3(2x+5)=3x=4x help i need this fast its for a test!

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

so

I)

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

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

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1 year ago

How many nonzero elements are in the matrix below?

Marizza181 [45]

Answer: CAN SOMEONE PLZZ ANSWER THIS QUESTION

Step-by-step explanation:

If the measure of angle 1 is (3 x minus 4) degrees and the measure of angle 2 is (4 x + 10) degrees, what is the measure of angle 2 in degrees? A horizontal line. A line extends from the line to form a 90 degree angle. Another line cuts through the 2 lines to form angles 1 and 2, which total 90 degrees.

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2 years ago

The value of the solid’s surface area is equal to the value of the solid’s volume. Find the value of x.

Schach [20]

well when looking at the shape we know that 4 m is at the side and 8 is on the other side. 8 would= x because its the same side as 8 on the bottom

so x=8

3 0

2 years ago

Solve each quadratic equation. Show your work.

Vesnalui [34]

2x-1*x+7
2x-1 and x+7 are reciprocals,

3 0

2 years ago

Stevan wants to build a fence around a square garden that is 506.25 ft squared. How many feet of fence will he need to complete

drek231 [11]

For side length s, the area of a square is given by

... A = s²

Then the side length can be found to be

... s = √A = √(506.25 ft²) = 22.5 ft

The perimeter is the sum of the lengths of the four equal sides.

... P = 4s = 4·(22.5 ft) = 90 ft

Stevan will need 90 ft of fence to complete the job.

5 0

3 years ago