1. A box of crayons costs $1.75, including tax. Mr. Valentino wants to purchase boxes of crayons for his class and has a $25 budget. Write an inequality to solve for the number of boxes of crayons Mr. Valentino can purchase with his budget. $1.75x ≤ $25 $1.75x ≥ $25 $25x ≤ $1.75 $25x ≥ $1.752. Solve for x: 4 − (x + 2) < −3(x + 4) x < −7 x > −7 x < −9 x > −93. Tony has $727.29 in his checking account. He must maintain a $500 balance to avoid a fee. He wrote a check for $248.50 today. Write and solve an inequality to solve for the least amount of money he needs to deposit to avoid a fee. 727.29 + 248.50 − x ≥ 500; x ≥ $475.79 727.29 + 248.50 − x ≤ 500; x ≤ $475.79 727.29 − 248.50 + x ≥ 500; x ≥ $21.21 727.29 – 248.50 − x ≤ 500; x ≤ $21.214. A cab charges $1.75 for the flat fee and $0.25 for each mile. Write and solve an inequality to determine how many miles Eddie can travel if he has $15 to spend. $1.75 + $0.25x ≤ $15; x ≤ 53 miles $1.75 + $0.25x ≥ $15; x ≥ 53 miles $0.25 + $1.75x ≤ $15; x ≤ 8 miles $0.25 + $1.75x ≥ $15; x ≥ 8 miles5. Eduardo solved the following inequality, and his work is shown below:−5(x + 4) + 21 ≥ −3 + 4(x − 8)−5x − 20 + 21 ≥ −3 + 4x − 32−5x + 1 ≥ 4x − 35−9x ≥ −36x ≥ 4What mistake did Eduardo make in solving the inequality? When dividing by −9, he did not change the ≥ to ≤. He subtracted 4x from both sides when he should have added 5x. He subtracted 1 from both sides when he should have added 36. He did not make a mistake.

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general 4 months ago 7193

Plz show your work and answer quickly. I'll give brainliest!When Jim surveyed 5 sixth-grade students at the community skating rink, he found that only 1 out of the 5 had completed the science project. He knows there are about 160 sixth-grade students in his community, so he infers that around 32 students have finished their science project. Is this a good inference? No, Jim did not make a good inference because his sample is too small and may be biased because he only asked students that were at the rink.No, Jim did not make a good inference because his sample is too small and 32 is not in the same proportion to the population as 1 to 5.Yes, Jim made a good inference because 32 is the same proportion to the population as 1 to 5.Yes, Jim made a good inference because most students at the rink were sixth graders.

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general 4 months ago 4688

A scientist follows this procedure to test whether plants have been performing photosynthesis.Place Plant X in a dark closet and Plant Y on a sunny windowsill. Wait several days, then remove a leaf from each plant.Boil leaves in alcohol to remove the chlorophyll. Add a chemical indicator that detects sugars. (Dark purple = sugars are present; dark orange = sugars are not present)What results will the scientist most likely obtain when placing drops of the indicator on the leaves?Plant X: dark purplePlant Y: dark purplePlant X: dark orangePlant Y: dark purplePlant X: dark orangePlant Y: dark orangePlant X: dark purplePlant Y: dark orange

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general 4 months ago 3585