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Fed [463]
3 years ago
8

Dave found that about 8/9 of the students in his class have a cell phone. What percent of the students in his class do not have

a cell phone? Write your answer as a percent and as a decimal. Show work.
Mathematics
2 answers:
Cerrena [4.2K]3 years ago
5 0
P = (1 - 8/9) * 100 % = 1/9 * 100 % = 100/9 % = 11 1/9 % = 11.11... %
Andrews [41]3 years ago
4 0
Need to have same denominator to subtract
1=9/9
9/9-8/9=1/9
as a decimal  1/9= .11111
as a % multiply by 100=11.11%
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1. An inflatable beach ball has a circumference of 141.3 centimeters. What is the volume of the beach ball when fully inflated?
Tema [17]

1) The volume of the beach ball when fully inflated is 47690 cubic centimeters.

2) The value of x is 3.

<u>Step-by-step explanation:</u>

It is given that, an inflatable beach ball has a circumference of 141.3 centimeters.

<u>1) To find the volume of the beach ball :</u>

Use the formula for volume of sphere to find the volume of beach ball when fully inflated.

Volume of sphere = (4/3)πr³

where, r is the radius of the sphere and π has the default value of 3.14.

<u>To find the radius :</u>

The given circumference is 141.3 = 2πr

⇒ r = 141.3 / 2π

⇒ r = 141.3 / (2×3.14)

⇒ r = 141.3 / 6.28

⇒ r = 22.5

Now, substituting r= 22.5 in the volume of sphere formula

Volume of sphere = (4/3) ×3.14× (22.5)³

⇒ 4/3 ×3.14 ×11391

⇒ (12.56×11391) / 3

⇒ 47690 cubic centimeters

The volume of the beach ball when fully inflated is 47690 cubic centimeters.

<u>2) The given equation is </u>4^{x} = 64<u></u>

⇒ 64 = 4×4×4

⇒ 64 = 4³

Therefore, the value of x is 3.

6 0
3 years ago
Simplify - 60(x^3-8)
harkovskaia [24]
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3 years ago
Tom determines the system of equations below has two solutions, one of which is located at the vertex of the parabola.
Rus_ich [418]

Answer:

b must equal 7 and a second solution to the system must be located at (2, 5).

Step-by-step explanation:

Rearranging the first equation:

y = (x - 3)^2 + 4

From this we see that the vertex is at the point (3,4).

So one solution of equation 2 is (3 ,4).

Substituting in equation 2:

4 = -3 + b

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So equation 2 is y = - x + 7.

Now we check if  (2, 5) is on this line:

5 = -2 + 7 = 5 , therefore  (2, 5) is on this line.

Verifying if (2, 5)  is also on y = (x - 3)^2 + 4:

5 = (2 - 3)^2 + 4 =  1 + 4 = 5

- so it is. and a second solution to the system is (2, 5).

5 0
2 years ago
If 4 coins are tossed simultaneously what is the probability of getting exactly 3 heads
Alexus [3.1K]
No of outcomes =16
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Is this correct? If not can you explain why?
krok68 [10]
BOTH of your answer ARE CORRECT!
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