Answer: 4
Step-by-step explanation:
( f o g ) (3) means f(g(3)) so...
First: plug 3 into g(x) = x^ (2-1)
3^ (2-1) is 3^1 = 3
Next: plug 3 into f(x)= 2^(x-1)
2^(3-1) is 2^(2) > 2×2 = 4
Answer:
2 cups of clay
Step-by-step explanation:
Given data
we are given that 6 cups of water for every 12 cups of clay
i.e
12 cups of clay require 6 cups of water
4 cups of clay will require x cups of water
cross multiply
12x= 4*6
12x= 24
divide both sides by 12
x= 24/12
x= 2cups
Hence 4 cups of water will require 2 cups of clay
Answer:
Step-by-step explanation:
number of side = n =7
Sum of all the angles of given polygon = (n -2)*180 = 5 *180 = 900
x + 140 +133 +145 + 117 + 119 + 125 = 900
x + 779 = 900
x = 900 - 779
x = 121
Answer:
6,452,566
Step-by-step explanation:
This is a common factor problem.
Pencils come in a pack of 12
Erasers come in a pack of 10
First, break the number into their prime factors(the idea is that we will break the number down into its smallest multiples, which are prime numbers):
10 = 2 * 5
12 = 2 * 2 *3
So now we take the unique multiples of each number, and when we multiply them together, we will get the smallest number that both 10 and 12 can be divided into(this is what the problem is asking for)
We have (2*2*3) that comes from 12, and the only unique number that comes from the 10 is (5)
So now, we multiply:
2*2*3*5=60
However, this isn't exactly out answer. Now we have to divide our answer by the number of each this in the pack to know how many packs to buy.
60/12=5 packs of pencils
60/10= 6 packs of erasers
I hope this helps. Let me know if you have any questions!!
