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Vladimir79 [104]
3 years ago
8

The weight of an object on the moon varies directly with its weight on the earth. If an object weighing 95 lbs on the moon weigh

s 570 lb on the earth, how much douse an object weigh on the moon if it weighs 2700 lb on the earth?
Mathematics
1 answer:
Luda [366]3 years ago
8 0
ANSWER

450lb

EXPLANATION

If the weight, m of an object on the moon varies directly as the weight of an object e, on the earth, then we can write the mathematical statement,.
m \propto \: e
We introduce the constant of proportionality to obtain,

m = ke

When, m=95, e=570,

This implies that,

95 = 570k
k = \frac{95}{570}

k = \frac{1}{6}

The equation now becomes,

m = \frac{1}{6} e

We want to find e, when m=2700,

m = \frac{1}{6} \times 2700

m =450lb
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Given:

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y=x-4

To find:

The slope and y-intercept of the line.

Solution:

We have,

y=x-4          ...(i)

The slope intercept form of a line is

y=mx+b            ...(ii)

Where, m is the slope and b is the y-intercept.

On comparing (i) and (ii), we get

m=1,b=-4

Slope of the line = 1

y-intercept of the line = -4

The coordinate form of y-intercept is (0,b). So, the y-intercept of the given line is (0,-4).

Therefore, the slope of the line is 1 and the y-intercept is (0,-4).

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3 years ago
8k + 2m=3m +k solve for k
Veronika [31]

Answer: k= One- seventh of m.


Step-by-step explanation:

Given equation : 8k + 2m=3m +k ,where k and m are variables

To solve for k, Subtract 2m from both sides,we get

⇒8k+2m-2m=3m-2m+k

Simplify

⇒ 8k=m+k

Subtract k from both sides, we get

⇒ 8k-k=m+k-k

Simplify

⇒ 7k=m

Divide 7 from both the sides, we get

⇒ k=1/7m

⇒ k=one-seventh of m...........>here is the answer.



5 0
3 years ago
Read 2 more answers
In a class of 10, there are 2 students who forgot their lunch. If the teacher chooses 2 students, what is the probability that b
Anuta_ua [19.1K]

At the beginning, the chances that the teacher will choose a student who has forgotten his lunch are 2/10, or 1/5.

If the teacher now chooses another student from the remaining 9 students, the chances of his choosing a student who has forgotten his lunch are 1/9, since one of the forgetful students has already been removed from the original group of 10 students, and there are only 9 in the group remaining.

The probability that both students forgot lunch is (1/5)(1/9), or 1/45.

7 0
3 years ago
Math Question please help
garri49 [273]
The answer is the first one
3 0
4 years ago
Please help!!!!!!!!!!
vovikov84 [41]

Answer:

104 ft^2

Step-by-step explanation:

Before we start, one thing to notice is the 90 degrees symbol at the corners. This lets you know a rectangle has four 90 degrees angle, which will help in the next step.

First, separate the shape to become three rectangles.

After you've done that, start with the first recantgle on the left.

The edges are 8 and 5. To find the area, you must multiple 8 by 5.

8 * 5 =40

The area is 40 for the first rectangle.

Next, we do the second rectangle to the right of the first one.

oThe edges are 6 and 4. We know it is four because the full length on the rectangle on the left is 8 and below the 6 ft is the place that says 4 ft. The 6ft line cuts to rectangle in half so the other edge will be 4 ft. (Hope that made sense )

Now we find the area of the second rectangle by multiplying 6 and 4

6 *4 = 24

Now we conclude with the third rectangle. We know one edge which is 5 and the other edge will be 8 because, at the opposite end, it tells us the length is 8.

Now we multiply 8 and 5.

8 * 5 = 40.

Now, the three numbers we have found are 40, 24, and 40. Our final step is to add up these three numbers from the rectangles we made to find the area.

40 + 24 + 40 =  104

The area will be 104 ft^2

I hope this explanation helped and have a good day!

8 0
3 years ago
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