Answer:
$544
Step-by-step explanation:
To determine the original price of the DVD player considering that you know that it had a 75% reduction, you can use a rule of three as the price of $136 represents 25% of the original price and with this you can calculate the price that represents 100%:
$136 → 25%
x ← 100%
x=(136*100)/25=$544
According to this, the answer is that the original price of the DVD player was $544.
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:
He is 20 at oldest, or 
Step-by-step explanation:
The first step in finding a possible age is:
Subtract 10 from 51, and you get 41. Divide by 2, and you get about 20.5.
This means Joe is younger than or 20 years old.
<span>hmmm: g maps x onto 3-2sin(x) for all x from 0 to A degrees
g(x) = 3-2sin(x)
the inverse would have to be arcsin (3-x)/2, which only has a radian output between -pi and pi i believe. but this is just from memory</span>