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m_a_m_a [10]
4 years ago
12

Human beings have discovered an inhabitable planet and soon after, they find 10 more inhabitable planets. Of these 11, only 5 ar

e deemed ``Earth-like'' in its resources and the rest are deemed ``Mars-like'' since they lack many important resources. Assume that planets like Earth take up 2 units of colonization, while those like Mars take up only 1. If humanity mobilizes 12 total units of colonies, how many different combinations of planets can be occupied if the planets are all different from each other?
Mathematics
1 answer:
Tatiana [17]4 years ago
3 0

5 of the planets are earth like and 2 are mars like

5 * 2 = 10

<u>1 * 2 = 2</u>

Total 12

4 earth like and 4 mars like

Earth = 4*2 = 8

<u>Mars = 4 * 1 = 4</u>

Total 12

3 Like Earth 6 like mars

Earth 3 * 2 = 6

<u>Mars 6 * 1 = 6</u>

Total 12

Those answers are the only ones possible.

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bill has 2.4m of ribbon for crafts. He wants to share it evenly with 12 friends. How many centimeters of ribbon would 7 friends
Mila [183]

Answer:

2.4 * 7/13 = 1.292 m (if Bill get a piece of ribbon)

2.4 * 7/12 = 1.4 m (if Bill do not get a piece of ribbon)


5 0
3 years ago
If (angle)1 = 7x and (angle)4 = 3x + 20, what is the value of x?
Semenov [28]
The value of x is 5. Angle one and four are vertical. You can do this by writing 7x = 3x + 20. Isolate the variable by moving 3x to the other side. If you do this, 3x becomes negative, and you end up with 7x-3x = 20 --> 4x = 20.
x=5.
7 0
3 years ago
Read 2 more answers
Slope of -5 2). (3,9)
podryga [215]

Answer:

The slope of the given two points is m=\frac{7}{8}

Step-by-step explanation:

Given two points are (-5,2) and (3,9)

To find the slope with these two points

Let (x_{1},y_{1}) and (x_{2},y_{2}) be the given points

By using Slope Formula:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

m=\frac{9-2}{3-(-5)}

m=\frac{9-2}{3+5} ( subtracting and adding the corresponding terms)

m=\frac{7}{8}

Therefore slope is m=\frac{7}{8}

The slope of the given two points is m=\frac{7}{8}

3 0
3 years ago
Suppose you have two squares, one of which is larger than the other. Suppose further that the side of the larger square is twice
TEA [102]

Answer:

Area of smaller square: y^2 yards^2,

area of larger square: 4*y^2 yards^2.

Step-by-step explanation:

If the smaller square has a side which length is y yards, its area can be calculated as the square of its side, so:

Area of smaller square = y^2

If the larger square has a side which length is twice as long as the side of the smaller square, its side is equal to 2*y yards, so its area will be:

Area of larger square = (2*y)^2 = 4*y^2

So the area of the smaller square is y^2 yards^2, and the area of the larger square is 4*y^2 yards^2.

6 0
3 years ago
Need help with my geometry question please
Romashka [77]

Answer:

The correct answer is C 62°

4 0
3 years ago
Read 2 more answers
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