Suppose Carson worked as a babysitter for '8' hours one week. What is the minimum number of full hours he would need to work at his fathers business to earn at least $96 that week?

The minimum number of full hours did Carson need to work at his father's business is 8 hours and 15 minutes  

Step-by-step explanation:

Given as :

The total number of hours did Carson spent as baby sitting on one week = 5 hours

The rate at which he earn for baby sitting = $6 per hours

The rate at which he earn as job = $8 per hours

The total amount he will earn that week = $96

Let The minimum number of full hour he need to work = h

Now, According to question

The total amount he will earn that week = total number of hours did Carson spent as baby sitting on one week ×The rate at which he earn for baby sitting  + The rate at which he earn as job × The minimum number of full hour he need to work

I.e $96 = $6 × 5 + $8 × h

Or, $96 = $30 + $8 × h

Or, 8 × h = 96 - 30

Or, 8 × h = 66

∴  h =  

i.e h = 8.25 hours

So, The number of hours = h = 8 hours and 15 minutes

Hence,The minimum number of full hours did Carson need to work at his father's business is 8 hours and 15 minutes  .

38.5

step-by-step explanation:

lets say, first number = r

second number = 3r+7

total = 49

(r)+(3r+7)= 49

4r+7 = 49

4r = 42

r = 42/4

r= 10.5

3r+7 = 3(10.5)+7 = 38.5

hope this

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5