Answer:
since they are alternate exteriors, we put a equal sign
2x+78=5x+15
next we subtract 78 on both sides
2x+78-78=5x+15-78
2x=5x-63
then we subtract 5x on both sides
2x-5x=5x-5x-63
-3x=-63
after that we divide -3 on both sides
-3x/-3=-63/-3
and the answer is
x=21
Step-by-step explanation:
6x^2+14x-12 is the answer
Answer:
The equation for the profit made on the car wash is y = 5x – 75. Here, y is the profit made and x is the number of cars washed. So if the team washes 0 cars, x will be 0.
y = 5(0) – 75
y = -75
The point that represents this is (0, -75). Here, the value of the y-coordinate of the point is -75. Since it has a negative sign, it means that instead of making a profit, the team suffers a loss. So, if the baseball team washed no cars, it would lose $75.
Step-by-step explanation:
Answer: 720ways, 24ways
Step-by-step explanation:
Given the seven letter words "SYSTEMS", if E is always occurring before M it means E and M will always be together therefore they letter 'EM' will be taken as an entity to five us 6letters i.e SYST(EM)S.
This can then be arranged in 6!ways
6! = 6×5×4×3×2×1 = 720ways
Similarly, if the E somewhere before the M and the three Ss grouped consecutively, this means E and M must always be together as well as the Ss to give (SSS)YT(EM).
This means that the letters in the bracket can be taken as an entity to give a total of 4 entities. This can them be arranged in 4! ways.
4! = 4×3×2×1
4! = 24ways
