Answer:
Solve by substitution
[y=5/2x-4]
[y= -x+3]
Substitute y = -x +3
[-x+3=5/2x-4]
Isolate x for -x+3=5/2x-4: x=2
For y = -x+3
Substitute x = 2
y= -2+3
Simplify
y=1
The solutions to the system of equations are:
y=1 x=2
Answer:
14/33
Step-by-step explanation:
The total amount of beads is 8+4 = 12. 8 of these are black beads, so that is what we want, so 8/12 or 2/3. For the second one, one black bead is already taken so 8-1 = 7 are left and for the total 12 - 1 = 11 are left, so 7/11. Multiply this by 2/3 and we get 14/33.
The hot tub takes in 1,520 watts everyday to keep its water warm. A kilowatt has 1,000 watts (hence kilo means 1,000). 1,520 divided by 1,000 equals 1.520. However, this isn't free electricity - Each kilowatt costs 8 cents or 0.08 of a dollar. 1.520 x 0.08 = 12.160 or $12.16. We aren't done yet! This hot tub runs for 4 months (and we are assuming these months exactly have 30 days each). 4 x 30 = 120. $12.16 x 120 = $1,459.20. In order to keep the hot tub running, you need to pay 1,459.20 for all the kilowatts of electricity it takes.
Answer:
12^5
Step-by-step explanation:
12^5 means 12*12*12*12*12 (5 twelves)
Answer:
36,000 possible codes.
Step-by-step explanation:
I guess you want the total number of arrangements possible.
The first digit can be any number from 0 to 8. the middle numbers must each be any number from 0 to 9 and the last digit must be 2,4,6 or 8.
So the number of arrangements possible = 9 * 10 * 10 * 10 * 4
= 36,000.
