Answer: 4w - 5 is in simplified form.
Step-by-step explanation:
The other expressions have like terms that can be combined.
Answer:
9(p + 4)
Step-by-step explanation:
One of the unknown variable is p.
First of all, we know that the number is 9 times as big (multiplication) as the new number obtained through the addition of four to p i.e (p + 4).
Translating the word problem into an algebraic expression, we have;
9 * (p + 4) = 9(p + 4)
Simplifying further, we have;
9p + 36
The formula for the surface area of a cylinder is:

Plug in what we know, use 3.14 to approximate for pi(radius is half the diameter, 30/2 = 15):

Simplify:

Subtract 1413 to both sides:

Divide 94.2 to both sides:

So the height is approximately 45 millimeters.
Three equivalent ratios:
16:20
24:30
32:40
Answer:
17, 18, 19, 20
Explanation:
Let the numbers be x, x + 1, x + 2, x + 3
Their sum is equals to 74
x + x + 1 + x + 2 + x + 3 = 74 (group the variables)
x + x + x + x + 1 + 2 + 3 = 74 (simplify)
4(x) + 6 = 74 (subtract both sides by 6)
4x = 68 (divide both sides by 4)
x = 17
Other numbers:
x + 1 = 17 + 1 = 18
x + 2 = 17 + 2 = 19
x + 3 = 17 + 3 = 20