tertre

Here's a quick way of doing this.

GCF(a,b)*LCM(a,b)=a*b

So, 6*60=360

The product of both numbers should equal 360, example: 36 and 10.

20+1?

Solution:

113 inches=8 miles, solve for 8 inches

1 inch=8/113 miles

8 inches: 8/113*8=64/113=.566 repeats

Let's plug the values of x and y, in.

 (a): y=-3x+1, 2=-3(-1)+1=2=3+1, nope

(b) y=-x+1, 2=1+1, yes, and y=-x+1, -1=-(2)+1, -1=-2+1, yay! 

Thus, (b) is our answer!

Perfect, Gavin! 

Solution:

We can count the number of ways to choose a group of 4 green and 2 red peppers and the number of ways to choose 5 green and 1 red peppers. These are $\binom{5}{4}\binom{10}{2}=5\cdot45=225$ and $\binom{5}{5}\binom{10}{1}=10$. The total number of ways the cook can choose peppers is $\binom{15}{6}=5005$. Therefore, the probability that out of six randomly chosen peppers at least four will be green is $\frac{235}{5005}=\boxed{\frac{47}{1001}}$.

1/2*3/7=3/14

More detailed:

1.

Since there are 6 letters, and 3 of  same letters are repeating, we can easily do: $\frac{6!}{3!}=6*5*4=120$

2. 

Since there are 9 letters, and E is repeating 4 times, N is repeating 2 times, and S is repeating 2 times, the answer is 

$\frac{9!}{4!*2!*2!}=\frac{9*8*7*6*5}{2*2}=3780$

Solution:

the volume of can: 753.6 cm

The diameter of can: 8 cm

So, h=V/pir^2, so plugging the value in, we get 14.99 (rounded).