Tyler has $600 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax. He buys a new bicycle for $233.09.
He buys 3 bicycle reflectors for $16.38 each and a pair of bike gloves for $29.13.
He plans to spend some or all of the money he has left to buy new biking outfits for $52.48 each.

Write and solve an inequality which can be used to determine xx, the number of outfits Tyler can purchase while staying within his budget.

I need this asap!

  5 outfits

Step-by-step explanation:

The total of Tyler's purchases will be ...

  233.09 +3(16.38) +29.13 +52.48x ≤ 600

  52.48x ≤ 288.64 . . . . . . . . . subtract 311.36 and simplify

  x ≤ 5.5 . . . . . . . . . . . . . . divide by 52.48

Tyler can buy 5 outfits and stay within his budget.

The number of outfits must be an integer. The largest integer less than 5.5 is 5.

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

43

step-by-step explanation: