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balandron [24]
3 years ago
6

Directions: Write the number stated in standard form.

Mathematics
1 answer:
Katena32 [7]3 years ago
6 0

5,000,000+600,000+4000+9=

5604000

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=-3a-4

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Doreen Schmidt is a chemist. She needs to prepare 32 ounces of a 13​% hydrochloric acid solution. Find the amount of 16​% soluti
klasskru [66]

Answer:

She should mix <u>20 ounces</u> of 16% solution and <u>12 ounces</u> of 8% solution.

Step-by-step explanation:

Given:

Doreen Schmidt needs to prepare 32 ounces of a 13​% hydrochloric acid solution.

Now, to find the amount she should mix of 16% solution and of 8% solution.

Let the 16% solution amount be x.

And let the 8% solution amount be y.

<em>So, the total ounces of solution:</em>

x+y=32

y=32-x .......(1)

Now, to solve the equation to get the solution she should mix:

16\%\ of\ (x)+8\%\ of\ (y)=13\%\ of\ (32)\\\\\frac{16}{100}\times x+\frac{8}{100}\times y=\frac{13}{100}\times 32

0.16x+0.08y=0.13\times 32

Substituting the value of y from equation (1) we get:

0.16x+0.08(32-x)=4.16

0.16x+2.56-0.08x=4.16

2.56+0.08x=4.16

Subtracting both sides by 2.56 we get:

0.08x=1.6

Dividing both sides by 0.08 we get:

x=20.

<em>The 16% solution amount = 20 ounces.</em>

Now, substituting the value of x in equation (1) we get:

y=32-x\\\\y=32-20\\\\y=12.

<em>The 8% solution amount = 12 ounces.</em>

Therefore, she should mix 20 ounces of 16% solution and 12 ounces of 8% solution.

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4 years ago
Which of the following points is a solution of y &gt; |x| + 5? <br> (0, 5)<br> (1, 7)<br> (7, 1)
solmaris [256]
<span> y > |x| + 5
when you graph that you get(picture below)
so one of the points would be (0,5)</span>

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