Answer:
We combine x ounces of 100% juice
with 40-x of 10% juice
to get 40 ounces of 55% juice
x + 0.1(40-x) = .55(40)
x + 4 - 0.1x = 22
0.9x + 4 = 22
.09x = 18
x = 20 ounces of 100% juice
40-x = 20 ounces of 10% juice
We combine 20 ounces of each.
Step-by-step explanation:
Hi there! The answer is A.
(2x² + 3x - 10) - (x² - x + 111)
Let's solve this problem step by step!
First work out the parenthesis. Because we multiply by negative 1, we mustn't forget to change the symbols in front of the factors.
2x² + 3x - 10 - x² + x - 111
Now rearrange our expression, in order to collect the terms later.
2x² - x² + x + 3x - 10 - 111
And finally collect the terms.
x² + 4x -121
The answer is A.
~ Hope this helps you!
Answer:
Identity property of multiplication
Step-by-step explanation:
From step 5:

Here, to solve for x so that the variable x stands alone, Alberto uses the identity property of multiplication, which justifies what he has in step 6.
Step 6:

According to the identity property of multiplication, any value you multiply by 1 gives you that same value.
Therefore, 1x = 1 × x = x.
The variable x multiplied by 1 will give you x.