Answer:
501/20 or 25.05
Step-by-step explanation:
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Answer:
![\% Change = \frac{9}{64} *100 = 14.0625\% \approx 14\%](https://tex.z-dn.net/?f=%20%5C%25%20Change%20%3D%20%5Cfrac%7B9%7D%7B64%7D%20%2A100%20%3D%2014.0625%5C%25%20%5Capprox%2014%5C%25)
So then we have approximately 14% of the values higher than 95.5
Step-by-step explanation:
For this case we assume that the info is given on the figure attached.
From this figure we have the following frequencies for each class
Class Frequency
___________________________
70.5-75.5 13
75.5-80.5 7
80.5-85.5 6
85.5-90.5 10
90.5-95.5 19
95.5-100.5 9
____________________________
Total 64
So we have a total of 64 values and we want to find the percentage of students that scored higher than 95.5 so we can use the formula of relative change and we got:
![\% Change = \frac{9}{64} *100 = 14.0625\% \approx 14\%](https://tex.z-dn.net/?f=%20%5C%25%20Change%20%3D%20%5Cfrac%7B9%7D%7B64%7D%20%2A100%20%3D%2014.0625%5C%25%20%5Capprox%2014%5C%25)
So then we have approximately 14% of the values higher than 95.5
Answer:
Perimeter = (Length x 2) + (Width x 2)
27.5 = (9 x 2) + (Width x 2)
27.5 = 18 + (Width x 2)
9.5 = (Width x 2)
4.75 = Width
check:
27.5 = (9 x 2) + (4.75 x 2)
27.5 = 18 + 9.5
27.5 = 27.5
Since the width is 4.75 and the length is 9, we can multiply the two to get the area. 4.75 x 9 = 42.75 sq. ft.
The rent for one movie is $4.50 and rent for one video game is $5.50
Step-by-step explanation:
Let,
Rent for one movie = x
Rent for one video game = y
According to given statement;
12x+2y=65 Eqn 1
3x+5y=41 Eqn 2
Multiplying Eqn 2 by 4
![4(3x+5y=41)\\12x+20y=164\ \ \ \ Eqn\ 3](https://tex.z-dn.net/?f=4%283x%2B5y%3D41%29%5C%5C12x%2B20y%3D164%5C%20%5C%20%5C%20%5C%20Eqn%5C%203)
Subtracting Eqn 1 from Eqn 3
![(12x+20y)-(12x+2y)=164-65\\12x+20y-12x-2y=99\\18y=99\\](https://tex.z-dn.net/?f=%2812x%2B20y%29-%2812x%2B2y%29%3D164-65%5C%5C12x%2B20y-12x-2y%3D99%5C%5C18y%3D99%5C%5C)
Dividing both sides by 18
![\frac{18y}{18}=\frac{99}{18}\\y=5.50](https://tex.z-dn.net/?f=%5Cfrac%7B18y%7D%7B18%7D%3D%5Cfrac%7B99%7D%7B18%7D%5C%5Cy%3D5.50)
Putting y=5.50 in Eqn 2
![3x+5(5.50)=41\\3x+27.50=41\\3x=41-27.50\\3x=13.50](https://tex.z-dn.net/?f=3x%2B5%285.50%29%3D41%5C%5C3x%2B27.50%3D41%5C%5C3x%3D41-27.50%5C%5C3x%3D13.50)
Dividing both sides by 3
![\frac{3x}{3}=\frac{13.50}{3}\\x=4.50](https://tex.z-dn.net/?f=%5Cfrac%7B3x%7D%7B3%7D%3D%5Cfrac%7B13.50%7D%7B3%7D%5C%5Cx%3D4.50)
The rent for one movie is $4.50 and rent for one video game is $5.50
Keywords: linear equation, elimination method
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