So
a be first term and d be common difference
- a+a+2d+a+4d+a+6d+a+9d=17
- 5a+21d=17--(1)
And
- a+d+a+3d+a+5d+a+7d+a+9d=15
- 5a+25d=15--(2)
Eq(1)-Eq(2)
Put in second one
- 5a+25d=15
- a+5d=3
- a+5/2=15
- a=15-5/2
- a=25/2
Identify the median for the data of Johnny’s test scores: 92, 96, 97, 83, 92, 58, 93, 88, 77, 48, 65, 80, 71
Anastasy [175]
Answer
The median is 83
Step-by-step explanation:
You must put the scores in order to find median.
48, 58, 65, 71, 77, 80, 83, 88, 92, 92, 93, 96, 97
Then you find the number that is in the exact middle of the list.
In this case the median (middle number) is 83
Answer:
c) x = 11
Step-by-step explanation:
Given equation: 7x - 9 = 28 + 4(x - 1)
<u><em>Steps:</em></u>
1. Distribute 4 through the parentheses:
7x - 9 = 28 + 4(x) + 4(-1)
7x - 9 = 28 + 4x - 4 [simplify]
7x - 9 = 24 + 4x
2. Subtract 4x from both sides:
7x - 4x - 9 = 24 + 4x - 4x
3x - 9 = 24
3. Add 9 to both sides:
3x - 9 + 9 = 24 + 9
3x = 33
4. Divide both sides by 3:
3x ÷ 3 = 33 ÷ 3
x = 11
5. Check your work:
7x - 9 = 28 + 4(x - 1) [substitute 11 for x]
7(11) - 9 = 28 + 4(11 - 1) [simplify]
77 - 9 = 28 + 4(10) [simplify]
68 = 28 + 40 [add]
68 = 68 ✔
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Answer: i believe bill saved $21.44
Step-by-step explanation: 68.99-57=11.99
37.80-25%=28.35
37.80-28.35=9.45
9.45+11.99=21.44
Answer:
This will help you answer the question
The most important thing to remember when writing a proportion is to keep the units the same in both ratios. You know the fractions are equivalent because each shows the ratio of girls to boys in the class. The first fraction shows the known ratio of girls to boys.
