Your cell phone plan costs $24.99 per month plus $0.14 for each text message you send or receive. You have at most $29 to spend on your cell phone bill. What is the maximum number of text messages that you can send or receive next month? Correct answer gets brainliest

You can send or receive a maximum of 21 text messages per month.

Step-by-step explanation:

First, you need to take out the number the phone bill costs (24.99)

29 - 24.99 = 4.01

Then, you need to find out how many 0.19 fit into 4.01.

21 * 0.19 = 3.99. Any more than that and it would go over.

cell phone plan = $29.99

Cost per message= $0.14

Money available:$29

we have to write an inequality:

the total cost of the cell phone must be less or equal to the money available

24.99+0.14x≤29

(Where  x is the number of text messages)

solve for  x:

0.14x≤29-24.99

0.14x≤4.01

x≤4.01/0.14

x≤4.01/0.14

x≤26.6

The maximium number of messages you can send or receive is 26

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we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4