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

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Question 408626: A mini license plate for a toy car must consist of a letter followed by two numbers. Each letter must be an S, U or N. Each number must be a 3 or 5. Repetition of digits is permitted.
Click here to see answer by richard1234(5390)

Question 408695: Directions: Choose a variable, setup equation, and solve.
Dress socks cost $2.50 a pair more than athletic socks. Randall purchased one pair of dress socks and six pairs of athletic socks for $21.75. Find the price of a pair of dress socks.
I said b = dress socks
b +2.50b = 21.75
That's all I could get and I think it's wrong.
Click here to see answer by richard1234(5390)

Question 408675: In each of the following cases, would the mean or the median probably be higher, or would they be about the same?
1. Ages at which residents of a suburban city die, including everything from infant deaths to the most elderly
2. Shoe sizes of adult women
Click here to see answer by robertb(4012)

Question 408325: You want to fill nine 1-lb tins with a holiday snack mix. You want the mix to contain the three following items: dried apple pieces which cost $2.45 per pound., pecans which cost $1.85 per pound, and dried cherry pieces which cost $0.80 per pound. You must spend $15 and want the mix to contain half as many pounds of cherry pieces as dried apple slices and pecans combined. How many pounds of pecans should you buy?
Click here to see answer by ankor@dixie-net.com(15638)

Question 408753: if a, b, and c are sides of a right trinagle, where c is the hypotenuse and c is constant at 13cm, given that a is increasing at a rate of 3 cm/s, find the rate of change of b in cm/s when b=5cm.
Click here to see answer by richard1234(5390)

Question 408754: the sides of a rectangle increase in such a way that
dz/dt = 1.9
and
dx/dt = 4dy/dt
At the instant when x=8 and y=6
what is the value of dx/dt?
Click here to see answer by robertb(4012)

Question 408579: Use the product rule with g = f to show that if f is differentiable, then
d/dx[f(x)]^2 = 2f(x)f'(x)
Click here to see answer by richard1234(5390)

Question 408767: It was found that 60% of Americans victims of health care fraud are senior citizens. If 10 victims are randomly selected, find the probability that exactly 3 are senior citizens.
Click here to see answer by robertb(4012)

Question 408774: The length of a ectangle is twice the width. The area is 722yd^2. Find the lenght and the width.
The length?______
the width?_______

Click here to see answer by Adrish(44)

Question 408782: tHE NUMBER OF TICKETS SOLD EACH DAY FOR AN UPCOMING PERFORMANCE OF HANDELS MESSIAH IS GIVEN BY N(x)=-0.5x^2+11x+15, where x is the number of days since the concert was first announced. When will daily ticket sales peak and how many tickets will be sold that day?
Tickets sales will peak _______ days af ter thec onvert was first announced.
The number of tickets sold on that day will be ______
(round to the nearest integer)
Click here to see answer by graphmatics(170)

Question 408785: if 6 donuts cost $7.80than how much does 1 donut cost
Click here to see answer by bobbyjoebob(2)

Question 408901: When 16 litres are added to a gas tank which is 1/2 full, the tank is 2/3 full. Find the capacity of tank in litres
Click here to see answer by ewatrrr(10682)

Question 408898: If the golden ration is 8 to 5. If the length of a rectangular painting is 2ft longer than its width, then for what dimensions would the length and width have the golden ratio?
Click here to see answer by ewatrrr(10682)

Question 408882: A photographer is taking a familt portrait of a family. Eight members of the family are to be in picture.The photographer wants three people to be seated in front and the remaining five to be standing behind them.How mant ways can the photographer arrange the people in the three seats if the order that they are seated is important.
Click here to see answer by ewatrrr(10682)

Question 408976: One candle will burn up completely in 4 hours, while a second candle of equal length requires 5 hours to burn up completely. If the candles are lit at the same time, how long will they burn before one is exactly three times as long as the other?
Click here to see answer by scott8148(6628)

Question 408985: amy paid $94.17 for a pair of running shoes during a 15%-off sale. what was the regular price?
Click here to see answer by checkley79(3050)

Question 409124: Bob has 60 coins consisting of quarters and dimes. The coins combined value is $9.45. Find out how many quarters and how many dimes. How do i set this up?
Click here to see answer by josmiceli(9661)

Question 408979: Mr. Russo takes three minutes less than Mr. Lloyd to pack a case when each works alone. One day, after Mr. Russo had spent six minutes in packing the case, the boss called him away, and Mr. Lloyd finished packing the case in four more minutes. How many minutes would it take Mr. Russo alone to pack the case?
Click here to see answer by ankor@dixie-net.com(15638)

Question 408928: The cardinal number of the set {cow, horse, goat, chicken, rooster} is _________.

Click here to see answer by richard1234(5390)

Question 409276: If twice a number is divided by -5, the result is 4. Construct the equation AND then solve the equation for the number.
Click here to see answer by solver91311(16868)

Question 409281: A baseball diamond is a square with side 90ft. a batter hits the ball and runs toward first base with a speed of 26 ft/sec. At what rate is his distance from second base decreasing when he is halfway to first base?
I keep getting the answer -10.7ft/sec, but the correct answer that was given was 11.6ft/sec...I dont understand what I'm doing wrong?!
Click here to see answer by lwsshak3(6472)

Question 409508: the volume V of a right circular cone varies jointly as the square of the radius r and the height h. Tell what happens to V (volume) when r (radius) is doubled
Click here to see answer by MathLover1(6623)

Question 409525: eddie is flying a jet against the wind on a 330 mile trip.flying with the same wind speed,eddie could fly a 550 mile trip in the same amount of time.If eddie's jet flies at 220 miles per hour in still air,what is the speed of the wind?
Click here to see answer by josmiceli(9661)

Question 409692: A two-digit number is four times the sum of its digits. The tens digit is 3 less than the units digit. What is the number?
Click here to see answer by edjones(7569)

Question 409424: The number x is the harmonic mean of a and b if (1/x) is the average of (1/a) and (1/b). The harmonic mean of two numbers is 8. If one of the numbers is 5, find the other number.
Click here to see answer by richard1234(5390)

Question 409855: sam invested $2000 at 5.24% annual interest and $3000 at 8.5% annual interest. What percent is he earning on total investment?
Click here to see answer by fractalier(2101)

Question 410054: Is there a strategy which explains the step-by-step procedure for solving algebraic word problems?

Click here to see answer by ewatrrr(10682)

Question 409510:
Click here to see answer by tazman11(1)

Question 410278: Solve using the substitution method. Show your work. If the system has no solution or an infinite number of solutions, state this.
10x – 4 = 2y
2y – 10x = 2
Click here to see answer by rfer(12647)

Question 410283: Terri is two years older than Ginnie. Joan is twice Ginnie's age. How old is Ginnie if the sum of the squares of the three ages is 420?
Click here to see answer by josmiceli(9661)

Question 410401: A train travels 600 mi. in the same time that a truck travels 520 mi. Find the speed of each vehicle if the trains average speed is 8 mph. faster than the truck's.

Click here to see answer by scott8148(6628)

Question 410466: b. The water line is given by the equation or y minus negative two over (three multiplied by x) minus 12.

Imagine you want to put a pink flamingo lawn ornament in your backyard. You want to avoid placing it directly over the water line in case you need to excavate the line for repairs in the future. Could you place it at the point (-4,-10)?

Click here to see answer by Theo(3458)

Question 410663: A test grader can read an essay in 1 2/3 minutes. How many essays can be read in 400 minutes?
Click here to see answer by stanbon(57246)

Question 410672: Laura Shawhan has a pumpkin patch with 12 rows of pumpkin plants. There are 8 rows?
with 90 pumpkins each and 4 rows with 92 pumpkins each. How many pumpkins does Laura have?

1088 pumpkins
202 pumpkins
3640 pumpkins
2184 pumpkins
Click here to see answer by ewatrrr(10682)

Question 410680: How do I set-up/solve this problem? Please help me.
The half-life of the radioactive isotope gallium-70 is 20 minutes. If the initial amount of gallium-70 is 25 milligrams, when will 10 milligrams be left?
Click here to see answer by scott8148(6628)

Question 410761: The baseball team anf the softball team had fundraisers to buy supplies for their trip to the championship game. The baseball team spent $135 buying six cases of juice and one case of bottled water. The softball team spent $110 buying four cases of juice and two cases pf bottled water. How Much did a case of juice cost? How muuch did a case of bottled water cost? (could you also explain how you got the answer?)
Click here to see answer by josmiceli(9661)

Question 410776: Rachelle spends 330 min/wk exercising. Her ratio of time spent on aerobics to time spent on weight training is 6 to 5. How many minutes per week does she spend on aerobics? Howmany miutes per week does she spend on weight training? (could you also explain how you got the answer?)
Click here to see answer by stanbon(57246)

Question 410834: I am HORRIBLE with percents, so if you can please help, please and thanks!
Thirty-three pints of acid solution contain 3 pints of pure acid. Find the number of pints of pure acid that must be added to the 33 pints so that the resulting solution is 25% pure acid.
Click here to see answer by stanbon(57246)

Question 410642: a cars radiator contains 12 L of antifreeze at 25% concentration. how many liters must be drained and then replaced by pure antifreeze to bring the concentration to 50%
Click here to see answer by ankor@dixie-net.com(15638)

Question 410882: Suppose you bought supplies for a party. Three rolls of streamers and 15 balloons cost $30. Later, you bought 2 rolls of streamers and 4 baloons for $11. How much did each roll of streamers cost? How much did each balloon cost? (could you also explain how you got the answer?)
Click here to see answer by stanbon(57246)

Question 410881: Suppose you invest $1530 in equipment to put your school logo on T-shirts. You buy each T-shirt for $3. After you have placed the logo on a shirt, you sell the shirt for $20. How many T-shirts must you sell to break even? (could you also explain how you got the answer?)
Click here to see answer by josmiceli(9661)

Question 411027: Suppose you pay $16 for a shirt that has been discounted 30%. Find the original price of the shirt. Show all of your work and check your answer.
Click here to see answer by ewatrrr(10682)

Question 411018: The probability that a man will live for 10 more years is 2/5 and the probability that his wife will live for ten more years is 4/7. What is the probability that both will be alive in ten years?
Click here to see answer by edjones(7569)

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