9514 1404 393
Answer:
(4) 750 < p < 1500
Step-by-step explanation:
The total cost for p people is ...
c = 750 +2.25p
The average cost per person is this total divided by the number of people:
c/p = (750 +2.25p)/p
c/p = (750/p) +2.25
Natasha wants this to be between 2.75 and 3.25:
2.75 < c/2 < 3.25
2.75 < 750/p +2.25 < 3.25 . . . . . . use the expression for c/p
0.50 < 750/p < 1.00 . . . . . . . . . . . subtract 2.25
We can split this to two inequalities to find the limits of p.
<u>Left one</u>
0.50 < 750/p
0.50p < 750 . . .multiply by p
p < 1500 . . . . . . multiply by 2
<u>Right one</u>
750/p < 1
750 < p . . . . . . multiply by p
These bounds on p can be summarized as ...
750 < p < 1500 . . . . matches choice (4)
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<em>Additional comment</em>
Once you realize that the fixed costs will be divided by the number of people attending, the maximum cost you want ($1 more than the per-person charge) will set the minimum number of people. To have the $750 fixed cost contribute only $1 to the cost per person, there must be at least 750 people to share that cost. The only answer choice with a 750 person minimum is (4).
Answer: Choice B) 3/5
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Explanation:
The smaller horizontal side is JM = 15
The larger horizontal side is NQ = 25
The ratio of these corresponding sides is:
small/large = 15/25 = (5*3)/(5*5) = 3/5
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Alternatively,
The smaller vertical side is ML = 18
The larger vertical side is QP = 30
The ratio of these corresponding sides is:
small/large = 18/30 = (6*3)/(6*5) = 3/5
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Either way, the answer is 3/5
What im thinking is this: F(a) = f(b) so have 2 equations written and plug a into one and b in the other
(a-2)^3+8 = a^3-8+8 = a^3
= a^3 = b^3 square root both side = a=b
<span>(b-2)^3+8 = b^3-8+8 = b^3
Thus it is 1:1.</span>
Answer:
If x is an integer, then for values of x ≤ 0 would -x be positive.
General Formulas and Concepts:
<u>Math</u>
Step-by-step explanation:
We know that integers comprise of the number line from -∞ to ∞. We can have numbers like -3, -2, -1, 0, 1, 2 ,3.
If we say that x is an integer, and that -x must be positive, then that means the integer x must be negative, because a negative times a negative is a positive.
∴ x can only be negative integers, thus giving us x ≤ 0.
