Answer:
232 cars
Step-by-step explanation:
Let's say the number of cars that entered is c.
At 9:00 am, there are a total of 24 + c cars and 64 trucks. We know that this value of 64 represents 1/5 of the total number of vehicles. The total number of vehicles is (24 + c) + 64 = 88 + c. So, we have:
64/(88 + c) = 1/5
Cross-multiply:
88 + c = 64 * 5 = 320
c = 320 - 88 = 232
Thus, the answer is 232 cars.
Note: as 232 doesn't show up in the answer choices, it's possible that the problem was copied correctly.
<em>~ an aesthetics lover</em>
Answer:
4x + 5 = 101
Step-by-step explanation:
<u>Step 1: Determine how much money both have</u>
Aylen: x
Rich: 5 + 3x
<u>Step 2: Write an equation and solve</u>
Aylen + Rich = 101
x + 5 + 3x = 101
<u>Step 3: Solve the equation</u>
x + 5 + 3x = 101
4x = 96
x = 24
Step 4: Determine how much money does Aylan and Rich have
Aylan has $24
Rich has 5 + 3(24) = $77
The answer you are looking for is 40 hours. they gave you the answer in the statement above when they said he gets time-and-a-half for any hours beyond 40. So he only worked 40 regular pay hours and got 4 hours overtime for time-and-a-half.
The equation of the line would be
y = mx+b
where m is the slope, b is the y intercept.
<span>The line will form a triangular region in the first quadrant. Its area would be 1/2 base times height. The height is the y intercept
and the base is y intercept divided by slope. Therefore,</span>
A = b^2/2m
At point (2,5)
5 = 2m+b
Substitute that in the area
A = b^2/5-b
to find the least area, differentiate the area with respect to the height and equate it to 0
dA/db = 0
<span>find b and
use that to find m. Then, you can have the equation of the line.</span>
Answer:
Step-by-step explanation:
-11.6+8.4-15.5+2.8