You have a dance class every three days. today is monday, and you have dance class. in how many more days will you have dance class on monday again? use the lcm to find your answer. then check your answer using the calendar show. and what day will you have dance class on monday again?

7 days in a week, 3 days a rotation.

multiples of 7: 7, 14, 21, 28

multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24

the LCM is 21, because it is the smallest multiple of both numbers. there will be 21 more days until you take dance class on Mondays

Six more days until its Monday next week

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!