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AVprozaik [17]
3 years ago
13

On Friday, there were 8 snowboarders for every 3 skiers at a local ski resort. On Saturday, the ratio of the number of snowboard

ers to the number of skiers was 4:7. There were 168 snowboarders at the ski resort on Friday. There were the same number of people at the ski resort on Saturday as there were on Friday.
How many more skiers were there than snowboarders at the ski resort on Saturday?
Mathematics
1 answer:
Maru [420]3 years ago
4 0

Answer:

I had 61.09090909 repeating as a answer, you can round it, but if you divide 168 by 11 because that is the total amount of people then that gives a decimal place and that doesn't make sense. But I may be right. So best of luck. If I get you wrong then I am truly sorry

Step-by-step explanation:

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A cone shaped paper water cup has a height of 12 cm and a radius of 6 cm. If the cup is filled with water to half its height, wh
monitta

Answer:

The portion of the volume of the cup that is filled with water is \frac{1}{8}

Step-by-step explanation:

step 1

Find the volume of the paper water cup

The volume of the cone is equal to

V=\frac{1}{3}\pi r^{2}h

we have

r=6\ cm

h=12\ cm

substitute

V=\frac{1}{3}\pi (6)^{2}(12)

V=144\pi\ cm^{3}

step 2

If the cup is filled with water to half its height, find out what portion of the volume of the cup is filled with water

Remember that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

In this problem the similar cone has half the height of the complete cone

so

The scale factor is equal to 1/2

therefore

The volume of the cup that is filled with water is equal to the volume of the complete cup by the scale factor elevated to the cube

V=(1/2)^{3}(144\pi)=(1/8)144\pi\ cm^{3}

therefore

The portion of the volume of the cup that is filled with water is

\frac{1}{8}

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