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r-ruslan [8.4K]
3 years ago
6

How many gallons of a 70​% antifreeze solution must be mixed with 60 gallons of 20​% antifreeze to get a mixture that is 60​% ​a

ntifreeze? Use the​ six-step method.
Mathematics
1 answer:
Flura [38]3 years ago
4 0

We have 60 gallons of 20% antifreeze.

How much 70% antifreeze do we add to get 60% antifreeze?

We'll make "x" the gallons of 70% we must add.

.20 * 60 + .70 x = .60 * (60 + x)

12 + .70x = 36 + .60x

.10x = 24

x = 240 gallons of 70% antifreeze.

Source

1728.com/mixture.htm (see example B)


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BigorU [14]

Answer:

(5,-4) and (-5,6)

Step-by-step explanation:

Given:

\left\{\begin{array}{l}x^2+x+y-26=0\\ \\x+y=1\end{array}\right.

Solve it. First, express y in terms of x from the second equation:

y=1-x

Substitute it into the first equation:

x^2+x+1-x-26=0\\ \\x^2-25=0\\ \\(x-5)(x+5)=0

Apply zero product property:

x-5=0\ \text{or}\ x+5=0

So,

x=5\ \text{or}\ x=-5

When x=5, then y=1-5=-4

When x=-5, then y=1-(-5)=6

We get two solutions: (5,-4) and (-5,6)

8 0
3 years ago
The Smith family went out to eat at Applebees. The total for their meal was $58.25. If they want to leave a 20%, how much tip sh
Len [333]

Answer:

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Step-by-step explanation:

20% of 58.25, "of" in math means multiplication. So you multiply it.

To get 20% as a fraction you move the decimal 2 places to the left, and it's .2 or .20 so you get this equation:

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So your answer is, $11.65.

To find the total of the bill including the tip it would just be

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3 years ago
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rusak2 [61]

Answer:

The distance between the astronomers and the moon was 7.56*10^{8] meters.

Step-by-step explanation:

We have that the speed is the distance divided by the time, so:

v = \frac{d}{t}

In this problem, we have that:

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We have that v = 3*10^{8}m/s.

We have to find d. So:

v = \frac{d}{t}

d = vt

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The distance between the astronomers and the moon was 7.56*10^{8] meters.

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What is the measurement of angle X
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