we are given with two equations: R=143-0.65a for women and R = 165-0.75a for men. In this prblem we are asked the age of a man when R is equal to 135. In this case, we use the second equation and substitute R with 135. In this case, 135 = 165 - 0.75 a; a is equal then to 40 yrs old. In 2, when x is equal to 4, then 0.5*4 + 3 is equal to 5.
Company A : C = 35D + 15....C is total cost and D is number of days
company B : C = 42D + 10...C is total cost and D is number of days
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which company charges less for renting for 6 days
company A :
C = 35(6) + 15 = 225
company B :
C = 42(6) + 10 = 262
so company A charges less when renting for 6 days
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for 10 days...
company A :
C = 35(10) + 15 = 365
company B :
C = 42(10) + 10 = 430
so there would be (430 - 365) = 65 saved when using company A instead of company B
LCM stands for least common multiple. We are being asked to find the lowest multiple that 6 and 15 have in common.
Multiples of a number (n) are integers that are the product of n and another number. Let's list the multiples of both 6 and 15:
6: 6, 12, 18, 24, 30, 36
15: 15, 30, 45, 60, 75, 90
The LCM of 6 and 15 is 30.