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2 years ago

joshua wants to run 1 mile. if 1/2laps equals 1/8 mile,how many laps does joshua have to run in order to run 1 mile

Mathematics

1 answer:

Rainbow [258]2 years ago

8 0

Answer:

4 laps

Step-by-step explanation:

we know that

1/2 laps is equals to 1/8 mile

using proportion

Find out how many laps represent 1 mile

Let

x ----> the number of laps that correspond to one mile

$\frac{(1/2)}{(1/8)}\frac{laps}{miles}=\frac{x}{1}\frac{laps}{mile}\\\\x=\frac{8}{2}\\\\x=4\ laps$

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3 years ago

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3 years ago

Condense the following logs into a single log:

mamaluj [8]

QUESTION 1

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We now apply the product rule of logarithm;

$\log_a(m)+\log_a(n)=\log_a(mn)$

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QUESTION 2

The given logarithm is

$8\log_5(x)+\frac{3}{4}\log_5(y)-5\log_5(z)$

We apply the power rule of logarithm to get;

$=\log_5(x^8)+\log_5(y^{\frac{3}{4}})-\log_5(z^5)$

We apply the product to obtain;

$=\log_5(x^8\times y^{\frac{3}{4}})-\log_5(z^5)$

We apply the quotient rule; $\log_a(m)-\log_a(n)=\log_a(\frac{m}{n} )$

$=\log_5(\frac{x^8\times y^{\frac{3}{4}}}{z^5})$

$=\log_5(\frac{x^8 \sqrt[4]{y^3} }{z^5})$

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3 years ago