Answer: 2/3
Step-by-step explanation: In this problem, we have 8/15 ÷ 4/5. Dividing by a fraction is the same as multiplying by its reciprocal. In other words, we can change the division sign to multiplication and flip the second fraction.
8/15 ÷ 4/5 can be rewritten as 8/15 × 5/4
Now, we are simply multiplying fractions so we multiply across the numerators and multiply across the denominators.
8/15 × 5/4 = 40/60 = 2/3
Simplify these expressions.
a. 4c + 9 + 3
b. 10x + (–4) + (–10)
c. –9 + 3x + 14
d. 11y + 6 + (–7)
how many ounces is 5 3/4 cups
Answer:
46 fluid ounces
Step-by-step explanation:
The formula is to multiply the volume by 8
In the formula I=P.rt, what does r stand for?
a. Rate: the percent that interest is paid annually as a decimal
b. Ratio: the size of the interest interval compared to time
Return: how much money you end up earning
d. Reserves: how much money you have in the investment
C.
Ro
Please select the best answer from the choices provided
Mark thin and nature
Save and Exit
Sithmit
vity
Answer:
a. Rate: the percent that interest is paid annually as a decimal. explanation:In the given formula of simple interest I = P.r.t
P is the principal or initial amount.
r is the rate of interest paid annually as a decimal.
t is the time period in years.
The simple interest formula permits us to calculate I, which is the interest charged or earned on a loan.
HELP PLEASE!!!!!!!!!!!
Earl sold 5 times as many movies tickets this week as he did last week he sold 80 tickets this week. how many tickets did earl sell the week before?
Answer:
16
Step-by-step explanation:
80 divided by 5 equals to 16.
You divide by 5 because Since he sold 80 this week and last week was 5 times less.
Final answer:
Earl sold 5 times as many movie tickets this week as he did the week before, with a total of 80 tickets sold this week. By dividing 80 by 5, it's determined that Earl sold 16 tickets the previous week.
Explanation:
The question relates to Earl who sold movie tickets over two consecutive weeks. He sold 5 times as many tickets this week as he did the previous week, with a total of 80 tickets sold this week. To determine how many tickets Earl sold the week before, we divide the total number of tickets sold this week by 5.
Calculation: 80 tickets ÷ 5 = 16 tickets.
Therefore, Earl sold 16 tickets the week before.
What is 10 m = _____ mm
Answer:
1000 mm
Step-by-step explanation:
Because the conversion from meters to centimeters is 1 m = 100 cm
And the conversion from centimeters to millimeters is 1 cm = 10 mm
Add zeros and you get 1000 mm
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what is the the reciprocal of 4/11
Answer: 11/4
Step-by-step explanation: When we are trying to find the reciprocal of a fraction, we just flip the fraction so that our numerator is on the bottom and our denominator is on the top.
In this case, we can change 4/11 to 11/4 by flipping the fraction.
Therefore, the reciprocal of 4/11 is 11/4.
I PROMISE BRAINLIST 20 PTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Suppose you are building a brick border for a garden by stacking rows of bricks on top of each other. If the height of each brick is 2.5 inches and r represents the number of rows, which algebraic expression would represent the height of the brick wall?
(1 point)
A.)2.5 + r
B.)2.5r + r
C.)2.5
D.)2.5r
D.) 2.5r
You are having r rows with 2.5 inches of bricks.
64y-4+2y=-2
solve the equation
Answer:33=y
Step 64u to 2y you get 66y the. -2+4 and you get 2 which is 66y=2. Now divide 66 by two to get 33=y
i have homework yea only a few questions help meh pls only
4 questions shanks
1. witch translation will always produce the same image as rotated 90
a reflection over the y-axis
b rotaion 270 clockwise
c rotaion 90 clockwise
d a reflection over x axis
2 -1,7 is rotated 270 counterclockwise whats the new cords
3 -8, -12 is refleted over x axis whats the new cords
4 representation for transformation 7 units left and 6 units up
Answer:
1.) B
2.) (7,1)
3.) (-8,12)
(-7,+6)
Step-by-step explanation:
the gcf of the two numbers 14 and 20 is
Answer:
2
Step-by-step explanation:
List the factors of both 14 and 20
14: 1,2,7,14
20:1,2,4,5,10,20
find the numbers in common
1 and 2
which one is greater?
1<2
2 is the gcf
According to the Constitution, the amount of time the president and vice president serve in office together for one term is
four years
six years.
seven years
ten years
The correct term for which the President and Vice President serve in office together is four years.
According to the 22nd Amendment to the United States Constitution, the President and Vice President are elected to serve a term of four years. This amendment, ratified in 1951, also limits the President to two terms in office, but each term is four years long. Therefore, the total amount of time a President and Vice President can serve together consecutively is eight years, assuming they are re-elected for a second term. The Constitution does not provide for terms of six, seven, or ten years for the President and Vice President.
Jaime has two fractions, 3/18 and 13/15, that he needs to compare. He knows he will not be able to tell which is bigger until they have been rewritten with the same denominator. Which of the following shows both of these fractions rewritten with their least common denominator?
Answer:
3/18= 1/6= .166
13/15= .866
3/18 < 13/15
Another way is
15/90 for 3/18
78/90 for 13/15
3/18 < 13/15
lcd: 90
The diagram shows triangle ABC, with AB = xcm, AC = (x+2)cm, BC = 2square root7cm and angle CAB = 60°.
(i) Find the value of x.
To determine x in triangle ABC with given side lengths and an angle, apply the Law of Cosines and solve the resultant quadratic equation.
Explanation:The question asks for the value of x in a triangle with sides AB = x cm, AC = (x+2) cm, and BC = 2√7 cm, with an angle CAB of 60°. This problem can be solved using the Law of Cosines which states that in any triangle, c² = a² + b² - 2ab×cos(C), where c is the side opposite angle C and a and b are the other two sides.
To find the value of x, we substitute the given values into the Law of Cosines formula:
[tex]BC² = AB² + AC² - 2×AB×AC×cos(CAB)(2√7)² = x² + (x+2)² - 2×x×(x+2)×cos(60°)[/tex]Solve for x paying attention to the fact that cos(60°) is 0.5. After simplifying the equation, we obtain a quadratic equation in x, which can be solved using standard algebraic methods.
Note: The provided solution excerpts are related to vector components and do not directly apply to solving this triangle problem.
The perimeter of a rectangle is 212. The length is 16 more than 5 times the width. Find the dimensions.
Answer:
Dimensions are
Length= 91 units
Width=15 units
Step-by-step explanation:
The formula for perimeter is 2(l+w) where l is length and w is width.
Given perimeter is 212 units
Let the width , w=x units
Length is 16 more 5 times the width= 5x+16 units
So length will be = 5x+16
and width will be= x
Perimeter = 2(l+w)
212=2( 5x+16+x)
212=10x+32+2x
212=12x+32
212-32=12x
180=12x
180/12=12x/12
15=x----------------------width
For length= 5x+16
l=(5*15) +16
l=75+16=91 units-------------length
A family is measuring its house in order to figure out how much paint will be
needed to paint the house. Which is the dependent variable in the relationship?
Answer: How much paint
The independent variable is the measuring of the house
In this context, the dependent variable is the amount of paint needed. This is dependent on the size of the house (the independent variable). As the size of the house changes, it affects the amount of paint needed.
Explanation:In this situation, where a family is trying to figure out how much paint is needed to paint their home, the dependent variable would be the amount of paint needed. This is because the amount of paint is dependent on the size of the house (the independent variable). The independent variable is the one that can be changed or manipulated, in this context it is the size of the house. The dependent variable is what is being measured and it depends on the value of the independent variable, in this case it's the amount of paint needed.
So in simple terms, as the size of the house changes (independent variable), it will affect the amount of paint the family will need (dependent variable).
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Savannah went to the grocery store and purchased cans of soup and frozen dinners. Each can of soup has 200 mg of sodium and each frozen dinner has 350 mg of sodium. Savannah purchased a total of 13 cans of soup and frozen dinners which collectively contain 3050 mg of sodium. Write a system of equations that could be used to determine the number of cans of soup purchased and the number of frozen dinners purchased. Define the variables that you use to write the system.
Answer:
65
Step-by-step explanation:
The system of equations is: [tex]\( x + y = 13 \)[/tex] and [tex]\( 200x + 350y = 3050 \)[/tex], where \( x \) represents the number of cans of soup purchased and \( y \) represents the number of frozen dinners purchased.
Let's define:
- \( x \) as the number of cans of soup purchased.
- \( y \) as the number of frozen dinners purchased.
The system of equations would be:
1.[tex]\( x + y = 13 \)[/tex] (since Savannah purchased a total of 13 cans of soup and frozen dinners)
2.[tex]\( 200x + 350y = 3050 \)[/tex] (since each can of soup has 200 mg of sodium and each frozen dinner has 350 mg of sodium, and together they contain 3050 mg of sodium).
evaluate the expression when p=-5 and q=10. 20+2q÷p
Answer:
-6
Step-by-step explanation:
p=-5 q=10
20+2q/p
10+2(10)/-5
10+20/-5
30/-5
-6
Hope this helps!
What is 7.0717 million in figures?
Answer:
7,071,700 or seven million seventy one thousand and seven hundred
Step-by-step explanation:
7.0717 can be in three parts7,071,77 million71 thousand7 hundredAnswer:
In figures - 7071700
Step-by-step explanation:
Given : Number 7.0717 million.
To find : What is number in figures?
Solution :
We know that, 1 million has 6 zeros.
i.e. 1 million [tex]1000000[/tex]
7.0717 million is [tex]7.0717\times 1000000[/tex]
7.0717 million is 7071700.
In figures - 7071700
In which there are 7 million, 71 thousand and 7 hundred
A rectangular field has an area of 162 m2.
The width of the field is 6 m.
What is the length of the field?
Answer:Length: 27m
Step-by-step explanation:
the formula of area of rectangle is : width*lengthso we just replace the values in the formula162=6*LengthLength=162/6Length=27mThe length of the rectangular field is 27 m.
Area of rectangleThe area of a rectangle is the product of length and width.
[tex]\rm{ Area\ of\ rectangle = Length \times width[/tex]
Given to usA rectangular field has an area of 162 m²The width of the field is 6 m.Length of the rectangular fieldAs given to us the shape of the field is rectangular, also, the width of the field is 6 m. therefore,
[tex]\rm{Area\ of\ rectangular\ field= Length \times width[/tex]
[tex]162\ m^2 = Length \times 6\ m\\\\\dfrac{162\ m^2}{6\ m} =Length\\\\ Length=\dfrac{162\ m^2}{6\ m}\\\\Length = 27\ m[/tex]
Hence, the length of the rectangular field is 27 m.
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what is reciprocal of 14
Answer:
1/14
Step-by-step explanation:
Since 14 is the same as 14/1, and since reciprocal is simply flipping the fraction, the answer is 1/14.
Answer: 1/14
Step-by-step explanation:
Turn 14 into a fractions = 14/1
Flip the fraction
1/14 <- that is the reciprocal
If two parallel lines are cut by a transversal, then would the same side interior angles ever be congruent?
Answer:
Step-by-step explanation:
Yes!
If the traversal is perpendicular to the parallel lines.
Based on the number line and the fact that XW = YZ, evaluate the statement “W must be at –3.”
Answer:
W over -3
Step-by-step explanation:
The W should be placed above the -3. The statement clearly states that W should be -3. Therefore just put a W over -3
Solve (32-5)+(3*4-2)=
Hello.
Here is the step-by-step
(32-5) + (3*4-2) ---> 27 + (3*4-2)
27 + (3*4-2) ---> 27 + (12-2)
27 + (12-2) ---> 27 + 10
27 + 10 ---> 37
You have to work inside the parenthesis, left to right, then solve.
The result of (32 - 5) + (3 * 4 - 2) is 37.
Begin by solving the operations inside each set of parentheses separately.
For the first parentheses:
32 - 5 = 27
For the second parentheses, calculate the multiplication first before the subtraction:
3 * 4 = 12
Then subtract 2:
12 - 2 = 10
Combine the results: Add the results of the two parentheses together:
27 + 10
Perform the addition:
27 + 10 = 37
Darren bought some paint. He used 2 1/4 gallons painting his living room. After that, he had 3 5/6 gallons left. How much paint did he buy?
Answer:
Step-by-step explanation:
Let's pretend this was just whole numbers. So used 2 gallons and had 3 left. Hopefully it's clear you'd have started with 5. It's basically an algebra equation. If we say x is the starting amount then
x-2 = 3
x = 5. Let me know if that doesn't make sense. Now though we can plug in the actual values.
x - 2 1/4 = 3 5/6
x = 2 1/4 + 3 5/6
x = 5 1/4 + 5/6
Now, to add fractions you need to change the denominator. You need to know you can change fractions by multiplying the numerator and denominator by a number. so 1/2 can be 2/4 because 1*2 = 2 and 2*2 = 4. So on you can make it 3/6, 4/8 and on and on and on. This is what we want to use.
We have 1/4 and 5/6. Well, you could try increasing both one by one until you get the same denominator, but a way to do it in one step is to multiply one by the other's denominator. so 1/4 = (1*6)/(4*6) = 6/24 and similarly 5/6 = (5*4)/(6*4) = 20/24. So now we are adding 6/24 + 20/24 = 26/24 or 1 2/24 = 1 1/12. ANyway, now you are adding
5 1/4 + 5/6 = 5 + 1 1/12 = 6 1/12. There is a different way to add fractions, but it's a little more involved and this way always works so that's what I use.
Answer: [tex]6\frac{1}{12}\ gallons[/tex]
Step-by-step explanation:
We can make the conversion from mixed numbers to improper fractions:
Multiply the whole number part by the denominator of the fraction.Add the numerator of the fraction and the product obtained (This sum will be the new numerator).The denominator is the same.Then:
[tex]2\frac{1}{4}=\frac{(2*4)+1}{4}=\frac{9}{4}\\\\3\frac{5}{6}=\frac{(6*3)+5}{6}=\frac{23}{6}[/tex]
We need to add the fractions in order to calculate the amount of paint Darren bought. Since the denominators are differente, we must find the Least Common Denominator (LCD):
[tex]4=2*2=2^2\\\\6=2*3\\\\\\LCD=2^2*3=12[/tex]
Then:
[tex]\frac{9}{4}+\frac{23}{6}=\frac{27+46}{12}=\frac{73}{12}\ gallons[/tex]
To convert this improper fraction to a mixed number:
When you divide 73 by 12 you get a quotient of 6. This will be the whole number.The remainder obtained is 1. This will be the numerator of the fraction. The denominator does not change.Then:
[tex]\frac{73}{12}\ gallons=6\frac{1}{12}\ gallons[/tex]
Pete rides his motorcycle with a constant speed of 96 km/h. How far can he travel in 15 minutes?
Answer:
Step-by-step explanation:
Write 24% as a fraction and as a decimal.
Answer:
Fraction: 24/100
Decimal: 0.24
Hope this helps!
If the arc on a particular circle has an arc length of 3 feet, and the angle
measure of the
Is 60°, what is the circumference of the circle?
OA 3 feet
B. 18 feet
C. 60 feet
D.72 feet
Answer:
B. 18 feet
Step-by-step explanation:
a circle has 360 degrees
so circumference = (360 / 60) * 3 = 6*3 = 18 feet
Answer:
B
Step-by-step explanation:
multiply 60 by three you should get 180 an arch is half of a circle a circle is 360 so cut that in half
14.51 less than the product of 26 and x
Answer:
26 x -15.51
Step-by-step explanation:
the median player salary for a professional football team was $420,100 in 2000 and $1,305,528 in 2008. write a linear equation giving the median salary y in terms of the year x. (let x=0 represent 2000.)
Answer:
[tex]y=110678.5x+420100[/tex]
Step-by-step explanation:
Given in the question that in ;
Year(x) salary y ($)
2000 420,100
2008 1305528
And x=0 in 2000, then in 2008, x=8 so you can form a table for values of x and y as
x y
0 420,100
8 1305528
To come up with a linear equation, you need to find the slope,m
m=change in y values/change is x values
m=(1305528-420100)÷ (8-0)
m=885428/8 =110678.5
To find the equation
Δy values ÷ Δx values =m
Δy values=y-420,100
Δx values= x-0
m=110,678.5
[tex]\frac{y-420100}{x-0} =110678.5\\\\\\y-420100=110678.5(x)\\\\\\\\y=110678.5x+420100[/tex]
Can someone help out?
Answer: x is less than or equal to 35.
Step-by-step explanation: