Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)
Question 1189804: There is one bus driver, two coaches, and three teams, each with four dancers going to a competition. Nia writes the expression 1 + 2 + 3 ∙ 4 to represent everyone that will be on the bus and solves it using the following steps:
1 + 2 + 3 ∙ 4
= 3 + 3 ∙ 4
= 6 ∙ 4
=24
A. Nia concludes that 24 people will be on the bus going to the competition. Describe the mistake Nia made when solving her expression. Then write an explanation and draw a picture to help Nia understand how to solve her expression correctly.
B. How would you write this expression if n represents the number of teams?
C. How would this expression be different if there were two coaches for each team? Write an expression and draw a picture to support your expression.
Click here to see answer by math_tutor2020(3816)  |
Question 1189836: the griffen family and the collins family each used their sprinklers last summer. The griffen familys sprinkler was used for 25 hours. the collins familys sprinkler was used for 40 hours. There was a combined total output of 1425 L of water. what was the water output rate for each sprinkler if the sum of thw two rates was 45 L per hour?
Click here to see answer by josgarithmetic(39613) |
Question 1189835: A large sack contains twenty $1 bills, three $2 bills, six $5 bills, fifteen $20 bills, and one $50 bill. You remove bills one at a time from this sack, stopping when you have five of any one denomination. The maximum amount, in dollars, that you can draw out under these conditions is
a) 180 b) 181 c) 184 d) 185 e) 186
Click here to see answer by greenestamps(13195)  |
Question 1189835: A large sack contains twenty $1 bills, three $2 bills, six $5 bills, fifteen $20 bills, and one $50 bill. You remove bills one at a time from this sack, stopping when you have five of any one denomination. The maximum amount, in dollars, that you can draw out under these conditions is
a) 180 b) 181 c) 184 d) 185 e) 186
Click here to see answer by ikleyn(52747)  |
Question 1189837: Four friends decide to meet at 6 pm. They each set their watches to what they think is the correct time, using a clock at home. Unfortunately, all of their clocks show the wrong time. Alice thinks her clock at home is 8 minutes fast when it is really 3 minutes slow; Barney thinks his clock is 9 minutes slow when it is actually 6 minutes fast; Clive thinks his is 3 minutes fast but it's really 4 minutes slow; Dolores thinks hers is 3 minutes slow when it's actually 22 minutes fast; Elisha thinks her clock at home is 7 minutes fast when it is really 7 minutes slow. If they all arrive at the restaurant at 6 pm on their incorrectly set watches, the person who arrives the latest is
A) Alice B) Barney C) Clive D) Dolores E) Elisha
Click here to see answer by ikleyn(52747) |
Question 1189837: Four friends decide to meet at 6 pm. They each set their watches to what they think is the correct time, using a clock at home. Unfortunately, all of their clocks show the wrong time. Alice thinks her clock at home is 8 minutes fast when it is really 3 minutes slow; Barney thinks his clock is 9 minutes slow when it is actually 6 minutes fast; Clive thinks his is 3 minutes fast but it's really 4 minutes slow; Dolores thinks hers is 3 minutes slow when it's actually 22 minutes fast; Elisha thinks her clock at home is 7 minutes fast when it is really 7 minutes slow. If they all arrive at the restaurant at 6 pm on their incorrectly set watches, the person who arrives the latest is
A) Alice B) Barney C) Clive D) Dolores E) Elisha
Click here to see answer by math_tutor2020(3816) |
Question 1189953: Pump A can fill an empty 10,000 gallon tank in 4 hours, and auxiliary pump B can fill the same tank in 8 hours. If there are 4,000 gallons in the tank and no liquid is removed, how long will it take the two pumps working together to fill the tank?
Click here to see answer by ikleyn(52747) |
Question 1189984: Annie, Ben and Claire are training for MATHCOUNTS. On January 1st, they each started to solve a large packet of problems that their coach gave them. Each of them worked at a constant rate. Annie solved six problems each day and finished four days after Ben did. Claire solved three more problems each day than Ben did and finished two days before he did. How many problems were in the packet their coach gave them?
Click here to see answer by greenestamps(13195) |
Question 1190015: 1. You manage a bookstore. Your competitor claims that the average textbook at their bookstore costs less than $100. You want to test this claim. You randomly sample 40 books and get the average cost of $95 and the sample standard deviation of this sample to be $20.
a. Run the hypothesis test at the standard alpha level of 5% and copy and paste the results below. Make sure you show the Ho, Ha, critical value, test statistic, p-values and decision.
b. Summarize your results at the 0.05 alpha level significance level.
Click here to see answer by math_tutor2020(3816) |
Question 1190158: sprint pcs offers a monthly cellular phone plan for $35. it includes 300 anytime minutes and charges $0.40 per minute for additional minutes. the following function is used to compute the monthly cost for a subscriber: c(x) = 35 if 0 < x ≤ 300 0.40x - 85 if x > 300 where x is the number of anytime minutes used. compute the monthly cost of the cellular phone for use of the following anytime minutes: 200
Click here to see answer by ikleyn(52747) |
Question 1190197: Frank hears that the average temperature at a science station in Antarctica one winter is -40°C. He knows he can change the Celsius temperature into Fahrenheit by multiplying the given temperature by 9, adding 160, and then dividing by 5. What temperature should Frank come up with?
a. -104°F
b. -40°F
c. 40°F
d. 104°F
Click here to see answer by Boreal(15235)  |
Question 1190214: . The cost of four chairs and a small table is $648. The cost of six chairs and a large table is $1 196.
The cost of the large table is Twice the cost of the small table. Given that a is the cost, in dollars, of a
chair and b is the cost, in dollars, of a small table
(i) write a pair of simultaneous equations to represent the information given. (2mks)
(ii)calculate the cost of a chair and the cost of a large table.
Click here to see answer by math_tutor2020(3816) |
Question 1190214: . The cost of four chairs and a small table is $648. The cost of six chairs and a large table is $1 196.
The cost of the large table is Twice the cost of the small table. Given that a is the cost, in dollars, of a
chair and b is the cost, in dollars, of a small table
(i) write a pair of simultaneous equations to represent the information given. (2mks)
(ii)calculate the cost of a chair and the cost of a large table.
Click here to see answer by greenestamps(13195) |
Question 1190214: . The cost of four chairs and a small table is $648. The cost of six chairs and a large table is $1 196.
The cost of the large table is Twice the cost of the small table. Given that a is the cost, in dollars, of a
chair and b is the cost, in dollars, of a small table
(i) write a pair of simultaneous equations to represent the information given. (2mks)
(ii)calculate the cost of a chair and the cost of a large table.
Click here to see answer by MathTherapy(10549)  |
Question 1190241: The Math Pumpkin football team played a game against the Math Wizards. They played two halves, each of which lasted twenty-four minutes. The Math Pumpkin team’s time of possession was four minutes more than the Math Wizard’s. How long was the Math Wizard’s time of possession?
Click here to see answer by greenestamps(13195) |
Question 1190259: 2/3 of the beads are red 1/4 are yellow and the rest are blue there are 42 more red beads then blue. How much beads are there in total? I know that the answer is 72. but the problem is I am told to solve it without using algebra. And I cannot find a way to solve it without using an unknown variable.
Click here to see answer by math_tutor2020(3816) |
Question 1190259: 2/3 of the beads are red 1/4 are yellow and the rest are blue there are 42 more red beads then blue. How much beads are there in total? I know that the answer is 72. but the problem is I am told to solve it without using algebra. And I cannot find a way to solve it without using an unknown variable.
Click here to see answer by math_helper(2461)  |
Question 1190264: The Leaning Tower of Pisa in Italy has the following description.
Height: 179 ft.
Distance leans: Height is 10 ft. more than 13 times the distance.
Determine ft. it leans.
Check my calculations, please;
L = feet leaning.
13L + 10 = 179
13L + 10 - 10 = 179 - 10
13L = 178
13L / 13 = 178 / 13
L = 13.692 = 14 ft.
Not sure.
Click here to see answer by Solver92311(821)  |
Question 1190269: You are interested in knowing whether wealthier people are happier. You collected data from fifty people about their incomes and their overall happiness levels on a scale of 1 to 10. Upon analyzing the results, you find that the correlation coefficient has a value of −0.25. On the basis of this data, respond to the following:
How would you interpret the correlation coefficient in terms of strength and direction?
How would the results be affected if you increased the number of subjects in the study to one thousand? Why might that affect the overall correlation?
How important is it to randomly select subjects? Explain in detail using an example of a sample that might not be truly representative of the population.
Click here to see answer by Boreal(15235) |
Question 1190398: The cinema sells boxes of popcorn in two sizes: small and large. A small popcorn
costs $5.50, and a large popcorn costs $7.50. If 300 boxes of popcorn were sold for a
total of $3517.50, how many of each size popcorn were sold?
Click here to see answer by ikleyn(52747) |
Question 1190443: Ashley estimates that there are a marbles in a jar. Harry, who knows the actual number of marbles in the jar, b, notes that Ashley’s estimate is within 15 marbles (inclusive) of the actual number of marbles. Which of the following inequalities represents the relationship between Ashley’s estimate and the actual number of marbles in the jar?
a) -15≤a-b≤15
b) a≤b+15
c) a≥b-15
d) a+b≥15
Click here to see answer by Boreal(15235) |
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