Answer:
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Step-by-step explanation:
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.
Hope this helps!! :)))))))
Answer:
<u>Given</u>:
- R(x) = 59x - 0.3x²
- C(x) = 3x + 14
<u>Find the following</u>:
- P(x) = R(x) - C(x) = 59x - 0.3x² - 3x - 14 = -0.3x² + 56x - 14
- R(80) = 59(80) - 0.3(80²) = 2800
- C(80) = 3(80) + 14 = 254
- P(80) = 2800 - 254 = 2546
