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Julli [10]
3 years ago
13

An astronaut who weighs 85 kilograms on earth weighs 14.2 kilograms on the moon. How much would a person weigh on the moon if th

ey weigh 95 kilograms on Earth?
Mathematics
1 answer:
STatiana [176]3 years ago
4 0

Answer:

Weight on the moon=x=15.87 kilograms

Step-by-step explanation:

This can be expressed as;

Weight on earth=Constant×Weight on moon

where;

Weight on moon=14.2 kilograms

Constant=k

Weight on Earth=85 kilograms

Replacing in the expression above;

85=14.2×k

k=(85/14.2)=5.986

If the person weighs 95 kilograms on Earth;

Weight on the earth=Constant×Weight on moon

where;

Weight on the moon=x

Constant=5.986

Weight on the earth=95 kilograms

Replacing;

95=5.986×x

x=95/5.986=15.87

Weight on the moon=x=15.87 kilograms

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4 years ago
A rectangle has an area (x2-17x+72) square units.Since the area of a rectangle is determined using the formula, A= lw, what coul
hammer [34]
Geez this is a doozy

okay first factor the binomial using binomial theorem. you probably don't remember that (at least I didn't) so here it is.

{x}^{2}  - 17x + 72
you have to figure out what two numbers add to -17 and multiply together to make 72

so make a table of all the numbers that add to 17 then multiply them together and see of they make 72. since it's -17 we will need to use two negative numbers:

-1 * -16 = 16
-2 * -15 = 30
-3 * -14 = 42? idk
-4 * -13 = something, math is hard
keep going until...
-8 * -9 = 72

so it's -8 and -9 are the factors we want.
we wrote this as:

(x - 8)(x - 9)
seeing this equal as our area in the a=l*w formula gives:

(x - 8)(x - 9) = l \times w
Now, plug in a number greater than 9.
It has to be greater than 9 because anything less than that would give us a negative area. Let's use 10 because it's easy. It doesn't matter which number you use as long as it's greater than 10. The problem appears to say it just wants a possible length and width, not a specific answer.

(10 - 8)(10 - 9) = lw
2 = lw
so factors of 2.
length could be 1 and width could be 2 or vice versa.

you could also choose a different number than 10. let's try 20.

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3 0
4 years ago
Read 2 more answers
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lubasha [3.4K]

Answer:

27

Step-by-step explanation:

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6 0
3 years ago
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Viefleur [7K]

Answer: 7-4=3

Step-by-step explanation:

The smallest perfect cube will be 4 since 4^3 is 64. The larger perfect cube would be 7 since 7^3 is 343.

The next time you run into a problem like this it would be helpful to use your calculator to make guesstimates that will later lead you to your answer. Or, check a perfect cube chart! Best of wishes!!

3 0
3 years ago
Ethan has has 3/4 of a box of cereal. He gives 1/8 of the box to his little brother and Ethan eats 1/4 of the box, himself. What
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Answer:

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