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Roman55 [17]
3 years ago
6

If a sphere’s radius is quadrupled, what is the corresponding change in the volume?

Mathematics
1 answer:
vovangra [49]3 years ago
6 0
The volume is proportional to the cube of the radius:
4^3=64
The volume will be 64 times the original value!




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8. The expression below is evaluated when x = 9, y = 3,
Reptile [31]

Answer:

64

Step-by-step explanation:

First of all substitute the values to where ever you see their corresponding variables to make them multiply.

x = 9

y = 3

z = 2

so we get

8x as 8(9),

7z as 7(2)

2y as 2(3)

then the it's will be

8(9) - 7(2) + 2(3)

which is

72 - 14 + 6

finally we get

64

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A basketball was originally priced at $25, but Tucker waited to buy it until the basketball was on sale for 20% off. If he paid
kotegsom [21]

Answer:

The answer to your question is $21.0

Step-by-step explanation:

Data

Original price = $25

Discount = 20%

Taxes = 5%

Process

1.- Calculate the price with the discount

                     $25 ------------------- 100%

                        x   -------------------   20%

                        x = (20 x 25) / 100

                        x = 500 / 100

                        x = $5

Price after the discount = $25 - $5

                                       = $20

2.- Calculate the price after taxes

                     $20 ---------------------- 100%

                         x  -----------------------   5%

                       x = (5 x 20) / 100

                       x = 100 / 100

                       x = $1

Final price = $20 + $1

                = $21  

3 0
3 years ago
A car has 15 gallons of gas in its tank. The car travels 35 miles per gallon of gas. It uses 1/35 of a gallon of gas to go one m
ikadub [295]

Answer:

2.86 gallons

Step-by-step explanation:

If 1/35 gallon of gas = 1 mile

To travel 100 miles,

1/35 × 100

= 0.0286 × 100

= 2.86 gallons

Therefore, the car needs 2.86 gallons of gas to travel 100 miles.

4 0
3 years ago
An online store receives customer satisfaction ratings between 000 and 100100100, inclusive. In the first 101010 ratings the sto
Monica [59]

Complete question is;

An online store receives customer satisfaction ratings between 0 and 100, inclusive. In the first 10 ratings the store received, the average (arithmetic mean) of the ratings was 75. What is the least value the store can receive for the 11th rating and still be able to have an average of at least 85 for the first 20 ratings?

Answer:

50

Step-by-step explanation:

We are told that In the first 10 ratings the store received arithmetic mean of the ratings = 75.

Thus;

Sum of the first 10 ratings = 75 × 10 = 750

Now, for the mean of the first 20 ratings to be at least 85, it means that the sum of the first 20 ratings would be; 85 × 20 = 1700

Thus, the sum of the next 10 ratings would be; 1700 − 750 = 950.

If maximum rating = 100, then the maximum possible value of the sum of the 12th to 20th ratings is given by;

9 × 100 = 900.

Now, in order to make the store have an average of at least 85 for the first 20 ratings, the least value for the 11th rating is;

950 − 900 = 50

7 0
3 years ago
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