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Aloiza [94]
3 years ago
15

How is finding the unit rate helpful before graphing a proportional relationship

Mathematics
1 answer:
Paul [167]3 years ago
4 0
One example, take the conversion fact that there are 5 miles for every 8 km.

Now if we want to work out how many kilometres in 6 miles, the conversion above is not going to help straight away.

We first need to find how many kilometres in ONE mile [which is the unit rate]

5 miles = 8 kilometres
1 mile = 8/5 kilometres
1 mile = 1.6 kilometres

Once we know the unit rate, we can then work out the number of kilometres for any number of miles.

For example:
6 miles = 6×1.6 = 9.6 kilometres
25.5 miles = 25.5 × 1.6 = 40.8 kilometres
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A sphere and a right cylinder have the same radius and volume. The cylinder has a height of 6 centimeters. What is the radius?
zysi [14]
You are going to solve this in such a quick, slick way
that you will blink and not believe it.  Fasten your seat belt.

Here are the tools you'll need:

--  Volume of a cylinder  =  (pi) (radius)² (height)

--  Volume of a sphere  =  (4/3) (pi) (radius)³

Now ... the question says that your cylinder and your sphere
have the same volume.  Fine !  So you can immediately write
an equation saying that their volumes are equal.

                               (pi) (radius)² (height)  =  (4/3) (pi) (radius)³

Divide each side by pi:    (radius)² (height)  =  (4/3)       (radius)³

Divide each side by (radius)²        (height)  =  (4/3)        (radius)

Fill in the given height:                  (6 cm)    =  (4/3)      (radius)

Multiply each side by  3/4 :    (6 cm) x (3/4)  =             radius

I'm pretty sure that you can take over now and find the radius.
4 0
3 years ago
What is the mistake loki made?
DerKrebs [107]
Answer:
Loki didn’t square a and b

Answer explained:
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5 0
3 years ago
James Priya and Siobhan work in a grocery store James makes 9.00!per hour Priya makes 40% more than James and Siobhan makes 15%
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<em />

5 0
3 years ago
A=1/2h(B+b); a=6,b=2, b=1<br><br> What is h
alexdok [17]
A=(1/2)(h)(B+b)
(6)=(1/2)(h)((2)+(1))
12=h(3)
h=4

Answer: h=4
3 0
3 years ago
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