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Yumi and Juan pick up litter along the highway at the same rate. Yumi picks up litter for 3 miles and takes two hours longer than Juan, who picks up litter for 2 miles. If it took Juan x hours, how long did it take Yumi?

6hrs

What are the solutions to the equation w/2w-3=4/w

w = 2 and w = 6

What are the solutions to the equation x-7/x=6

x = -1 and x = 7

Which solution to the equation 1/x-1=x-2/2x2-2 is extraneous

x=1

How many extraneous solutions does the equation below have? 9/n2+1=n+3/4

0

A student solves the following equation for all possible values of x: 8/x+2=2/x-4 His solution is as follows: Step 1: 8(x - 4) = 2(x + 2) Step 2: 4(x - 4) = (x + 2) Step 3: 4x - 16 = x + 2 Step 4: 3x = 18 Step 5: x = 6 He determines that 6 is an extraneous solution because the difference of the numerators is 6, so the 6s cancel to 0. Which best describes the reasonableness of the student's solution?

His solution for x is correct, but in order for 6 to be an extraneous solution, one denominator has to result in 0 when 6 is substituted for x.

What causes a solution to a rational equation to be an extraneous solution?

If a solution results in zero when substituted into the denominator of the equation, the solution is extraneous.

Working alone, it would take Shandra 45 minutes to mow the lawn. To mow the same lawn, also working alone, it would take Kelly 1 hour and 15 minutes. If they work together, the girls believe it will take them 1 hour to mow the lawn. Which best describes the reasonableness of their solution?

Their estimate is longer than the time it will actually take: 1/0.75+1/1.25=1/time to complete together

What is the solution to the equation -3d/d2-2d-8+3/d-4=-2/d+2

d=1

What is the solution to the equation 1/h-5+2/h+5=16/h2-25

h=7

Kent multiplies both sides of the equation below by an expression, Then he moves all the terms to one side of the equal sign in the resulting equation. Which equation must he solve now?

k2-8k+12=0