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3 years ago

80% of x is equal to 100. Write an equation that shows the relationship of 80%, x, and 100

Mathematics

1 answer:

wariber [46]3 years ago

4 0

Answer:

<u>The number is 125 and the equation is 0.8x = 100</u>

Step-by-step explanation:

80% of x is equal to 100.

Write an equation that shows the relationship of 80%, x, and 100

80% = 0.8

0.8x = 100

x = 100/0.8

x = 125

<u>The number is 125 and the equation is 0.8x = 100</u>

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3 years ago

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2 years ago

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3 years ago

A chemist wishes to mix a solution that is 6% acid. She has on hand 14 liters of a 4% acid solution and wishes to add some 10% a

jonny [76]

she should add 7 liters of 10% acid solution

Explanation

Step 1

set the equation:

a) let X represents the amount os solution that is 4% acid

let Y represents the amount os solution that is 10% acid

$\begin{gathered} \frac{4}{100}X+\frac{10}{100}Y=\frac{6}{100}(x+y) \\ \end{gathered}$

if he has 14 liters of 4% acid solution

$x=14$

$\begin{gathered} \frac{4}{100}X+\frac{10}{100}Y=\frac{6}{100}(X+Y) \\ \frac{4}{100}*14+\frac{10}{100}Y=\frac{6}{100}(X+Y) \\ 0.56+0.1Y=0.06(14+Y) \\ 0.56+0.1Y=0.84+0.06Y \\ \end{gathered}$

Step 2

solve the equation :

$\begin{gathered} 0.56+0.1Y=0.84+0.06Y \\ subtract\text{ 0.06Y in both sides} \\ 0.56+0.1Y-0.06Y=0.84+0.06Y-0.06Y \\ 0.56+0.04Y=0.84 \\ subtract\text{ 0.56 in both sides} \\ 0.56+0.04Y-0.56=0.84-0.56 \\ 0.04Y=0.28 \\ divide\text{ both sides by 0.04} \\ \frac{0.04Y}{0.04}=\frac{0.28}{0.04} \\ Y=7 \end{gathered}$

therefore,

she should add 7 liters of 10% acid solution

I hope this helps you

8 0

1 year ago

Solve for x in the equation C = 8.5x + 6y. Show all work.

8_murik_8 [283]

First we move 6y to the other side. To do this, you subtract 6y on both sides

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3 0

3 years ago

Read 2 more answers