Express 0.75 as a fraction in its lowest terms
1 answer:
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You can treat it as an arithmetic sequence, so multiply the average integer value by the number of integers:
(40+12)/2 × (40 -12 +1) = 26×29 = 754
You can subtract the sum of integers 1–11 (66) from the sum of integers 1–40 (820) to get the sum of integers from 12–40: 820 - 66 = 754.
You can let a graphing calculator do it. (See attached.) This method takes perhaps the least amount of thought. It, too, gets a sum of 754.
(40+12)/2 × (40 -12 +1) = 26×29 = 754
You can subtract the sum of integers 1–11 (66) from the sum of integers 1–40 (820) to get the sum of integers from 12–40: 820 - 66 = 754.
You can let a graphing calculator do it. (See attached.) This method takes perhaps the least amount of thought. It, too, gets a sum of 754.
Answer:
Grace jumps for 9 minutes.
Zoe jumps for 12 minutes.
Step-by-step explanation:
Let the time for which Grace jumps the rope = minutes
Let the time for which Zoe jumps the rope = minutes
As per question statement:
Number of times Grace jumps in one minute = 66
Number of times Zoe jumps in one minute = 56
Number of times Grace jumps in minutes = 66
Number of times Zoe jumps in minutes = 56
As per question statement:
Multiplying equation (1) with 66 and subtracting equation (2) from it:
By equation (1):
Therefore, the answer is:
Grace jumps for 9 minutes.
Zoe jumps for 12 minutes.