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

Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)

Question 297130: In a box of 40 cookies, 24 of the cookies were round and 20 of them were made of chocolate. If 12 cookies were neither round nor made of chocolate, how many round chocolate cookies were in the box?
(A) 4 (B) 8 (C) 16 (D) 20 (E) 28
Click here to see answer by Theo(3458)

Question 297219: An infectious strain of bacteria increases in number at a relative growth rate of 200% per hour. When a certain critical number of bacteria are present in the bloodstream, a person becomes ill. If a single bacterium infects a person, the critical level is reached in 43 hours. How long will it take for the critical level to be reached if the same person is infected with 16 bacteria? (give answer to two decimals in hours).
Am I on the right track... 16*10^(2.0*43)= 1.6*10^87 ? If I am... how to convert to hours?
Thank you much for your help.
Click here to see answer by Fombitz(13828)

Question 297319: Find all the solutions if 0 degrees < or equal x < 360
2sin^2x - sinx = 1

Click here to see answer by Alan3354(30993)

Question 297320: Show that each of the following is an identity
1+tan^2x / csc^2x = tan^2x

Cos^4x - 2cos^2x + 1 + sin^4x

1+cosx/sinx + sinx/cosx = 1+cosx/sinxcosx
Click here to see answer by Alan3354(30993)

Question 297336: - solve for value of x between 0 degress < or equal x < or equal 90 degress
If sinx = 7/25, find tanx

Click here to see answer by richwmiller(9135)

Question 297324: solve each of the following
1+tan^2x / csc^2x = tan^2x

Click here to see answer by richwmiller(9135)

Question 297370: A number is four less than four times another number. If the product of the two numbers is 63. Find the two numbers.
x-4 4y =63?
set up an equation and solve the problem.
Click here to see answer by richwmiller(9135)

Question 297368: Find three consecutive positive even whole number such that the sum of the square of the two smaller numbers is 20 more than the square of the largest number.
I need to set up an equation and solve.
Click here to see answer by checkley77(12569)

Question 297366: a manufacturer wants to enlarge an existing manufacturing facility such that the total floor area is 1.6 times that of the current facility. The floor area of the current facility is rectangular and measures 250 feet by 160 feet. The manufacturer wants to increase each dimension by the same amount. write the dimensions of the new floor.
Click here to see answer by checkley77(12569)

Question 297396: The area of a rectangle is 20x^2-27x-8. The length is 4x+1. What is the width?
Click here to see answer by richwmiller(9135)

Question 297552: Domain of Logarithmic Functions: Find the domain of each of the following log functions:
A) f(x) log base 6 (x-3)
B) g(x) = log base 2 |x+2|
Click here to see answer by stanbon(57290)

Question 297628: It takes a child 90 seconds to climb the 60m length of an escalator which is not
working. When in operation, the escalator lifts a passenger from bottom to top in 60 seconds. How long does it take the child to cover the 60 meters, if she walks on the moving escalator?
Click here to see answer by richwmiller(9135)

Question 297630: Robert builds a wall made from bricks. Each layer has exactly three more bricks than the layer immediately above it. If the wall has five layers, how many bricks will the top layer have if the total number of bricks in the wall is 80?
Click here to see answer by richwmiller(9135)

Question 297629: In a televised quiz show, one wins 250 points for a correct answer, but looses 150
points for an incorrect answer. One contestant replied to 15 questions and obtained 2150 points. How many correct answers did she give?
Click here to see answer by richwmiller(9135)

Question 297813: simplify the dividend and the divisor until the divisor is a single digit, divide, then round the quotient to the nearest whole number. 2852/387
Click here to see answer by richwmiller(9135)

Question 297886: If one clerk can process 75 pieces of mail in 2 and 1/2 hours, how long will it take eight clerks to process 1620 pieces of mail if all of them work at this same rate?
Click here to see answer by checkley77(12569)

Question 297941: If you are given 100feet of fence, what dimensions would give you the maximum area of a rectangular fenced in garden plot?
Click here to see answer by checkley77(12569)

Question 297941: If you are given 100feet of fence, what dimensions would give you the maximum area of a rectangular fenced in garden plot?
Click here to see answer by JBarnum(2044)

Question 298087: andrew, betty claire, dianna each called a local radie station to enter a contest. In how many different orders could their calls have been received?
Click here to see answer by edjones(7569)

Question 298197: You begin a new job in which you make children’s toys. Because you improve as you
learn how to do your work, each day you can make 2 more toys than the previous day. If you started work on Monday and you made 45 toys during the 5-day work week, how many toys did you make on Thursday?

Click here to see answer by palanisamy(496)

Question 298196: A mathematics contest consists of 26 questions. Seven points are awarded for each
correct answer, and 3 points are deducted for each wrong answer. If a question is omitted, no points are awarded. If Daniel gets a score of 76 on the contest, how many questions did he answer correctly?

Click here to see answer by amoati(11)

Question 298288: The polynomial 0.041h-0.018a-2.69 can be used to estimate the lung capacity, in liters, of a female with height h, in centimeters, and age a, in years. Find the lung capacity of a 50 year old women who is 170 centimeters tall.
Her lung capacity is_ liters?
I am not sure how to solve this polynomial.
Click here to see answer by stanbon(57290)

Question 298305: Can you help me solve this word problem?
Two pipes can fill a large tank in 10 hours. One of the pipes, used alone, takes 15 hours longer than the other to fill the tank. How long would each pipe take to fill the tank alone?
Click here to see answer by ankor@dixie-net.com(15646)

Question 298531: There are 720 dishes that need to be rinsed. John can rinse them in 144 minutes by himself. It will take his friend Bob 72 minutes to rinse these dishes. How long will it take them if they rinse these 720 dishes together?
Click here to see answer by stanbon(57290)

Question 298566: An object's altitude, in meters, is given by the polynomial h + vt - 9.8t2, where h is the height in meters from which the launch occurs, v is the initial upward speed in meters per second, and t is the number of seconds for which the rocket is airborne. A pebble is shot upward from the top of a building 150 meters tall. If the initial speed is 35 meters per second, how high above the ground will the pebble be after 3 seconds? Round results to the nearest tenth of a meter.

Click here to see answer by Alan3354(30993)

Question 298585: two taps can fill a bucket in 2 and 3 minutes respectively. if they are turned on together, how long will theytake to fill the bucket?
Click here to see answer by stanbon(57290)

Question 298713: François is playing on a ladder. He starts out on the middle step. He then goes up 5 steps, down 10, up another 7 and up 9 more steps to the top. How many steps are there on the ladder?

Click here to see answer by richwmiller(9135)

Question 298712: A cat, a fox and a dog share a portion of 450 grams of meat. If two foxes eat as much as three cats and two cats eat as much as a dog, how many grams of meat does the fox eat?

Click here to see answer by mananth(12270)

Question 298780: how much money is saved by buying a car priced at $60000 with a single discount of 15% rather than buying the same car with dicounts of 10% and 5%
Click here to see answer by nyc_function(2733)

Question 298844: if one clerk can process 75 pieces of mail in 2 and 1/2 hours, how long will it take eight clerks to process 1620 pieces of mail if all of them work at this same rate?
Click here to see answer by ankor@dixie-net.com(15646)

Question 298846: a company buys the following 11 computers at $1350 each, 2 printers at $2600 each 60 Boxes of paper at $150 per dozen boxes. what is the total cost of this purchase? can u please explain how u got the answer please thank u.
Click here to see answer by user_dude2008(1861)

Question 298863: a dress whose original price was $185 will be discounted by 35%. if the sales tax will be 8% of the discounted price, what will be the new total cost of the dress?
Click here to see answer by user_dude2008(1861)

Question 298965: 28 children took part in a math league competition. The number of children who
finished behind Raul was twice as large as the number of children who were more
successful than him. In which place did Raul finish?
A. Sixteenth B. Seventeenth C. Eighth D. Ninth E. Tenth

Click here to see answer by mananth(12270)

Question 298979: The fuel consumption rate of automobiles is usually given as the number of litres of gasoline required to travel 100 km. If an automobile can travel 12.5 km on one litre of gas, what is the consumption rate for the automobile?

Click here to see answer by mananth(12270)

Question 298980: Each hour, a wood-harvesting machine cuts the same number of logs and places them
on a pile. At 8 am, there are 13 logs on the pile. At 11 am, the pile has grown to 46 logs. How many logs will the pile contain at 6 pm?

Click here to see answer by stanbon(57290)

Question 298977: A box of apples costs $2,a box of pears costs $3,and a box of plums costs $4.If 8 fruit boxes cost $23 together, what is the largest possible number of them that contain plums?

Click here to see answer by ankor@dixie-net.com(15646)

Question 299092: This word problem is from the section of the chapter dealing with: Inverse and Joint Variation (Please solve showing steps)
The time it takes to get a sunburn varies inversely as the UV rating. At a UV rating of 6 the time it takes to obtain a sunburn can be as little as 15 minutes. Determine the time it will take to get a sunburn when the UV rating is 10.
Click here to see answer by stanbon(57290)

Question 299152: A rancher in Calgary decides to build a silo inside his corral. The rectangular corral measures 22 m by 11 m and the silo's base is circular with a diameter of x meters. Find a polynomial for the remaining area of the corral (in square meters) after the silo is built.
Click here to see answer by nerdybill(6957)

Question 299238: The occupancy percentage of a hotel is 88% for the three summer months and 44%
for the rest of the year’s months. What is the average occupancy percentage for the whole year?
A. 132% B. 66% C. 55% D. 44% E. another answer

Click here to see answer by rajagopalan(158)

Question 299285: In a class of 30, 3 out of 5 children have a dog. All of the other children have cats. How many children have cats?
Click here to see answer by jmeadow(1)

Question 299387: Clair and Anna were both saving for airline tickets to Washington DC. On Dec 1st Clair was $95 short of the amount she needed and Anna was $83 short of the amount she needed. If they combined their money, they had exactly enough for one ticket. How much did the airline ticket cost?
WE're confused because they didn't tell us how much money they had to begin with.
Click here to see answer by unlockmath(1599)

Question 299665: A rock falls from a tower that is 208 feet high. As it is falling, its height is given by the formula h= 208-16t^2. how many seconds will it take for the rock to hit the ground (h=0)?
Click here to see answer by nerdybill(6957)

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