An onsite oil change service charges a flat rate of $40.00 per service call and an additional $2.25 per mile fee for travel outside a certain radius. josh budgets $200 per year for oil changes on his vehicle. he lives 7 miles outside the radius. what is the greatest number of oil changes (c) that he can schedule and keep on budget for the year?

c = 3 oil changes

Step-by-step explanation:

The fixed rate for oil change is $ 40

The surplus rate for miles outside the radius is $ 2.25

Josh lives 7 miles of the radius

Therefore an equation for c: The largest number of oil changes that can be scheduled and maintained within the budget for the year is:

oil changes

Therefore, with the budget set Josh can make a maximum of 3 oil changes per year

step-by-step explanation:

20% of 120 is 24. if you subtract 24 from 120 you get 96

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions