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Talja [164]
3 years ago
7

Will give brainless whatever that means. Due today. The radius of a basketball is 10 inches, and the radius of a soccer ball is

9 inches. How much greater is the volume of the basketball than the soccer ball? Round to the nearest tenth ​
Mathematics
1 answer:
Helen [10]3 years ago
7 0

9514 1404 393

Answer:

  1135.2 in³

Step-by-step explanation:

The volume of a sphere is given by the formula ...

  V = (4/3)πr^3

The difference in volume will be ...

  ∆V = Vb -Vs = (4/3)π(10^3 -9^3) = (4/3)π(1000 -729) = 4/3π·271 . . . cubic in

  ∆V ≈ 1135.2 . . . cubic inches

The basketball has a volume that is 1135.2 cubic inches greater.

_____

If you use 3.14 for π, your answer is 1134.6 in^3.

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1. Kim's age is twice that of her sister. When you add Kim's age to her sister's age, you get 24. How old is each
Andre45 [30]

Answer:

a) Let Kim's age be k, then Kim's sister's age is k/2

k+\frac{k}{2}=24

b) k+\frac{k}{2}=24

1\frac{1}{2}k=24

k=16

\frac{k}{2}=8

Kim's age is 16 while her sister's age is 8.

5 0
3 years ago
Hi, I have no clue how to do proportions and can you explain how to do this? If you can't that's alright.
bekas [8.4K]

___________________

Please, give me some minutes to take over your question

______________________________________

Rate = miles / time

8/t = 7/ 35

Dividing by 7

8/t = 7/ 35

8/ 7t = 1/ 35

Multiplying by t

8/7 = t/35

_____________

Options

1) 8/t = 35/ 7 (False, t/8 = 35/ 7 )

2) t/8 = 7/ 35 (False, t/8 = 35/ 7 )

3) 8/7 = t/ 35 (TRUE)

4) 7/8 = t/35 (False, 8/7 = t/ 35 )

__________________

Answer

3) 8/7 = t/ 35 (TRUE)

4 0
1 year ago
a cashier at the supermarket has $685 in 4 different denomination bills in her register at the end of the day. the number of $5
netineya [11]

9514 1404 393

Answer:

  • 85 ones
  • 70 fives
  • 15 tens
  • 2 fifties

Step-by-step explanation:

Let a, b, c, d represent the numbers of $1, $5, $10, and $50 bills, respectively. The problem statement tells us ...

  a +5b +10c +50d = 685 . . . . . total amount of cash

  b = 10 +4c . . . . . . . . . . . . the number of fives is 10 more than 4 times tens

  a = b+c . . . . . . . . . . . as many ones as fives and tens combined

  d = 2 . . . . . . . . . . the register contained 2 fifty-dollar bills

__

Substituting for 'a', then for 'b', we have ...

  (b+c) +5b +10c +50d = 685

  6(10 +4c) +11c +50d = 685

  60 +35c +50d = 685

Substituting d=2 and subtracting 160 gives ...

  35c = 525

  c = 15

  b = 10 +4c = 10 +4(15) = 70

  a = b+c = 70 +15 = 85

The register contained ...

  • 85 ones
  • 70 fives
  • 15 tens
  • 2 fifties
5 0
2 years ago
Read 2 more answers
Ping lives at the corner of 3rd Street and 6th Avenue. Ari lives at the corner of 21st Street and 18th Avenue. There is a gym Tw
mr_godi [17]

Answer: (15th street, 14th Avenue)

Step-by-step explanation:

Given the following :

Ping's residence = (3rd street, 6th Avenue)

Ari's residence = (21st street, 18th Avenue)

Gym location = 2/3 the distance of Ping's residence to Ari's residence

So, distance between Ping's home to Ari's home

Distance = (21st street, 18th Avenue) - (3rd street, 6th Avenue)

Distance = (21 - 3) street, (18 - 6) avenue

Distance between ping and Ari = (18th , 12th )

Gym distance = 2/3 of distance between ping and Ari

Gym distance = 2/3 × (18), 2/3 ×(12)

Gym distance = (12, 8)

Gym location = Ping's location + gym distance

Gym location = (3rd street, 6th Avenue) + (12th street, 8th Avenue)

Gym location = (15th street, 14th Avenue)

3 0
3 years ago
(Need 3 answers) An entomologist discovered a new insect species. The population of the insect species can be modeled by P(n) =
Strike441 [17]

Answer:

  • See below

Step-by-step explanation:

<u>According to the model, the equation is:</u>

  • P(n) = 3450*bⁿ

Based on the equation, the initial number of insects is 3450

<u>If b = 1.75, daily growth rate is:</u>

  • 1.75 - 1 = 0.75 = 75%

<u>If  we get P(4) = 55200, find the value of b:</u>

  • 55200 = 3450*b⁴
  • b⁴ = 55200/3450
  • b⁴ = 16
  • b⁴ = 2⁴
  • b = 2
3 0
2 years ago
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