Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)
Question 308815: A survey of fruit tree growers showed the following:
71 grew raspberries 25 grew both raspberries and blueberries
46 grew blueberries 16 grew both raspberries and strawberries
31 grew strawberries 20 grew both blueberries and strawberries
11 grew all three types 7 grew none of these three
(a) How many grew only raspberries?
(b) How many grew only strawberries?
(c) How many grew both strawberries and raspberries, but not blueberries?
(d) How many grew exactly two of these three?
(e) How many fruit tree growers were surveyed?
Click here to see answer by solver91311(24713)  |
Question 308979: Ely paid $15 for a box of tomatoes. She discarded 12% of the total weight as damage and sold the remainder at $0.25 per pound. Her profit was $7. How many pounds of tomatoes did she purchased?
Choices
A:) 120
B:) 130
C:) 150
D:) 100
Click here to see answer by josmiceli(19441)  |
Question 308987: A merchant paid $1,800 for a group of men's hat. He sold all but 5 of the hats at $20 more per hat than he paid, thereby making a profit of $200 on the transaction. How many hats did the merchant buy?
choices:
A:)20
B:)25
C:)30
D:)35
Click here to see answer by edjones(8007)  |
Question 309030: there is a two-digit figure in which one digit is exactly half the other. if the position of both fonts or digits is interchanged, the resultant figure when added with the original figure sum to 99. what is the original figure?
Click here to see answer by mananth(16946)  |
Question 309030: there is a two-digit figure in which one digit is exactly half the other. if the position of both fonts or digits is interchanged, the resultant figure when added with the original figure sum to 99. what is the original figure?
Click here to see answer by mollukutti(30)  |
Question 309314: A survey of 400 people was taken. 223 indicated that they own a jet ski, 172
indicated that they own a sailboat, and 87 indicated that they do not own a jet ski or a sailboat. How many people surveyed own a jet ski and a sailboat?.
a. Not enough information is given.
b. 51
c. 5
d. 82
e. 313
Click here to see answer by stanbon(75887) |
Question 309329: we are interested in demensions of a certain square. a rectangle has length 5 units more than the side of the square and the width half the side of the square. if two areas are equal. What are the squares demensions( w x h)
Click here to see answer by Fombitz(32388)  |
Question 309414: The profit P(x), generated after producing and selling x units of a product is given by the function
P(x) = R(x) – C(x), where R and C are the revenue and cost functions.
Virtual Fido is a company that makes electronic virtual pets. The fixed weekly cost is $3000, and variable costs for each pet are $20.
Answer the following questions and show all work.
a. Let x represent the number of virtual pets made and sold each week. Write the weekly cost function, C, for Virtual Fido.
b. The function R(x) = -x2 + 1000x describes the money that Virtual Fido takes in each week from the sale of x virtual pets. Use this revenue function and the cost function from part (a) to write the weekly profit function, P.
c. Use the profit function to determine the number of virtual pets that should be made and sold each week to maximize profit. What is the maximum weekly profit? Show all work.
Click here to see answer by stanbon(75887) |
Question 309103: At age 30 to save for retirement Rebecca decides to deposit $75 at the end of each month in a IRA that pays 6.1% compounded monthly. Use the formula below for the value of an annuity.
A. How much will she have from the IRA when she retires at age 65
B. Find the interest
A=P[(1+R/N)^(N)(T)-1]/R/N
Click here to see answer by stanbon(75887) |
Question 309433: I think I got the equation right to solve this word problem: You drive to California. On the way, you averaged 10 miles per hour less, and the drive took you 5 extra hours. What was your average speed on thw\e way to California?
This is the formula I used but not sure how to solve it:
1500=(R-10)(T+5)
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 309433: I think I got the equation right to solve this word problem: You drive to California. On the way, you averaged 10 miles per hour less, and the drive took you 5 extra hours. What was your average speed on thw\e way to California?
This is the formula I used but not sure how to solve it:
1500=(R-10)(T+5)
Click here to see answer by stanbon(75887) |
Question 309438: I got this equation so far for this problem but I am at a loss on how to solve it. Here is the word problem:
Your business has the copy machine break down. After having it repaired, you receive a bill for a total of $140 for 8 hours of work. The bill is itemized to show that the full-time mechanic was paid $50 and the part-time mechanic was paid $90. There was more than one thing wrong and you opted to have the easy thing fixed by the parttime mechanic who earns $10 less per hour than the full-time mechanic. How many hours did each worker spend fixing the copier?
My equation began with fulltime xt=50 and parttime (x-10)(8t)=90.
How do I solve this equation?
Click here to see answer by richwmiller(17219)  |
Question 309468: describe how to divide completely a cube birthday cake which is 9.5 inches on a side so that 19 people get the same amount of cake and frosting?
notes: it is possible for a person to receive more than one piece of cake and the frosting cannot be scraped off the cake.
Click here to see answer by JBarnum(2146)  |
Question 309692: The polynomial 0.041h - 0.018a - 2.69 can be used to estimate the lung capacity, in liters, of a female with the height h, in centimeters, and age a, in years. Find the lung capacity of a 60 year old woman who is 160 centimeters tall. (round to the nearest hundredth)
Click here to see answer by jim_thompson5910(35256) |
Question 309766: Joe had a balance of $60 in his account immediately before he deposited his weekly salary. He wrote a check to the electric company for $30, a check to the telephone company for $90, and a check to the cable company for $40. He withdrew the remaining $350 to spend on food and clothes. His friend Kate then paid him $75 she owed.What is Joe’s salary for this week?
(A) $375 (B) $450 (C) $510 (D) $525 (E) $585
Click here to see answer by palanisamy(496) |
Question 309791: "A circle has a diameter of 2 inches. In inches what is the length of the arc intercepted by a central angle of 2 radians?"
I know since the diameter is 2 inches, the radius is 1 inch and i came up with 2 as a answer and wasnt sure if that was right
Click here to see answer by stanbon(75887) |
Question 309849: Could you tell me if I did this problem right. Here is the word problem:
In a study of worker efficiency at Wong Laboratories it was found that the numer of components assembled per hour by the average worker t hours after starting work could be modeled by the formula
N(1) = -3t^3 + 23t^2 + 8t.
a) Rewrite the formula by factoring the right hand side completely.
b) Use the facored version of the formula to find N(3)
This is my solution:
a) N(t)=-3t^3+23t^2+8t
=-t(3t^2-23t-8)
=-t[(3t^2+t)-(24t-8)]
=-t[t(3t+1)-8(3t+1) ]
=-t(t-8)(3t+1)
b) N(3)=-3(3-8)(3×3+1)
=-3(-5)(10)
N(3)=150
Click here to see answer by Earlsdon(6294) |
Question 309926: In a certain lottery, 4 different numbers between 1 and 11 inclusive are drawn. These are the winning numbers. A player selects 4 different numbers between 1 and 11.. What is the probability that the player has all winning numbers?
______
A) 1/24
B) 1/7920
C) 1/330
D) 1/14,641
Click here to see answer by Alan3354(69443)  |
Question 309976: The cost of renting a bus for a class trip is x dollars. Originally, N students were to share the cost equally, but 4 students decided not to go. How much more will it now cost each student to rent the bus?
A x/4
B x/(n-4)
c (x/n-4)–(x/n)
d (x/n)–(x/n-4)
e (x/n) – (x/4)
Click here to see answer by mananth(16946)  |
Question 310316: A point on the outside of the axle of a truck has a circular motion that can be modelled by a sine curve.if you measure distance from the axle's centre to the bottom of the truck, that distance remains constant as long as the truck is on a level piece of road. if the truck goes over a bump, the springs absorb the shock but the truck bounces for a while. a truck is moving so that the axle, which is 6 cm in diameter, rotates at 1 rotation per second. as the truck hits a bump, the spring depresses by 20 cm and then continues to depress by 80% of the previous bounce as it bounces ever half second.
if the middle of the axle is 30 cm from the bottom of the truck, what is the equation that represents the distance from a point on the outside of the axle to the bottom of the truck
Click here to see answer by CharlesG2(834) |
Question 310467: The speed of the current in the Yankaton River is 3 kilometers per hour. If a boat travels 18 kilometers downstream in this river and then returns to its starting point all in 4 1/2 hours, what is the rate of the boat in still water?
Click here to see answer by mananth(16946)  |
Question 310698: As a typist for the Chief of Administration, you are required to type 15 documents. Each document is 12 pages long with 25 lines per page and 10 words per line. Assuming that you type 40 words per minute, how many minutes will it take you to type all 15 documents?
Click here to see answer by texttutoring(324)  |
Question 310698: As a typist for the Chief of Administration, you are required to type 15 documents. Each document is 12 pages long with 25 lines per page and 10 words per line. Assuming that you type 40 words per minute, how many minutes will it take you to type all 15 documents?
Click here to see answer by JBarnum(2146)  |
Question 310732: A data processing unit has four rows of terminals with six terminals in each row. A second unit has nine rows of terminals with five terminals in each row. The number of additional terminals in the second unit is
Click here to see answer by JBarnum(2146)  |
Question 310945: Will you please help me with this word problem? I don't understand how to use pi and write formulas from these problems. A semicircular window of radius 10 inches is to be laminated with a sunblock coating that costs .85 per square inch to apply. What is the total cost of coating the window, to the nearest cent? (use pi=3.14. hint: area of circle is A=pi r^2)
Click here to see answer by Fombitz(32388)  |
Question 310945: Will you please help me with this word problem? I don't understand how to use pi and write formulas from these problems. A semicircular window of radius 10 inches is to be laminated with a sunblock coating that costs .85 per square inch to apply. What is the total cost of coating the window, to the nearest cent? (use pi=3.14. hint: area of circle is A=pi r^2)
Click here to see answer by mollukutti(30)  |
Question 310947: Will you please help me with this problem? For a holiday party, Laura is making a seven layer torte, which consists of seven 8 inch diameter layers with a cream topping on each layer. She knows that one recipe of cream will cover 55 square inches of cake. How many batches of the topping must she make to complete her torte? ( use pi=3.14 as an approx. value) please show work.
Click here to see answer by mananth(16946)  |
Question 310946: Can you please help me with this problem? I'm confused. A square light switch plate is made which measures 4 inches on each side. A square hole measuring 1 inch on each side is left in the center. If the cost to construct the plate is 2.75 per square inch, what is the construction cost? (use A=s^2)
Click here to see answer by mananth(16946)  |
Question 310870: A class containing a number P students has a test average of 70%. Another class containing a number N students has a test average of 92%. When the classes are combined, the new average is 86%. What is the value of P/N?
It's the only problem in my homework assignment I can't solve. I think it should be set up as:
[(P X .70) + (N X .92)]/P + N equals .86
But how do I solve for P or N?
Click here to see answer by Fombitz(32388)  |
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