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kaheart [24]
2 years ago
14

Sara drives 96 miles on 3.2 gallons of gas. She uses this information to calculate how many miles per gallon she can drive. Usin

g this result, how many miles can Sara drive on 12.5 gallons of gas?
Mathematics
1 answer:
Eddi Din [679]2 years ago
8 0
1st to get the mpg we need to divide 96/3.2 = 30 mpg

now that we know it's 30 mpg we multiply by the gallons of gas

30 * 12.5 = 375 miles
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We are given eqaution: e=\frac{17}{20}d , where e the amount of euros and d is the value as U.S. Dollars.

We need to find number of euros for 1 U.S. Dollar.

Plugging d=1 in the given equation

We get

e=\frac{17}{20}(1)

On simplfying , we get

e=\frac{17}{20}

Dividing 17 by 20, we get 0.85.

Therefore, there would be 0.85 euro have the same value as 1 U.S. Dollar.

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the answer is c

Step-by-step explanation:

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Aaron, Blaine, and Cruz are solving the equation 4 7 (7 − n) = −1. Aaron started his solution by multiplying both sides of the e
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Answer:

D. All three chose a valid first step toward solving the equation.

Step-by-step explanation:

Aaron, Blaine, and Cruz are solving the equation 4/7 (7 − n) = −1. Aaron started his solution by multiplying both sides of the equation by 7/4 . Blaine started by using the distributive property to multiply 4/7 by both 7 and −n. Cruz started by dividing both sides of the equation by 4/7 .

Which of the following is true?

A. Blaine and Cruz made an error in picking their first steps.

B. Cruz made an error in picking his first step.

C. All three made an error because the right side equals -1.

D. All three chose a valid first step toward solving the equation.

Given:

4/7(7 - n) = -1

Aaron:

4/7(7 - n) = -1

Multiple both sides by 7/4

4/7(7 - n) * 7/4 = -1 * 7/4

7 - n = -7/4

- n = -7/4 - 7

- n = (-7-28)/4

- n = -35/4

n = 35/4

Blaine:

4/7(7 - n) = -1

4/7(7 - n) × 7 = -1 × 7

4(7 - n) = -7

28 - 4n = -7

-4n = -7 - 28

- 4n = - 35

n = -35/-4

n = 35/4

Cruz:

4/7(7 - n) = -1

Divide both sides by 4/7

4/7(7 - n) ÷ 4/7 = -1 ÷ 4/7

4/7(7 - n) × 7/4 = -1 × 7/4

7 - n = -7/4

- n = (-7-28)/4

- n = -35/4

n = 35/4

D. All three chose a valid first step toward solving the equation.

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2 years ago
Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. x2
olga55 [171]

Answer:

x^2 + (y – 3)^2 = 36

Step-by-step explanation:

The standard equation of a circle with center at (h, k) and radius r is

(x - h)^2 + (y - k)^2 = r^2.

If the center lies on the y-axis, then h = 0:  (x - 0)^2 + (y - k)^2 = r^2

If the circle diameter is 12, then the circle radius is 6, and so r^2 = 36

So, among the given equations, your

x^2 + (y – 3)^2 = 36 is correct (but only if you use " ^ " for exponentiation).

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andreyandreev [35.5K]

Answer:

A bag of pop corn costs $8, and each Pretzel costs $4.25.

Step-by-step explanation:

Let b be the price of popcorn, and p the price of Pretzels. If the girl bought 2 bags of popcorn and 5 Pretzels and it cost her $37.25, we have the equation

2b+5p=37.25  <em>(this says that the cost of 2 popcorn bags plus 5 pretzels equals $37.25)</em> .

And, since Zoe bought 8 popcorn bags and 9 Pretzels with a total price of $102.25, we get the equation

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Thus, we have two equations

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2. 8b+9p=102.25

and we solve them by first multiplying equation (1) by 4:

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and then subtracting it from equation (2):

\:\:\:\:\: 8b+9p=102.25\\-(8b+20p=149)\\\line(1,0){3 cm}\\-11p=-46.75\\\\\boxed{p=\$4.25}

Now we put this value of p into equation (1) and get:

2b+5(4.25)=37.25

and we solve for b to get:

2b=37.25-21.5

\boxed{ b=8}

Therefore, a bag of popcorn costs $8, and each Pretzel costs $4.25.

8 0
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