First, you have to do some factorization
60 = {1,2,3,4,5,6,10,12,15,20,30,60}
72 = {1,2,3,4,6,8,9,12,18,24,36,72}
the GCF is 12
now we find the number that you multiply by 12 to get 60 and another number to get 72.
12 x 5 = 60
12 x 6 = 72
now we notice if you add 60 + 72, we can now tell that it also equals (12)(5)+(12)(6)= 12(5+6)
Answer:
length: 200
width: 65
Step-by-step explanation:
length: 3w + 5
width: w
perimeter = 2L + 2W
530 = 2(3w + 5) + 2w
530 = 6w + 10 + 2w
530 = 8w + 10
520 = 8w
w = 65
length: 3w + 5 = 3(65) + 5 = 200
width: w = 65
Answer:
I want to say 50 cars
Step-by-step explanation:
If i am correct, there are more cars than people overall:
tenants to cars
3:5
so when you have 30 tenants you can multiply the cars by ten because that is what you did on the other side.
Answer:
Step-by-step explanation:
Step-by-step explanation:
(2a+3b)(4a²-6ab+9b²
(2a+3b){(2a)²-2a×3b+(3b)²}
Because (a³+b³)=(a+b)(a²-ab+b²)
Therefore,
(2a+3b){(2a)²-2a×3b+(3b)²}
=(2a)³+(3b)³
By substituting the values , we get
- (2a)³+(3b)³
- (2×3)³+(3×(-5))³
- 6³+(-15)³
- 216+(-3375)
- 216-3375
- -3159
