Answer:
LCM = 4590
Step-by-step explanation:
1. Find the prime factorization of 306
306 = 2 × 3 × 3 × 17
2. Find the prime factorization of 270
270 = 2 × 3 × 3 × 3 × 5
3. Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2 × 3 × 3 × 3 × 5 × 17
9514 1404 393
Answer:
Step-by-step explanation:
A) If the playing times are to be the same, then the two expressions for playing time will be equal to each other.
Ron = Sam
3 +1.25c = 8 +0.75c
0.50c +3 = 8 . . . . . . . . . . subtract 0.75c from both sides
0.50c = 5 . . . . . . . . . . . subtract 3 from both sides
c = 5/0.50 = 10 . . . . . divide by the coefficient of c
Each would have to complete 10 chores for their playing times to be the same.
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B) When c = 4, we have ...
Ron: 3 +1.25·4 = 3 +5 = 8
Sam: 8 +0.75·4 = 8 +3 = 11
Sam spent the most gaming time if both completed 4 chores.
Answer:
-5/9
Step-by-step explanation:
Slope of line a is,
m = (1-10) / (1-6)
= (-9) / (-5)
= 9/5
Slope of line b is -1/m
-1/m = -1 / (9/5) = -5/9
