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tatuchka [14]
3 years ago
10

What is the exact volume of a sphere that has a radius of 8.4 in.?

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
7 0
V = 4/3 * pi * r^3

V = 4/3 * pi * 8.4^3

Simplify exponent:

V = 4/3 * pi * 592.704

Multiply:

<span>V = 790.272pi</span>
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A pen and a ruler cost $2.10. 2 such pens and 3 such rulers cost $4.90. Find the cost of one ruler.
hammer [34]

The cost of one ruler is $0.70

<h3>Applications of simultaneous equations </h3>

From the question, we are to determine the cost of one ruler

Let x represent the cost of a ruler

and

y represent the cost of a pen

From the given information, we can write that

y + x = $2.10 ----------- (1)

2y + 3x = $4.90  ----- (2)

From equation (1),

y + x = $2.10

Then,

y = $2.10 - x

Substitute this into equation (2)

2y + 3x = $4.90

2($2.10 - x) + 3x = $4.90

$4.20 - 2x + 3x = $4.90

$4.20 +x = $4.90

x = $4.90 - $4.20

x = $0.70

Hence, the cost of one ruler is $0.70

Learn more on Simultaneous equations here: brainly.com/question/26310043

#SPJ1

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Oksana_A [137]
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