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olya-2409 [2.1K]
3 years ago
9

Stacy hits the jackpot one day at the gumball machine. She puts in a quarter and gets 444 gumballs rather than 111. The radius o

f each gumball is 666 mm.
What is the total volume of all 444 gumballs?
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi.
Mathematics
1 answer:
inn [45]3 years ago
8 0

Answer: 3617.28 cubic millimeters.

Step-by-step explanation: I used the formula of a sphere since a gumball is a shape of a sphere and plugged the radius into the formula.

I got that the volume of a single gumball is 288π cubic millimeters.

Since there are 4 gumballs, i multiplied the volume by 4.

The total volume of the four gumballs add up to be 1152π .

Lastly, I multiplied 1152 by pi

and got the answer to be 3617.28 cubic millimeters

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30 POINTS NEED HELP
KatRina [158]

a. The expression y=5x represent the number of small marbles she has.

b. The expression z=3x+2 represents the number of large marbles she has.

c. Amy has 310 small marbles, 62 medium marbles and  188 large marbles.

Step-by-step explanation:

a. Let x represent the number of medium marbles Amy has. Write an algebraic expression to represent the number of small marbles she has.

Medium marbles = x

Let,

Small marbles = y

According to given statement;

She has five times as many small marbles as medium marbles.

y = 5x        Eqn 1

The expression y=5x represent the number of small marbles she has.

b. Write an algebraic expression to represent the number of large marbles she has.

Let,

Large marbles = z

The number of large marbles is two more than three times the number of medium marbles.

z = 3x+2        Eqn 2

The expression z=3x+2 represents the number of large marbles she has.

c. If Amy has a total of 560 marbles, how many of each size does she have?

x+y+z= 560     Eqn 3

Putting value of y and z from Eqn 1 and 2 in Eqn 3

x+(5x)+(3x+2)=560\\x+5x+3x+2=560\\9x=560-2\\9x=558

Dividing both sides by 9

\frac{9x}{9}=\frac{558}{9}\\x=62

Putting x=62 in Eqn 1

y=5(62)\\y=310

Putting x=62 in Eqn 2

z=3(62)+2\\z=186+2\\z=188

Amy has 310 small marbles, 62 medium marbles and  188 large marbles.

Keywords: linear equation, substitution method

Learn more about substitution method at:

  • brainly.com/question/11416224
  • brainly.com/question/11638377

#LearnwithBrainly

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3 years ago
Is 0.15783456 rational or irrational
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The problem is a irrational number

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3 years ago
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Answer:

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Step-by-step explanation:

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11.5/27

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Answer:

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2 years ago
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