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iogann1982 [59]
3 years ago
12

How many gallons each of 15% alcohol and 10% alcohol should be mixed to obtain 5 gal of 13% alcohol?

Mathematics
1 answer:
taurus [48]3 years ago
4 0

9514 1404 393

Answer:

  • 3 gallons 15%
  • 2 gallons 10%

Step-by-step explanation:

Let x represent the quantity of 15% alcohol required. Then (5-x) is the amount of 10% alcohol needed. The amount of alcohol in the mix is ...

  0.15x +0.10(5-x) = 0.13(5)

  0.05x +0.5 = 0.65 . . . . . . . simplify

  0.05x = 0.15 . . . . . . . . . subtract 0.5

  x = 3 . . . . . . . . . . . . . divide by 0.05

3 gallons of 15% alcohol and 2 gallons of 10% alcohol should be mixed.

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Solve −2x − 13 = 8x + 7. (1 point)<br><br><br> −2<br> 2<br> −6<br> 6
MrRa [10]
To solve for the value of x, it is easiest by isolating "x" to one side of the equation. This method is shown below:

-2x - 13 = 8x + 7

Adding 2x to both sides:

-2x - 13 + 2x = 8x + 7 + 2x
-13 = 10x +7

Subtracting 7 from both sides:

-13 - 7 = 10x + 7 - 7
10x = -20

Dividing both sides by 10:

10x / 10 = -20 / 10
x = -2
6 0
3 years ago
Read 2 more answers
jack pasler earns $30,940 annually as an accountant. He is married and supports 1 child. The state tax rate in his state is 4.5
Alenkasestr [34]

Hi there!

<em><u>FACTS</u></em><em> :</em>

<em>4.5% is equal to → 4.5/100, which is equal to → 4.5 ÷ 100 = 0.045</em>

<em>Also, the word "of" in "4.5% of $30,940" is the same thing as a multiplication sign. </em>

<u>STEPS TO ANSWER:</u>

4.5% of $30,940 = 0.045 of $30,940

0.045 of $30,940 = 0.045 × $30,940

0.045 × 30,940 = 1,392.3

$1,392.30 = Jack's amount witheld yearly for state tax income. → ANSWER


There you go! I really hope this helped, if there's anything just let me know! :)

7 0
3 years ago
251-92 is the same as _ - 100
nexus9112 [7]

Answer:

259

Step-by-step explanation:

You could set up an equation that looks like:

251-92=x-100

Then solve for x

1. subtract 92 from 251

159=x-100

2. add 100 to both sides

259=x

6 0
3 years ago
15 1/2 as an integer
juin [17]

Answer:

2?

Step-by-step explanation:

good luck hope it helps

7 0
3 years ago
Read 2 more answers
If R=5Z then 15Z=3Y, then R=? Show work please
Debora [2.8K]
If R = 5z
Then 15 z = 3R so there given 15z=3Y soo R= 5 Y
6 0
3 years ago
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