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Luden [163]
2 years ago
9

If y varies directly with x, find the missing value below. (2, -34) and (x, 85)

Mathematics
1 answer:
DedPeter [7]2 years ago
8 0

Answer:

X= -5

Step-by-step explanation:

y varies directly with x,

so y=kx

-34=k×2

k= -17

85= -17× X

X= -5

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If a bike travels 5 miles in 20 minutes, how long does it take to travel 25 miles?
faust18 [17]

Answer:

100 minutes

Step-by-step explanation:

To solve this, we can make a proportion.

The bike travels 5 miles in 20 minutes, and 25 miles in x minutes

5/20=25/x

Cross multiply

5*x=20*25

5x=500

Divide both sides by 5. This will cancel out the 5, and leave x by itself.

5x/5=500/5

x=100

There are 60 minutes in 1 hour. If we subtract 60 from 100,

100-60=40

So, this is also equivalent to 1 hour and 40 minutes.

It takes 100 minutes, or 1 hour and 40 minutes, to travel 25 miles.

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3 years ago
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2 years ago
Circle O and triangle OQR are shown below. What is the length of OQ?
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Answer:

Step-by-step explanation:

A circle is inscribed in an equilateral triangle PQR with centre O. If angle OQR = 30°, what is the perimeter of the triangle?

This is a circle inscribed in an equilateral triangle with side s.

If you are asking for the perimeter of PQR, it is 3s.

If you are asking for the perimeter of OQR, it is (3+23–√3)s

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