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olasank [31]
1 year ago
3

Write and solve an equation for each problem below Darcy earned $5. Samantha earned $30. Samantha earned times as much as Darcy.

Mathematics
1 answer:
ValentinkaMS [17]1 year ago
3 0

The equation is

Let x = Darcy and y = Samantha

y=6x

Solution

let k = times number

k=\frac{30}{5}=6

Answer: Samantha earned 6 times as much as Darcy

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Read 2 more answers
Evaluate M^2 /p^2 for M = 10, N =-5p and P = -2
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<u>Answer: </u>

The solution of \bold{\frac{M^{2}}{P^{2}}} for M = 10, N = -5P and P = -2  is 25

<u>Solution: </u>

From question, given that the value of M is 10 and N is -5p and P is -2

We have to evaluate the value of \frac{M^{2}}{P^{2}},  

By substituting the values of M and N, we get

\frac{M^{2}}{P^{2}} = \frac{10^{2}}{(-2)^{2}}

Expanding \bold{10^{2}}:

Here 10 is the base value and 2 is the exponent value. So the base term 10 is multiplied by itself two times.

10^{2} = 10 \times 10 = 100

Similarly expanding \bold{(-2)^{2}}:

Here -2 is the base term and 2 is the exponent value. So the base term -2 is multiplied by itself two times.  

(-2)^{2} = -2 \times -2 = 4

So the equation \frac{M^{2}}{P^{2}} = \frac{10^{2}}{(-2)^{2}} becomes,

\frac{M^{2}}{P^{2}} = \frac{100}{4}

By dividing 100 by 4 , we get the result as 25

Hence the solution of \bold{\frac{M^{2}}{P^{2}}} when M = 10 and P = -2 is 25

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