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3 years ago

Which expression is equivalent to 25% of the product of 84 and x?

Mathematics

1 answer:

KengaRu [80]3 years ago

5 0

Answer: <u>21x</u>

Step-by-step explanation:

Change 25% to a decimal

0.25

Multiply 84 and x

84x

Multiply 84x by 0.25

21x

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2 years ago

Haleigh split 4/9 of a gallon of juice into 8 cups. How much juice was in each cup?

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▹ Answer

<em>1/18 of a gallon of juice in each cup.</em>

▹ Step-by-Step Explanation

Since we have 4/9 of a gallon of juice for 8 cups, we will divide to find the amount of juice in each cup.

$\frac{4}{9} / 8$

Since this operation is division, we have to change 8 to it's reciprocal which is 1/8:

$\frac{4}{9}/ \frac{1}{8} = \frac{4}{72} = \frac{1}{18}$

Our final answer will be 1/18 of a gallon of juice in each cup.

Hope this helps!

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3 years ago

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3 years ago

A boundary stripe 6 in. wide is painted around a rectangle whose dimensions are 120 ft by 230 ft. Use differentials to approxima

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Answer:

350 square feet

Step-by-step explanation:

We are given that

Width of strip=6 in

Dimension of rectangle= $20 ft\times 230 ft$

We know that

Area of rectangle ,A=xy

Differentiate

$dA=\frac{\partial A}{\partial x}x+\frac{\partial A}{\partial y}y$

We have $\frac{\partial A}{\partial x}=y=230 ft$

$\frac{\partial A}{\partial y}=x=120$

$dx=\frac{12}{12}=1 ft$

1 ft=12 in

Because 6 in added in both side of breadth

dy= $\frac{12}{12}=1 ft$

Because 6 in added on both sides of length of rectangle

Substitute the values

$dA=230\times 1+120\times 1=350 ft^2$

Hence, the number of square feet of paint in the strip=350 square feet

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3 years ago