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emmainna [20.7K]
3 years ago
9

Weight varies directly with gravity. If Buzz Aldrin weighted 360 pounds on earth but only 60 pounds on the moon, what is the wei

ght of a person who weighted 54 pounds on the moon.
Mathematics
1 answer:
madam [21]3 years ago
8 0

Answer:

9 pounds weight on moon

Step-by-step explanation:

Given

Variation: Direct

<u>Buzz Adrin</u>

Earth = 360 pounds

Moon = 60 pounds

Required

Determine the weight of 54 pounds

The given parameters can be summarized as:

360 pounds Earth = 60 pounds Moon

54 pounds Earth = x pounds Moon

To solve for x, we start by using cross multiplication:

360 * x = 60 * 54

360 * x = 3240

Divide through by 360

x = \frac{3240}{360}

x = 9

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Recipe ingredients remain in a constant ratio no matter how many servings are prepared. Which table shows a possible ratio table
Phantasy [73]

A table which shows a possible ratio table for ingredients X and Y for the given number of servings is table 4.

<h3>What is a proportion?</h3>

A proportion can be defined as an equation which is typically used to represent (indicate) the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.

Mathematically, a direct proportion can be represented the following equation:

y = kx

<u>Where:</u>

  • y and x are the variables.
  • k represents the constant of proportionality.

Since the recipe ingredients remain in a constant ratio, we have:

k = y/x

For table 1, we have:

k = 2/1 = 2.

k = 3/2 = 1.5.

k = 4/3.

For table 2, we have:

k = 2/1 = 2.

k = 4/2 = 2.

k = 8/3.

For table 3, we have:

k = 2/1 = 2.

k = 3/2 = 1.5.

k = 5/3.

For table 4, we have:

k = 2/1 = 2.

k = 4/2 = 2.

k = 6/3 = 2.

In conclusion, a table which shows a possible ratio table for ingredients X and Y for the given number of servings is table 4 as shown in the image attached below.

Read more on proportionality here: brainly.com/question/12866878

#SPJ1

3 0
1 year ago
mary purchased 3 1/2 pounds of bananas. If the loaf of banana bread requires 3/4 pounds of bananas, how many loaves of banana br
nikklg [1K]
For this one a simple way that you can think of it is that 1 pound of banana is equivalent to 100, 3/4 pounds of banana is 75, 1/2 pounds of banana is 50, etc. 

3 1/2 pounds of banana = 350 

3/4 pounds of banana = 75 

If i want to find out how many loafs of banana bread I can make if ONE loaf requires 3/4 pounds of banana, and i have 3 1/2 pounds of banana then I divide:

350 / 75 = 4.66 

So, with 3 1/2 pounds of bananas you can successfully create 4 loafs of banana bread. the remaining .66 is not enough banana to make another loaf. 
8 0
3 years ago
Read 2 more answers
What are the solutions to the system of equations?
bogdanovich [222]

Answer:

(0, - 3 ) and (- 1, - 5 )

Step-by-step explanation:

Given the 2 equations

y = 4x² + 6x - 3 → (1)

y = 2x - 3 → (2)

Substitute y = 4x² + 6x - 3 into (2)

4x² + 6x - 3 = 2x - 3 ( subtract 2x - 3 from both sides )

4x² + 4x = 0 ← factor out 4x from each term

4x(x + 1) = 0

Equate each factor to zero and solve for x

4x = 0 ⇒ x = 0

x + 1 = 0 ⇒ x = - 1

Substitute these values into (2) for corresponding values of y

x = 0 : y = 2(0) - 3 = 0 - 3 = - 3 ⇒ (0, - 3 )

x = - 1 : y = 2(- 1) - 3 = - 2 - 3 = - 5 ⇒ (- 1, - 5 )

5 0
3 years ago
The student council sells cookies every 9 days and ice cream every 12 days. If both are being sold today, how many days will it
blondinia [14]
Cookies : 9, 18, 27, 36,
Ice cream: 12, 24, 36

So in 36 days.
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3 years ago
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Which degree of rotation is equivalent to a 90 degree clockwise rotation?
vodomira [7]
The answer will be A....
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