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Use the table to write a proportion relating the weights on two planets. Then find the missing weight. Round to the nearest tenth.

Use the table to write a proportion relating the weights on two planets. Then find-example-1

2 Answers

5 votes

Answer:

a)

Venus: 81.9 pounds

b)

Earth: 144.7 pounds

c)

Uranus: 110.2 pounds

d)

Mercury: 48 pounds.

Explanation:

It is given that: when earth weighs 120 pounds.

Then

weight of : Mercury=45.6 pounds

Venus= 109.2 pounds

Uranus = 96 pounds

Jupiter= 304.8 pounds

a)

If Earth weighs= 90 pounds

when Earth weighs 120 pounds then weight of Venus= 109.2 pounds

If Earth weighs 1 pounds then weight of Venus= 109.2/120

i.e.

If Earth weighs 90 pounds then weight of Venus= (109.2/120)×90

i.e.

If Earth weighs 90 pounds then weight of Venus= 81.9 pounds

b)

Mercury: 55 pounds

When Mercury weighs 45.6 pounds then weight of Earth=120 pounds

Hence,

when Mercury weighs 1 pounds then weight of Earth=120/45.6 pounds.

when Mercury weighs 55 pounds then weight of Earth=(120/45.6)×55 pounds.

when Mercury weighs 55 pounds then weight of Earth=144.7 pounds.

c)

Jupiter: 350 pounds

When Jupiter weighs 304.8 pounds then weight of Uranus=96 pounds.

when Jupiter weighs 1 pounds then weight of Uranus=96/304.8 pounds.

when Jupiter weighs 350 pounds then weight of Uranus=(96/304.8)×350 pounds.

when Jupiter weighs 350 pounds then weight of Uranus=110.2 pounds.

d)

Venus: 115 pounds

When Venus weighs 109.2 pounds then weight of Mercury=45.6 pounds.

when Venus weighs 1 pounds then weight of Mercury=45.6/109.2 pounds.

when Venus weighs 115 pounds then weight of Mercury=(45.6/109.2)×115 pounds.

when Venus weighs 115 pounds then weight of Mercury=48 pounds.

User Arshu
by
5.1k points
3 votes

We use this formula:

Weight on the second planet =
(Weight on the first planer)/(Table weight on the first planet) × Table weight on the second planet

So,

Weight on Venus =
(90)/(120) × 109.2

= 3 x 27.3

= 81.9

Weight on earth =
(55)/(45.6) × 120

= 144.7

Weight on Uranus =
(350)/(304.8) × 96

= 110.2

Weight on Mercury =
(115)/(109.2) × 45.6

= 48

User Esterlinkof
by
5.3k points
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