A cylinder-shaped container has a radius of 25 centimeters and a height of 100 centimeters. A glass sphere with a radius of 10 centimeters is placed inside the cylinder shaped container and then the container is completely filled with water. What is the approximate volume of water contained in the cylinder?

Use 3.14 for pi.

4,187 cm³
192,063 cm³
196,250 cm³
200,437 cm³

Answer:

176 3/7

Step-by-step explanation:

Average weight of the kitten in the shelter = Total weight of the kittens / Number of kittens.

An average is a single number taken as representative of a list of numbers, usually the sum of the numbers divided by how many numbers are in the list.

Here,

Average weight of the kittens in the shelter = Total weight of all kitten/ Number of kittens.

Hence, the average weight of the kitten in the shelter = Total weight of all kitten/ Number of kittens.

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To find out how many kilometers of the beach shoreline Maggie and her friend walk, we need to multiply the length of the shoreline by the fraction they walk along. Maggie and her friend walk 8/5 kilometers of the beach shoreline.

To find out how many kilometers of the beach shoreline Maggie and her friend walk, we need to multiply the length of the shoreline by the fraction they walk along.

First, we need to convert the mixed number 2 2/5 to an improper fraction. We can do this by multiplying the whole number (2) by the denominator (5) and adding the result to the numerator (2), then putting the new numerator over the denominator. So, 2 2/5 is equal to (2 * 5 + 2) / 5 = 12/5.

Next, we can multiply the length of the shoreline (2 2/5) by the fraction they walk along (2/3). Multiply the whole number and numerator separately, then add the products and put the result over the denominator.

So, (12/5) * (2/3) = (12 * 2) / (5 * 3) = 24/15 = 8/5.

Maggie and her friend walk 8/5 kilometers of the beach shoreline.

Rachel and Frank spends $10.5 and $5.25 respectively.

It is given to us that

f is the amount of money that Frank spent and

r is the amount of money that Rachel spent.

Frank and Rachel together spent a total of $15.75.

Rachel spends twice as compare to Frank

The equation that represents this situation:

1. f + r = $15.75

2. r = 2f

Substituting r = 2f in equation 1.

f + r = 15.75

f + 2f = 15.75

3f = 15.75

f = 5.25

Substituting f = 5.25 in equation 2.

r = 2f

r = 2(5.25)

r = 10.5

Thus, Rachel spends $10.5 and Frank spends $5.25.

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Final answer:

To find the scale factor for the dilation of a pentagon from a side length of 4 to a side length of 5, divide the new dimension by the original dimension, resulting in a scale factor of 1.25.

Explanation:

The question asks about finding the scale factor used to dilate a pentagon from a side length of 4 to a side length of 5. To find the scale factor, we compare the new dimension to the original dimension. In this case, the side length of the second pentagon is 5, and the side length of the first pentagon is 4. To find the scale factor, we divide the new dimension by the original dimension, which is 5/4. Hence, the scale factor is 1.25.

To clarify, the scale factor is determined by dividing the new dimension (5) by the original dimension (4), yielding 5/4. Therefore, the scale factor is indeed 1.25. This indicates that each side of the pentagon has been multiplied by 1.25 to achieve the dilation from a side length of 4 to a side length of 5.

12 x 3/4 = 36/4 = 9

 she has walked 9 miles

Final answer:

Louise has walked 9 miles after completing 3/4 of her 12-mile fundraising walk. Thus, option b is correct.

Explanation:

The student's question asks how many miles Louise has walked if she has completed 3/4 of her 12-mile fundraising walk. To find the distance walked, multiply the total distance by the fraction completed. So, Louise has walked 3/4 of 12 miles, which is calculated as follows:

Multiply 3/4 by 12.

3/4 * 12 = 9.

Thus, Louise has walked 9 miles.

Answer:

Option:

B , C and D are the correct options.

Step-by-step explanation:

The goals of monetary policy are:

To promote maximum employment, stable price and moderate long term interest rate.

The three tools the Federal Reserve uses to enact monetary policy are:

B.)setting the reserve rate.

C.)setting the interest rate changed to commercial banks on loans from federal reserve. 

D.)The buying and selling of treasury bonds and other government-backed securities.

Answer:

7

Step-by-step explanation:

1 chocolate mug brownie can be made with quarter (0.25) cup of sugar.

In total we have [tex]1\frac{3}{4}=1.75[/tex] cups of sugar. So, divide 1.75 by 0.25 to get the number of mugs of brownies we can make:

[tex]\frac{1.75}{0.25}=7[/tex]

Hence, we can make 7 mugs of brownies with [tex]1\frac{3}{4}[/tex] cups of sugar.

From the given fractions 3/8 is a terminating decimal.

A decimal with an end digit is referred to as a terminating decimal. It is a decimal, which means that its digits are limited.

To solve the question,

Use options,

(A)

3/8

Divide 3 by 8, by mathematical property,

3.75

3.75 has an end digit which is 5,

Therefore, the  given decimal is terminating decimal

In other option 2/3 and 4/6 gives repeating decimals 0.66666, similarly 7/9 is a repetitive decimal.

Hence, 3/8 is a terminating decimal.

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The interquartile range(IQR) of the data set is:

                               10

The data points according to the stem and leaf plot are as follows:

           28    40    43    43    45   50    50

We know that the median of the data is the central tendency of the data and always lie in the middle of the data.

Here looking at the data we have:

Median= 43

Similarly the lower set of data is:

                    28    40    43

Hence, the first quartile or the lower quartile i.e. [tex]Q_1[/tex] is the median of the lower set of data.

Hence,

[tex]Q_1=40[/tex]

Similarly, the upper set of data is:

                 45   50   50

Hence, the upper quartile or the third quartile i.e. [tex]Q_3[/tex] is the median of the upper set of data.

Hence,

[tex]Q_3=50[/tex]

The interquartile range(IQR) is calculated as:

[tex]IQR=Q_3-Q_1\\\\IQR=50-40\\\\IQR=10[/tex]

A function is a special relation whose every input corresponds with a single output. To be a function, each input is allowed to pair with only one output element.

[tex] x^2+y-15=0\\ Adding \; 15 \; subtracting \; x^2\; on\; both\; sides\\ \\ y=-x^2+15 [/tex]

For a parabola equation like above, there is no restriction in the domain. For every x value there is a unique y value.

Conclusion:

The equation [tex] x^2+y-15=0 [/tex] is BOTH a function and a relation!

The true statement is that Trace use more flour

The given parameters are:

Evaluate the quotients

Honey = 1 cup

Flour = 2 cups

2 is greater than 1

Hence, the true statement is that Trace use more flour

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Answer:

The original number is 11.3

Step-by-step explanation:

Let the number is x and then we form the equation to solve it for the value of x.

1- Number is multiplied by 2.5 then it becomes = 2.5x

2- Then we add 1.75 to the expression then new expression will be = 2.5x + 1.75

3- We divide the result by 0.8 then expression will be = [tex]\frac{2.5x + 1.75}{0.8}[/tex]

4- Now the final expression is equal to 37.5 so the equation will be

[tex]\frac{2.5x + 1.75}{0.8}[/tex] = 37.5

Now we multiply 0.8 in both the sides of the equation

[tex]\frac{2.5x + 1.75}{0.8}[/tex]×0.8 = 37.5×0.8

2.5x + 1.75 = 30

2.5x = 30 - 1.75

2.5x = 28.25

x = 28.25/2.5 = 11.3

Answer:

11.3

Step-by-step explanation:

I need to hurry so I don't have enough time to write this down.