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

Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)

Question 400976: Suppose the 4 key on your calculator does not work. How can you use the calculator to multiply the following products?
A. 1874 X 45
B. 427 X 444
Click here to see answer by richard1234(7193)

Question 401113: The sum of one-half of a number, one-ninth of the number, and one-twelfth of the number is twenty-five. What is the original number?
Click here to see answer by algebrahouse.com(1659)

Question 401166: There are 640 acres in a square mile and 5280 feet in a mile. A rectangular one-acre lot has perimeter of 836 feet. Find the dimensions of that lot.
Click here to see answer by Alan3354(69443)

Question 401135: the product of the needed amountof money and 5 yeilds a vaule of $2000. Find the amount. Is x +5 =2000 when solved x =1995 is this correct
Click here to see answer by richard1234(7193)

Question 401272: how long does it take a quarter dropped from the roof of a building 224 feet high to reach the group, (if there were no air resistance by using the formula
t=1/4 square d where d is the distance in feet and t is time in seconds
Click here to see answer by Alan3354(69443)

Question 401306: When 10 cubic feet of water is poured into an empty fish tank (a rectangular prism), the tank becomes � full. If the tank is 2 feet 8 inches wide and 40 inches long, how tall is the tank? Write the answer in terms of feet and inches, rounding to the nearest tenth of an inch.

Click here to see answer by ankor@dixie-net.com(22740)

Question 401338: a square play ground has a perimeter of 72m what is the lenght of each side of the play ground

Click here to see answer by algebrahouse.com(1659)

Question 401331: . The members of a flying club plan to share
equally the cost of a $200,000 airplane. The members
want to find five more people to join the club so that the
cost per person will decrease by $2000. How many members
are currently in the club?

Click here to see answer by stanbon(75887)

Question 401294: Rob can complete his bus route in 4 hours. Joan can complete her route in 2 hours. If they both leave the terminal at 5:00 am and after each completed route return to the terminal, when is the next time they both leave the terminal at the same time?
Click here to see answer by robertb(5830)

Question 401346: Pablo's gas tank is 1/2 full. After he buys 7 gallons of gas, it is 5/6 full. How many gallons can Pablo's tank hold?

Click here to see answer by robertb(5830)

Question 401503: Xuan saved $5340 in 3 years. If he saved $95 per month the first year and a fixed amount per month for the next 2 years. How much did he save per month during the last 2 years?
Click here to see answer by rfer(16322)

Question 401589: If you have a checkboard with 64 spaces and you have a checker that is 1/4 inch thick and you double it every square how tall would the checker stack be on the 64 space ?
Click here to see answer by stanbon(75887)

Question 401599: 27 more than 3 times a number is the same as 6 less than 12 times the number

what is the equation
Click here to see answer by mananth(16946)

Question 401604: using the quadratic formula was is the answer when a=2 b=-5 c=-3
Click here to see answer by mananth(16946)

Question 401605: 32 basketball teams went to a single elimination tournament. How many games were played at the tournament?
I don't really know how to figure this one out. If you do decide to help me, can you please show me how you did it? Many tutors just tell me the answer. I would like to know the steps for future reference. Thank you! :)
Click here to see answer by robertb(5830)

Question 401630: a freight train makes a regular run of 1300km according to its schedule. the train dispatchers want to schedule this run for less than one hour, but the average speed will have to be increased by 2km per hour. what average speed will be required to make the run on the new schedule?

Click here to see answer by mananth(16946)

Question 401556: Topic: Maxima and Minima for functions of 2 variables:
Question: Find the critical points of the question below by determining whether it is a saddle point, relative maximum or minimum:
f(x,y) = xy(1-x-y)
Thank-you for your assistance.
Click here to see answer by robertb(5830)

Question 401767: Explain and give an example of an expression where subtraction is performed before division and the symbols ( ), [ ], or { } are NOT used.
Click here to see answer by rfer(16322)

Question 401803: A store had a sale on t�shirts, during which they sold 186 t�shirts in three sizes, small, medium
and large, and they made $1,892. Smalls sell for $8 each, mediums sell for $10 each,
and larges sell for $12 each. The total number of smalls and larges sold was 30 more than
the number of mediums sold. How many of each size t�shirt was sold?
Click here to see answer by josmiceli(19441)

Question 401823: Explain the difference between these two expressions: "the sum of twice a number and two" and "twice the sum of a number and two".
Click here to see answer by rfer(16322)

Question 401870: If 23 oz. of cereal costs $4.97, how much is one unit?
Click here to see answer by Alan3354(69443)

Question 401979: The total cost of producing a group of bags is $1100. In addition, each bag cost $18 in materials. If the bags are sold for $40, how many bags need to sold to gain a profit of at least $2200?
Click here to see answer by josmiceli(19441)

Question 401986: Working on radicals and do pretty well, but an struggling with a real life application problem that I don't know where to even start with. I've spent a couple hours trying where to go, but am totally stumped.
Using the equation w=Cr^(-2),
Suppose that an object is 100 pounds when it is at sea level (3,963 miles from the center of the earth). Find the value of C that makes the equation true.
I appreciate any help you can give me! Thanks so much!
Click here to see answer by scott8148(6628)

Question 402038: A man invests his savings in two accounts, one paying 6 percent and the other paying 10 percent simple interest per year. He puts twice as much in the lower-yielding account because it is less risky. His annual interest is 3718 dollars. How much did he invest at each rate?
Click here to see answer by robertb(5830)

Question 401837: Please Explain the difference between 2n+2 and 2(n+2). EXPLAIN PLEASE
Click here to see answer by richard1234(7193)

Question 402058: A certain isotope decays at a rate of 2%per 100 years. If t represent the time in years and y represent the amount of the isotope left then the equation for the situation is y=y0e^-0.0002t . In how many years will there be 86% of the isotope left?
Click here to see answer by nerdybill(7384)

Question 402065: what is the domain and range of the inverse of the f(x)= Sqrt(x-4)
Click here to see answer by edjones(8007)

Question 402054: The members of Mrs.Grant's class are standing in a circle; they are evenly spaced and are numbered in order. The student with the number 7 is standing directly across from the student with number 17. how many students are in the class?
Click here to see answer by edjones(8007)

Question 402096: A pharmacist needs to make a 1% hydrocortisone cream. How many grams of 2.5% hydrocortisone cream should be added to 15 grams of cream base (0% hydrocortisone) to make the 1% cream?
Click here to see answer by lwsshak3(11628)

Question 402545: If a person travels 40 miles an hour how far will they travel in 3 hours? in n hours? What is the answer for n?
Click here to see answer by mananth(16946)

Question 402565: 1. In this problem, we analyze the profit found for sales of graphic t-shirts. A demand equation (sometimes called a demand curve) shows how much money people would pay for a product depending on how much of that product is available on the open market. Often, the demand equation is found empirically (through experiment, or market research).
a. Suppose a market research company finds that at a price of p = $25, they would sell x = 60 shirts each month. If they lower the price to p = $15, then more people would purchase the shirts, and they can expect to sell x = 75 shirts in a month�s time. Find the equation of the line for the demand equation. Write your answer in the form p = mx + b. Hint: Write an equation using two points in the form (x, p). Show all your work.
A company�s revenue is the amount of money that comes in from sales, before business costs are subtracted. For a single product, you can find the revenue by multiplying the quantity of the product sold, x, by the demand equation, p.
b. Substitute the result you found from part a. into the equation R = xp to find the revenue equation. Provide your answer in simplified form. Show all your work.

The costs of doing business for a company can be found by adding fixed costs, such as rent, insurance, and wages, and variable costs, which are the costs to purchase the product you are selling. The portion of the company�s fixed costs allotted to this product is $600, and the supplier�s cost for a shirt is $18 each. Let x represent the number of shirts.

c. If b represents a fixed cost, what value would represent b? Show all your work.
d. Find the cost equation for the shirt. Write your answer in the form C = mx + b. Show all your work.
The profit made from the sale of shirts is found by subtracting the costs from the revenue.
e. Find the Profit Equation by substituting your equations for R and C in the equation . Simplify the equation. Show all your work.

f. What is the profit made from selling 33 shirts per month? Show all your work.
g. What is the profit made from selling 27 shirts each month? Show all your work.

h. What is the profit made from selling no shirts each month? Interpret your answer. Show all your work.

i. Use trial and error to find the quantity of shirts per month that yields the highest profit. Show all your work.
j. How much profit would you earn from the number you found in part i? Show all your work.
k. What price would you sell the shirts at to realize this profit? Hint: Use the demand equation from part a. Show all your work.

Click here to see answer by richard1234(7193)

Question 402535: Your teacher is giving a test worth 250 points. There are 68 questions. Some questions are worth 5 points and the rest are worth 2 points. How many of each type of questions are on the test?
Click here to see answer by robertb(5830)

Question 402186: Suppose f(x)equals the greatest integer less than or equal to x. So, for example, f(1.99)=1, f(2)=2, and f(4.87)=4. Find the limit as x tends to 2 from the left.
lim
x→2- f(x)

Click here to see answer by richard1234(7193)

Question 402668: "Express the volume of a cube as a function of its surface area s." I don't understand how the answer is V(s)= ((s)(sqrt(65))/36. I cannot seem to understand how the squareroot comes into play. Thanks for your time.
Click here to see answer by mananth(16946)

Question 402751: Winning Percentage. In a basketball league, the Falcons won 15 of their first 20 games. In order to win 60% of the total number of games, how many more games will they have to play, assuming they win only half of the remaining games?
I was able to come up with the answer of 50 games and 30 wins is 60% but to translate it is where I'm having a problem. Please help me.
Thank you, Nana
Click here to see answer by sudhanshu_kmr(1152)

Question 402782: A grocery store may increase the original price of a product to cover the expenses of running the store.The markup is the amount that is added to the original cost to create the selling price (the price the consumer pays)of the groceries . The percent markup is called the markup rate and is usually expressed as a percent of the original price .Taking the original cost and adding the markup calculates the selling price of an item. The formula S = C + rC can be used to help find the selling price. The selling price,S is equal to the original cost, C,plus the markup rate,r,multiplied by the original cost, C.
A 20-lb turkey has a 35% markup and is selling for a price of $22.50. Use the selling price formula to find the original cost of the turkey. Round to the nearest cent.
This is what I need to solve.
Thank you
Dorian
Click here to see answer by scott8148(6628)

Question 402769: I would really appreciate some help with this one.
The half life of a radio active substance is 125 days. How many days will it take for 82% of the substance to decay?

Click here to see answer by scott8148(6628)

Question 403082: In the 7th grade at the middle school only 1/4 of the students have a study hall. of those that do not have a study hall, 1/6 take band class. of the rest of the students 2/3 take chorus. this leaves 50 students who don't have any of these activities. How many students are there in the 7th grade?
Click here to see answer by solver91311(24713)

Question 403158: There are 310 pounds on the left plate of a scale and 230 pounds on the right plate. Suppose that you must balance the scale by removing 8 pound bags from the left plate and exactly the same number of 4 pound bags from the right plate. How many bags must you remove from each side in order to balance the scale?
Click here to see answer by scott8148(6628)

Question 403261: If a line falls on the points (7, 10) and (4, 8), what is its slope? Enter your answer as a fraction in lowest terms. Use a slash mark ( / ) as the fraction bar.
Click here to see answer by josmiceli(19441)

Question 403300: Factor:
#14.) a^4(to the fourth)-196
#19.) 400-u^2v^4
ASAP!!
Click here to see answer by Alan3354(69443)

Question 403408: If Mike takes 3 hours to make one bicycle and Henry takes 4 hours to make one bicycle, how many hours will it take them to make 7 bicycles together? (I CANNOT set this up correctly, and would appreciate any advice you would share. Thanks for your time.)
Click here to see answer by jim_thompson5910(35256)

Question 403402: a shop sells apples for $1 each. each of these apples is wrapped in a special wrapper. you cn trade 3 of these wrappers for 1 apple. if you have $15 how many apples can you get altogether?
Click here to see answer by richard1234(7193)

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