Answer:
750 < p < 1500
Step-by-step explanation:
The total cost of the affair for p attendees is ...
750 +2.25p
The average cost is that number divided by p. The answer choices suggest that "between" means that the cost per person cannot be 2.75 or 3.25. Applying the limits to the average cost, we get ...
2.75 < (750 +2.25p)/p < 3.25
2.75 < 750/p + 2.25 < 3.25 . . . . . . . . separating the fraction parts
0.50 < 750/p < 1.00 . . . . . . . . . . . . . . subtract 2.25
2 > p/750 > 1 . . . . . . . . . . . . . . . . . . . . . take the reciprocal*
1500 > p > 750 . . . . . . . . matches choice 4
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* Taking the reciprocals of numbers with the same sign reverses their order:
2 < 3 but 1/2 > 1/3
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An alternate approach to the solution would be to multiply by p:
0.50p < 750 < 1.00p
To solve this requires it be made into two inequalities:
0.50p < 750 ⇒ p < 1500
and
750 < 1.00p ⇒ 750 < p
Then these would need to be recombined to form the answer:
750 < p < 1500
Answer:
r = -6
Step-by-step explanation:
6r + 7 = 13 + 7r
-6r both sides
7 = 13 + r
-7 both sides
r + 6 = 0
-6 both sides
r = -6
Answer:
12 Inches
Step-by-step explanation:
3 ÷ 3 = 1
1 feet is 12 inches
Answer:
B
Step-by-step explanation:
According to the theorem, equal sides have equal angles opposite to them so AB AND AC are equal so x and y are also equal
Answer:
144 cm^3
Step-by-step explanation:
The formula for the volume of a rectangular prism is <em>l x w x h. </em>
Here, the length is 4, the width is 4, and the height is 4.
4 x 4 x 9 =
16 x 9 =
144 cm^3