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olga2289 [7]
3 years ago
12

An astronaut visited mars. his weight on earth was 180 pounds, and his weight on mars was only 72 pounds. he removed a rock with

a weight of 16 pounds on mars. what is the weight of the rock on earth?
Mathematics
2 answers:
Anton [14]3 years ago
3 0
The question given above may be answered through the concept of ratio and proportion. The ratio of the man's weight on Earth and Mars should be equal to the ratio of the rock's weight on Earth and Mars. By letting x be the rock's mas on Earth, the equation that would best represent the situation is,
                          180 / 72 = x / 16
The value of x is equal to 40. Thus, the rock weighs 40 pounds on Earth. 
pogonyaev3 years ago
3 0
So here is how we are going to get the answer. Given that the astronauts weight is 180 pounds on earth and 72 pounds in mars, we can put it like this: 180:72. If a rock is 16 pounds on mars, we are going to find the weight of the rock on earth by cross multiplication. So, 180 : 72 is to ? : 16. So the answer would be 40. The answer therefore would be 40 pounds. Hope this helps.
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Write the standard form of the equation of the circle with the given characteristics. Center: (3, 5); Solution point: (−2, 17)
Angelina_Jolie [31]

\text{we know that the general equation of the circle is }\\
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(x-h)^2+(y-k)^2=r^2\\
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\text{where, (h,k) is the center of the circle and r is the radius.}\\
\\
\text{Given that the centered of the circle is at  }(h,k)=(3,5)\\
\text{and a solution point on circle is (-2,17).}\\
\\
\text{so the radius of the circle will be the distance between center and the }

\text{solution point. so using the distance formula, we have}\\
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\text{Radius, }r=\sqrt{(-2-3)^2+(17-5)^2}\\
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\Rightarrow r=\sqrt{25+144}\\
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\Rightarrow r=\sqrt{169}\\
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\Rightarrow r=13\\
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\text{Hence using the standard for of circle, equation of circle with center}\\
(h,k)=(3,5) \text{ and radius r=13 is}\\
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(x-3)^2+(y-5)^2=(13)^2\\
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\Rightarrow (x-3)^2+(y-5)^2=169

3 0
3 years ago
The linear relationship represented by the table has an initial value of 88 and a rate of change -6. Complete the table.
Nimfa-mama [501]
(2,88)
(6,64)
(9,46)
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first find y=mx+b
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8 0
3 years ago
What is the solution to the system of equations?
sukhopar [10]

Answer:

(x, y) = (-3, -6)

Step-by-step explanation:

The second equation can be used to write an expression for y:

... -5x -21 = y . . . . . . . add y-21 to both sides

This expression can be substituted for y in the first equation:

... 6 = -4x +(-5x -21)

... 27 = -9x . . . . . add 21, collect terms

... -3 = x . . . . . . . divide by -9

Using this value of x in the expression for y, we find ...

... -5(-3) -21 = y = -6

The solution is x = -3, y = -6.

8 0
3 years ago
What are the solution(s) to the quadratic equation x² - 25 = 0?
gtnhenbr [62]

Answer:

x = ±5

Step-by-step explanation:

x² - 25 = 0

x² = 25

√x² = √25

x = ±5

Check:

5² - 25 = 0

-5² - 25 = 0

25 - 25 = 0

4 0
1 year ago
Calculate the mean, median, and range of the data in the dot plot.
Mama L [17]

Answer:

median = 5

range = 2

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Step-by-step explanation:

7 0
3 years ago
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