Answer:
A. He will have to work 40 hours to buy the headphones
B. 1200 ≤ 10.25x ≤ 2000 where x is # of hrs worked
He can work anywhere between 118 and 196 hours.
Step-by-step explanation:
A. Divide 399.95 by 10.25 to get 39.01 hours. But since you cant work 0.01 of an hour, you have to round up to the next hour
B. You want to make more than or equal to 1200, so put that in the inequality. You want to make less or equal to 2000, so you put that in the inequality. In the middle, you put 10.25 an hour multiplied by the number of hours, which is a variable.
To solve, I made 10.25x = 1200, and x equaled 117.07, which rounds up to 118 hours because you cant work a 0.07 of an hour. 118 hours is the low number of the spectrum.
To solve for the highest number on the spectrum, you do 10.25x = 2000, and x equals 195.12, but since you cant work 0.12 of an hour, it rounds up to 196 hours.
Answer:
271 miles
Step-by-step explanation:
15.95+0.92 x=265.27
0.92 x=265.27-15.95
.92 x=249.32
x=24932/92=271
Answer:
0.65 square inch
Step-by-step explanation:
Each triangle has an area given by ...
A = 1/2bh = 1/2·(0.5 in)(0.4 in) = 0.10 in²
The square base has an area given by ...
A = s² = (0.5 in)² = 0.25 in²
The total area is that of the square base and 4 triangles:
S = 0.25 in² + 4×0.10 in² = 0.65 in²
The mean is 15.25
12 + 24 + 8 + 17 = 61
Divide that by the total number of variables (4) to get 15.25.
Answer:
Option A.
Step-by-step explanation:
Let M be the milk per gallon.
C be the cookies per dozen.
B be the bundle (one gallon of milk and a dozen cookies ).
Milk can be sold by itself for a profit of $1.50 per gallon. Cookies can likewise be sold at a profit of $2.50 per dozen and bundle is sold for a profit of $3.00 per bundle.
We need to maximize the profits. So, our objective function is
Therefore, the correct option is A.
