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ANTONII [103]
2 years ago
15

katie received 15 gifts and a total of $100 in cash for her birthday. She buys one book that costs $23, and she wants to donate

$10 to each of several local charities. How much money will Katye have left over if she donated to as many charities as possible
Mathematics
1 answer:
Lady bird [3.3K]2 years ago
6 0

Answer:

Katie will have 7 dollars left over.

Step-by-step explanation:

100

She buys a book so subtract 23 from 100.

100-23= 77

Katie has 77 dollars and wants to donate $10 to as much charities. 10 can go into 77, 7 times, which means she can only donate to 7 charities in $10.

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Which of the following statements would not translate to the equation 8 ÷ x = -4?
Hoochie [10]
The answer is letter B
6 0
2 years ago
Answer ASAP please, I need help.
Darya [45]

Step-by-step explanation:

martha-12

0+6+12

i think thats the answer

8 0
2 years ago
A ball of radius 15 has a round hole of radius 5 drilled through its center. Find the volume of the resulting solid. Hint: The u
OverLord2011 [107]

Answer:

The volume of the ball with the drilled hole is:

\displaystyle\frac{8000\pi\sqrt{2}}{3}

Step-by-step explanation:

See attached a sketch of the region that is revolved about the y-axis to produce the upper half of the ball. Notice the function y is the equation of a circle centered at the origin with radius 15:

x^2+y^2=15^2\to y=\sqrt{225-x^2}

Then we set the integral for the volume by using shell method:

\displaystyle\int_5^{15}2\pi x\sqrt{225-x^2}dx

That can be solved by substitution:

u=225-x^2\to du=-2xdx

The limits of integration also change:

For x=5: u=225-5^2=200

For x=15: u=225-15^2=0

So the integral becomes:

\displaystyle -\int_{200}^{0}\pi \sqrt{u}du

If we flip the limits we also get rid of the minus in front, and writing the root as an exponent we get:

\displaystyle \int_{0}^{200}\pi u^{1/2}du

Then applying the basic rule we get:

\displaystyle\frac{2\pi}{3}u^{3/2}\Bigg|_0^{200}=\frac{2\pi(200\sqrt{200})}{3}=\frac{400\pi(10)\sqrt{2}}{3}=\frac{4000\pi\sqrt{2}}{3}

Since that is just half of the solid, we multiply by 2 to get the complete volume:

\displaystyle\frac{2\cdot4000\pi\sqrt{2}}{3}

=\displaystyle\frac{8000\pi\sqrt{2}}{3}

5 0
3 years ago
An internal census of the salaries of animals employed by United Pets Inc. shows that the median salary for dogs is considerably
RUDIKE [14]

Answer:

c. Different departments tend to pay different salaries, and dogs are more likely than cats to work in lower-paying departments.

Explanation:

The only explanation for difference in median results is that dogs take up jobs in both higher paying departments and lower paying departments while cats take up jobs in only higher paying departments only. In other words the median results for dogs when compared in general would be higher than that of the cats

7 0
3 years ago
What is 992,449 rounded to the nearest hundred thousands
Rzqust [24]
992,449 rounded to the nearest hundred thousands is 1,000,000. The reason why is because the 9 in the ten thousands place is pushing up the 9 in the hundred thousands place. 



8 0
3 years ago
Read 2 more answers
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