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gayaneshka [121]
3 years ago
11

What is the volume of the sphere, rounded to the nearest cubic foot?

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
3 0

Given:

Radius = 5 ft

To find:

The volume of the sphere

Solution:

Volume of the sphere:

$V=\frac{4}{3}\pi r^3

$V=\frac{4}{3}\times 3.142 \times 5^3

$V=523.66

$V=524

The volume of the sphere is 524 ft³.

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Jessamine wants to ride her bike at least 85 miles per week. She rides to and from school 5 days per week. Her house is 6.25 mil
Naddik [55]
Let's translate the verbal language to algebraic language.

She rides to and from school 5 days per week, 6.25 miles each route => 5*2*6.25 miles = 62.5 miles.

She rides additioanly around the park 2.5 miles for each trip t => 2.5*t = 2.5t

Total miles of her rides per week: 62.5 miles + 2.5t

She wants to ride minimum 85 miles => 62.5 + 2.5t ≥ 85

Then, the situation is represented by this inequality:

2.5t + 62.5 ≥ 85

You can develop it and get to several equivalent inequalities, for example:

2.5t ≥ 85 - 62.5

2.5t ≥ 22.5

t ≥ 9

Any of the four forms are equivalent and a valid answer.
4 0
3 years ago
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Please Help!! I am behind in my class and I don’t know how to do this!!
lubasha [3.4K]

Answer:

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7 0
3 years ago
PLEASE HELP WILL GIVE BRAINLIEST<br> Answer all parts of the question please!
Schach [20]
A: l x w = a formula for area
l = w + 48 length
w(w+48) = 3024 substitute l with w+48
w^2 + 48w -3024=0 —solution to part A

B: w^2 + 48w - 3024 = 0 factor
(w-36)(w+84) = 0
Solutions for width = 36,-84
A width can’t be negative, so the width is 36 inches


7 0
3 years ago
Which fraction is shown by point D?<br> A. 1/3<br> B. 1/4<br> C. 3/3<br> D. 3/4
Volgvan

Answer:

C

Step-by-step explanation:

Hope dis helps

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3 years ago
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Kelly purchased 5 containers of ice cream for a party. Each container holds 8 cups of ice cream. Before the party, her brother a
victus00 [196]

Given:

Kelly purchased 5 containers of ice cream for a party.

Each container holds 8 cups of ice cream.

Her brother ate 2 cups of ice cream.

One serving of ice cream = 2/3 of a cup.

To find:

Number of servings of ice cream will be left for the party?

Solution:

We have,

1 container = 8 cups of ice cream

5 containers = 5×8 = 40 cups of ice cream

Her brother ate 2 cups of ice cream. So, remaining cups of ice cream is

40-2=38 cups

Now,

\dfrac{2}{3} of a cup = 1 serving

1 cup = \dfrac{3}{2} serving

38 cup = 38\times \dfrac{3}{2} serving

            = 19\times 3 serving

            = 57 serving

Therefore, 57 servings of ice cream will be left for the party.

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