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MrRa [10]
4 years ago
6

Solution Y is 40 percent sugar by volume, and solution X is 20 percent sugar by volume. How many gallons of solution X must be a

dded to 150 gallons of solution Y to create a solution that is 25 percent sugar by volume?
A) 37.5
(B) 75
(C) 150
(D) 240
(E) 450
Mathematics
1 answer:
nadya68 [22]4 years ago
7 0

Answer:

   (E)  450

Step-by-step explanation:

Let x represent the number of gallons of solution X that must be added to the mix. Then the amount of sugar in the mix is ...

  0.20x +0.40·150 = 0.25(150 +x)

  0.20x +60 = 37.5 +0.25x . . . eliminate parentheses

  22.5 + 0.20x = 0.25x . . . . . . subtract 37.5

  22.5 = 0.05x . . . . . . . . . . . . . subtract 0.20x

  450 = x . . . . . . . . . . . . . . . . . . multiply by 20

450 gallons of solution X must be added to make a 25% sugar solution.

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For addition, drag tiles onto the board.
Ainat [17]

Answer:

-9

Step-by-step explanation:

The sum of -2 and -7 is given as follows;

-2 + (-7)

In mathematical operations, +  *  - is -.

So we have;

-2 - 7

This gives us: -9

3 0
3 years ago
Calculate the average rate of change of f(x) = x2 - 1 x - 4 for 2 ≤ x ≤ 6.
hoa [83]

Answer:

Hence, the average rate of change is:

\dfrac{97}{12}

Step-by-step explanation:

We are asked to calculate the average value of the function:

f(x)=x^2-\dfrac{1}{x}-4 in 2 ≤ x ≤ 6

The average rate of change of the function f(x) in the interval 2 ≤ x ≤ 6  is given as:

\dfrac{f(6)-f(2)}{6-2}\\\\=\dfrac{f(6)-f(2)}{4}

Now,

f(6)=36-\dfrac{1}{6}-4\\\\f(6)=32-\dfrac{1}{6}\\\\f(6)=\dfrac{191}{6}

f(2)=4-\dfrac{1}{2}-4\\\\\\f(2)=-\dfrac{1}{2}

Hence, the average rate of change is:

\dfrac{\dfrac{191}{6}-\dfrac{-1}{2}}{4}\\\\=\dfrac{194}{6\times 4}\\\\=\dfrac{97}{12}

Hence, the average rate of change is:

\dfrac{97}{12}

8 0
3 years ago
Read 2 more answers
Write an expression that can be used to find 4x275 using mental math and properties of numbers
insens350 [35]
(4 x 200) + (4 x 70) + (4 x 5)
3 0
3 years ago
A refund of $274 dollars is apparently the answer... please help!
Westkost [7]
Taxable income = 3854
they have been taking taxes out in the amount of 344 for 12 months.....344* 12 = 4128....so they took out too much....so there is a refund of 4128 - 3854 =
274 refund
6 0
3 years ago
Expanded form of 680,705
denis23 [38]

\huge\boxed{600,000 + 80,000 + 700 + 5}

To find expanded form, we need to split up the digits. When you do that, you take one digit and cut off everything to the left of it, then make everything to the right zeros.

600,000 + 80,000 + 0 + 700 + 0 + 5

We don't need to keep the zeros.

\boxed{600,000 + 80,000 + 700 + 5}

We can check this by adding the numbers back up to get 680,705.

680,000 + 700 + 5

680,700 + 5

680,705

6 0
4 years ago
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