Step-by-step explanation:
Answer:
x = 13
Step-by-step explanation:
BH / YL = HN / LR
28 / 21 = 3x-7 / x+11
cross-multiply:
4x + 44 = 9x - 21
-5x = -65
x = 13
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)
_____
<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:
3(3x^2 + 5)
Step-by-step explanation:
step 1: find out the greatest common factor (GCF) of the number 9 and 15
ex: 9x^2 + 15x (3 * 3x^2 + 3 * 5)
step 2: factor out the common term 3
ex: 3 * 3x^2 + 3 * 5 (3 * 3x^2 + 5)
step 3: simplify the equation
3 * 3x^2 + 5 [3(3x^2 + 5)]
Answer:
(2b-5)(2b+5)
4b^2-25
Step-by-step explanation:
