Answer 4/6 of an acre, or 2/3 acres simplified.
7/12
1/3=4/12
2/3=8/12
7/12>1/3
<span>7/12<2/3
</span>
convert all of these to a common denominator:
7/12 , 1/3 , 2/3
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7/12 = 7/12
1/3 = 4/12
2/3 = 8/12
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place into compound inequality:
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(1/3=4/12) < (7/12=7/12) < (2/3=8/12)
Step-by-step explanation:
n2+5=21
n2 =21-5
n2 = 16
n =16/2=8
Answer:
C. 2.0 < t < 2.5
Step-by-step explanation:
time = distance / speed
The circumference of the lake is given by ...
C = πd = 2π miles ≈ 6.28 miles
Then Johanna's time is ...
(6.28 mi)/(3 mi/h) ≈ 2.09 h
This time is in the interval (2, 2.5), so matches choice C.
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<em>Alternate solution</em>
If we take pi to be 3, then this boils down to ...
2×3/3 = 2 . . . hours
Pi is on the order of 5% more than 3, so her time will be on the order of 5% more than 2 hours, or just above 2, but not as great as 2.5 hours. This sort of estimating can get you to the correct answer without a calculator.
