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Gemiola [76]
2 years ago
13

A family spends 20% of its monthly income on fuel. If they spend $324 a month on fuel, which is their monthly income?

Mathematics
2 answers:
zhuklara [117]2 years ago
6 0

Answer:

$1620

Step-by-step explanation:

The total amount of money * percent spent on fuel = amount spent on fuel

Substitute in what we know

Total amount of money * 20% = 324

Change to decimal form

Total amount of money *.20 = 324

Divide each side by .20

Total amount of money *.20/.20 = 324/.20

Total amount of money = 1620

nasty-shy [4]2 years ago
4 0

Your answer is $1620.

To solve this, first look at what we're given. $324 is spent a month on fuel, and fuel is 20% of their income. Therefore, $324 is 20% of the family's income per month.

Now, to solve this, we're looking for 100% of the family's income. 20% is 1/5 of 100%, so therefore $324 is 1/5 of the family's full income.

To get 100%, then multiply 20% by 5 to get 100%, and therefore multiply $324 by 5 to get the full income.

$324 * 5 = 1620, or your answer.

Good luck!

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lutik1710 [3]

Answer:  12 hours

Step-by-step explanation:

Given : Working together, it takes Sam, Jenna, and Francisco two hours to paint one room.

When Sam works alone, he can paint one room in 6 hours. When Jenna works alone, she can paint one room in 4 hours.

Let 't' be the time taken by Francisco to paint one room on his own.

Then , we have

Rate of work of  Sam +Rate of work of Jenna + Rate of work of  Francisco =Rate of work they all do together

\dfrac{1}{6}+\dfrac{1}{4}+\dfrac{1}{t}=\dfrac{1}{2}

i.e.  \dfrac{1}{t}=\dfrac{1}{2}-(\dfrac{1}{6}+\dfrac{1}{4})

i.e.  \dfrac{1}{t}=\dfrac{1}{2}-(\dfrac{4+6}{24})

i.e.  \dfrac{1}{t}=\dfrac{1}{2}-\dfrac{10}{24}

i.e.  \dfrac{1}{t}=\dfrac{1}{2}-\dfrac{5}{12}

i.e.  \dfrac{1}{t}=\dfrac{6-5}{12}

i.e.  \dfrac{1}{t}=\dfrac{1}{12}

i.e. t= 12

Hence,  Francisco would take 12 hours to  paint one room on his own.

8 0
3 years ago
A box measures 6 inches by 2 inches by 3 inches. Find the volume of the box in cubic feet. Enter your answer as a fraction.
jeyben [28]
The measurements are in inches but the answer needs to be in feet, so we'll convert the numbers to feet first.

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Find the height of a square pyramid that has a volume of 75 cubic feet and a base length of 5 feet.
kodGreya [7K]

Volume of the pyramid = (1/3) x Area of the base x Height ---------- (1)

As the base length = 5 feet

So Area of the base = 5 x 5 = 25 square feet

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<span>So 2nd option is correct.</span>

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