Avery has $760 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax. She buys a new bicycle for $239.70. She buys 3 bicycle reflectors for $18.63 each and a pair of bike gloves for $30.79. She plans to spend some or all of the money she has left to buy new biking outfits for $78.84 each. Write and solve an inequality which can be used to determine xx, the number of outfits Avery can purchase while staying within her budget.

Not more than 5 outfits

Step-by-step explanation:

Given

(each)

First, we calculate the amount left.

An outfit costs $78.84 and he plans to buy x outfits.

The inequality is represented as follows:

i.e. the amount to spend on outfits can't exceed $433.62

Divide both sides by $78.84

Since there is no 0.5 outfit, then She can only afford a maximum of 5 outfits to stay within budget.

the final function for the graph becomes x-2=-1. before graphing you solve the equation, where x=1. then graph accordingly.   ( on the x-axis, 1 on the line will possess a vertical line.)

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.