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3 years ago

Jim ran 12 1/2 miles in 2 1/2 hours. How many hours for 1 mile?

Mathematics

1 answer:

Klio2033 [76]3 years ago

4 0

Answer:

1/5 hours i.e 0.2 hours (which is 12 mins)

Step-by-step explanation:

First note that 12 1/2 = 12.5, and 2 1/2 = 2.5.

To work out how many hours it takes hime to drive one mile, we divide the number of hours (2.5) by the number of miles (12.5),

i.e 2.5 ÷ 12.5

which equals 1/5 = 0.2 hours (= 12 mins).

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3 years ago

Given log Subscript 3 Baseline 2 almost-equals 0. 631 and log Subscript 3 Baseline 7 almost-equals 1. 771, what is log Subscript

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You can use the properties of logarithm to get to the solution.

The approximate value for given term is given by

$log_3(14) \approx 2.402$

<h3>What is logarithm and some of its useful properties?</h3>

When you raise a number with an exponent, there comes a result.

Lets say you get

$a^b = c$

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

$b = log_a(c)$

Some properties of logarithm are:

$log_a(b) = log_a(c) \implies b = c\\\\\log_a(b) + log_a(c) = log_a(b \times c)\\\\log_a(b) - log_a(c) = log_a(\frac{b}{c})$

<h3>Using the above properties</h3>

$log_3(2) + log_3(7) = log_3(2 \times 7) = log_3(14)\\\\0.631 + 1.771 = log_3(14)\\\\log_3(14) = 2.402$

Thus,

The approximate value for given term is given by

$log_3(14) \approx 2.402$

Learn more about logarithm here:

brainly.com/question/20835449

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