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RSB [31]
2 years ago
10

Pls help -5n-8(1+7n)=-8

Mathematics
1 answer:
cricket20 [7]2 years ago
8 0
I don't understand this
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A spherical balloon has a 34-in. diameter when it is fully inflated. Half of the air is let out of the balloon. Assume that the
jeka57 [31]

Answer:

a. 20,579.52 cubic inches

b.10,289.76  cubic inches.

c. 13.49 inches

Step-by-step explanation:

Hi, to answer this question we have to calculate the volume of a sphere:

Volume of a sphere: 4/3 π r³

Since diameter (d) = 2 radius (r)

Replacing with the value given:

34 =2r

34/2=r

r= 17 in

Back with the volume formula:

V = 4/3 π r³

V =4/3 π (17)³

V = 20,579.52 cubic inches

The volume of the half-inflated balloon is equal to the volume of the sphere divided by 2.

20,579.52/2 = 10,289.76  cubic inches.

To find the radius of the half-inflated balloon we have to apply again the volume formula and substitute v=10,289.76

10,289.76= 4/3 π r³

Solving for r

10,289.76/ (4/3 π)= r³

2,456.5 = r³

∛2,456.5 = r

r = 13.49 inches

7 0
3 years ago
Pls help with BOTH questions and make sure to show how you set up the problems!!
vivado [14]

5.) Answer: 0.45

Step-by-step explanation:

There is 1.5 quarts of paint, and 30% is yellow.

30% of 1.5 is 0.45.

6.) Answer: 7.198

Step-by-step explanation:

$499.99 is 100%. We need to find $35.99 off of it in percentage.

499.99/35.99 = 100/x

499.99x = 3599, x = 3599/499.99

x ≈ 7.198

7 0
2 years ago
2 x 10^-1 4 x 10^2 how many times longer
posledela
I don’t know what you mean can you explain more?
6 0
2 years ago
Read 2 more answers
What is the value of x in this equation?<br> x - 1/2 = 3 1/6
Ludmilka [50]

Answer:

x= 3 2/3

Step-by-step explanation:

6 0
3 years ago
Classify the following triangle as acute, obtuse, or right
777dan777 [17]
Acute.........................
4 0
3 years ago
Read 2 more answers
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