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barxatty [35]
3 years ago
13

What is the simplified form of the expression? 1/3(21m + 27)

Mathematics
1 answer:
Zanzabum3 years ago
3 0
1/3(21m + 27)

distribute 1/3

7m + 9

B
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The number of users of a cell tower in a small, developing town increased by a factor of 1.5 every year from 2010 to 2019. The f
polet [3.4K]

Answer:

B

Step-by-step explanation:

From the statement, we are given a function that shows the number of cell tower users f(x) after x years, from the year 2010 to 2019, so, to solve the problem, we need to remember that the domain is equal to all the values that the variable (x for this case) could take making the function itself exist.

So, the given function is a function of years, and we know that "x" represents the years from 2010 (starting value), to 2019 (ending value) meaning that the domain is located between those two values.

Hence, the correct option is:

B. 0 ≤ x ≤ 5,000

3 0
3 years ago
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What is the fraction 18/24 reduced to its lowest terms?
WINSTONCH [101]
<em>First, find the greatest common factor (GCF) of the numerator and denominator.</em>

<u>Factors of 18</u>: 1, 2, 3, 6, 9, 18
<u>Factors of 24</u>: 1, 2, 3, 4, 6, 8, 12, 24
<u>Common Factors</u>: 1, 2, 3, 6
<u>GCF</u>: 6

<em>Now, divide the numerator by 6 and the denominator by 6.</em>

18 ÷ 6 = 3
24 ÷ 6 = 4

<em>Set these as your new numerator and denominator.</em>

\frac{3}{4}

The answer is (b).

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3 years ago
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A carnival ride is in the shape of a wheel with a radius of 25 feet. The wheel has 20 cars attached to the center of the wheel.
Vladimir79 [104]

Centre angle will be 360° as its totally a circle.

  • radius=r=25ft

Angle between two cars=360/20=18°

  • Arc length=L

\\ \sf\longmapsto L=\dfrac{\theta}{360}(2\pi r)

\\ \sf\longmapsto L=\dfrac{18}{360}(2\pi(25))

\\ \sf\longmapsto L=\dfrac{1}{20}(50\pi)

\\ \sf\longmapsto L=2.5\pi ft

Now

Area be A

\\ \sf\longmapsto A=\dfrac{1}{2}Lr^2

\\ \sf\longmapsto A=\dfrac{1}{2}(2.5\pi)(25)^2

\\ \sf\longmapsto A=625(2.5)\pi\dfrac{1}{2}

\\ \sf\longmapsto A=1562.5\pi/2

\\ \sf\longmapsto A=781\pi ft^2=

4 0
3 years ago
5. The value of y varies directly with x, and
Kruka [31]

Answer: y= 3x

Step-by-step explanation:

1. The question lack info

8 0
3 years ago
what is the inverse of the conditional statement? If a polygon the has five angles, then it is a Pentagon
den301095 [7]

Answer:  The inverse f the given statement is

"If a polygon is not a Pentagon, then it does not have five sides".

Step-by-step explanation:  We are given to write the inverse of the following conditional statement:

"If a polygon the has five angles, then it is a Pentagon".

<u>INVERSE of a conditional statement :</u>

If the conditional statement is

"If p, then q",

then its inverse statement is given by

"If not q, then not p".

Therefore, the inverse of the given statement is

"If a polygon is not a Pentagon, then it does not have five sides".

9 0
3 years ago
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