Questions on Word Problems: Miscellaneous Word Problems answered by real tutors!

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Question 84067: The measure of a big-screen television is given by the length of a diagonal across the screen. A 36-inch television has a width of 24.4in. Find the height of the screen to the nearest tenth of an inch.

Click here to see answer by Edwin McCravy(8909)

Question 84063: If the basic charge for electricity is $0.0683/kWh, how much will it cost per year to run a 60W porch light, 8 hrs/day, everyday? Please show all work. Thank you. It gets tricky somewhere bteween Joules (J) and kilowatt hours (kWh). Is this even an algebra problem or should I be asking the science tutors?
Click here to see answer by bucky(2189)

Question 84068: The measure of a television screen is given by the length of a diagonal across the screen. A 33-inch big-screen television has a width of 26.4 in. Find the height of the screen to the nearest tenth of an inch.
Click here to see answer by Edwin McCravy(8909)

Question 84066: A 16-foot ladder is leaning against a building. How high on the building will the ladder reach when the bottom of the ladder is 5 ft from the building? Round to the nearest tenth.
Click here to see answer by Earlsdon(6287)

Question 84059: PLEASE HELP ME WITH THESE TWO PROBLEMS I AM IN A BIG "?" WITH THEM. thank you if you can help me.
# 3
A shopkeper orders a total of 56 pounds of cashews and peanuts. If the amount of cashews he orders is 32 pounds less tan the amount of peanuts, then how many pounds of peanuts does he order?

#9
Suppose that you are to cut a piece of ribbon for a wreath that is 120 inches long into two pieces so that one piece is 3 times as long as the other. How long is each piece of ribbon?
Click here to see answer by tutor_paul(490)

Question 84065: How far would a submarine periscope be above the water to locate a ship 5 mi away? The equation for the distance in miles that the lookout can see is d= the square root of 1.5h, where h is the height of feet above the surface of the water. Round to the nearest hundreth.
Click here to see answer by tutor_paul(490)

Question 84104: During the week a man used 500 minutes of internet time and 100 minutes of phone time; his bill was $88. The next week he used 400 minutes of internet time and 150 minutes of phone time; his bill was $76. Find the cost per minute for the internet service. You must state your 2 equations and then your answers.
Click here to see answer by josmiceli(9697)

Question 84151: Solve algebraically using one variable: The first digit in a four digit number is four more than the second and the second is three less than the third. The fourth digit is one less than the third and the sum of the four digits is 21. What is the number? (HINT: first decide which digit you should call 'x'.)

Click here to see answer by venugopalramana(3286)

Question 84146: The sum of two numbers is 94. The second is 6 more then 3 times the first. What are the two numbers.
Click here to see answer by checkley75(3666)

Question 84235: If a lily pad doubles in size everyday and on the 60th day it covers a lake...
On what day did it cover just half of the lake?

Click here to see answer by venugopalramana(3286)

Question 84281: The sum of the real numbers x and y is 11. Their difference is 5. what is the value of xy?
the answer is 24 but I do not understand how to get this please help!!! thank you
-Emalie
Click here to see answer by checkley75(3666)

Question 84307: The diameter of the Milky Way disc is approximately 9 * 10^20 meters. How long does it take light, traveling at 10^16 m/year to travel across the diameter of the Milky Way?
Click here to see answer by checkley75(3666)

Question 84320: When the average daily balance of a customer's checking account falls below $500 in any week, the bank assesses a $5 service charge. The table shows the daily balances of one customer. What must Friday's balance be to avoid the service charge?
Monday $540.00
Tuesday $435.50
Wednesday $345.30
Thursday $310.00
Thanks for your help.
Click here to see answer by tutor_paul(490)

Question 84366: A building is 48 ft. tall. From the top of this building a ball is thrown straight up with an initial velocity of 32 ft. per second, and falls to the ground below. The equation that gives the height "s" of the ball "t" seconds after it is thrown is s = -16t^2 + 32t + 48. Find the maximum height reached by the ball and the time it takes for the ball to hit the ground.
Click here to see answer by funmath(2925)

Question 84343: Can someone give me an example where a practical application of matrices or matrix operations can be used in a real-world situation.
Now What would be some of the challenges that one might experienced using matrix operations? can someone explain it to me please i greatly appreciate it.

Click here to see answer by IamaangelXxX(5)

Question 84447: Change for Twenty
Jeff parked his car in a lot that charged $2.00 fir the first hour and $1.50 for each additional hour. He left the car in the lot for 8 hours. How much change did he receive from a $20.00?
Help set up please
Click here to see answer by josmiceli(9697)

Question 84448: The rental cost of a jet ski from Nola's place is $15.00 per 15 minutes and the cost from Berkmans is $25.00 per half hour. If you plan to rent a jet ski for 2 hours, which is the better deal and by how much?
Click here to see answer by josmiceli(9697)

Question 84488: Isubmitted this one before and the person and I had two totally different answers. I asked the teacher and he gave me some choices to choose from.
The diameter of the Milky Way disc is approximately 9 * 10^20 meters. How long does it take light, traveling at 10^16 m/year to travel across the diameter of the Milky Way?
The choices are 900,000 years, 90,000 years, 9,000 years and 900 years. Ihave to say that I was not evenclose soI am definitely doing something way wrong.Please help?
Click here to see answer by jim_thompson5910(28598)

Question 84458: A taxi cab charges $1.50 for the first 1/5 mile and 30 cents for additional 1/5 mile. Determine the cost of a 10 mile trip?
having problem setting up
Click here to see answer by tutor_paul(490)

Question 84475: Three friends check into a single room in a motel and pay $10 apiece. The room cost $25 instead of $30, so the clerk is sent to the room to give back $5. The friends each take back $1, and the clerk is given a $2 for his trouble. Now each of the friends paid $9, a total of $27, and the clerk received $2. What happened to the missing dollar?
Click here to see answer by bucky(2189)

Question 84449: Cab fare
A taxi cab charges $1.50 for the first 1/5 mile and 30 cents for additional 1/5 mile. Determine the cost of a 10 mile trip?
Click here to see answer by checkley75(3666)

Question 84572: 2. The sum of both digits, of either of two two-digit numbers, in whatever order the digits are written, is 9. The square of either of the digits of either number, minus the product of both digits, plus the square of the other digit is the number 21. The numbers are _______?
a. 36,63 b. 81, 18 c. 27, 72 d. 45, 54 e. none

Click here to see answer by ptaylor(2048)

Question 84669: PLEASE PLEASE. I'M IN DESPERATE NEED OF HELP!
A mosquito population is growing at a rate of 8% each day and the current population is estimated at 200,000. Use y=y sub 0 times e^0.08t as the equation for the mosquito population.
a) how many mosquitoes are there expected to be in 10 days?
b) how many days will it take for the mosquito population to reach one million?

Click here to see answer by bucky(2189)

Question 84676: Please solve this so I can compare it to my answer:
Area of a window. A window is in the shape of a square of side s, with a semicircle of diameter s above it. Write a function that expresses the total area of the window as a function of s.
Click here to see answer by ptaylor(2048)

Question 84789: Hello! I'm stumped on this question, could you please help?

At a movie theater the cashier sold 250 more adult tickets than children's tickets. The adult's tickets were $6.00 each and the children's tickets were $3.50 each. What is the least number of each type of ticket that the cashier had to sell for the total receipts to be ATLEAST $2,750?

Your help would be greatly appreciated! Thank you!
Click here to see answer by Edwin McCravy(8909)

Question 84795: A small company produces both standard and deluxe playhouses. The standard playhouses take 12 hours of labor to produce, and the deluxe playhouses take 20 hours. The labor available is limited to 800 hours per week, and the total production capacity is 50 items per week. Existing orders require the company to produce at least 10 standard playhouses and 15 deluxe playhouses per week. Write a system of inequalities representing this situation, where x is the number of standard playhouses and y is the number of deluxe playhouses. Then graph the system of inequalities
Click here to see answer by scott8148(6628)

Question 84773: Can someone please help me with this type of word problems. thanks
Production Requirements An electronics company produces
transistors, resistors, and computer chips. Each transistor
requires 3 units of copper, 1 unit of zinc, and 2 units
of glass. Each resistor requires 3, 2, and 1 units of the three
materials, and each computer chip requires 2, 1, and 2 units
of these materials, respectively. How many of each product
can be made with the following amounts of materials?
a. 810 units of copper, 410 units of zinc, and 490 units
of glass
b. 765 units of copper, 385 units of zinc, and 470 units
of glass
c. 1010 units of copper, 500 units of zinc, and 610 units
of glass

Click here to see answer by ankor@dixie-net.com(15659)

Question 84858: I have 7 bags of marbles. There are 200 marbles in total. Using the clues below, work out how many marbles are in each bag.
Bag 1 + Bag 2 = 57 marbles
Bag 2 + Bag 3 = 83 marbles
Bag 3 + Bag 4 = 71 marbles
Bag 4 + Bag 5 = 43 marbles
Bag 5 + Bag 6 = 66 marbles
Bag 6 + Bag 7 = 43 marbles
Thank you so much for your help. I tried to figure this out but came to no avail.
Click here to see answer by jim_thompson5910(28598)

Question 84708: would someone help me with the formula for this word problem please. Thank you
Business and Finance. Kevin earned $165 interest for 1 year on an investment of $1500. At the same rate, what amount of interest would be earned by an investment of $2500?
Click here to see answer by ankor@dixie-net.com(15659)

Question 84872: Hello. I've tried this problem but came to no logical solution. Please help.
A monk has a very specific ritual for climbing up the steps to the temple. First he climbs up to the middle step and meditates for 1 minute. Then he climbs up 8 steps and faces east until he hears birds singing. Then he walks down 12 steps and picks up a pebble. He takes one step up and tosses the pebble over his left shoulder. Now, he walks up the remaining steps three at a time which only takes 9 paces. How many steps are there?
Thank you very much for your help.
Click here to see answer by rapaljer(4667)

Question 85088: The daily low temperatures in degrees Fahrenheit for a certain week were –3, 1, 4, –5, –10. What is the range of low temperatures for that week?
Would the answer be 14 degrees fahrenheit?
Click here to see answer by jim_thompson5910(28598)

Question 85090: Divide. -10/0 Would the answer be 0 or undefined or something else?
Click here to see answer by jim_thompson5910(28598)

Question 85091: Determine whether the following is an expression.
z + • u
Would the answer be no?
Click here to see answer by jim_thompson5910(28598)

Question 85225: Suppose a baseball is shot up from the ground straight up with an initial velocity of 32 feet per second. A function can be created by expressing distance above the ground, s, as a function of time, t. This function is s = -16t2 + v0t + s0
• 16 represents ½g, the gravitational pull due to gravity (measured in feet per second 2).
• v0 is the initial velocity (how hard do you throw the object, measured in feet per second).
• s0 is the initial distance above ground (in feet). If you are standing on the ground, then s0 = 0.
a) What is the function that describes this problem?
b) The ball will be how high above the ground after 1 second?
c) How long will it take to hit the ground?
d) What is the maximum height of the ball?

Click here to see answer by stanbon(57377)

Question 85207: The Sun has a luninosity (power output) of 3.86 x 10^23 watts. Using Einstein's equation E=mc^2, how much mass (in kg) does the Sun convert to radiation every day?
Click here to see answer by psbhowmick(529)

Question 85301: the school car wash charged $5 for a car and $6 for a van a total of 86 cars and vans were washed they earned $475 by solving a linear system how much of each were washed?
Click here to see answer by checkley75(3666)

Question 85313: hey,

I'm really stuck on this problem: Jason can lift a small car with the use of a lever. The short end of the steel rod is 8 inches from the fulcrum and the long end is 8 feet from the fulcrum. What is the maximum weight Jason can lift if he weighs 160 pounds.

thanks
Click here to see answer by checkley75(3666)

Question 85302: write let statements and express the following as an equation
"the diffrences between three times the smaller number and one half the larger nummber is 5"
Click here to see answer by checkley75(3666)

Question 85383: Please solve this Problem....

1. A lever 24 meter long balances weights of 96 kg on one end and 48 on the other end.Find the lengths of the two arms of the lever.

Thanks a lot....
Click here to see answer by ptaylor(2048)

Question 85205: Last year Rattner Robotics had $5 million in operating income (EBIT). The company had net depreciation expense of $1 million; its coporate tax rate was 40 percent. The company has $14 million in current assets and $ 4 million in non-interest bearing current liabilities; it has $ 15 million in net plant and equipment. It estimates that it has an after tax cost of capital of 10 percent. Assume that Rattners only noncash item was depreciation.

A. What was the companys net income for the year?
B. What was the companys net cash flow?
C. What was the companys net operating profit after taxes(NOPAT)?
D. What was the companys operating cash flow?
E. If operating capital in the previous year was $24 million what was the companys free cash flow (fcf) for the year?
F.What was the company's economic Value Added(EVA)?

I need help with this and wasnt quite sure which category to place it in. Any help would be greatful.
Click here to see answer by jim_thompson5910(28598)

Question 85494: Venn Diagram
33 U.S. cities were surveyed
16 had baseball
17 had football
15 had basketball
11 had baseball and football
7 had baseball and basketball
9 had football and basketball
5 had all three teams
a) only a football team
b) baseball and football, but not basketball
c) baseball or football
d) baseball or football, but not basketball
e) exactly two teams
Am stuck on this; don't know if this problem should be here but I need help with a venn diagram

Click here to see answer by stanbon(57377)

Question 85495: An account executive receives a base salary plus a commission. On $20,000 in monthly sales, the account executive receives $1800. On $50,000 in monthly sales, the account executive receives $3000.
A.) Determine a linear function that will yield the compensation of the sales executive for a given amount of monthly sales.
B.) Use this model to determine the account executive's compensation for $85,000 in monthly sales.
Click here to see answer by stanbon(57377)

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