Answer:
9656. William McKenzie told me
Step-by-step explanation:
To figure this problem out, we need to divide 2/3 by 3/4.
2/3 / 3/4 = 8/9 or 0.888888 repeating.
Therefore, there are 8/9 of the 3/4 cup servings in 2/3 cup of yogurt.
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.
Answer:
a^3-125
Step-by-step explanation:
(a-5)(a^2+5a+25)
a^3+5a^2+25a-5a^2-25a-125
a^3+5a^2-5a^2+25a-25a-125
a^3-125
You can use the change of base formula to get
and also
In general, the change of base formula is
