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?Choices:(A) 5x+2=30(B) 2x+5=30(C) 5(x+2)=30(D) 2(x+5)=30How many miles did Russell run each day after school?Write your answer as a whole number or a simplified fraction.____ miles
Q. 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?Choices:(A) 5x+2=30(B) 2x+5=30(C) 5(x+2)=30(D) 2(x+5)=30How many miles did Russell run each day after school?Write your answer as a whole number or a simplified fraction.____ miles
Understand the problem: Understand the problem.Russell ran 2 miles around the football field before school and a longer route, x miles, through his neighborhood after school for 5 days. By the end of the week, he had run a total of 30 miles. We need to find the value of x.
Set up the equation: Set up the equation.Since Russell ran 2 miles before school and x miles after school each day for 5 days, the total distance run in a week is 5 times the sum of the distances run each day.The equation representing this situation is 5(2+x)=30.
Identify the correct equation: Identify the correct equation from the choices.Looking at the choices given, the correct equation that represents the situation is:(C) 5(x+2)=30
Solve for x: Solve the equation for x.Starting with the equation 5(x+2)=30, we first distribute the 5:5×x+5×2=305x+10=30Now, subtract 10 from both sides to isolate the term with x:5x+10−10=30−105x=20Finally, divide both sides by 5 to solve for x:5051
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