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oee [108]
3 years ago
7

Which set of numbers is NOT in the solution set of the inequality x < 12?

Mathematics
1 answer:
pogonyaev3 years ago
8 0

Answer:

D) {1,9,10,15,17}

Step-by-step explanation:

1, 9, and 10 are smaller than 12, however, 15 and 17 are not, therefore this is NOT a solution set to the inequality.

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A square with sides of length 5 is positioned inside a square with sides of length 7. What is
kow [346]

Answer: 24cm²

Step-by-step explanation:

Let square with length 5cm be represented with A, and square with 7cm be represented with B.

Area of a square is L²

Square A will have an area of 5² = 25cm²

Square B will have an area of 7² = 49cm²

Total area between the two squares will be = Area of Square (B - A)

i.e.

Total Area = 49cm² - 25cm² = 24cm²

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3 years ago
What is 7(x + 3) please help meeeee PLEASE IM RUNNING OUT OF TIME
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Answer:

The answer is 7x+21

5 0
3 years ago
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Fred flips a coin, spins the spinner, and rolls a standard number cube. Find the probability that the coin will show tails, the
Inessa05 [86]

Answer:

The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three is \frac{4}{3}  

Step-by-step explanation:

Given : Fred flips a coin, spins the spinner, and rolls a standard number cube.

To find : The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three ?

Solution :

First we find probability one by one,

1) Flips a coin - Head, Tail

Total number of outcome = 2

Favorable outcome (getting a tail) = 1

Probability that the coin will show tails is P(T)=\frac{1}{2}

2) Spins the spinner - yellow, green, blue

Total number of outcome = 3

Favorable outcome (land on yellow or green) = 2

Probability that the spinner will land on yellow or green P(S)=\frac{2}{3}

3) Rolls a standard number cube - 1,2,3,4,5,6

Total number of outcome = 6

Favorable outcome (show a three) = 1

Probability that the cube will show a three P(C)=\frac{1}{6}

The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three is

P=P(T)+P(S)+P(C)

P=\frac{1}{2}+\frac{2}{3}+\frac{1}{6}

P=\frac{3+4+1}{6}

P=\frac{8}{6}

P=\frac{4}{3}

Therefore, The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three is \frac{4}{3}

5 0
3 years ago
Janet wants to plant a square flower garden in her yard. She has enough topsoil to cover an area of 30 square feet. How long can
gregori [183]
It can be at least 5.4 feet long since the area of a square is A=s^2. 5.4 times 5.4 is 30
6 0
3 years ago
Write an exponential equation that represents the given situation. You invest $1000 and it increases 12% each year. Can you teac
IrinaK [193]

Answer:

FV= 1,000*(1.12^n)

Step-by-step explanation:

Giving the following information:

Initial investment= $1,000

Increase rate= 12% = 0.12

We need to formulate an exponential equation to show the value in n years.

<u>To calculate the Future Value, we need to use the following formula:</u>

FV= PV*(1+i)^n

Being:

FV= Future Value

PV= Initial Investment

i= increase rate

n= number of periods

FV= 1,000*(1.12^n)

<u>For example, for one year:</u>

FV= 1,000*(1.12^1)

FV= $1,120

For 3 years:

FV= 1,000*(1.12^3)

FV= $1,404.93

8 0
2 years ago
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