CubeyThePenguin

\(9 \cdot 15 = 15+15+15+15+15+15+15+15+15 = \boxed{135}\)

(adding fifteen 9 times)

Alternately, you could add 9 fifteen times.

Find the prime factorization of both numbers first.

36 = 2^2 * 3^2

48 = 2^4 * 3

As you can see, 36 and 48 both have 2^2 and 3 as factors, so the GCF is 2^2 * 3 = 12.

\((4\sqrt{3})(6\sqrt{2}) = 12\sqrt{6} \approx \boxed{29.394}\)

To the nearest integer, this is equal to 29.

This problem is asking to factor 49y^2 - 9z^2. Notice that this is a difference of squares: (7y^2 + 3z)(7y^2 - 3z).

1. Zoe and Claire both get on. At the other side, drop Zoe off.

2. Claire returns to the other side and gets out of the boat. Then Kristin goes to the other side.

3. Kristin gets off and Zoe gets back on to go to the other side. Zoe picks up Claire, and all three friends make it to the other side.

\(\frac{x^2 + 8x+16}{x+3} \cdot \frac{x^2-9}{2x+8} = \frac{(x+4)^2}{x+3} \cdot \frac{(x+3)(x-3)}{2(x+4)}= \frac{(x+4)(x-3)}{2} = \frac{x^2+x-12}{2}\)

\(\frac{170}{130} \cdot 100\)

(price of original divided by sale price multiplied by 100 to convert to percent)

The first term of the sequence, a, is 10. The common difference, d, is -5. We can use the formula for an arithmetic sequence.

a + (n-1)d

10 + (n-1)(-5) = -5n+15.

The quilt is a giant square with 5 smaller squares on each side with side length 30. The perimeter is \(4(5(30)) = \boxed{600} \quad \text{cm}.\)

\(x^2 - 6x = (x-3)^2 -9\)