Answer:
14
Step-by-step explanation:
7/12 of 1 hour:
1 hour = 60 min.
7/12 * 60
7 * 5 = 35
Francis ran 2 1/2 miles in 35 min.
2 1/2 = 5/2
5/2 miles = 35 min
x miles = 60 min
(Cross Multiply)
5/2 * 60 = 35x
5 * 30 = 35x
150 / 35 = x
x = 30 / 7 = 4 2/7 miles
Francis ran 4 2/7 miles in one hour.
9514 1404 393
Answer:
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
a^0 = 1 . . . . for a ≠ 0
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And, it is convenient to know the cubes of small integers:
1³ = 1; 2³ = 8; 3³ = 27; 4³ = 64; 5³ = 125
6³ = 216; 7³ = 343; 8³ = 512; 9³ = 729; 10³ = 1000
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1) p^3 × p^5 = p^-12 × p^y
Equating exponents:
3 + 5 = -12 + y
20 = y . . . . . . . . . . . add 12
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2) 64 × 4^5 = 4^3 × 4^5 = 4^(3+5) = 4^8
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3) 10^x = 1 = 10^0
x = 0
A x B x C = 0
Where A and B are integers > 10
Any value multiplied by 0 = 0
Therefore C = 0
