help it's everfi need help

Help It's Everfi Need Help

Answers

Answer 1

the answer would be 750


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.

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

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:

4. Given ABC with vertices at A(1,-4), B(-1,-2), and C(-2,-5), prove or disprove that ABC is isosceles

Answers

Answer: ABC is isosceles

Step-by-step explanation:

The coordinate of points given are:

A(1,-4)

B(-1, -2 )

C ( -2 , -5 )

For ABC to be isosceles , then AB must be equal to BC or AB = AC

The next thing to do  is to find the value of AB , BC and AC using the formula for finding distance between two points which is given by:

D = [tex]\sqrt{(x_{2}-x_{1})  ^{2}+(y_{2}-y_{1})  ^{2}}[/tex]

Calculating AB first , we have

[tex]\sqrt{(-1-1)^{2}+(-2+4)^{2}  }[/tex]

= [tex]\sqrt{4+4}[/tex]

=[tex]\sqrt{8}[/tex]

Therefore:

AB = [tex]\sqrt{8}[/tex]

Calculating BC , we have :

D = [tex]\sqrt{(x_{2}-x_{1})  ^{2}+(y_{2}-y_{1})  ^{2}}[/tex]

D = [tex]\sqrt{(-2+1)^{2}+(-5+2)^{2}  }[/tex]

D = [tex]\sqrt{10}[/tex]

Therefore:

BC = [tex]\sqrt{10}[/tex]

Calculating AC , we have :

D = [tex]\sqrt{(x_{2}-x_{1})  ^{2}+(y_{2}-y_{1})  ^{2}}[/tex]

D = [tex]\sqrt{(-2-1)^{2}+(-5+4)^{2}  }[/tex]

D = [tex]\sqrt{10}[/tex]

Therefore:

AC = [tex]\sqrt{10}[/tex]

Since AC = BC then triangle ABC is isosceles

Practice Analytic Geometry

1. Find the midpoint of the line segment defined by the points: (sqrt 2, 0) and (0, -sqrt 2)

Answer is ((sqrt 2)/2, (-sqrt2)/2)

2. Find the distance of the line segment joining the two points: (5,4) and (-2,1)

Answer is sqrt 58

3. Find the distance of the line segment joining the two points: (1/2, -5/2) and (-4/3, -1/6)

Answer is (sqrt 317)/6

4. Given triangle ABC with vertices at A (1,-4), B (-1, -2), and C (-2,-5), prove or disprove that triangle ABC is an isosceles

Answer triangle ABC is isosceles since AB = sqrt 8, BC = sqrt 10, and AC = sqrt 10

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:

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

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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.

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]

What is the value of x?
6x - 3
3x + 6
Enter your answer in the box.
5x

Answers

Answer:

Step-by-step explanation:

The correct answer is x = 3

The value of x in the equilateral triangle is 3 units.

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know the perimeter of any planer figure except a circle is the sum of the lengths of all the sides and we also know that an equilateral triangle has equal sides and equal angles.

∴ We can equate any of the two sides of the given equilateral triangle.

So, 5x = 6x - 3.

5x - 6x = - 3.

- x = - 3.

x = 3.

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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.

An ice cream factory makes 350 quarts of ice cream in 2 hours. How many quarts could be made in 36 hours? What was that rate per day?

Answers

Answer:

36 hours - 6,300

24 hours - 4,200

In 36 hours, 6300 quarts of ice cream could be made. The rate per day would be 6300 quarts per day.

350 quarts of ice cream are made in 2 hours. To find out how many quarts could be made in 36 hours, we can set up a proportion: 350 quarts / 2 hours = x quarts / 36 hours. Solving for x gives us 6300 quarts in 36 hours. To find the rate per day, we divide the total quarts made in 36 hours by the number of days: 6300 quarts / 1 day = 6300 quarts per day.

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:

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)

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)

The ages of five friends are 20,31,28,31 and 25. How many of the friends are older than the average (arithmetic mean) age?

Answers

Answer:

3 friends

Step-by-step explanation:

The mean age is 27 so 3 friends are above that age.

Final answer:

The average age of the friends is 27. Only two of the friends, both aged 31, are older than the average age.

Explanation:

To find out how many of the friends are older than the average age, we need to first find the arithmetic mean of the ages. We do this by adding up all the ages and dividing by the number of ages. So, (20+31+28+31+25)/5 = 27. Once we have the average, we can see that the ages of 31 and 31 are larger than the average of 27. Therefore, there are 2 friends whose ages are older than the average.

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24.3 ounces for $8.76 or 32.6 ounces for $16.95 I need to use the unit rate to answer this questions and I'm really bad at this.

Answers

Answer:

8.76/24.3= 0.36

16.95/32.6= 0.519 round up to make 0.52

Step-by-step explanation:

8.76/24.3= 0.36

16.95/32.6= 0.519

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!

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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:

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

Plz answer it fast...
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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

An airplane 30,000 feet above the ground begins descending at the rate of 2000 feet per minute. Assume the plane continues at the same rate of descent. Write an equation to represent the height of the airplane in feet above the ground f(x) in relationship to time in minutes x

Answers

[tex]f = 30000 - (2000 \times m)[/tex] is an equation to represent the height of the airplane in feet above the ground f(x) in relationship to time in minutes x

Step-by-step explanation:

As given that the plane is at 30000 feet above the grounds. And starts descending at the rate of 2000 feet/ min  

So, let us consider the below,

H= height in feet above ground

r = rate of descent

m = minutes

So, now frame the required equation format with the given data as follows,

                           [tex]H = 30000 - (2000 \times m)[/tex]

A rectangular garden measures 5m by 7m. Both dimensions are to be extended by the same amount so that the area of the garden is doubled. By how much should the dimensions increase

Answers

Final answer:

To double the area of the rectangular garden, the dimensions should increase by 5 meters.

Explanation:

To double the area of the rectangular garden, we need to find the increase in dimensions that will result in double the original area. The original dimensions are 5m by 7m, so the original area is 5m x 7m = 35 square meters. To double this area, the new area should be 35 square meters x 2 = 70 square meters. Let's assume the increase in dimensions is 'x'. The new dimensions will be (5m + x) by (7m + x). We can set up the equation:

(5m + x)(7m + x) = 70 square meters

Expanding and simplifying the equation, we get:

35m + 5x + 7x + x^2 = 70 square meters

Combining like terms, we have:

x^2 + 12x + 35 = 70 square meters

Next, we rearrange the equation into standard form:

x^2 + 12x + 35 - 70 = 0

Simplifying further, we get:

x^2 + 12x - 35 = 0

Now we can solve this quadratic equation by factoring or using the quadratic formula. Factoring the equation gives us:

(x + 7)(x - 5) = 0

Setting each factor equal to zero, we have:

x + 7 = 0 or x - 5 = 0

Solving for 'x', we get:

x = -7 or x = 5

Since a negative value doesn't make sense in this context, we can conclude that the dimensions should increase by 5 meters.

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:

how would i distribute 2.5(-y+2)

Answers

How to distribute  2.5(-y + 2)

= (2.5 * -y) + (2.5 * 2)

= -2.5y + 5

Distributive Property is when you multiply different addends from a sum then add them.

______

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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.

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]

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


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.

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2. Tom is planting 24 vegetables in his garden.
He arranges them into rows and columns.
If there are 4 vegetables in each row, how
many columns are there?
Write the division sentence, then draw an array to
support your answer.​

Answers

Answer: 6 columns.

Step-by-step explanation:

24 ÷ 4 = 6

Answer:

6

Step-by-step explanation:

24 divided by 4 = 6

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

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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.

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