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Inequality word problems
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Write and solve an inequality for each flashcard.
Terms in this set (14)
1.15x≥5.75, x ≥ 5 rolls
If one roll of masking tape costs $1.15, how many rolls can Max buy with at least $5.75?
x + 2>7, x > 5 cups
Lisa is cooking muffins. The recipe calls for more than 7 cups of sugar. She has already put in 2 cups. How many more cups does she need to put in?
4.5x≤18, x ≤ 4 tape measures
Max's employer has at most $18.00 to spend on tape measures for his crew. How many can he buy with that amount if each tape measure costs $4.50?
4x<2.52, x < $0.63
Max buys a package of 4 batteries for under $2.52. What is the price range for each battery?
4x>4.32, x > $1.08
Trent finds masking tape in packages of 4 rolls for over $4.32. What is the cost of one roll in the package?
x - 5≤27, x ≤ $29.00
After paying $5.00 for a salad, Taylor has no more than $27.00 left. How much money did she have before buying the salad?
5x≥40, x ≥ 8 pounds
Matt bought 5 of the same packages and the weight of all five packages started at 40 pounds. How much was the weight of one package?
6x<7.26, x < $1.21
What is the price of one extension cord if Tevin can buy a package of 6 for under $7.26?
8x≤2.40, x ≤ $0.30
A store sells 8-foot boards for at most $2.40. What is the cost per foot?
8x≥40, x ≥ 5 shirts
How many t-shirts can Banning buy with at least $40 if each t-shirt costs $8.00?
x + 22.50>32, x > $9.20
Last Friday Marissa had $22.50. Over the weekend she received some money for cleaning. She now has over $32.00. How much money did she get for cleaning?
x + 55 ≥ 145, x ≥ $90.00
Zach saved $55 toward the purchase of an iPod. The cost of the iPods started at $145. How much more does Zach need to save to buy the iPod?
x/2>24.28, x > $48.46
Dustin and his best friend Jeremy found some money buried in a field. They split the money evenly, each getting more than $24.28. How much money did they find?
x/4>13, x > 52
At a restaurant, Daphaney and her three friends, Amber, Jason and Wilson decided to divide the bill evenly. If each person's part exceeded $13.00, what was the total bill?
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Verified questions
ADVANCED MATH
Rewrite the following arguments using letters to represent the terms, reduce the number of terms, and put the arguments into standard form. Then test the new forms with Venn diagrams or by means of the five rules for syllogisms to determine the validity or invalidity of the original arguments. All schools driven by careerism are institutions that do not emphasize liberal arts. It follows that some universities are not institutions that emphasize liberal arts, for some schools that are not driven by careerism are universities.
ADVANCED MATH
a. After playing the game twice, what is the probability that 1 will have $3? How about$2? b. After playing the game three times, what is the probability that 1 will have $2?
ADVANCED MATH
Using numerical evidence, make a conjecture concerning which positive integers can be expressed as the sum of three squares.
ADVANCED MATH
In the post office example, suppose that each full-time employee works 8 hours per day. Thus, Monday’s requirement of 17 workers may be viewed as a requirement of 8(17) = 136 hours. The post office may meet its daily labor requirements by using both full-time and part-time employees. During each week, a full-time employee works 8 hours a day for five consecutive days, and a part-time employee works 4 hours a day for five consecutive days. A full-time employee costs the post office $15 per hour, whereas a part-time employee (with reduced fringe benefits) costs the post office only$10 per hour. Union requirements limit part-time labor to 25% of weekly labor requirements. Formulaic an LP to minimize the post office’s weekly labor costs.