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sveta [45]
3 years ago
8

A vehicle uses 1 7/8 gallons of gasoline to travel 56 1/4 miles. At this rate, how many miles can the vehicle travel per gallon

of gasoline.
Mathematics
1 answer:
sweet [91]3 years ago
4 0

Answer:

  30 miles

Step-by-step explanation:

In this context, "per" means "divided by", so to find miles per gallon, divide miles by gallons:

  (56 1/4 mi)/(1 7/8 gal) = 30 mi/gal

The vehicle can travel 30 miles per gallon of gas.

_____

My calculator divides mixed numbers directly, as many graphing calculators do. If you're working this out by hand, you can convert to improper fractions, then multiply the numerator by the inverse of the denominator.

  (56 1/4)/(1 7/8) = (225/4)/(15/8)

  = (225/4)·(8/15) = (225/15)·(8/4)

  = 15·2 = 30

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Roulette is a casino game that involves players betting on where a ball will land on a spinning wheel. An American roulette whee
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Walter wants computer software that cost $129. He has $57 saved. If he saves a maximum of $15 a week, the following inequality c
Lina20 [59]

In this question, it is given that

Walter wants computer software that cost $129. He has $57 saved.

he saves a maximum of $15 a week, the following inequality can be used to find how many weeks it will take Walter to save enough money to buy the software.

15x+57 \geq  129

And we have to solve this inequality for x.

First we subtract 57 to both sides. And on doing so , we will get

15x\geq  72

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x \geq   4.8\

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8 0
3 years ago
What is the diameter of a hemisphere with a volume of 257 m^3
Alex73 [517]

Answer:

9.9

Step-by-step explanation:

\text{Volume of Hemisphere}\text{:}

Volume of Hemisphere:

\,\,257

257

\text{Volume of Sphere}\text{:}

Volume of Sphere:

\,\,514

514

Double volume of hemisphere to get volume of the entire sphere

\text{Volume of a Sphere:}

Volume of a Sphere:

V=\frac{4}{3}\pi r^3

V=

3

4

​

πr

3

514=

514=

\,\,\left(\frac{4}{3}\pi\right) r^3

(

3

4

​

π)r

3

514=

514=

\,\,(4.1887902)r^3

(4.1887902)r

3

Evaluate 4/3pi in calc

\frac{514}{4.1887902}=

4.1887902

514

​

=

\,\,\frac{(4.1887902)r^3}{4.1887902}

4.1887902

(4.1887902)r

3

​

Evaluate \frac{4}{3}\pi

3

4

​

π in calc

122.7084611=

122.7084611=

\,\,r^3

r

3

\sqrt[3]{122.7084611}=

3

 

122.7084611

​

=

\,\,\sqrt[3]{r^3}

3

 

r

3

​

Cube root both sides

4.9692575=

4.9692575=

\,\,r

r

\text{Then the diameter equals }9.938515

Then the diameter equals 9.938515

diameter is radius times 2

\text{Final Answer:}

Final Answer:

d\approx 9.9\text{ m}

d≈9.9 m

Round to nearest tenth

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3 years ago
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Answer:

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Step-by-step explanation:

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