Jeannette is participating in a hot-dog-eating contest. She has already eaten 18 hot dogs but needs to eat more than 36 hot dogs to win. Jeannette is eating 3.2 hot dogs per minute. Which of the following inequalities could be used to solve for x, the number of minutes Jeannette needs to continue eating hot dogs to win the contest?(2 points)

7 answers

Let x represent the number of minutes Jeannette needs to continue eating hot dogs to win the contest.

Since she is eating 3.2 hot dogs per minute, she will eat 3.2x hot dogs in x minutes.

To win the contest, she needs to eat more than 36 hot dogs in total.

So, the inequality that could be used to solve for x is:

3.2x + 18 > 36
Tim's phone service charges $26.61 plus an additional $0.22 for each text message sent per month. If Tim's phone bill was $32.11, which equation could be used to find how many text messages, x, Tim sent last month?(2 points)
Let x represent the number of text messages Tim sent last month.

For each text message, Tim is charged an additional $0.22.

So, the total additional charge for text messages is 0.22x.

In addition to the charge for text messages, Tim's phone service charges $26.61.

Therefore, the total phone bill, $32.11, can be represented by the equation:

0.22x + 26.61 = 32.11
A painter charges $15.72 per hour, plus an additional amount for the supplies. If he made $143.65 on a job where he worked 4 hours, how much did the supplies cost?
Let x represent the cost of the supplies.

The painter charges $15.72 per hour, and he worked for 4 hours, so his total earnings from the hours worked is $15.72 * 4 = $<<15.72*4=62.88>>62.88.

In addition to the earnings from the hours worked, he made $143.65 on the job.

Therefore, the cost of the supplies can be found by subtracting the earnings from the hours worked from the total amount made on the job: $143.65 - $62.88 = $<<143.65-62.88=80.77>>80.77.

So, the supplies cost $80.77.
At their going-out-of-business sale, Bill's Bikes sold 30 bikes and had 52 left. What equation can be used to find what number x isor the number of bikes the store had originally?
Let x represent the number of bikes the store had originally.

The store sold 30 bikes and had 52 left, so the total number of bikes can be represented by the equation:

x - 30 = 52