Equation:
Total cost = fixed costs + variable costs
2023 = 548 + 29.50x
Solution:
2023 - 548 = 29.50x
(2023 - 548)/29.50 = x
50 = x
Answer:
B. 10
C. All real numbers.
Step-by-step explanation:
6 (2x-4) = 8(x + 2)
Distribute the numbers outside of the factors:
12x - 24 = 8x + 16
Subtract both sides by '8x'
12x - 8x - 24 = 8x - 8x + 16
4x - 24 = 16
Add '24' to both sides:
4x = 40
Divide both sides by 4:
x = 10. Therefore, <u>B. 10</u> is the correct answer.
3(4p - 2) = -6(1 - 2p)
Distribute the numbers similarly to the example before:
12p - 6 = -6 + 12p
Subtract '12p' from both sides:
12p - 12p -6 = -6 + 12p - 12p
0 -6 = -6
Add '6' to both sides:
0 - 6 + 6 = -6 + 6
0 = 0
Therefore, the solution consists of <u>all real numbers.</u>
Answer:
Consider the number of children to be x.
So, 144 coins were divided amongst x children.
For x-3 children, each child would have 16 coins
So, (x-3)*16=144
Solving for x, x-3=144/16
or x-3=9
or x=9+3=12
Answer is 12
The most simplified version would be: