Tutors Answer Your Questions about Inequalities (FREE)
Question 304943: Suppose a chemist is performing an experiment that requires the ratio of carbon (c) to hydrogen (h) to be greater than 1, but no more than 3. Which inequality describes the range of the ratio?
A. 1 < ch / ch < 3
B. 1 c / h < 3
C. 1 < c / h 3
D. 1 cc / h 3
Click here to see answer by AnlytcPhil(1810)   |
Question 304943: Suppose a chemist is performing an experiment that requires the ratio of carbon (c) to hydrogen (h) to be greater than 1, but no more than 3. Which inequality describes the range of the ratio?
A. 1 < ch / ch < 3
B. 1 c / h < 3
C. 1 < c / h 3
D. 1 cc / h 3
Click here to see answer by ikleyn(53028)  |
Question 1210414: James has given up baking and is now focused on healthier eating. For lunch, he chooses between two meals: pasta or tofu. The table below lists the amount of protein, carbohydrates, and vitamins each meal provides along with the amount of cholesterol each contains. James needs at least 200g of protein, 960g of carbohydrates, and 40g of vitamin C for lunch each month. How many days should he have the pasta meal, and how many days the tofu meal so that he gets the adequate amount of nutrients and at the same time minimizes his cholesterol intake?
Pasta Tofu
Protein 8g 16g
Carbohydrates 60g 40g
Vitamin C 2g 2g
Cholesterol 60mg 50mg
Click here to see answer by ikleyn(53028) |
Question 1167856: The athletic boosters for a local college raise money by selling popcorn at a concession stand. They charge customers $2.25 per box.
The popcorn machine and supplies (unpopped kernels, popping oil, and butter) are provided by a company that charges a fee of $250 per game plus $0.15 per box of popcorn sold. The boosters must supply their own empty boxes to fill. Empty boxes are sold in packages of various quantities, as shown in the table below. Remember that the boosters must purchase the empty boxes in these quantities. For example, if they only needed 20 boxes, they would still need to purchase 75 as that is the smallest amount they come in.
Number of boxes per package
75
200
300
400
Price per box
0.25
0.21
0.19
0.17
The boosters have 40 empty boxes on hand from the last game and will need to buy more for the next game against Oregon. They know from previous experience that they can expect to sell no more than 310 boxes at each game.
Part A: Determine how many new boxes the boosters need to purchase for the next game against Oregon.
Part B: Using the table above, determine how much money the boosters need to purchase the new boxes.
Part C: Set up and solve an inequality to determine how many boxes the boosters need to sell at the next game against Oregon to make a profit (break-even point).
I think I figured out how to calculate part A and B, but am having trouble formulating the inequality to solve.
Click here to see answer by KMST(5328)  |
Question 1210328: A student requires at least three school uniforms and three social clothes. The uniform costs N600 and the social wear costs N360 each. If the student has N3 600 to spend and he decides to spend as much as possible of the N3 600, a) in how many ways can he spend the money? b) Which of these ways uses the much
(MOST, not "much") of the N3600
Click here to see answer by ikleyn(53028) |
Question 1210328: A student requires at least three school uniforms and three social clothes. The uniform costs N600 and the social wear costs N360 each. If the student has N3 600 to spend and he decides to spend as much as possible of the N3 600, a) in how many ways can he spend the money? b) Which of these ways uses the much
(MOST, not "much") of the N3600
Click here to see answer by Edwin McCravy(20075)  |
Question 1210328: A student requires at least three school uniforms and three social clothes. The uniform costs N600 and the social wear costs N360 each. If the student has N3 600 to spend and he decides to spend as much as possible of the N3 600, a) in how many ways can he spend the money? b) Which of these ways uses the much
(MOST, not "much") of the N3600
Click here to see answer by greenestamps(13225)  |
Question 1210328: A student requires at least three school uniforms and three social clothes. The uniform costs N600 and the social wear costs N360 each. If the student has N3 600 to spend and he decides to spend as much as possible of the N3 600, a) in how many ways can he spend the money? b) Which of these ways uses the much
(MOST, not "much") of the N3600
Click here to see answer by mccravyedwin(413)  |
Question 1167808: A rectangular plot of ground is to be enclosed by a fence and then divided down the middle by another fence. The fence down the middle costs Php40.00 per running foot and the other costs Php100.00 and Php 38 400 worth of fencing materials to be used. let x felt be the length of the fence down the middle: express the number of square feet in the area of the plot as a function of x.
Click here to see answer by ikleyn(53028) |
Question 1170192: Bernite is selling candy bars for a school fundraiser. The school paid $20.00 for a box of 15 king-size candy bars and Bernite sells them for $2.00 each. What is the relationship between the amount of candy sold and the amount of money earned?
Click here to see answer by CPhill(1987)  |
Question 1170680: The results of a poll claiming a 4% margin of error indicated that a candidate was favored by 48% of the voters. Write an absolute value inequality representing the percent of voters favoring the candidate. Then solve the inequality to state the range of the candidate's support.
Click here to see answer by CPhill(1987) |
Question 1179843: You are attending Thanksgiving at your family member's house and agreed to bring two side dishes with you; potatoes and corn. You are on a budget though and can only spend $30 in total. You determined that you need at least 10 pounds of food to have enough for all your relatives. Potatoes cost $0.75 per pound and corn costs $1 per pound. The preparation time to peel each pound of potatoes is 15 minutes and to shuck each pound of corn takes 9 minutes. You absolutely hate preparing food and want to minimize the amount of time you need for it. Use the variable "p" to represent number of pounds of potatoes and "c" to represent number of pounds of corn.
a) State what your objective function is, in words, and then write out an equation that represents it.
b) Write out your constraints for the cost and quantity as inequalities. There should be 4 constraints in total.
I'm sorry if I asked that question for the category "Linear equations" and it should be in "Inequalities". Anyway, can you please help me with this homework problem by explaining it step-by-step? Once again, I apologize for my error.
Click here to see answer by ikleyn(53028) |
Question 1180924: you have $60 and a coupon which allows you to take $10 off any purchase of $50 or more at a department store. Write and inequality that describes the possible retail value of the items you can buy if you use the coupon. Write an inequality that describes the different amount of money you can spend if you use the coupon.
Click here to see answer by timofer(113) |
Question 1180924: you have $60 and a coupon which allows you to take $10 off any purchase of $50 or more at a department store. Write and inequality that describes the possible retail value of the items you can buy if you use the coupon. Write an inequality that describes the different amount of money you can spend if you use the coupon.
Click here to see answer by ikleyn(53028) |
Question 1180924: you have $60 and a coupon which allows you to take $10 off any purchase of $50 or more at a department store. Write and inequality that describes the possible retail value of the items you can buy if you use the coupon. Write an inequality that describes the different amount of money you can spend if you use the coupon.
Click here to see answer by CPhill(1987) |
Question 1191311: Part A: Fernando is a student at Walt Disney High School and needs 220 credits to earn his high school diploma. He currently has 124 credits completed. There are 10 learning periods in one school year.
1. How many learning periods would it take for fernando to graduate if he completes three modules per learning period? (Remember that each module is worth one credit.)
2. How many school years would it take for fernando to finish at this rate? (Remember: there are 10 learning periods per school year)
3.How many learning periods would it take Fernando to graduate if he completes five modules per learning period?
4. How many school years would it take for Fernando to finish at this rate?
Click here to see answer by CPhill(1987) |
Question 1197418: Florence is preparing cookies for a charity event and has to ensure that she earns profit to contribute to the charity. Each packet she sells consists of 10 cookies. Her fixed cost is €60 and the material cost for her cookies is €4.1/ with a packaging cost of €0.5N, in which N is the number of packs for every 10 cookies. Find N if Florence sells each packet for €6.50.
Click here to see answer by proyaop(69) |
Question 1209250: The Smiths have saved $25,000 toward the purchase of a new car. If the sales tax is 5%, the purchase of the Smiths' new car before taxes cannot exceed what?
I know the equation is 1.05p< 25,000. What I do not understand is why is the amount 1.05 and not just 0.05 for the 5%.
Click here to see answer by math_tutor2020(3824) |
Question 1209250: The Smiths have saved $25,000 toward the purchase of a new car. If the sales tax is 5%, the purchase of the Smiths' new car before taxes cannot exceed what?
I know the equation is 1.05p< 25,000. What I do not understand is why is the amount 1.05 and not just 0.05 for the 5%.
Click here to see answer by ikleyn(53028) |
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