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2 years ago

QUESTION 9.1 POINT

Mathematics

1 answer:

Rainbow [258]2 years ago

5 0

Answer:

120 different color combinations are possible.

Step-by-step explanation:

The order in which the color are chosen is not important(blue, green and red is the same outcome as red, blue, green), which means that the combinations formula is used to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

In this question:

3 colors from a set of 10, so:

$C_{10,3} = \frac{10!}{3!7!} = 120$

120 different color combinations are possible.

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Allisa [31]

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2 years ago

Taylor runs everyday in June except Sunday’s. He wants to run 21 miles this week and he plans to run the same number of miles ea

SVETLANKA909090 [29]

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2 years ago

A chemistry teacher needs to mix a 20% salt solution with an 80% salt solution to make 20 qt of a 40% salt solution. How many qu

Svetlanka [38]

Answer:

6 2/3 qt 80%
13 1/3 qt 20%

Step-by-step explanation:

It is often convenient to solve a mixture problem by letting a variable represent the quantity of the higher-concentration contributor to the mix.

We can let x represent the number of quarts of 80% solution needed. Then (20-x) is the number of quarts of 20% solution needed. The amount of salt in the final mix is ...

0.80x +0.20(20-x) = 0.40(20)

0.60x = 0.20(20) . . . . . . . . subtract 0.20(20) and simplify

x = 20/3 = 6 2/3 . . . . . . . . . divide by 0.60; quarts of 80% solution

(20 -x) = 13 1/3 . . . . . . . . . . amount of 20% solution needed

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3 0

2 years ago

Solve: 12x^2+5x-4=12^2x+6

Orlov [11]

Subtract the 12x^2 first.
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Then divide the 5 from both sides
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4 0

3 years ago

Evaluate. 2⋅((42)−1)

Nana76 [90]

Answer:

Hi there!

Your answer is:

Question was unclear! See below for answer possibilities!

Step-by-step explanation:

IF "-1" MEANS MULTIPLY BY NEGATIVE 1

2((42) -1 ))

2(-42)

IF "-1" MEANS SUBTRACT 1

2((42)-1)

2(41)

Hope this helps

5 0

3 years ago