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.

Which statement describes the solution to this inequality?

Drag and drop the answer into the box.

Let x represent the remaining number of questions to be completed. He can complete each of them in 5/2 minutes each; this gives us the expression 5/2x.

He has already spent 10 minutes; this gives us 5/2x+10.

He has less than 70 minutes to spend; this gives us the inequality

5/2x+10<70

Subtract 10 from each side:

5/2x+10-10 < 70-10

5/2x < 60

Divide both sides by 5/2:

5/2x÷5/2 < 60÷5/2

x < 60/1 ÷ 5/2

To divide fractions, flip the second one and multiply:

x < 60/1 × 2/5

x < 120/5

x < 24

ItsTheGame210 ItsTheGame210 · Answer 2 · 2021-02-10T14:50:18+01:00

ItsTheGame210 ItsTheGame210

10-02-2021

Answer:

Dennis can complete fewer than 24 questions.

Step-by-step explanation:

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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. Which statement describes the solution to this inequality? Drag and drop the answer into the box.

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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.

Which statement describes the solution to this inequality?

Drag and drop the answer into the box.