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GaryK [48]
3 years ago
10

Which describes the lines y=7/8x + 12 and y=-8/7x+7

Mathematics
1 answer:
Tasya [4]3 years ago
3 0
They are perpendicular
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Rajan needs 1 liter of 15% hydrochloric acid solution for an experiment. He checks his storage cabinet, but he only has a 5-lite
yarga [219]

Answer:

<em>Rajan must use </em><em>0.75</em><em> liters of 5% hydrochloric acid solution and </em><em>0.25</em><em> liters of 45% hydrochloric acid solution.</em>

Step-by-step explanation:

Let us assume that, x liters of the 5% hydrochloric acid and y liters of the 45% hydrochloric acid solutions are combined.

As Rajan need total of 1 liter of solution, so

x+y=1

i.e x=1-y --------------------1

As Rajan needs 5% hydrochloric acid and 45% hydrochloric acid to make a 1 liter batch of 15% hydrochloric acid, hence acid content of the mixture of two acids will be same as of the final one, so

0.05x+0.45y=1\times 0.15

i.e 5x+45y=15 -------------2

Putting value of x from equation 1 in equation 2,

\Rightarrow 5(1-y)+45y=15

\Rightarrow 5-5y+45y=15

\Rightarrow 5+40y=15

\Rightarrow 40y=15-5=10

\Rightarrow y=0.25

Putting the value of y in equation 1,

x=1-0.25=0.75

Therefore, Rajan must use 0.75 liters of 5% hydrochloric acid solution and 0.25 liters of 45% hydrochloric acid solution.

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Julia wants to find out which color fabric will heat up the fastest when put under a direct light.
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Step-by-step explanation:

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Step-by-step explanation:

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x changes by -10 units (from -24 to -34)

y changes by -10 units (from 60 to 50).

the slope or rate of change is -10/-10 = 1/1 = 1

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Twelve hundred times three equals 3600 so in 3 years it will cost 3600
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