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creativ13 [48]
3 years ago
15

The mean of three number is 15. if 2 of the numbers are 18 and 16 what is the third number​

Mathematics
1 answer:
MrMuchimi3 years ago
3 0

Answer:

11

Step-by-step explanation:

The mean is calculated as

mean = \frac{sum}{count}

let the third number be x , then

\frac{18+16+x}{3} = 15 ( multiply both sides by 3 to clear the fraction )

34 + x = 45 ( subtract 34 from both sides )

x = 11 ← third number

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Step-by-step explanation:

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7 0
3 years ago
You want to place a towel bar that is 10 1⁄4 inches long in the center of a door that is 26 1⁄3 inches wide. How far should you
Alenkinab [10]

Center of the door

26 1/3 divided by 2

change to an improper fraction

(3*26+1)/3 =79/3

79/3 divided by 2

copy dot flip

79/3 * 1/2

79/6

change to a mixed number

13 1/6

10 1/4 divided by 2

change to an improper fraction (4*10+1)/2 = 41/4

41/4 divided  by 2

copy dot flip

41/4 * 1/2 =41/8

change to a mixed number

5 1/8

the left of the bar should be 5 1/8 from the center

to find how far from the left side to place the bar

13 1/6 - 5 1/8 =

get a common denominator

13 4/24 - 5 3/24= 8 1/24 inches


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4 0
3 years ago
What is the range of the function f(x) = −(x + 3)2 + 7? all real numbers less than or equal to 7 all real numbers greater than o
ss7ja [257]
<span>all real numbers less than or equal to 7</span>
4 0
3 years ago
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Define a function f on a set of real numbers as follows: f(x) = 3x − 1 x , for each real number x ≠ 0 Prove that f is one-to-one
dalvyx [7]

Answer with Step-by-step explanation:

We are given that

f(x)=\frac{3x-1}{x}

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To prove that f is one -to-one.

Proof:Let x_1 and x_2 be any nonzero real numbers such that

f(x_1)=f(x_2)

By using the definition of f to rewrite the left hand side of this equation

f(x_1)=\frac{3x_1-1}{x_1}

Then, by using the definition of f to rewrite the right hand side of this equation  of f(x_1)=f(x_2)

f(x_2)=\frac{3x_2-1}{x_2}

Equating the expression then we get

\frac{3x_1-1}{x_1}=\frac{3x_2-1}{x_2}

3x_1x_2-x_2=3x_2x_1-x_1

3x_1x_2-3x_1x_2+x_1=x_2

x_1=x_2

Therefore, f is one-to-one.

6 0
3 years ago
Point B, located at (-5, -8), is rotated 360°. What are the coordinates of point B?
Natalka [10]
(-5,-8)
The coordinates are still the same because a rotation of 360° is a complete circle, therefore the points remain in the same spot.
4 0
3 years ago
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