We are given equation c=50p.
c is the total cost and p is the number of people.
Let us take number of people by groups of 10, 20, 30,40 people.
Note: We can take any positive integer for number of people in a group.
Now, we need to plug p=10, 20, 30,40 one by one in given function c=50p to find the costs c.
Plugging p=10, we get
c= 50*10 = 500.
Plugging p=20, we get
c= 50*20 = 1000.
Plugging p=30, we get
c= 50*30 = 1500.
Plugging p=40, we get
c= 50*40 = 2000.
So, we can create a table as.
Number of people (p) Total cost (c)
--------------------------------------------------------------------
10 500
20 1000
30 1500
40 2000
Answer:
Part 1) Helen will need 38 feet of fencing
Part 2) The perimeter around the three sides of the rectangular section of the garden is 27 feet
Part 3) The approximate distance around half of the circle is 11 feet
Step-by-step explanation:
Part 1) How much fencing will Helen need?
Find out the perimeter
we know that
The perimeter of the figure is equal to the sum of three sides of the rectangular section plus the circumference of a semicircle
so
![P=2L+W+\frac{1}{2}\pi D](https://tex.z-dn.net/?f=P%3D2L%2BW%2B%5Cfrac%7B1%7D%7B2%7D%5Cpi%20D)
we have
![L=10\ ft\\W=7\ ft\\D=7\ ft\\\pi =\frac{22}{7}](https://tex.z-dn.net/?f=L%3D10%5C%20ft%5C%5CW%3D7%5C%20ft%5C%5CD%3D7%5C%20ft%5C%5C%5Cpi%20%3D%5Cfrac%7B22%7D%7B7%7D)
substitute
![P=2(10)+7+\frac{1}{2}(\frac{22}{7})(7)](https://tex.z-dn.net/?f=P%3D2%2810%29%2B7%2B%5Cfrac%7B1%7D%7B2%7D%28%5Cfrac%7B22%7D%7B7%7D%29%287%29)
![P=20)+7+11=38\ ft](https://tex.z-dn.net/?f=P%3D20%29%2B7%2B11%3D38%5C%20ft)
therefore
Helen will need 38 feet of fencing
Part 2) What is the perimeter around the three sides of the rectangular section of the garden?
![P=2L+W](https://tex.z-dn.net/?f=P%3D2L%2BW)
we have
![L=10\ ft\\W=7\ ft](https://tex.z-dn.net/?f=L%3D10%5C%20ft%5C%5CW%3D7%5C%20ft)
substitute
![P=2(10)+7](https://tex.z-dn.net/?f=P%3D2%2810%29%2B7)
![P=20+7=27\ ft](https://tex.z-dn.net/?f=P%3D20%2B7%3D27%5C%20ft)
therefore
The perimeter around the three sides of the rectangular section of the garden is 27 feet
Part 3) What is the approximate distance around half of the circle?
Find the circumference of semicircle
![C=\frac{1}{2}\pi D](https://tex.z-dn.net/?f=C%3D%5Cfrac%7B1%7D%7B2%7D%5Cpi%20D)
we have
![D=7\ ft\\\pi =\frac{22}{7}](https://tex.z-dn.net/?f=D%3D7%5C%20ft%5C%5C%5Cpi%20%3D%5Cfrac%7B22%7D%7B7%7D)
substitute
![C=\frac{1}{2}(\frac{22}{7})(7)](https://tex.z-dn.net/?f=C%3D%5Cfrac%7B1%7D%7B2%7D%28%5Cfrac%7B22%7D%7B7%7D%29%287%29)
![C=11\ ft](https://tex.z-dn.net/?f=C%3D11%5C%20ft)
therefore
The approximate distance around half of the circle is 11 feet
Answer:the number of adults that attended the game is 135.
the number of children that attended the game is 31
Step-by-step explanation:
Let x represent the number of adults that attended the game.
Let y represent the number of children that attended the game.
There were 166 paid admissions to a game. This means that
x + y = 166
The price was $2 for adults and $.75 for children. The amount of data taken in was $293.25. This means that
2x + 0.75y = 293.25 - - - - - - - - - - 1
Substituting x = 166 - y into equation 1, it becomes
2(166 - y) + 0.75y = 293.25
332 - 2y + 0.75y = 293.25
- 2y + 0.75y = 293.25 - 332
- 1.25y = - 38.75
y = - 38.75/- 1.25
y = 31
x = 166 - y = x = 166 - 31
x = 135
Answer: x=12
Step-by-step explanation:
- Multiply both sides by 27.
- Use this rule: a/b*c=ac/b
- Simplify 4×27 to 108.
- Simplify 108/9 to 12
![x=\frac{4}{9} *27\\\\x=\frac{4*27}{9} \\\\x=\frac{108}{9} \\\\x=12](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B4%7D%7B9%7D%20%2A27%5C%5C%5C%5Cx%3D%5Cfrac%7B4%2A27%7D%7B9%7D%20%5C%5C%5C%5Cx%3D%5Cfrac%7B108%7D%7B9%7D%20%5C%5C%5C%5Cx%3D12)
Hope this helps, HAVE A BLESSED AND WONDERFUL DAY! As well as a great Superbowl Weekend! :-)
- Cutiepatutie ☺❀❤
Answer:
You could answer this two ways.
Step-by-step explanation:
Method 1: Set up proportion
x/40=55/100
Cross-multiply and you will get..
2200=100x
x=22
Method 2: Use decimals
As we saw in the first method, 55 percent is equal to 55/100. 55/100 is equal to 0.55.
You can multiply 0.55 and 40 to get the answer as well.
0.55 times 40 is 22.
Hope this explanation helped! ☺️