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Natali5045456 [20]
3 years ago
12

A person who weighs 200 pounds on Earth would weigh about 32 pounds on the moon. Find the weight of a person on Earth who would

weigh 15 pounds of the moon
Mathematics
1 answer:
Andrei [34K]3 years ago
3 0

Answer:

93.75 pounds

Step-by-step explanation:

Set up a proportion where x is the weight of a person on Earth:

\frac{200}{32} = \frac{x}{15}

Cross multiply and solve for x

32x = 3000

x = 93.75

So, the person would weigh 93.75 pounds on Earth

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At a restaurant, three salads, two sandwiches, and one drink cost $17.75. One salad, one sandwich, and three drinks cost $10.75.
Leno4ka [110]

Answer:

A salad costs $2.50

A sandwich costs $4.50

A drink costs $1.25

Step-by-step explanation:

Let x represent the salad, y represent the sandwich, and z represent the drink.

Since three salads, two sandwiches, and one drink cost $17.75:

3x + 2y + z = 17.75  (1)

Since one salad, one sandwich, and three drinks cost $10.75:

x + y + 3z = 10.75  (2)

Since a salad costs twice as much as a drink:

x = 2z  (3)

Multiply the equation 2 by -2 then, sum the equation 1 and equation 2:

-2x - 2y - 6z = -21.50

3x + 2y + z = 17.75

→ x - 5z = -3.75

Replace the x with 2z using equation 3:

2z - 5z = -3.75

-3z = -3.75

z = 1.25

x = 2z → x = 2.50

x + y + 3z = 10.75 → 2.50 + y + 3.75 = 10.75 → y + 6.25 = 10.75 → y = 4.50

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Write the equation of the line
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Answer:

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Step-by-step explanation:

Slope intercept form is

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