At Alan's auto shop, it takes him minutes to do an oil change and minutes to do a tire change. Let be the number of oil changes he does. Let be the number of tire changes he does. Using the values and variables given, write an inequality describing how many oil changes and tire changes Alan can do in less than an hour ( minutes).

Complete question :

At Alan's auto shop, it takes him 9 minutes to do an oil change and 12 minutes to do a tire change. Let x be the number of oil changes he does. Let y be the number of tire changes he does. Using the values and variables given, write an inequality describing how many oil changes and tire changes Alan can do in less than an hour ( minutes).

9x + 12y < 120

Step-by-step explanation:

Given that:

Time taken for oil change = 9 minutes

Time taken for tire change = 12 minutes

x = number of oil changes ; y = number of tire changes

Total hours = 1 hour = 60 minutes

Number of oil and Tyre changes possible in less than an hour

(Number of oil changes * time taken) + (number of tire changes * time taken) less than 60 minutes

9x + 12y < 120

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

191 students play sports and ninety-seven 10th graders were surveyed.

step-by-step explanation: