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:
3/4 cups → 1 batch
x cups → 2 batches
x = 2(3/4) = 6/4 = 1 1/2 cups
3/4 cups → 1 batch
y cups → 9 batches
y = 9(3/4) = 6 3/4 cups
Step-by-step explanation:
You can figure out the answer by doing this:
8% = 2300/x
and do the same for the second one
(and solve)
Answer:
$46,000
Step-by-step explanation:
We just need to subtract all the annual payments from the salary to figure out her disposable income (which is the income remaining after deduction of taxes and social security charges).
So here's what we get
$60,000 - $3,000 - $5,000 - $6,000 = $46,000
<em>P.S. Hope it makes sense. If you have any questions, feel free to share them in the comment senction below. I'll be happy to help. Have a wonderful day!</em>
Answer:
Step-by-step explanation:
6y = -3x - 3
y = -1/2x - 1/2
perp. 2
y + 5 = 2(x - 1)
y + 5 = 2x - 2
y = 2x - 7