Let x represent Holly's score on 7th math quiz.
We have been given that the mean of Holly's first six math quiz scores was 75%. This means that the average on 1st 6 math quizzes is 75.
To find the total scores on 1st 6 math quizzes, we will multiply 75 by 6 that is
.
We will use average formula to find test scores on 7th math quiz.
![\text{Average of 7 math quizzes}=\frac{\text{Sum of scores on 7 math quizzes}}{\text{7 quizzes}}](https://tex.z-dn.net/?f=%5Ctext%7BAverage%20of%207%20math%20quizzes%7D%3D%5Cfrac%7B%5Ctext%7BSum%20of%20scores%20on%207%20math%20quizzes%7D%7D%7B%5Ctext%7B7%20quizzes%7D%7D)
![77=\frac{x+450}{7}](https://tex.z-dn.net/?f=77%3D%5Cfrac%7Bx%2B450%7D%7B7%7D)
Let us solve for x.
![77\cdot 7=\frac{x+450}{7}\cdot 7](https://tex.z-dn.net/?f=77%5Ccdot%207%3D%5Cfrac%7Bx%2B450%7D%7B7%7D%5Ccdot%207)
![539=x+450](https://tex.z-dn.net/?f=539%3Dx%2B450)
![x+450=539](https://tex.z-dn.net/?f=x%2B450%3D539)
![x+450-450=539-450](https://tex.z-dn.net/?f=x%2B450-450%3D539-450)
![x=89](https://tex.z-dn.net/?f=x%3D89)
Therefore, Molly's score on the 7th math quiz was 89.
To find the volume of the smaller cylinder you will need to determine the scale factor by comparing the 2 cylinders. The scale factor is 1:2. This means that each dimension will be divided by 2 when going from the larger to the smaller figure.
Because volume is a three dimensional measurement, you need to divide 9648 by 2, three times.
9648/2=4824
4824/2=2412
2412/2=1206 cubic inches
The volume of the smaller container is 1206 cubic inches.
Let d be the number of days and h be the height
h = 13 + 0.6d
Answer: (a) h = 13 + 0.6d
Given height = 0.208m, find d:
0.208m = 20.8 cm
20.8 = 13 + 0.6d
0.6d = 20.8 - 13 = 7.8
d = 7.8 ÷ 0.6 = 13
Answer: (b) 13 days
155.6 CM
I divided 168 by 100 to find 1% then i got 1.68cm then I times that by 5 to find 5% which was 8.4cm. Finally I subtracted 168 and 8.4 to get 155.6 CM
I hope that helped :)
The equation of the line which passes through the point (-5, 3) and is parallel to the equation 3x -5y = 30 is; 3x -5y = 30.
<h3>What is the equation of the line?</h3>
Since the line is parallel to the given line; 3x -5y = 30 whose slope is; 3/5.
Hence, since the two lines have equal slopes;
3/5 = (y-3)/(x-(-5))
3/5 = (y-3)/(x+5)
5y -15 = 3x +15
3x -5y = 30
Read more on equation of a line;
brainly.com/question/1461621
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