Susan and daphne are participating in a walk-a-thon at the local community college track to raise money. susan can walk around the track in 4 minutes. daphne can walk around the track in 6 minutes. susan and daphne started walking at the same time. how many minutes will it be until they complete a lap at the same time?

12 minutes

Step-by-step explanation:

We know that Susan will walk a lap in 4 minutes

Daphne will do it in 6 minutes

We have to find the Least Common Multiple for the minutes each of them will take, and it is a number that both numbers (4 and 6) will get as a resul of multiplying them by another number.

We are going to write down the miltiples of 4

4, 8, 12, 16, 20, 24,...

Now the multiples of 6

6, 12, 18, 24,...

Now we can see that there are several numbers that are multiples of 4 and also of 6 like in this case 12 and 24, but we are looking for the smallest number that is common for both numbers: in this case it is 12.

The reason to use the Least Common Multiple is that we know that Susan will finish a lap everytime multiples of 4 minutes pass, and Daphne will finish a lap at every multiple of 6 so when they have in common a multiple they both will be finishing a lap, in this case it will be Susan´s third lap and Daphne´s second lap but they will be crossing the starting line at the same time. And at 12 minutes it will be the first time they will complete a lap at the same time.

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!

i will pick c put check it over to be sure

step-by-step explanation: