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Sholpan [36]
3 years ago
9

An astronaut who weighs 174 lb on Earth weighs 29 lb on the moon. Which of the following are correct amounts for weight on Earth

compared to weight on the moon?
A.102 lb and 17 lb

B.66 lb and 12 lb

C.170 lb and 34 lb

D.105 lb and 15 lb
Mathematics
2 answers:
Korolek [52]3 years ago
5 0

174/29 = 6 times the difference

17*6 = 102


12*6= 72

34*6 =204

15*6 = 90


so the answer is A

timofeeve [1]3 years ago
3 0

The answer  to this question is A

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A) The constant of proportionality in this proportional relationship is k = \frac{y}{x}

B) The equation to represent this proportional relationship is y = 0.2x

<h3><u>Solution:</u></h3>

Given that,

The amount Naomi pays each month for international text messages is proportional to the number of international texts she sends that month

Therefore,

This is a direct variation proportion

\text{ amount Naomi pays each month } \propto \text{ number of international texts she sends that month}

Let "y" be the amount that Naomi pays each month

Let "x" be the number of international texts she sends that month

Therefore,

y \propto x

y = kx -------- eqn 1

Where, "k" is the constant of proportionality

Thus the constant of proportionality in this proportional relationship is:

k = \frac{y}{x}

<em><u>Last month, she paid $3.20 for 16 international texts</u></em>

Therefore,

y = 3.20

x = 16

Thus from eqn 1,

3.20 = k \times 16\\\\k = \frac{3.20}{16}\\\\k = 0.2

Substitute k = 0.2 in eqn 1

y = 0.2x

The equation would then be y = 0.2x

8 0
3 years ago
The sum of A and B is 171 and their difference is 35. What are the numbers?
antoniya [11.8K]

Answer:

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Step-by-step explanation:

since the difference has to be 35 subtract 35 from 171 (equals 136) then divide it by 2, you get 68 which is your first number, then add 35 back and get 103 for the second number, I hope this helped

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Answer:

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Step-by-step explanation:

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