Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)
Question 47186: A bricklayer and an electrician together spend 90 hours working on a new house. If the bricklayer earns $12 per hour, the electrician earns $16 an hour, and the owner pays them a total of $1350 for their work, how many hours does each worker spend on the house?
Click here to see answer by atif.muhammad(135)  |
Question 47177: Ineed help solving this word problem.
on a math test, 12 students earned an A. This number is exactly 25%of the total number of students in the class. how many students are in the class?
Would you please help me solve this problem.
Adam tried to compute the average of his 7 test scores. He mistakenly divided the correct sum of all of his test scores by 6, which yielded 84. what is adams correct average test score.
Click here to see answer by jainenderkapoor(61)  |
Question 47245: In a 10-foot-wide alley, two ladders lean against opposite walls. One ladder reaches 30 feet up the wall; the other ladder reaches 20 ft high. The bases of the ladders rest against opposite walls. How high about the ground will the ladders cross?
Click here to see answer by checkley71(8403) |
Question 47331: A candy store sells malted milk balls for $2.50 per pound, and chocolate-covered raisins for $3.75 per pound. How many pounds of each should be used to make a 10 pound mixture that sells for $3.00 per pound?
Click here to see answer by stanbon(75887) |
Question 47658: A man goes into a grocery store and buys a grapefruit and a toy ball. A 7% tax is applied to the price of non-food items. If the total bill is $5.15, including $0.18 in tax on the toy ball, what are the prices of the grapefruit and the ball?
Click here to see answer by josmiceli(19441)  |
Question 47851: A radioactive substance decays in such a way that the amount of mass remaining after t days is given by the function
m(t)= 13e^(-0.015t) where m(t) is measured in kilograms.
a. Find the mass at time t = 0.
m(0) = 13e^(-0.015)(0) = 13 kilograms
b. How much of the mass remains after 45 days?
m(45) = 13e^(-0.015)(45)
= 13(0.509)
= 6.619 kilograms remaining.
Hope this is close,
Thank you very much!!
Click here to see answer by Nate(3500) |
Question 47898: A rectangular enclosure must have an area of at least 900yd^2. If 200yd of fencing is to be used, and the width cannot exceed the length, within what limits must the width of the enclosure lie?
Click here to see answer by pizza(14) |
Question 47401: 1.The electricity costs of a business decreased from 12,00 one year to 10,920 the next year what is the rate of decrease?
2.The total bill was $65.32 with the 15% gratuity already added what was the cost of the actual meal?
Click here to see answer by awhalen(4) |
Question 47401: 1.The electricity costs of a business decreased from 12,00 one year to 10,920 the next year what is the rate of decrease?
2.The total bill was $65.32 with the 15% gratuity already added what was the cost of the actual meal?
Click here to see answer by tsmith5651(7) |
Question 48081: This problem comes from the Accuplacer practice test.
Sarah needs to make a cake and some cookies. The cake requires 3/8 cup of sugar and the cookies require 3/5 cup of sugar. Sarah has 15/16 cups of sugar. Does she have enough sugar, or how much more does she need?
She has enough sugar.
She needs 1/8 of a cup of sugar.
She needs 3/80 of a cup of sugar.
She needs 4/19 of a cup of sugar.
She needs 1/9 of a cup of sugar.
I can get as far as: 3/8 + 3/5 -> 15/40 + 24/40 = 39/40. I know the answer is 3/80C. of Sugar, but I can't figure out how they worked it out. I've tried several variations, but cannot = 3/80.
Click here to see answer by stanbon(75887) |
Question 48117: A kettle full of water is brought to a boil in a room with temperature 20C. After 15 minutes the temperature of the water has decreased from 100C to 75C. Find the temperature after another 10 minutes, and sketch a graph of the temperature function.
Thank you so much! Does this have anything to do with Newton's Law of Cooling and the formula T(t) = Ts + D0e^-kt? My calculator simply will not do this.
Click here to see answer by cowess(34) |
Question 48185: a six passenger plane cruises at 180 mph in calm air. If the plane flies 7 miles with the wind in the same amount of time as it flies 5 miles against the wind, then what is the wind speed?
Click here to see answer by Paul(988) |
Question 48241: The burial cloth of an Egyptian mummy is estimated to contain 59% of the carbon-14 it contained originally. How long ago was the mummy buried? (The half-life of carbon-14 is 5730 years.)
I got:
m(t) = m0e^-(ln2/n)t
0.59 = 1e^-(ln2/5730)t
ln(0.59) = -(ln2/5730)t
t = 5730(ln0.59)/ln2 = 4,362 years ago
Does this seem right?
Thanks for all your wonderful help!
Click here to see answer by stanbon(75887) |
Question 48240: I worked this problem out but would like to check with you if I'm vaguely correct:
The half-life of radium-226 is 1600 years. Suppose we have a 22-mg sample.
a. Find a function that models the mass remaining after t years
Using the model for radioactive decay mt = m0e^-rt:
m0 = 22mg, r=(ln2/1600) = -0.00043
m(t) = 22e^-0.00043t
b. How much of the sample will remain after 4000 years?
t = 4000
m(4000) = 22e^(-0.00043)(4000) = 3.94 mg
c. After how long will only 18 mg of the sample remain?
m(t) = 18
22e^-0.00043t = 18
e^-0.00043t = 9/11
Ln e^-0.00043t = ln 9/11
0.00043t = ln 9/11
t = -(ln(9/11)/0.0043) = 46.7 years
Thanks a million(factored many times) for your help!
Click here to see answer by stanbon(75887) |
Question 48267: Henry can ride his horse at 4 miles per hour and get to the battlefield on time. If he stops for 1 hour to make a speech to his troops, he must ride at 5 miles per hour for the whole trip to get to the battlefield on time. How far is it to the battlefield?
Click here to see answer by checkley71(8403) |
Question 48330: A solar collector is 2.5m long by 2.0m wide. It is held in place by a frame of uniform width around its outside edge. If the exposed collector area is 2.5m^2 , what is the width of the frame, to the nearest tenth of a centimeter?
Click here to see answer by venugopalramana(3286) |
Question 48488: (A) How many times must a die be thrown to be sure that the same number occurs twice?
(B) How many times must two dice be thrown to be sure that the same total score occurs at least six times?
(C) How many times must n dice be sure that the same total score occurs p times?
Thanks
Click here to see answer by longjonsilver(2297)  |
Question 48477: A rectangular garden is to be surrounded by a walkway of constant width. The garden's dimensions are 30 ft by 40 ft. The total area, garden plus walkway, is to be 1800 ft2. What must be the width of the walkway to the nearest thousandth?
Thanks
Click here to see answer by josmiceli(19441) |
Question 48566: CLASSIC PROBLEM - A traveling salesman (selling shoes) stops at a farm in the Midwest. Before he could knock on the door, he noticed an old truck on fire. He rushed over and pulled a young lady out of the flaming truck. Farmer Crane came out and gratefully thanked the traveling salesman for saving his daughter’s life. Mr. Crane insisted on giving the man an award for his heroism.
So, the salesman said, “If you insist, I do not want much. Get your checkerboard and place one grain of wheat on the first square. Then place two grains of wheat on the next square. Then place four grains on the third square. Continue this until all 64 squares are covered with grains of wheat.” As he had just harvested his wheat, Mr. Crane did not consider this much of an award, but he soon realized he made a miscalculation on the amount of wheat involved.
a) How much wheat would Mr. Crane have to put on the 24nd square?
Answer:
Show work in this space.
b) How much total grain would the traveling salesman receive if the checkerboard only had 24 squares?
Answer:
Show work in this space.
c) Calculate the amount of wheat necessary to fill the whole checkerboard (64 squares). How much wheat would the farmer need to give the salesman? Please provide the answer in either scientific notation, or calculate and show all 20 digits.
Answer:
Click here to see answer by Earlsdon(6294) |
Question 48559: Solve the problem, if possible. Round your answer to the nearest tenth, when appropriate.
A book has pages that are 16 cm by 20 cm. The printed matter on a page of the book must cover  . If all margins are to be the same width, how wide should the margins be?
Click here to see answer by Earlsdon(6294) |
Question 48584: Annie wanted to determine the height of a tree in the corner of her yard. she knew that a certain fence by the tree was 4 feet tall at 3P.M , she measured the shadow of the fence to be 2.5 feet tall. The she measured the tree's shadow to be 11.3 feet. what is the height of the tree?
Click here to see answer by stanbon(75887) |
Question 48618: A certain kind of folder was priced at $.50 but found no buyers. The manager of the store decided to reduce the price. Within a few days, she had sold her entire stock of these folders for a total of $31.93. What was the reduced price of the folder and how many did she sell?
Click here to see answer by checkley71(8403) |
Question 48755: Solve the problem, if possible. Round your answer to the nearest tenth, when appropriate.
A book has pages that are 16cm by 20cm The printed matter on a page of the book must cover . If all margins are to be the same width, how wide should the margins be?
Click here to see answer by checkley71(8403) |
Question 48821: In planning for a new item,a manufacturer assumes that the number of items produced x and the cost in dollars C of producing these items are related by a linear equation. Projections are that 100 items will cost$10,000 to produce and that 300 items will cost $22,000 to produce.
Find the equation that relates C and x
Click here to see answer by venugopalramana(3286) |
Question 48965: P dollars is invested at annual interest rate r for 1 year. If the interest is compounded semiannually, then the polynomial P(1+r/2)^2 represents the value of the investment after 1 year. Rewrite this expression without parentheses. Evaluate the polynominal if P=$200 and r=10%.
Thank you!
Click here to see answer by cowess(34) |
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