You exercise 24 hours each month for a year how many hours did you exercise by the end of the year you may be able to do the math mentally thanks to expand notation and the distributive property Please help answer with the calculation with distribution and without distribution.

288 hours

Step-by-step explanation:

So you have 24 per month. so month can be represented by x.

24x= y

Y is the amount of hours.

One year is 12 months. so plug 12 into x

24(12) =y

y= 288

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

1. 3. can also be expressed as (22/7)

2. -4.5

3. 3.6

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