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3 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?

1 answer:

Tatiana [17]3 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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Last week, the price of cherries at the corner deli was $4.99 per pound. This week, cherries at the same deli are on sale at a 1

sergij07 [2.7K]

Answer:

The price for 3.75 pounds of cherries is $17.775.

Step-by-step explanation:

The price las week was $ 4.99 and it got a discount of 15% for this week, this means that the price for this week is 100% of the one prior minus 15%, therefore it is 85% of the last price. We need to calculate the price per pound with this discount as shown below:

$\text{this week} = \text{last week}*\frac{95}{100}\\\\\text{this week} = 4.99*0.95 = 4.74 \text{ per pound}\\$

Since the price is $4.74 per pound and we want to buy 3.75 pounds, then the total amount we need to pay is:

$\text{total amount} = 3.75*4.74 = 17.775$

The price for 3.75 pounds of cherries is $17.775.

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2 years ago

Jon has $45.00 .He plans to spends 4/5 of his moneyon sports equipment. how much will he spend

GalinKa [24]

He will spend $36.00 on sports equipment.

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3 years ago

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Blizzard [7]

Answer:

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2 years ago

Anita sees in her nutrition book that a 7.5-ounce piece of cake has 900 calories. how many calories will she save if she takes o

Marianna [84]

$\bf \begin{array}{ccll}
\stackrel{cake}{oz}&calories\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
7.5&900\\
2.5&x
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3 years ago

4/3y=48<br><br>solve for y<br><br>simplify answer as much as posible

Helga [31]

<h2>If you mean :</h2>

$\frac{4}{3y} = 48 \\$

Inverse both sides

$\frac{3y}{4} = \frac{1}{48} \\$

Multiply both sides by 4

$4 \times \frac{3y}{4} = 4 \times \frac{1}{48} \\$

$3y = \frac{4}{48} \\$

$3y = \frac{4 \times 1}{4 \times 12} \\$

$3y = \frac{1}{12} \\$

Divide both sides by 3

$3y \div 3 = \frac{1}{12} \div 3 \\$

$y = \frac{1}{12} \times \frac{1}{3} \\$

$y = \frac{1}{36} \\$

_____________________________________________

<h2>If u mean : </h2>

$\frac{4}{3} y = 48 \\$

Multiply both sides by the 3

$3 \times \frac{4}{3} y = 3 \times 48 \\$

$4y = 3 \times 48$

Divide both sides by 4

$4y \div 4 = 3 \times 48 \div 4$

$y = \frac{48 \times 3}{4} \\$

$y = \frac{4 \times 12 \times 3}{4 \times 1} \\$

$y = 12 \times 3$

$y = 36$

6 0

2 years ago