Draw a diagram to illustrate the problem as shown below.
Let v = speed of the westbound car, mph
Because the eastbound car travels 4 mph faster than the westbound car, its speed is (v+4) mph.
After 2 hours,
the westbound car travels 2v miles west, and the eastbound car travels 2(v+4) miles east.
Because they become separated by 208 miles, therefore
2v + 2(v+4) = 208
4v + 8 = 208
4v = 200
v = 50 mph
The westbound car travels at 50 mph.
The eastbound car travels at v+4 = 54 mph
Answer: The eastbound car travels at 54 mph.
You have two choices.
The minimum possible cost to operate your bat factory for a day is $390,
and there are two quantities of bats that both cost that much.
One possibility:
Produce no bats at all per day. Zero. Nada. None.
Cost = 0.06(0)² - 7.2(0) + 390 = $390 per day.
The other choice:
Produce 120 bats per day.
Cost = 0.06(120²) - 7.2(120) + 390
= 0.06(14,400) - 7.2(120) + 390
= 864 - 864 + 390
= $390 per day.
If you produce any other number of bats in a day ... more than zero
but not 120 ... then it will cost you more than $390 to operate the factory
that day.
Answer:
36 cubic centimeters
Step-by-step explanation:
In this question, we are tasked with calculating the volume of the rectangular prism.
mathematically, that can be obtained by using the formula for the volume of the rectangular prism.
V = Base area * height
from the question, we have the base area as 12 square centimeters and the height as 3 centimeters.
Plugging these values into the equation, the value of the volume is thus 12 * 3 = 36 cubic centimeters
Choice D will create an irrational number when added. This is because a rational number plus a rational number will always be irrational (you can experiment this by trying to add rational numbers to pi). For example, 3 + pi = 6.1415926..... or

.
:)
Answer:
22 of the 95$ ones and 10 of the 125
Step-by-step explanation:
22 times 95 = 2090
10 times 125 = 1250
2090+1250=3340
hope this helped