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ser-zykov [4K]
3 years ago
13

Graph the system of linear equations -1/2y=1/2x+5 and y=2x+2

Mathematics
1 answer:
raketka [301]3 years ago
7 0
I agree with the other answer however the first equation would need to be
Y=-1X-10
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It takes Jill 2 hours to run 14.5 miles. At this rate, how far could she run in 3 hours?​
Vanyuwa [196]

Answer:

21.75 miles

Step-by-step explanation:

2 hours=14.5 miles

3 hours=x

2x=14.5*3

x=\frac{14.5*3}{2}

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If a cylinder has a volume of 1004.8oz and is 60% full how many oz does it contain?
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if the value of x varies directly as the value of y , and x = 16 when y = 3/4 , what is the value of x when y = 3/8 ?
Olin [163]

Answer:

x=8

Step-by-step explanation:

If the value of x varies directly as the value of y we can say they are directly proportional. This implies that when y increases x will increase too, and when y decreases x will also decrease.

If x=16 when y=3/4 we can write their relation as:

x/y = 16/(3/4) = 16*(4/3) = 64/3

So, for every value of y, the ratio x/y must maintain equal to 64/3 because both values are proportional.

Now we can see what happens to x when y varies. If y=3/8:

x/(3/8) = 64/3

Multiply both sides by 3/8 to eliminate the 3/8 in the denominator.

x/(3/8) * (3/8) = (64/3) * (3/8)

See that we have a 3 multiplying and another dividing, we can eliminate them.

x = 64/8

x = 8

So, if y decreases to 3/8 x will decrease to 8. Notice that y is decreasing in a half as 3/8 is the half of 3/4, and x is also decreasing in a half from 16 to 8, what makes sense.

3 0
3 years ago
A construction crew has just built a new road. They built 156.25 kilometers of road at a rate of 5 kilometers per week. How many
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Answer:

31 and a quarter week (31.25)

Step-by-step explanation:

First find the rate. There is no need to do cross multiplication because it's already a unit rate (per 1 week).

2. Divide

156.25 / 5 = 31.25

3. Answer

31.25 weeks

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