Skip to content
🤔prompts chat🧠
🔍
question:f Albert has to run a total of 99 meters in gym class and the track is 9 meters around, and he has already completed 6 laps around the track, how many more complete laps does he need to run to finish?

answer:Albert has already completed 6 laps around the track, which is a total of 6 * 9 = 54 meters. He needs to run a total of 99 meters, so he has 99 - 54 = 45 meters left to run. Since each lap is 9 meters, he needs to run 45 / 9 = 5 more complete laps. 5 The answer is: 5

question:Find the value of x, if [|x-20| + |x-18| = |2x-36|.]

answer:We can start by breaking the equation into three cases, depending on the signs of x-20 and x-18: Case 1: If x le 18, then |x-20| = 20-x and |x-18| = 18-x, so the equation becomes [(20-x)+(18-x) = |2x-36|.] Simplifying, we get 38-2x = |2x-36|. Since x le 18, we have 2x le 36, so |2x-36| = 36-2x. Substituting, we get 38-2x = 36-2x, which has no solution. Case 2: If 18 le x le 20, then |x-20| = 20-x and |x-18| = x-18, so the equation becomes [(20-x)+(x-18) = |2x-36|.] Simplifying, we get 2 = |2x-36|. Since 18 le x le 20, we have 36 le 2x le 40, so |2x-36| = 2x-36. Substituting, we get 2 = 2x-36, so x = 19. Case 3: If x ge 20, then |x-20| = x-20 and |x-18| = x-18, so the equation becomes [(x-20)+(x-18) = |2x-36|.] Simplifying, we get 2x-38 = |2x-36|. Since x ge 20, we have 2x ge 40, so |2x-36| = 2x-36. Substituting, we get 2x-38 = 2x-36, which has no solution. Therefore, the only solution is x = boxed{19}. The answer is: 19

question:Tyrah has six times as many pencils as Sarah has. Tim has eight times as many pencils as Sarah. If Tyrah has 12 pencils, how many does Tim have?

answer:If Tyrah has 6 times as many pencils as Sarah, and Tyrah has 12 pencils, then Sarah has 12/6 = 2 pencils. If Tim has 8 times as many pencils as Sarah, then Tim has 8*2 = 16 pencils. Therefore, Tim has 16 pencils. 16 The answer is: 16

question:f James earned 4000 in January and twice that amount in February, but 2000 less in March than in February, what is the total amount that James has earned so far this year?

answer:In January, James earned 4000. In February, James earned twice that amount, so he earned 2 * 4000 = 8000. In March, James earned 2000 less than he did in February, so he earned 8000 - 2000 = 6000. To find the total amount James earned for the year, we add up the earnings from each month: 4000 + 8000 + 6000 = 18,000. 18000 The answer is: 18000

Released under the MIT License.

has loaded