Answer:
f(x) = x*3/4 + 42.5
Step-by-step explanation:
The original difference between the pair is 70 - 30 = 40
The new difference between the pair is 95 - 65 = 30
Since the differences are not the same, Mrs Bailey must first perform a (slope) multiplication by a factor of 30/40 or 3/4
Then 30 * 3/4 = 22.5
Then she can shift the scores up by 65 - 22.5 = 42.5 in order to get the range from 65 to 95
Therefore, f(x) = x*3/4 + 42.5. We can test that
f(30) = 30*3/4 + 42.5 = 65
f(70) = 70*3/4 + 42.5 = 95
Answer:
A. 168 units³
Step-by-step explanation:
volume = area of bas × height
volume = (6)(7)/2 × 8
volume = 168 units³
Answer:
69
Step-by-step explanation:
If every 175th person gets free admission, that means
175th
175 * 2 = 350th
175 * 3 = 525th
person gets free admission and so on...
This basically means <em><u>"how many 175s are there is 6742 (for first day) and 5487 (for 2nd day)?"</u></em>
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We would need to divide and see the WHOLE number, not the fractional(decimal) amount remaining. So
<u>1st Day:</u>
6742/175 = 38.53
This means 38 people will get free admission
<u>2nd Day:</u>
5487/175 = 31.35
This means 31 people will get free admission
In the 2 days, total of 38 + 31 = 69 people will get free admission
Answer:
6+3x
Step-by-step explanation:
multiply each term in the parentheses by the outer term.