What can you say about the relationship between M and P? Which letter is the correct answer?

Mathematics

1 answer:

Dimas [21]4 years ago

6 0

Answer:

Choice C is correct

Step-by-step explanation:

The first step is to re-write the equations in exponential form.

The first equation can be written as;

$\frac{M}{N}=10^{4}$ since the base is 10 and 4 the exponent.

The second equation can be written as;

$\frac{P}{N}=10^{5}$

The second step is to make N the subject of the formula in both equations.

Solving for N from this equation $\frac{M}{N}=10^{4}$ , yields;

$N=\frac{M}{10^{4}}$

Solving for N from the second equation $\frac{P}{N}=10^{5}$ , yields;

$N=\frac{P}{10^{5}}$

Therefore;

$\frac{M}{10^{4}}=\frac{P}{10^{5} }\\\\P=10M$

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