Answer:
The constant term is the weights rate of change, because the formula never changes.
Answer:
x = 9
Step-by-step explanation:
Step 1: Write equation
6(5 - 2x) + 12 = -66
Step 2: Solve for <em>x</em>
- Distribute 6: 30 - 12x + 12 = -66
- Combine like terms: 42 - 12x = -66
- Subtract 42 on both sides: -12x = -108
- Divide both sides by -12: x = 9
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
6(5 - 2(9)) + 12 = -66
6(5 - 18) + 12 = -66
6(-13) + 12 = -66
-78 + 12 = -66
-66 = -66
Answer:
a) 35, b) 25, c) 60
Step-by-step explanation:
The number of girls is 10 more than the number of boys, so it's a good thing to choose a variable to represent the number of boys.
Number of boys: b
Number of girls: b + 10
Ratio of girls:boys is 7:5, so

"Cross multiply" to get

There are 25 boys. There are 10 more girls, so the number of girls is 35, and the total number of students is 60.
That's a packed classroom!
11.5 because the formula is V=a³