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3 years ago

Frank has 24 pennies, 62 nickels, 55 dimes, 16 quarters, and 19 fifty-cent pieces. How much money does he have?

Mathematics

1 answer:

erik [133]3 years ago

5 0

Answer:

$22.34

Step-by-step explanation:

24 pennies is .24 of a dollar

62 nickels will be: (62 x 5) / 100 = 3.10

55 dimes is 5.5

16 quarters will be 4.0

19 fifty-cents will be 9.5

Add them up to get $22.34 if I’m right.

Hope this helped.

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What is the quotient of -8a^8b^-2/ 10a^-4b^-10 in simplified form?

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Here are a few rules with exponents that you need to know:

Dividing exponents of the same base: $\frac{x^m}{x^n}=x^{m-n}$

For this, divide:

$\frac{-8a^8b^{-2}}{10a^{-4}b^{-10}}=\frac{-8}{10}a^{8-(-4)}b^{-2-(-10)}=-\frac{4}{5}a^{12}b^8$

<u>Your final answer is $-\frac{4}{5}a^{12}b^8$ </u>

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3 years ago

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The radius of a right circular cone is increasing at a rate of 1.4 in/s while its height is decreasing at a rate of 2.1 in/s. At

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Given:

$\dfrac{dr}{dt}=1.4\text{ in/s}$

$\dfrac{dh}{dt}=-2.1\text{ in/s}$

To find:

The rate of change in volume at $r=120\text{ in. and }175\text{ in.}$

Solution:

We know that, volume of a cone is

$V=\dfrac{1}{3}\pi r^2h$

Differentiate with respect to t.

$\dfrac{dV}{dt}=\dfrac{1}{3}\pi\times \left[(r^2\dfrac{dh}{dt}) + h(2r\dfrac{dr}{dt})\right]$

Substitute the given values.

$\dfrac{dV}{dt}=\dfrac{1}{3}\times \dfrac{22}{7}\times \left[(120)^2(-2.1) +175(2)(120)(1.4)\right]$

$\dfrac{dV}{dt}=\dfrac{22}{21}\times \left[-30240+58800\right]$

$\dfrac{dV}{dt}=\dfrac{22}{21}\times 28560$

$\dfrac{dV}{dt}=29920$

Therefore, the volume of decreased by 29920 cubic inches per second.

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3 years ago

If i were to divide 15.34 by 1.64 what would it be

vazorg [7]

Answer:

9.35975609756

Step-by-step explanation:

Its about this I just put it into a calculator

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4 years ago

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Jenny is making a toilet cleaner from vinegar and water in the ratio of 1 : 5. She starts by mixing 4.5 cups of water with 7 cup

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Answer:

She need need 0.5 more cups of water.

Step-by-step explanation:

If you do 5 - 4.5 it will equal 0.5.

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3 years ago

What 9•8(k+9)-5•7=<br><br> K=?

lara31 [8.8K]

9.8(k+9)−5.7
Distribute:
=(9.8)(k)+(9.8)(9)+−5.7
=9.8k+88.2+−5.7
Combine Like Terms:
=9.8k+88.2+−5.7
=(9.8k)+(88.2+−5.7)
=9.8k+82.5
Answer:
=9.8k+82.5

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