Y = x-4
2x + y = 5
2x + (x-4) = 5
3x - 4 = 5
3x = 9
x = 3
1) we calculate the portion of pool cleaned by Anita in a hour.
1 pool cleaned-----------------8 hour
x-----------------------------------1 hour
x=(1 pool cleaned * 1 hour) / 8 hour=1/8 portion cleaned.
2) we calculate the portion of pool cleaned by Chao in a hour.
1 pool cleaned-----------------6 hour
x-----------------------------------1 hour
x=(1 pool cleaned * 1 hour) / 6 hour=1/6 portion cleaned.
3) we can suggest this equation:
x=number of hour
x(1/8+1/6)=1
(number of hour)*(portion of pool cleaned by Anita in a hour + portion of pool cleaned by Chao in a hour)=1 pool cleaned.
4) we solve this equation:
x(1/8 + 1/6 )=1
1/8+1/6=(3+4)/24=7/24
least common multiple (8,6)=24
x(7/24)=1
x=(1*24)/7
x=24/7≈3.43 (3 hours, 25 minutes, 43 seconds)
Answer:together they cleaned the pool in 3 hours, 25 minutes and 43 seconds.
Answer:
Step 3 they took the square root incorrectly
Step-by-step explanation:
5 ( x-2)^2 +6 = 86
Subtract 6 from each side
5 ( x-2)^2 +6 -6= 86-6
5 ( x-2)^2 = 80
Divide each side by 5
5 ( x-2)^2 /5 = 80/5
(x-2)^2 = 16
Take the square root of each side
sqrt((x-2)^2) = ±sqrt(16)
x-2 = ±4
Answer:
It is D
Step-by-step explanation:
Distribute:
=(4)(5m)+(4)(3)+2m
=20m+12+2m
Combine Like Terms:
=20m+12+2m
=(20m+2m)+(12)
=22m+12
