need help asap , this is for my online geometry class.​

Need Help Asap , This Is For My Online Geometry Class.

Answers

Answer 1

Answer:

MOP = DAB

Step-by-step explanation:

the sides have to be matched up as well. the side with only one dash (MO) has to correspond with the side with one dash from the other triangle (DA). Thus, the letters in the sequence (MOP) have to match up in the same order (DAB)

Answer 2

The correct congruency statement with regards to the congruence of the triangles is the fourth statement

ΔMOP ≅  ΔDAB

The details of the steps by which the congruence statement can be found can be presented as follows;

The marks on the segment indicates;

PO is congruent to BA

MO is congruent to DA

PM is congruent to BD

Therefore, the triangle MOP is congruent to the triangle DAB

The order in which the markings on the triangles are located can also be used to find the correct congruence statement

The name of the triangle MOP indicates that the vertice of the triangle between the segment with three marklings, III, and the segment with one marking, I, is considered first, which is the vertice M and D on each triangle

The next mentioned vertice is the vertice between the segment with one marking and the segment with two markings, which is the vertice O and A on each triangle

The third considered vertice is the third vertice on both triangles, which corresponds to the vertice P and B on each triangle

The congruency statement is therefore ΔMOP ≅ ΔDAB


Related Questions

Divide the following by hand (long division). (Show your work )

585 ÷ 13



Answers

Answer: 45

Step-by-step explanation: To divide this start with finding how many times 585 goes into 13 which is 0. I put a picture for you to look at.

Need help with gem trip sequences
36 points!!!!!!!!!

Answers

Answer:

[tex]a_{n}[/tex] = 8[tex](-3)^{n-1}[/tex]

Step-by-step explanation:

The n th term of a geometric sequence is

[tex]a_{n}[/tex] = a[tex](r)^{n-1}[/tex]

where a is the first term and r the common ratio

Here a = 8 and r = - 24 ÷ 8 = - 3, thus

[tex]a_{n}[/tex] = 8[tex](-3)^{n-1}[/tex]

In a school with 400 students, 120 ride the bus to school. What percent of the students ride the bus to school

Answers

30% you have to find a equivalent number with the denominated 100z multiply both numerator and denominator by 100. 120/400x100/100= (120 x 100/400) x 1/ 100=30

The students in the school ride the bus is 30 percent.

To find the percent of students who ride the bus to school in a school with 400 students when 120 students ride the bus, you would set up an equivalent fraction and solve for the percentage. The fraction of students who ride the bus is 120 out of 400 (120/400), and you want to find what percentage this is equivalent to, so you set up the fraction over 100 (x/100). To solve for x, you cross-multiply and divide:

(120/400) = (x/100)

400x = 120 × 100

x = (120 × 100) / 400

x = 12,000 / 400

x = 30

Therefore, 30 percent of the students at the school take the bus.

What is y greater then or equal to 2x on a graph

Answers

Answer:

The minimal number for the objective function P =20x+16y is: 780

The value of x then is: 15

and the value of y then is : 30

Step-by-step explanation:

We are given a system of inequalities as:

y is less than or equal to 2x

i.e.          y ≤ 2x--------(1)

x + y is greater than or equal to 45

i.e.      x+y ≥ 45  ------------(2)    

and    x is less than or equal to 30.    

i.e.               x ≤ 30 -----------(3)    

On plotting these inequalities we get the boundary points as:

        (15,30) , (30,60) and (30,15)    

( Since, the optimal solution always exist at the boundary point )

The optimal function is given by:

 Minimize  P = 20x+16y

Hence, at (15,30) we get:

P= 780

at (30,60) we get:

 P= 1560

at (30,15) we get:

P= 840

This  means that the minimal value of the function is 780

and the value exist at (15,30)

Find the coordinates of point B on AC such that Ab, is 1/4 of AC.

Answers

Answer:

The coordinates of point B is [tex](\frac{21}{4} , 2 )[/tex]

Step-by-step explanation:

Given:

Let,

[tex]B \equiv (x,y)\\A \equiv (x1,y1) \equiv (7,4)\\C \equiv (x2,y2) \equiv (0,-4)[/tex]

[tex]\frac{AB}{AC} =\frac{1}{4}[/tex]

First we need to find [tex]\frac{AB}{BC}[/tex]

[tex]\therefore \frac{AB}{AC} = \frac{1}{4}\\\therefore \frac{AC}{AB} = \frac{4}{1}\ Invertendo\\\therefore \frac{AC-AB}{AB} = \frac{4-1}{1}\ Dividendo\\ \therefore \frac{BC}{AB} = \frac{3}{1}\\ \therefore \frac{AB}{BC} = \frac{1}{3}\ Invertendo\\\therefore \frac{AB}{BC} = \frac{1}{3} = \frac{m}{n}\ say[/tex]

Now point B divide segment AC internally in the ratio m : n i.e 1/3.

So, by internal division formula, the X coordinate and the Y coordinate of point B are as follow

[tex]x =\frac{mx2+nx1}{m+n}\ and\ y = \frac{my2+ny1}{m+n}\\x =\frac{1\times 0 + 3\times 7}{1+3}\ and\ y =\frac{1\times -4 + 3\times 4}{1+3}\\x =\frac{21}{4}\ and\ y =\frac{8}{4}\\x =\frac{21}{4}\ and\ y = 2[/tex]

Therefore,The coordinates of point B is [tex](\frac{21}{4} , 2 )[/tex]

Answer:

5,2 is correct answer

Step-by-step explanation:

Anne is currently h years old. bill is currently 2h years old and Charles is currently eight years old. find an expression for each person’s age after h years. then find an expression for the sum of their ages after h years.

Answers

Ann's age after h years is 2h

Bill's age after h years is 3h

Charles' age after h years is 8 + h

The sum of their ages after h years is 6h + 8

Step-by-step explanation:

The given is:

Anne is currently h years old

Bill is currently 2h years old

Charles is currently eight years old

We need to find an expression for each person’s age after h years and then find an expression for the sum of their ages after h years

∵ Ann is h years old now

∵ Her age after h years = her age now + h

∴ Her age after h years = h + h

∴ Her age after h years = 2h

Ann's age after h years is 2h

∵ Bill is 2h years old now

∵ His age after h years = his age now + h

∴ His age after h years = 2h + h

∴ His age after h years = 3h

Bill's age after h years is 3h

∵ Charles is 8 years old now

∵ His age after h years = his age now + h

∴ His age after h years = 8 + h

∴ His age after h years = 8 + h

Charles' age after h years is 8 + h

Add their ages after h years

∵ The sum of their ages after 8 years = 2h + 3h + 8 + h

- Add like terms

∴ The sum of their ages after 8 years = (2h + 3h + h ) + 8

∴ The sum of their ages after 8 years = 6h + b

The sum of their ages after h years is 6h + 8

Learn more:

You can learn more about word problems in brainly.com/question/10557938

#LearnwithBrainly

Final answer:

Anne, Bill, and Charles's ages after h years will be 2h, 3h, and h+8, respectively. The sum of their ages after h years is 6h + 8.

Explanation:

The question asks for expressions that represent each person's age after h years and for the sum of their ages after h years. Currently, Anne is h years old, Bill is 2h years old, and Charles is eight years old.

After h years have passed:

Anne will be h + h or 2h years old.Bill will be 2h + h or 3h years old.Charles will be eight + h or h + 8 years old.

Now, to find the expression for the sum of their ages after h years, we add the expressions together:

Sum of their ages = Anne's age after h years + Bill's age after h years + Charles's age after h years
= 2h + 3h + (h + 8)
= 6h + 8.

WILL GIVE 100 POINTS



1. In a music stadium, there are 18 seats in the first row and 21 seats in the second row. The number of seats in a row continues to increase by 3 with each additional row.

(a) Write an explicit rule to model the sequence formed by the number of seats in each row. Show your work.

(b) Use the rule to determine which row has 120 seats. Show your work.

Answers

(a) The explicit rule to model the sequence formed by the number of seats in each row is [tex]a_{n}=15+3n[/tex]

(b) The 35th row has 120 seats

Step-by-step explanation:

The rule of the nth term of an arithmetic sequence is

[tex]a_{n}=a+(n-1)d[/tex] , where

a is the the first term d is the common difference between each two consecutive terms

∵ There are 18 seats in the 1st row

∵ There are 21 seats in the 2nd row

∵ 21 - 18 = 3

∵ The number of seats is increased by 3 with each additional row

- The number of seats in each row represents an arithmetic

   sequence because there is a common difference between

   each two consecutive rows

∴ The number of seats in each row formed an arithmetic sequence

∵ The number of seats in the first row = 18 seats

∴ a = 18

∵ The number of seats in a row continues to increase by 3 with each

   additional row

∴ d = 3

- Substitute the values of a and d in the rule of nth term

∴ [tex]a_{n}=18+(n-1)3[/tex]

- Simplify the right hand side

∴ [tex]a_{n}=18+3n-3[/tex]

- Add like terms

∴ [tex]a_{n}=15+3n[/tex]

(a) The explicit rule to model the sequence formed by the number of seats in each row is [tex]a_{n}=15+3n[/tex]

∵ There are 120 seat in a row

- Substitute [tex]a_{n}[/tex] by 120 in the rule above

∴ 120 = 15 + 3n

- Subtract 15 from both sides

∴ 105 = 3n

- Divide both sides by 3

∴ n = 35

∴ The number of the row is 35

(b) The 35th row has 120 seats

Learn more:

You can learn more about the sequences in brainly.com/question/7221312

#LearnwithBrainly

Jamie and Stella are saving money to sign up for a school trip to Washington, D.C. In order to sign up for the trip, they must pay $600 upfront. Jamie earns his money by washing cars for $25 each. Stella earns her money by making pecan pies for $15 each. Jamie earns more money than Stella does because Stella only has enough supplies to make 40 pies. let x represent the number of cars Jamie washes. Let y represent the number of pies Stella makes.

Part 1: Write a constraint (an inequality) to represent how much money Jamie needs for his trip.

Part 2: Write a constraint (an inequality) to represent how much money Stella needs for her trip.

Part 3: Write a constraint (an inequality) to represent the limitations of Stella's supplies.

Part 4: Can Stella afford to sign up for the trip with the money she earns? Explain your answer and show any work that might support your answer.

Answers

Answer:

Jamie: His inequality would look like this:  25x >= 600

Stella: Her inequality would look like this: 15y >= 600

Her limitations would be listed as: y=40

Yep. Stella has plenty of money by baking 40 pies; $600.

We can back that up by breaking this down. So. We know that it cost $600 to pay upfront and Jamie makes $25 per car he washes. Stella would make $15 for every pie she baked. So simply, let x represent the number of cars Jamie washes. Let y represent the number of pies Stella makes. Easy.

Since the cost for washing one car is $25

Now, in order to sign up for the trip, money obtained from car washing must be greater than or equal to $600. We know that. Now, lets see their profit margins.

Since the cost for making one pie is $15

Therefore, the cost of making y pies is 15y.

Now, in order to sign up for the trip, money obtained from pie making must be greater than or equal to $600 so with that being the case... 15y>=600

We all know the maximum number of pies that Stella can make is 40. So, the value of can't exceed 40 and must be less than or equal to 40. So.... y<=40

Bam.

In order to sign up for the trip, Stella's total earning must be at least $600. So, is the minimum condition for signing up for the trip. Now, let us solve the above equation for . So our end project looks like this: 15y = 600 y = 600/15 = 40

The minimum number of pies required for signing up for the trip is 40 and luckily that's the maximum supply Stella has for pies. Therefore, she can sign up for the trip by making all the 40 pies and earning a total of 600 dollars.

Step-by-step explanation:

NEED HELP FAST!!!!! The graph below compares plant height to the age of the plant, in weeks. Y=1.3x-0.8 Based on the graph, which is the best prediction of the height of the plant at 5 weeks?

A.)4 inches

B.) 5 inches

C.)6 inches

D.)7 inches
will award with brainllest

Answers

Answer:

C) 6 inches

Step-by-step explanation:

Given function:

[tex]Y=1.3x-0.8[/tex]

The function compares plant height in inches to the age of plant in weeks.

So, we can say

[tex]Y[/tex] represents height of plant in inches.

[tex]x[/tex] represents age of the plant in weeks.

In order to predict the height of the plant in 5 weeks, we will plugin [tex]x=5[/tex] in the given function and evaluate [tex]Y[/tex]

⇒ [tex]Y=1.3(5)-0.8[/tex]

⇒ [tex]Y=6.5-0.8[/tex]

⇒ [tex]Y=5.7[/tex] inches

Thus the approximate height of plant in 5 weeks would be [tex]\approx 6[/tex] inches

Answer:

C: 6

Step-by-step explanation:

A class is made up of 10 boys and 4 girls. Half of the girls wear glasses. A student is selected at random from the class. What is the probability that the student is a girl with glasses?
Write your answer as a fraction in simplest form.

Answers

Answer:

[tex]\frac{2}{7}[/tex]

Step-by-step explanation:

The possibility of the event A occurring is given by the formula:

[tex]\boxed{P(A)= \frac{\text{number of favourable outcomes in A}}{\text{total possible outcomes}}}[/tex]

Since the event that we are looking for (favourable event) is choosing a girl with glasses, the number of favourable outcomes is the number of girls with glasses in the class.

Number of favourable outcomes= 4

Total possible outcomes

= total number of students in the class

= 10 +4

= 14

Thus, P(girl with glasses)

= [tex]\frac{4}{14}[/tex]

= [tex]\bf{\frac{2}{7} }[/tex]

Additional:

For more questions on probability, do check out the following!

https://brainly.com/question/12732115

Can someone please help me with this math problem?? It’s Special Right Triangles: Decimal Answers ! Round to the nearest tenth. I will really appreciate it thank you !

Answers

Answer:

c = 1.4

d = 8

Step-by-step explanation:

In a 45-45-90 triangle, the legs are equal and the hypotenuse is √2 times that.

2 = c √2

c = 2 / √2

c = 1.4

In a 30-60-90 triangle, the hypotenuse is 2 times the short side, and the long side is √3 times the short side.

d = 2 × 4

d = 8

Which numerical expression correctly
translates the phrase 4 less than the
sum of 9 and 2?
O A. 9+2 - 4
OB. 9- 4+2
O c. 4 - (9+2)
OD. 4 - 9+2
0

Answers

Answer: The answer is (9+2) - 4

Step-by-step explanation:

Final answer:

The correct numerical expression that translates the phrase "4 less than the sum of 9 and 2" is Option A: 9 + 2 - 4, which calculates the sum of 9 and 2, then subtracts 4.

Explanation:

The question asks which numerical expression correctly translates the phrase "4 less than the sum of 9 and 2." To solve this, you first need to find the sum of 9 and 2, and then subtract 4 from it. The sum of 9 and 2 is 11, so subtracting 4 from this sum would give us 7. The correct numerical expression for this operation is 9 + 2 - 4.

Therefore, as per the above explaination, the correct answer is Option A: 9 + 2 - 4 which results in 7.

Blaine buys 2 books and the total cost is $24.18. What is the constant of proportionality that relates the cost in dollars, y, to the number of books, x?

Answers

Answer:

$12.09

Step-by-step explanation:

formula Y = KX

where; y = $24.18

            x = 2 books

            k = constant proportionality

Step 1. Do the equation based on the data given

$24.18 = k 2

Step 2. Divide 2 on both sides to eliminate integer on the right side

$24.18 / 2 = k2/2

Answer ;

k = $12.09 dollar in relate to number of books

A point P lies on the line with
equation y = -2x + 3. If the x-value
of the point is 3, what is the y-value?​

Answers

Answer:

y = - 3

Step-by-step explanation:

To find the value of y, substitute x = 3 into the equation, that is

y = - 2(3) + 3 = - 6 + 3 = - 3

Opposite angles j and m must be:

Answers

In a quadrilateral inscribed in a circle, opposite angles are supplementary. Hence, opposite angles J and M in quadrilateral JUMP are supplementary, totaling 180 degrees.

In the given diagram, quadrilateral JUMP is inscribed in a circle. According to the property of inscribed angles, when a quadrilateral is inscribed in a circle, opposite angles are supplementary, meaning they add up to 180 degrees.

Given that angles J and M are opposite angles in quadrilateral JUMP and must be right angles, it implies that they are supplementary. This is because right angles measure 90 degrees each, and the sum of two right angles equals 180 degrees, making them supplementary.

Therefore, we conclude that angles J and M are supplementary, with a combined measure of 180 degrees.

To summarize, in the inscribed quadrilateral JUMP, opposite angles J and M are supplementary, totaling 180 degrees, due to the property of angles in a quadrilateral inscribed in a circle.

The question probable may be:

In the diagram below, quadrilateral JUMP is inscribed in a circle. Opposite angles J and M must be right 2. complementary 3. congruent 4 supplementary

The sum of two numbers is 4. Four times the larger number plus three times the smaller number is 31. Find the numbers.
The larger number is___
and the smaller number is ____

Answers

Answer:

larger no=19, smaller no=-15

Step-by-step explanation:

let X be the larger no &Y be the smaller no

so [tex]X+Y[/tex]=4.....(1)

[tex]4X+3Y[/tex]=31............(2)

from [tex](2)- (1)*3[/tex]

[tex]4X+3Y-3X-3Y[/tex]=[tex]31-12[/tex]

X=19

Y=-15

Final answer:

To find the two numbers, we can set up a system of equations and use the method of substitution to solve it.

Explanation:

Let's represent the two numbers as x and y. We are given that x + y = 4 and 4x + 3y = 31.

To solve this system of equations, we can use the method of substitution. From the first equation, we can express x = 4 - y. Substituting this into the second equation, we have 4(4 - y) + 3y = 31.

Simplifying this equation gives us 16 - 4y + 3y = 31. Combining like terms, we get -y + 16 = 31. Subtracting 16 from both sides, we have -y = 15. Finally, multiplying both sides by -1, we find that y = -15.

Substituting this value back into x + y = 4, we get x + (-15) = 4, which gives us x = 19.

Therefore, the larger number is 19 and the smaller number is -15.

Learn more about Solving systems of equations here:

https://brainly.com/question/29050831

#SPJ3

Nathan went to the grocery store and bought bottles of soda and bottles of juice. Each bottle of soda has 25 grams of sugar and each bottle of juice has 35 grams of sugar. Nathan purchased 3 more bottles of juice than bottles of soda and they all collectively contain 405 grams of sugar. Write a system of equations that could be used to determine the number of bottles of soda purchased and the number of bottles of juice purchased. Define the variables that you use to write the system.

Answers

25x+35y=405 and y= x+3 can be used to determine the number of bottles of soda and number of bottles of juice purchased where, x represents the number of soda bottles and y represents the number of juice bottles.

Step-by-step explanation:

Given,

Sugar contained by each soda bottle = 25 grams

Sugar contained by each juice bottle = 35 grams

Let,

x be the number of soda bottles.

y be the number of juice bottles.

According to given statement;

25x+35y=405   Eqn 1

y= x+3   Eqn 2

25x+35y=405 and y= x+3 can be used to determine the number of bottles of soda and number of bottles of juice purchased where, x represents the number of soda bottles and y represents the number of juice bottles.

Keywords: Linear equation, substitution method

Learn more about linear equations at:

brainly.com/question/9532142brainly.com/question/9590016

#LearnwithBrainly

If one card is drawn from an ordinary deck of cards what is the probability of getting a red card or a 10 or a queen?​

Answers

Answer:

[tex]\frac{17}{26}[/tex]

Step-by-step explanation:

In probability

"AND" means to multiply, and

"OR" means to add

Here, we want probability getting a red card OR a 10 OR a queen. So we find each individual probabilities and ADD.

In a standard deck, there is 52 cards.

P(Red):

half the cards are red and half are black, so there are 52/2 = 26 red cards

Hence

P(Red) = 26/52 = 1/2

P(10):

There are 4 suits with each one having 1 "10" card, so there are FOUR 10s in a deck. So,

P(10) = 4/52 = 1/13

P(Queen):

There are 4 suits with each one having 1 Queen. So in 4 suits, there are a total of 4 Queens. So,

P(Queen) = 4/52 = 1/13

P(Red, or, 10, or, Queen) = 1/2 + 1/13 + 1/13 = [tex]\frac{17}{26}[/tex]

Solve x3 = 135.——————-....,.;),)557:6:;7(87;$;$(,7)8)9)976&($(&(&(&(&(&)&)&(&(8)9))9)86

Answers

Answer:

For the given expression [tex]x^3 = 135[/tex] , the value of x = 5.13

Step-by-step explanation:

Here, the given expression is : [tex]x^3 = 135[/tex]

Now, to solve this given equation,we need to find the suitable value for x.

Solving for x , we get:

[tex]x^3 = 135[/tex]

Taking cube roots both sides, we get:

[tex]\sqrt[3]{(x)^3}  = \sqrt[3]{135} \\\implies (x)^{3 \times \frac{1}{3}}   =  (135)^{\frac{1}{3}} \\[/tex]

But, 135 = 5.13 x 5.13 x 5.13

[tex]\implies 135   =  (5.13)^3\\\implies x^{3 \times \frac{1}{3}} =  (5.13)^{3 \times \frac{1}{3}}\\\implies x  = 5.13[/tex]

Hence, for the given expression [tex]x^3 = 135[/tex], the value of  x = 5.13

Answer:

the other answer was a bit confusing so, 135 divided by 3 is 45, so, x=45

135 divided by 45 is 3 lol.

Step-by-step explanation:

Plz answer it fast...
Will mark ur answer as brainliest..
U will get points too..

Find the amount if Rs.2000 is invested for 2 yrs at 4% per annum compounded annually.

Answers

Answer:

Rs 2163.20.

Step-by-step explanation:

The formula for this is

A = P(1 + r)^t     where P is the amount invested, r = the rate (as a decimal) and t = the number of years.

So for rs 2000 we have:

A = 2000(1 + 0.04)^2 = Rs 2163.20

Could anyone tell me if I’m right. This is a gradient of a line question

Answers

Answer:

See Below (it is correct)

Step-by-step explanation:

First point given ----  A(-3,0)

2nd point given ----- B(4,0)

The slope is the "change in quantity y" divided by "change in quantity x"

The change would be from 2nd point to 1st point. So,

Change in quantity y is 0 - 0 = 0

Change in quantity x is 4 - (-3) = 4 + 3 = 7

So, slope would be:

Slope = 0/7 = 0

The slope is 0 (which means it is a horizontal line)

3x9+10x36/6 please help me

Answers

Answer:

87

(3 times 9)+(10 times 6)

Step-by-step explanation:

PEMDAS

36/6=6

the answer is 87
3*9+10*36/6
27+10*36/6
27+360/6
27+60
87

this is because you use PEMDAS

What is 5,841 divided by 62

Answers

it's 94.20967742 if you simplify it you will get 94.21

Final answer:

5,841 divided by 62 equals 94 with a remainder of 13. You can find this using long division, where 62 goes into 584 (from 5,841) nine times and then into 261 (the remainder with the next digit) four times.

Explanation:

To find the result of 5,841 divided by 62, we can use long division. Let's break down the problem step by step:

Place 5,841 under the division bar and 62 outside, to the left.First, determine how many times 62 goes into 584 (the first three digits of 5,841). It goes in 9 times because 9 * 62 = 558. Place the 9 above the division bar, above the 4.Subtract 558 from 584 to get 26 and bring down the next digit from 5,841, which is 1, giving us 261.Now, see how many times 62 can fit into 261. It goes in 4 times (4 * 62 = 248), so we place a 4 above the division bar, to the right of the 9.Subtract 248 from 261 to get a remainder of 13.Since there are no more digits to bring down, we have completed the long division. So, 5,841 divided by 62 equals 94 with a remainder of 13.

To express this as a decimal, we could continue the division process by adding a decimal point and zeros to the dividend, but that is not requested in this problem.

Estimate by rounding to the nearest ten thousand: 943,361 - 24,200

Answers

Answer:

920,000

Step-by-step explanation:

943,361-24,200=919,161=920,000


What is the slope-intercept equation of this line?​

Answers

Answer:

B

Step-by-step explanation:

If you use the method of rise over run, you find the slope to be -2, and the y intercept is given.

y = 2x+8 is the slope-intercept equation of the line. Option D is correct.

From figure two points (0,8), (6, -4). equation of the line to be determine.

What is equation of the line?

Equation of the line is y = mx +c where m = slope and c = y intercept.

Here
Equation of the line = [tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
y - 8 = 8+4/0+6(x-0)
y - 8 = 2(x)
y = 2x + 8

Thus, y = 2x+8 is the slope-intercept equation of the line.

Learn more about equation of line here:
https://brainly.com/question/21511618

#SPJ2

Solve for x. 5x+4=19

Answers

Answer:

x=3

Step-by-step explanation:

5x+4=19

5x=19-4

5x=15

x=15/5

x=3

Answer:

x = 3

Step-by-step explanation:

Given

5x + 4 = 19 ( subtract 4 from both sides )

5x = 15 ( divide both sides by 5 )

x = 3

Credit cards are 0.76 mm thick.How thick is a stack of 10 ^3 credit card piled one on top of the other?

Answers

Answer:

760 mm

Step-by-step explanation:

The total of monthly payments for a three-year loan is $22,317.12. The APR is 4%. How much money was originally borrowed?

Answers

Answer:

$717336

Step-by-step explanation:

The total of monthly payments for a 3-year loan is $22317.12.

So, the total amount has to pay back in 3 years is $(22317.12 × 12 × 3) = $803416.32.

Let the amount of money that was originally borrowed is $x and the given APR is 4%.

Then we can write, [tex]x(1 + \frac{4 \times 3}{100}) = 803416.32[/tex]

⇒ 1.12x = 803416.32

x = $717336 (answer)

There is more than one way to add up money. Fill in the blanks to show two ways to make this amount: $2.41

Answers

$1+$1+25c+10c+5c+1c
9x 25c+10c+5c+1c

Please mark BRAINLIEST!

Larry and Curly can build a bookcase together in $2$ hours. Curly and Moe can build a bookcase together in $1 \frac{2}{3}$ hours. Larry, Curly, and Moe can build a bookcase together in $1$ hour. How many hours would it take for Larry and Moe to build a bookcase together?

Answers

Answer:

1 ¹/₉ hours

Step-by-step explanation:

Let's say L is Larry's speed, C is Curly's speed, and M is Moe's speed.

1 = 2 (L + C)

1 = 1 ⅔ (C + M)

1 = 1 (L + C + M)

Solve the system of equations.  First, simplify the equations:

1 = 2L + 2C

3 = 5C + 5M

1 = L + C + M

Double the third equation and subtract the first equation from it:

2 = 2L + 2C + 2M

1 = 2L + 2C

1 = 2M

M = 1/2

Plugging into the second and third equations, we get:

C = 1/10

L = 2/5

Therefore, the time it takes Larry and Moe together is:

1 = t (L + M)

t = 1 / (L + M)

t = 1 / (2/5 + 1/2)

t = 1 / (4/10 + 5/10)

t = 1 / (9/10)

t = 10/9

t = 1 ¹/₉ hours

It takes them 1 ¹/₉ hours, or 1 hour 6 minutes 40 seconds.

Larry and Moe would take 5/3 hours, or 1 hour and 40 minutes, to build a bookcase together, based on the rates of building individually and in different pairs.

Larry and Curly together build a bookcase in 2 hours. This means that together they have a rate of 0.5 bookcases per hour, since 1 divided by 2 is 0.5. Similarly, Curly and Moe together can build one in 1 2/3 hours, which is the same as 5/3 hours. Therefore, their collective rate is 3/5 bookcases per hour. Larry, Curly, and Moe together can build a bookcase in 1 hour, which means their combined rate is 1 bookcase per hour.

Let's denote the rates of work for Larry, Curly, and Moe as L, C, and M respectively. When working together the sum of their rates equates to the rate at which they finish the job together. Hence:

L + C = 0.5 (Larry and Curly's rate)

C + M = 3/5 (Curly and Moe's rate)

L + C + M = 1 (Larry, Curly, and Moe's rate)

Using the first two equations, we can solve for L and M by substituting the values into the third equation:

L + 3/5 = 1

L = 1 - 3/5 = 2/5

C + 0.5 = 1

C = 1 - 0.5 = 0.5

Now we know that Larry's rate is 2/5 bookcase per hour, and Curly's rate is 0.5 bookcase per hour. We can use Curly's rate to find Moe's rate:

C + M = 3/5

0.5 + M = 3/5

M = 3/5 - 0.5 = 1/5

Larry and Moe's combined rate is L + M = 2/5 + 1/5 = 3/5 bookcases per hour.

To find the time it takes for Larry and Moe to build one bookcase together, we take the reciprocal of their combined rate:

Time = 1 / (L + M) = 1 / (3/5) = 5/3 hours, which is equal to 1 hour and 40 minutes.

Other Questions
What extent did political change in Latin America Orangutans can move by brachiation, swinging like a pendulum beneath successive handholds. If an orangutan has arms that are 0.90 m long and repeatedly swings to a 20 angle, taking one swing immediately after another, estimate how fast it is moving in m/s. Identify the choice that best describes the underlined verbal phrase9. one form of bowling _found in Scotland_ involves heaving a ball at the pins and flopping down face forwardA- gerund phraseB-participle phaseC- adverb phraseD- none of the above es - Multiply the binomials (5x - 1) and (2x - 8).A)10x2 - 42x - 8B)10x2 - 42x + 8o10x2 + 38x - 8D)10x2 38x - 8 Write as one logarithm. Simplify.log5 125 log5 25 A satellite has a mass of 5850 kg and is in a circular orbit 4.1 x10 to the 5th power m above the surface of a planet. The period of the orbit is two hours. The radius of the planet is 4.15 x 10 to the 6th power m. What is the true weight of the satellite when itis at rest on the planet's surface? Which part/phrase/sentence in the passage is a reason due to which Jake may be disqualified to be a juror?Jake is a 19-year-old US citizen. He has been living in Tampa, Florida since the past seven years along with his family. He has a good command over the English language. He weighs 150 lbs. and is more than six feet tall. He has a minor criminal record. A 75.0 mL 75.0 mL aliquot of a 1.70 M 1.70 M solution is diluted to a total volume of 278 mL. 278 mL. A 139 mL 139 mL portion of that solution is diluted by adding 165 mL 165 mL of water. What is the final concentration? Assume the volumes are additive. (2, -3) and (6,-13)What is the slope The following price quotations are for exchange-listed options on Primo Corporation common stock. Company Strike Expiration Call Put Primo 61.12 55 Feb 7.25 0.48 With transaction costs ignored, how much would a buyer have to pay for one call option contract. Assume each contract is for 100 The perimeter of a rectangle is 34cm.Find the breadth of the rectangle if its length is 12cm. 3x - 3y = -32x - y = -5 A 0.20 kg object, attached to a spring with spring constant k = 10 N/m, is moving on a horizontal frictionless surface in simple harmonic motion of amplitude of 0.080 m. What is its speed at the instant when its displacement is 0.040 m? (Hint: Use conservation of energy.) A woman drops a vibrating tuning fork, which is vibrating at 513 Hertz, from a tall building. Through what distance (in m) has the tuning fork fallen when the frequency detected at the starting point is 489 Hertz? (Assume the speed of sound in air is 343 m/s.) What are the reasons for the several day delay in a primary response. Infection______. A. transport to secondary lymphoid tissue B. antigen processing and presentation C. small initial # of lymphocytes specific for the antigen D. proliferation and differentiation. Tim is writing a blog post comparing the genres of sciencefiction and fantasyWhich would be an appropriate way for Tim to conclude hispost?A. a definition of each genreB.an explanation of the genre magical realismC.an invitation to the reader to explore both genresD. an argument that one of the genres is better than theother. This is the term used for a lawyer who argues for the conviction of a defendant in a criminal case. What does a obgyn do? Which approach to therapy focuses on the early stages of psychosexual development to provide insight into understanding the causes of a persons disorder? Am i doing this right?y = -4