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!
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
\(\frac{9!}{4!*2!*2!}=\frac{9*8*7*6*5}{2*2}=3780 \)
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).
