Answer:
4
Step-by-step explanation:
Let's find a pattern.
2^0=1
2^1=2
2^2=4
2^3=8
2^4=16
2^5=32
2^6=64
2^7=128
2^8=256
So starting after power of 0, the pattern begins at power=1. The pattern is 2,4,8,6 for the units digit. Since the pattern repeats in 4, then we shall divide the power in question by 4 seeking it's remainder.
Remainder=1 implies unit digit is 2 (see 2^1=2)
Remainder=2 implies unit digit is 4 (see 2^2=4)
Remainder=3 implies unit digit is 8 (see 2^3=8)
Remainder=0 implies unit digit is 6 (see 2^4=16)
2014/4 = 503 + 2/4
So remainder=2 implies unit digit is 4.
let apple juice = x
milk = 2x
fruit punch = 3x
3x + 2x + x = 660
6x = 660
x = 660/6
x = 110 apple juices
2*110 = 220 milks
3*110 = 330 fruit punches
The answer is actually 2187.36. So, rounded, it is 2187
Halving-reduce by half or think what is fifty% of the number or divide by two
doubling-add the number you got to the same number or multiply by two
Halving Ex.:6/2=3
Doubling ex.: 9+9=18 or 6*2=12
1. the answer is 24. think of x as the original amount, and y as the new amount. y times 1.5 is x, and y+12 is x. reverse that to figure out y, which is what we need, and you have x/1.5 = y as well as x-12 = y. Use the equal values method and make an equation x/1.5=x-12. solve this equation to get x, which is 36. to figure out the new amount, y, you need to subtract 12, which would help you get 24 as your final answer.
2. once again, create an equation. let's call team 1 x and team 2 y. team one has 1/4th as many as team 2, so that would be x=1/4y. An easier way to write that is 4x=y. after 6 people quit team two, that would be y-6. after the transfer, that would be y-6-12, and x+12 for the teams. they are equal after these, so y-6-12=x+12. solve this equation to get y-18= x+12. if you recall earlier, y was 4 times x, so substitute that into y to get 4x-18=x+12. Solve the equation to get 10 people on team one originally. your final answer is 10 people.
