A number minus twenty four
Answer:
<em>Rajan must use </em><em>0.75</em><em> liters of 5% hydrochloric acid solution and </em><em>0.25</em><em> liters of 45% hydrochloric acid solution.</em>
Step-by-step explanation:
Let us assume that, x liters of the 5% hydrochloric acid and y liters of the 45% hydrochloric acid solutions are combined.
As Rajan need total of 1 liter of solution, so
i.e
--------------------1
As Rajan needs 5% hydrochloric acid and 45% hydrochloric acid to make a 1 liter batch of 15% hydrochloric acid, hence acid content of the mixture of two acids will be same as of the final one, so

i.e
-------------2
Putting value of x from equation 1 in equation 2,





Putting the value of y in equation 1,

Therefore, Rajan must use 0.75 liters of 5% hydrochloric acid solution and 0.25 liters of 45% hydrochloric acid solution.
Answer:
5x^2 +8x-4
Step-by-step explanation:
(5x - 2) * (x + 2)
We can FOIL
first: 5x*x = 5x^2
outer : 2*5x = 10x
inner: -2x
last : -2*2 = -4
Add these together
5x^2 +10x-2x-4
5x^2 +8x-4
You didn't supply any rules or constraints so.... 1 in., 1 in., and 1 in.
You can use the Pythagorean Theorem to check if the side lengths are appropriate.

–this is true.