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

Answers

Answer 1

Answer:

93.75 pounds

Step-by-step explanation:

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

[tex]\frac{200}{32}[/tex] = [tex]\frac{x}{15}[/tex]

Cross multiply and solve for x

32x = 3000

x = 93.75

So, the person would weigh 93.75 pounds on Earth

Answer 2

On Earth, a person weighing 93.75 pounds would weigh around 15 pounds on the moon.

What is the proportion?

A mathematical assessment of two numbers is called a proportion. If two sets of provided numbers rise or fall in the same relation, then the ratios are said to be directly proportional to each other.

If a person who weighs 200 pounds on Earth would weigh about 32 pounds on the moon, we can set up the following proportion to find the weight of a person on Earth who would weigh 15 pounds on the moon:

200 pounds : 32 pounds = x pounds : 15 pounds

200 pounds / 32 pounds = x pounds / 15 pounds

⇒ 200/32 = x/15

Apply the Cross-multiplication operation, we get:

⇒ 200 × 15 = 32 × x

Solving for x, we get:

⇒ x = (200 × 15) / 32

⇒ x = 3000/32

Apply the division operation

⇒ x = 93.75 pounds

Therefore, a person who weighs 93.75 pounds on Earth would weigh about 15 pounds on the moon.

Learn more about the proportion here:

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Related Questions

I just need the answer pls

Answers

Answer:

(3.5, 5) is my answer

The contractor for a new school put a rectangular garden in the courtyard. The length of this garden is 5 feet longer than its width. If this area is 414 square feet, what is the length of the rectangle?

Answers

Answer:

23ft

Step-by-step explanation:

Area of the rectangle = LW

L is the length

W is the width

Given

Area = 414ft²

If the length of this garden is 5 feet longer than its width, then;

L = W+5

Substitute into the formula

414 = (W+5)W

414 = W²+5W

W²+5W-414 = 0

W = -5±√5²-4(-414)/2

W = -5±√25+1656/2

W = -5±√1681/2

W = -5+41/2

W = 36/2

W = 18ft

Since L = W+5

L = 18+5

L = 23ft

Hence the length of the rectangle is 23ft

PLS HELP I'LL MARK BRAINLEST

Answers

Answer:

x+74=135

x=135-74=61(exterior angle of a triangle is equal to the sum of two opposite interior angle)

What number is 2/5 more than 0.75?

Answers

Answer:1.15

Step-by-step explanation:

2/5 =.40

.75+.40=1.15

Answer:

1.05

Step-by-step explanation:

2/5 is equal to .4%.

We can then also interpret the equation as "What number is 1.4% more than .75?".

We need to only multiply 1.4 x .75, to which we will get 1.05.

What is 12 kg into grams

Answers

Answer: 12 kilograms= 12000 grams

Step-by-step explanation:

multiply the mass value by 1000

Answer:

1 Kg = 1000 grams

hence

12Kg = 12000 grams

2/5-1/4 simplified please help will make brainliest ​

Answers

Answer:

8/20-5/20

Step-by-step explanation:

Answer:

0.15

Step-by-step explanation:

0.4-0.25

0.15

What is the volume of the tent?

Answers

The answer is 192


Explanation

A desk drawer is shaped like a rectangular prism. The height of the drawer is 7 inches. The bottom of the drawer has an area of 210 square inches.

Answers

Answer:

We know the volume formula of rectangular prism is:

Volume = Length × Width × Height

We are given:

Volume = 1428 in³

Height = 6 in

Length = 17 in

Width = p

Apply the formula!

1428 = 6 × 17 × p

1428 = 102p

Divide by 102 on either side to isolate p

p = 14  

The width is 14 inches

Step-by-step explanation:

5,15,35,65 solve the rule and the next term

Answers

Answer:

105

Step-by-step explanation:

Given the sequence of numbers

5,15,35,65

First lets get the common difference

d1 = 15-5 = 10

d2 = 35 - 15 = 20

d3 = 65-35 = 30

We can see that the differences form an arithmetic sequence

10, 20, 30..

Let's get the next term fist

Tn = a + (n-1)d

T4 = 10+(4-1)(10)

T4 = 10 + 3(10)

T4 = 10+30

T4 = 40

This means that the next term of the original sequence will be gotten by adding 40 to the preceding value

Next term = 65 + 40

Next term = 105

Hence the next term is 105

Evaluate the following when a = 4 and b = 7 (a+b)^2 - (a^2 + b^2)

Answers

Answer:

56

Step-by-step explanation:

(4+7)²-(4²+7²)=121-65

                     =56

Answer:

56

Step-by-step explanation:

(4 + 7)² - (4² + 7²)  =  11² - (16 + 49)  =  121 - 65  =  56

Solve and check:
y = x + 4
y = 3x

Answers

Answer:

X=2

Step-by-step explanation:

3x = x + 4

3x - x = 4

2x = 4

x = 4/2

x = 2

Check:

3(2) = 2 + 4

6 = 6

please help me prove the identity​

Answers

Answer:

[tex]\frac{1-\tan x }{1+\cot x}[/tex]

Step-by-step explanation:

Let [tex]\frac{\sin 2x+\cos 2x-1}{\sin 2x+\cos 2x + 1}[/tex], we proceed to prove the given identity by trigonometric and algebraic means:

1) [tex]\frac{\sin 2x+\cos 2x-1}{\sin 2x+\cos 2x + 1}[/tex] Given

2) [tex]\frac{2\cdot \sin x \cdot \cos x +\cos ^{2}x - \sin^{2}x-1}{2\cdot \sin x \cdot \cos x +\cos ^{2}x - \sin^{2}x+1}[/tex] [tex]\sin 2x = 2\cdot \sin x \cdot \cos x[/tex]/[tex]\cos 2x = \cos^{2}x - \sin^{2}x[/tex]

3) [tex]\frac{2\cdot \sin x \cdot \cos x -\sin^{2}x-(1-\cos^{2}x)}{2\cdot \sin x\cdot \cos x +\cos^{2}x+(1-\sin^{2}x)}[/tex] Commutative, associative and distributive properties/[tex]-a = (-1)\cdot a[/tex]

4) [tex]\frac{2\cdot \sin x \cdot \cos x -2\cdot \sin^{2}x}{2\cdot \sin x \cdot \cos x +2\cdot \cos^{2}x}[/tex] [tex]\sin^{2}x + \cos^{2}x = 1[/tex]

5) [tex]\frac{(2\cdot \sin x)\cdot (\cos x-\sin x)}{(2\cdot \cos x)\cdot (\sin x +\cos x)}[/tex] Distributive and associative properties.

6) [tex]\frac{\sin x\cdot (\cos x-\sin x)}{\cos x\cdot (\sin x +\cos x)}[/tex] Existence of multiplicative inverse/Commutative and modulative properties.

7) [tex]\frac{\frac{\cos x -\sin x}{\cos x} }{\frac{\sin x + \cos x}{\sin x} }[/tex] [tex]\frac{\frac{x}{y} }{\frac{w}{z} } = \frac{x\cdot z}{y\cdot w}[/tex]

8) [tex]\frac{\frac{\cos x}{\cos x}-\frac{\sin x}{\cos x} }{\frac{\sin x}{\sin x}+\frac{\cos x}{\sin x} }[/tex] [tex]\frac{x+y}{w} = \frac{x}{w} + \frac{y}{w}[/tex]

9) [tex]\frac{1-\tan x }{1+\cot x}[/tex] Existence of multiplicative inverse/[tex]\tan x = \frac{\sin x}{\cos x}[/tex]/[tex]\cot x = \frac{\cos x}{\sin x}[/tex]/Result

What is the kinetic energy of a 14 kg mass moving with a velocity of 3 m/s? 1 point
63 J
69 J
66 J
60 J
A 35 kg mass is lifted to a height of 5 m What is the notential anera?*

Answers

The answer Your answer is 63J


Is the function increasing or decreasing over the interval (-3,-1)? Explain.

Answers

Answer: Decreasing

Explanation:

The curve is going downhill as you move from left to right, and as you move from x = -3 to x = -1.

The interval notation of (-3,-1) means -3 < x < -1.

Since the curve is going downhill on this region, this means the function is decreasing on this interval.

Yes, the function is decreasing over the interval (-3,-1).

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given interval is (-3, -1).

The curve is going downhill as you move from left to right, and as you move from x = -3 to x = -1.

The interval notation of (-3,-1) means -3 < x < -1.

Since the curve is going downhill on this region, this means the function is decreasing on this interval.

Yes, the function is decreasing over the interval (-3,-1).

To learn more about the function visit:

https://brainly.com/question/28303908.

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What kind of triangle is this?

Answers

Answer:

Obtuse

Step-by-step explanation:

Has one obtuse angle, i hope this helps you

Answer :
Obtuse
Explanation:

does this look right?

Answers

Answer:

What?

Step-by-step explanation:

what looks right?

Answer:

what ???¿???????

?????

Why do we use fractions to represent slope?

Answers

Answer:

The formula for slope is sometimes referred to as "rise over run", because the fraction onsists of the "rise" (being the change in y, going up or down) divided by the "run" (being the change in x, going from left to the right).

Step-by-step explanation:

Given m||n, find the value of x.
(2x-24)
(x+5)°

Answers

Answer in picture.
Hope this helps.

What is the approximate radius of a sphere with a volume of 1436 cm3?

A. 41 cm

B. 14 cm

c. 7 cm

D. 69 cm ​

Answers

Answer:

r≈7cm

Step-by-step explanation:

Using the formula

V=4

--------= πr^3

    3

r=(3V

-------------

4π)⅓=(3·1436

4·π)⅓≈6.99877cm

the answer is 7cm

Answer:

C. 7 cm

Step-by-step explanation:

Took the quiz. Trust

A.) 15.7in
B.) 31.4in
C.) 40in
D.) 62.8in

Answers

Answer:

31.4 in

Step-by-step explanation:

This is a tricky question,

if you observe the shape carefully, you will notice that if you mirror (flip outward) each curve surface of each quardrant, what you will end up with is a complete circle with a radius of 5 inches.

Hence the combined length of all the curved surfaces is simply the circumference of the circle, given by:

Circumference = 2πr

= 2 x 3.14 x 5

= 31.4 in

B: 31.4in



hope this helps lol

What is (528^5 x 2419^9)^6 - 328?


Also don’t answer unless your fine with getting hundreds of notifications.

Answers

Answer:

Exact Form:

(41036433850368 ^6  x  2419 ^54 )− 328

Decimal Form:

2.48516121  x  10 ^264

Answer:

Heyyy T-T

Step-by-step explanation:

-4x + 3y - x - 2y + y

Answers

Answer: -5x+2y

Step-by-step explanation: Have a brilliant day! - Lily ^_^

PLS HELP I'LL MARK BRAINLEST

Answers

Answer: C

Step-by-step explanation:

hope this helped

Answer:

D and E.

Step-by-step explanation:

Each angle is a different length and no sides can be the same length. If two angles are the same the triangle is considered an isosceles triangle. If all sides are the same it is an equilateral triangle.

x^4-25x^2+144 by x-4

Answers

Answer:

x^5-25x^3-4x+144/x

Step-by-step explanation:

x^4-25x^2+144 by x-4

Write the division as a fraction

x^4-25x^2+144/x -4

Write all numerators above the common denominator

x^5-25x^3+144-4x/x

Use the commutative property to reorder the terms

x^5-25x^3-4x+144/x

if you can give me brainliest thad be amazing! if not thats fine as well, hope this helps

the interior angles formed by the sides of a quadrilateral have measures that sum to 360 degrees. what is the value of x? enter your answer in the box
x =_____

Answers

Answer:

x = 59

Step-by-step explanation:

since the quadrilateral add up to 360 degrees,

X + X + (2x + 3 ) + (2x + 3) would equal 360 degrees

x + x + (2x + 3) + (2x + 3) = 360

6x + 6 = 360, addtion

6x = 354, subtraction

x = 59, division

Does the point (5, 8) satisfy the inequality 2x + y > 18?​

Answers

Answer:

The answer is...... NO

Step-by-step explanation:

Step 1: Plug in your values in the x and y cordinates.

2(5) + 8 > 18

Step 2: Solve

Then you multiply 2 and 5 and get 10.

SO then your equation should look like this:

10 + 8 > 18

The answer to the question is no because in order for this to work it would need to be the greater than or equal to sign, which looks like this ≥.

Hope this helps and have a great day! :)

What is 1/2x(4+6x3)-9?

Answers

Answer:

Answer is 2

Step-by-step explanation:

Answer:

1st do you do 6 × 3 to get 18 and then you add that by 4 because parentheses come 1st. You want to use Pemdas so you do 1/2 times 22 and then you want to subtract 9 from 22 to get 12.

The value of y varies directly with x. If x = 8 when y = 32, what is the value of x when
y = 112?
4
A B
14
с
28
D
448

Answers

the answer is (c) 28

explanation:
32/8=4
112/4=28

What is 20% of 800, if 10% of 800 is 80?

Answers

Answer:

160

I hope it is helpful to you

$49 to $149
A.2%; increase C.100%; increase B.67%; increase D.204%; increase

Answers

Answer:

D. 204% increase

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