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melamori03 [73]
1 year ago
5

A circular backyard pool has a diameter of 26 feet and is 4 feet deep. One cubic foot of water has a capacity of approximately 7

.48 gallons. If water costs ​$3 per thousand​ gallons, how​ much, to the nearest​ dollar, will it cost to fill the​ pool?
Mathematics
1 answer:
klasskru [66]1 year ago
7 0
Find the water volume of the pool.  The formula for a vertical cylinder is V = pi*r^2*h, which here is V = pi(13 ft)^2*(4 ft) = 676*pi cubic feet.

Now convert this 676 cu. ft. to gallons:

Mult (676*pi cu ft) by the conversion factor (7.48 gal) / (1 cu ft):

676*pi cu ft     7.48 gal
--------------- * ------------- = 5056*pi gallons (rounded down from 5056.48 pi)
        1             1 cu ft

The cost of filling the pool will be

5056.48*pi gallons        $3
--------------------------- * ------------- = $48 (to the nearest dollar)
        1                           1000 gal
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A group of campers is going to occupy 3 campsites at a campground. There are 17 campsites from which to choose. In how many ways
Alexeev081 [22]

Answer:

Campsites be chosen in 680 ways.

Step-by-step explanation:

Given:

Number of  campsites= 17

Number of campsites that are to be occupied=3

To Find:

Number of ways can the campsites be chosen=?

Solution:

Combination:

In mathematics, a combination is a way of selecting items from a collection where the order of selection does not matter. Suppose we have a set of three numbers P, Q and R. Then in how many ways we can select two numbers from each set, is defined by combination.

nCr = n(n - 1)(n - 2) ... (n - r + 1)/r! = n! / r!(n - r)!

No of ways in which campsites can be chosen= \frac{17!}{3!(17-3)!}17C3

=>\frac{17!}{3!(14!)}

=>\frac{15\times16\times17}{3\times 2\times 1}

=>\frac{4080}{6}

=>680

5 0
1 year ago
Help me ASAP!
butalik [34]

Answer:

the answer is b

Step-by-step explanation:

There is no negative sign therefore d and a are not an option and yep ito b

5 0
1 year ago
130 students choose to attend one of three after school activities: football, tennis or running. There are 58 boys. 49 students
cestrela7 [59]

Answer:   \dfrac{27}{65}

<u>Step-by-step explanation:</u>

There are 130 students.

There are 58 boys --> 72 girls

A) 49 chose football: 27 are girls --> 22 are boys

B) 72 girls: 24 chose running, 27 chose football --> 21 girls chose tennis

C) 27 students chose tennis: 21 are girls --> 6 are boys.

D) 58 boys: 22 chose football, 6 chose tennis --> 30 boys chose running.

\large\boxed{\begin{array}{l|cc||c}&\underline{Boys}&\underline{Girls}&\underline{Total}\\Football&22&27&49\\Tennis&6&21&27\\\underline{Running}&\underline{\quad 30\quad}&\underline{\quad 24\quad}&\underline{\quad 54\quad}\\Total&58&72&130\end{array}}

Total running = 30 boys + 24 girls = 54

Total students = 130

\dfrac{\text{Total running}}{\text{Total students}}=\dfrac{54}{130}\quad \rightarrow \large\boxed{\dfrac{27}{65}}

8 0
2 years ago
Maria is weiting a list of numbers. She asked susanne what the next number would be. After looking at the list susanne states, t
Tanzania [10]

Answer: Inductive Reasoning.

Had to complete the question first.

Maria is writing a list of numbers. She asked Susanne what the next number would be . After looking at the list: 7,14,21,28,35,42,_Susanne states,”the next number will be 49” inductive or deductive.

Step-by-step explanation:

inductive reasoning: This is known as a process of using observations and  examples to reach a conclusion or decision.

When ever a pattern or trend is used to predict the next possible outcome, you are using inductive reasoning. Just like from Maria list Susanne was able to predict that the next number would be 49 because the sequence increases with an interval of 7. ( 7, 14, 21, 28, 35, 42, 49).

4 0
2 years ago
Charlene is 8 years older than Aaron. the sum of their ages is 44. what are their ages?
san4es73 [151]

Answer:

36

Step-by-step explanation:44-8=36

8 0
1 year ago
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