Russell has been training for the Emerald Valley Race. The first week he trained, he ran 5 days and took the same two routes each day. He ran 2 miles around the football field before
school and ran a longer route through his neighborhood after school. By the end of the week,
Russell had run a total of 30 miles.
Which equation can Russell use to find how many miles, x, he ran each day after school?
5x + 2 = 30
2(x + 5) = 30
5(x + 2) = 30
2x + 5 = 30
How many miles did Russell run each day after school?
Write your answer as a whole number or a simplified fraction.
miles

Respuesta :

In maths, Distance is described as the quantity of space between two points, and further calculation can be defined as follows:

Given Expression:

[tex]5x + 2 = 30\\\\2(x + 5) = 30\\\\5(x + 2) = 30\\\\2x + 5 = 30[/tex]

To find:

distance=?

Solution:

[tex]5\ days\ \begin{cases} & \text{ if } \text{before school 2 miles} \\ & \text{ if } \text{after school x miles} \end{cases}[/tex]

[tex]\therefore 5(x+2)=30\\\\[/tex]

[tex]\bold{5(x+2)=30}\\\\\bold{5x+10=30}\\\\\bold{5x=30-10}\\\\\bold{5x=20}\\\\[/tex]

[tex]\bold{x=\frac{20}{4} }\\\\\bold{x=4}[/tex]

Therefore, the final answer is "4 miles".

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