Pamela's bank account showed -$120 on Friday. If there were 5 transactions that occurred in her bank account, what was the mean
2 answers:
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Answer:
r=1
Step-by-step explanation:
<u>Ratio of Values </u>
A ratio compares two values by diving them. If the ratio is greater than one, then the value in the numerator is greater than the value in the denominator. The opposite relation gives ratios lower than 1. A ratio of 1 means both values are the same
We have a set of tiles numbered 1 to 30:
1,2,3,4,5,6...,29,30
Note that each odd-numbered tile is followed by an even-numbered tile. It means we have 15 odd tiles and 15 even tiles. The ratio is
r=1
Answer:
It would take Henry 3 hours to clean the office carpets if Mary were not there to help
Step-by-step explanation:
Assume that it takes Henry t hours to clean the carpets
∵ Henry takes 3 hours less than Mary to clean the carpets
∵ Henry takes t hours
- That means add 3 to t to find Mary time
∴ Mary takes t + 3 hours
∵ The rate of Henry is
∵ The rate of Mary is
∵ Working together, they can clean the carpets in 2 hours
- Add the two rates and equate the answer by (their rate together)
∴
Multiply the two denominators and multiply each numerator by the other denominator to add the two fractions of the left hand side
∵
∴
- Add the two fractions in the left hand side
∴
∴
Use the cross multiplication
∵ (t² + 3t)(1) = 2(2t + 3)
∴ t² + 3t = 4t + 6
- Subtract 4t from both sides
∴ t² - t = 6
- Subtract 6 from both sides
∴ t² - t - 6 = 0
- Factorize it into two factors
∴ (t - 3)(t + 2) = 0
Equate each factor by 0 to find t
∵ t - 3 = 0
- Add 3 to both sides
∴ t = 3
OR
∵ t + 2 = 0
- Subtract 2 from both sides
∴ t = -2 ⇒ reject this answer because there is no - ve time
∴ t = 3
∴ Henry would take 3 hours to clean the carpets alone
It would take Henry 3 hours to clean the office carpets if Mary were not there to help