7. Traci is running a trail in Hanna Park. She can run one mile in ten minutes. Yoni is running the same trail as Traci. Yoni can run a mile in five minutes
but starts running 20 minutes after Traci started on the trail. If they start the
trail from the same point, how long will it take Yoni to catch up with Tracie? How many miles before before Yoni catches up to Tracie?

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation:

36

step-by-step explanation:

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!