Question

Dennis has less than 70 min. to spend on some homework questions. He spent 10 min. on the first two questions. The rest of the questions will take 52 min. each. Drag and drop the answer into the box. Question Answer What statement describes the solution to this inequality?

Answer 1

Answer: The answer is that the number of questions should be less than 15.

Step-by-step explanation: Given that Daniel has to spend less than 70 minutes on some homework questions. On the first two questions, he already spent 10 minutes, so the time left with Daniel to complete rest of the questions is less than (70-10) mins, i.e., less than 60 minutes.

Also, rest of the questions will take a time of 52 minutes to complete. So, if 'x' be the total number of questions that Daniel has to complete, then we can write the inequality as follows

`(52)/(x-2)<(60)/(x).`

After solving, we get

`(52)/(x-2)<(60)/(x)\\\\\rightarrow 52x>60x-120\\\\\Rightarrow 60x-52x<120\\\\\Rightarrow 8x<120\\\\\Rightarrow x<15.`

Thus, the statement that describes the solution yo the inequality is that the number of questions should be less than 15.