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Mama L [17]
2 years ago
9

Ella and Iris are planning trips to nine countries this year. There are 12 countries they would like to visit. They are deciding

which countries to skip, how many ways are there?
Mathematics
1 answer:
NISA [10]2 years ago
5 0

Using the combination formula, it is found that there are 220 ways to decide which countries to skip.

The order in which the countries are skipped is not important, hence the <em>combination formula </em>is used to solve this question.

<h3>What is the combination formula?</h3>

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by:

C_{n,x} = \frac{n!}{x!(n-x)!}

In this problem, 3 countries are skipped from a set of 12, hence the number of ways is given by:

C_{12,3} = \frac{12!}{3!9!} = 220

More can be learned about the combination formula at brainly.com/question/25821700

#SPJ1

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Step-by-step explanation:

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Sheila bought 10 1⁄2 oz of almonds for $3.36. how much did the almonds cost per ounce?
Verdich [7]
Cost per ounce means you take the cost and divide it by the cost: 

<span>3.36 / (21/2) </span>

<span>division of fractions changes to the multiplication of the reciprocal: </span>

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4 0
3 years ago
If a number a is chosen at random from the set
Ivanshal [37]

Answer:

D. 3/19

Step-by-step explanation:

12/1 = 12

12/2 = 6

12/3 = 4

These are the only ones that make the equation true.

There are also only 19 numbers because they need to be less than 20 like the question indicated. Therefore, the answer is D.

5 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B4%7D%20-%20%20%5Cfrac%7B3%7D%7B8%7Dy%20%3D%203%20%5C%5C%20" id="TexFormula
MariettaO [177]

Answer:

(6, - 4 )

Step-by-step explanation:

Given the 2 equations

\frac{x}{4} - \frac{3}{8} y = 3 → (1)

\frac{5}{3} x - \frac{y}{2} = 12 → (2)

Multiply (1) by 8 and (2) by 6 to clear the fractions

2x - 3y = 24 → (3)

10x - 3y = 72 → (4)

Rearrange (3) expressing - 3y in terms of x by subtracting 2x from both sides

- 3y = 24 - 2x

Substitute 3y = 24 - 2x into (4)

10x + 24 - 2x = 72, that is

8x + 24 = 72 ( subtract 24 from both sides )

8x = 48 ( divide both sides by 8 )

x = 6

Substitute x = 6 in either (3) or (4) and solve for y

Substituting in (3)

2(6) - 3y = 24

12 - 3y = 24 ( subtract 12 from both sides )

- 3y = 12 ( divide both sides by - 3 )

y = - 4

Solution is (6, - 4 )

3 0
3 years ago
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