Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)
Question 85537: Can someone please explain to me how they came to this answer for this problem:
I want to understand it because i got it wrong in my exam.....
A bakery sells three types of cakes, each requiring the amount of ingredients shown.
*I separated the porportions by "/" since I couldn't do the table.
Ingredients/Cake1/Cake 2/Cake 3
Flour(cups)/2 /4 / 2
Sugar(cups)/2 /1/2
Eggs/2/1/3
To fill its orders for these cakes, the bakery used 72 cups of flour, 48 cups of sugar, and 50 eggs. How many cakes of each type were made?
Answ.18 cake I, 8 cake II, 2 cake III
Click here to see answer by stanbon(26291)   |
Question 85175: I need help....
Income A baker has 150 units of flour, 90 of sugar, and
150 of raisins. A loaf of raisin bread requires 1 unit of flour,
1 of sugar, and 2 of raisins, while a raisin cake needs 5, 2,
and 1 units, respectively.
a. If raisin bread sells for $1.75 a loaf and raisin cake for
$4.00 each, how many of each should be baked so that
gross income is maximized?
b. What is the maximum gross income?
c. Does it require all of the available units of flour, sugar,
and raisins to produce the number of loaves of raisin
bread and raisin cakes that produce the maximum profit?
If not, how much of each ingredient is left over?
Click here to see answer by ankor@dixie-net.com(6693)  |
Question 85541: I need help understanding how to solve these types of problems: I've looked at many examples but i do not see it.
Use the simplex method to solve the linear programming problem:
minimize: W= 4y1+2y2
Subject to:
3y1+2y2>=60
4y1+y2>=40
y1>=0,y2>=0
Click here to see answer by stanbon(26291) |
Question 85762: A client of the ABC investment company wanted to invest $20,000. She was advised to invest in a mutual bond that earns 3.5% annual simple interest and a stock fund that earns 9.3% annual simple interest. How much should be invested in each account so that both accounts earn the same annual interest?
Click here to see answer by Nate(3495) |
Question 85761: An investor placed a total of $16,000 in two simple interest accounts. One account earned a simple interest rate of 5.9%, and the other earned a simple interest rate of 3.6%. The two accounts earned a total of $668. How much was invested in each account?
Click here to see answer by checkley75(3666) |
Question 85789: Venn Diagram
professional teams
33 cities with large populations 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 football team
b) baseball and football, but not basketball
c) baseball or football
d) baseball or football, but not basketball
e) exactly two teams
please help with venn diagram
Click here to see answer by scianci(186) |
Question 85759: An investment club wants to invest $17,000 in two simple interest accounts. One account earns 6.5% annual simple interest and the other account earns 8.3% annual simple interest. How much should be invested in each account so that both accounts earn the same annual interest?
Click here to see answer by scianci(186) |
Question 85817: 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 tutorcecilia(2042) |
Question 85892: Hopefully I put this in the correct category:
A right triangle is a triangle with one angle measuring 90°. In a right triangle, the lengths of the sides are related by the Pythagorean Theorem, , where c is the length of the hypotenuse (the side opposite the 90° angle). Find the length of the hypotenuse when the other two sides’ measurements are 6 feet and 8 feet.
Click here to see answer by checkley75(3666) |
Question 85926: Suppose you travel north for 65 kilometers then travel east 75 kilometers. How far are you from your starting point? show steps taken.
The volume of a cube is given by V = s3, where s is the length of a side. Find the length of a side of a cube if the Volume is 1000 cm3.show steps taken.
Click here to see answer by Nate(3495) |
Question 85982: A person can purchase a new set of golf clubs with a choice of 4 different shafts, 5 different swing weights and 3 different grips. How many different choices are available for this set of custom golf clubs?
Click here to see answer by 303795(562) |
Question 86283: I have no clue what half-again is, the teacher never discussed it, please help. Here is the problem: The longest side of a triangle is half-again as long as the shortest side. The other side is 2 feet shorter than the longest side. The perimeter of the triangle is 22 feet. Find the length of each side of the triangle.
Click here to see answer by stanbon(26291) |
Question 86284: Peanuts are worth $2 per pound and cashews are worth $12 per pound. How many pounds of each must you mix to get 20 pounds of mixed nuts that are worth $5 per pound? I think I have the equation and what part of the equation is for each part.
5(x+y)=2x+12y
x=lbs of nuts
y=lbs of cashews
x+y=final mixture
2x=value of peanuts
12y=value of cashews
$5=mixture per lb
If you can help, I would greatly appreciate it.
Click here to see answer by ankor@dixie-net.com(6693) |
Question 86366This question is from textbook The Official SAT
: I would really appreciate some help with a word problem that has been nagging at me.
The questions is exactly like this:
One aduly and 10 children are in an elevator. If the adult's weight is 4 times the average (arithmetic mean) weight of the children, then the adult's weight is what fraction of the total weight of the 11 people in the elevator?
I would appreciate the help. Thanks!This question is from textbook The Official SAT
Click here to see answer by chitra(359) |
Question 86365: I would really appreciate some help with a word problem that has been nagging at me.
The questions is exactly like this:
One aduly and 10 children are in an elevator. If the adult's weight is 4 times the average (arithmetic mean) weight of the children, then the adult's weight is what fraction of the total weight of the 11 people in the elevator?
I would appreciate the help. Thanks!
Click here to see answer by chitra(359) |
Question 86443: It took 6 hours to travel to town, and it took up to 8 hours to travel back, becasue your return trip speed was 10mph less than the outgoing speed. What was your return trip speed?
Please assist,I have difficulty with word problems.....
Thanks!
Click here to see answer by scianci(186) |
Question 86451: For a fixed rate, a fixed principal amount, and a fixed compounding cycle, the return is an exponential function of time. Using the formula, , let r = 8%, P = 1, and n = 1 and give the coordinates (t,A) for the points where t = 0, 1, 2, 3, 4. Round your answer to the hundredth's place.
a) Show coordinates in this space.
Show work in this space.
b) Show graph here.
Click here to see answer by stanbon(26291) |
Question 86469: Solve the following word problems. Be sure to show the equation you use for the solution.
22) Science and medicine. A chemist has 300 milliliters (mL) of solution that is 18% acid. How many milliliters of acid are in the solution?
Click here to see answer by stanbon(26291) |
Question 86552: Humans have about 1,400,000 hairs on their head and lose an average of 75 hairs each day. If a person's body were to never replace a hair, approximately how many years would it take for a person to have 1000 hairs left on their head? (Assume that a person can live significantly longer than the average life span.)
Click here to see answer by Nate(3495) |
Question 86552: Humans have about 1,400,000 hairs on their head and lose an average of 75 hairs each day. If a person's body were to never replace a hair, approximately how many years would it take for a person to have 1000 hairs left on their head? (Assume that a person can live significantly longer than the average life span.)
Click here to see answer by bucky(1732) |
Question 86509: 1.A collection of 30 coins worth $5.50 consists of nickels, dimes, and quarters. There are twice as many dimes as nickels. How many quarters are there?
2.the school cafeteria sells milk at 25 cents per carton and salads at 45 cents each. One week the total sales for these items were $1,322.50. How many salads were sold that week?
3.At the homecoming football game, Senior Class Officers sold slices of pizza for $.75 each and hamburgers for $1.35 each. They sold 40 more slices of pizza than hamburgers, and sales totaled $292.50. How many slices of pizza did they sell?
4.For a recent job, a plumber earned $28/hour, and the plumber's apprentice earned $15/hour. The plumber worked 3 hours more than the apprentice. If together they were paid $213, how much did each earn? (Hint: First write an expression for the number of hours each worked on the job?
5.A plane whose air speed is 150 miles per hour flew from Abbot to Blair in 2 hours with a tail wind. On the return trip against the same wind, the plane was still 60 miles from Abbot after 2 hours. Find the wind speed and the distance between Abbot and Blair.
6.The cost of an adult ticket to a football game is $1.75. The cost of a student ticket is $1.25. Total receipts last week from ticket sales were $1,700. If the number of students tickets sold was twice the number of adult tickets, how many of each type were sold
7.
Click here to see answer by ankor@dixie-net.com(6693) |
Question 86703: Solve the following word problems. Be sure to show the equation you use for the solution.
44) Geometry. The length of a rectangular playing field is 5 ft less than twice its width. If the perimeter of the playing field is 230 ft, find the length and width of the field.
Click here to see answer by praseenakos@yahoo.com(417) |
Question 86822: a 30 year old can purchase a one year life insurance policy for 20,000 at a cost of 25.00. The probability of a person dying at age 30 is 0.0002. What is the company's expected profit per policy?
Click here to see answer by bucky(1732) |
Question 86826: A box contains 4 blue balls 5 green balls and 3 yellow balls. You randomly select 3 balls, one at a time, from the box without replacing a selected ball. What is the probability of selecting a blue, a green, a yellow in that order?
Click here to see answer by stanbon(26291) |
Question 86810: Solve the problem.
In the morning, May drove to an appointment at 50 mph. Her average speed on the return trip in the afternoon was 40 mph. The return trip took 1/5 hour longer. How far did she travel to the appointment?
Solve the problem.
Find the length of a rectangular lot with a perimeter of 72 m if the length is 8 m more than the width.
Solve the problem.
A rectangular Persian carpet has a perimeter of 200 inches. The length of the carpet is 26 in. more than the width. What are the dimensions of the carpet?
Solve the problem.
A triangular shaped lake-front lot has a perimeter of 2200 ft. One side is 200 ft longer than the shortest side, while the third side is 500 ft longer than the shortest side. Find the lengths of all three sides.
Click here to see answer by ankor@dixie-net.com(6693) |
Question 86899: Please help me with the following word problems:
1) A rock falls from a tower that is 122.500002 m high. As it is falling, its height is given by the formula h=122.500002 - 4.9t2 with t in seconds. How many seconds will it take for the rock to hit the ground (h = 0)?
2) A ball is dropped from a cliff that is 352 feet high. The distance S (in feet) that it falls in t seconds is given by the formula S=16t2 How many seconds (to tenths) will it take for the ball to hit the ground?
3) A ball is thrown downward from a window in a tall building. Its position at time t in seconds is s=16t2 + 32t, where s is in feet. How long (to the nearest tenth) will it take the ball to fall 81 feet?
4) The length of a rectangular frame is 5 cm more than the width. The area inside the frame is 66 square cm. Find the width of the frame.
Click here to see answer by Flake(45) |
Question 86898: I am having problems to solve the following problems
1) A lot is in the shape of a right triangle. The shorter leg measures 120 m. The hypotenuse is 40 m longer than the length of the longer leg. How long is the longer leg?
2) Your company uses the quadratic model y = -4.5x2 + 150x to represent the average number of new customers who will be signed on (x) weeks after the release of your new service. How many new customers can you expect to gain in week 4?
3) The position of an object moving in a straight line is given by s = 2t2 - 3t, where s is in meters and t is the time in seconds the object has been in motion. How long (to the nearest tenth) will it take the object to move 13 meters?
4) The height of a box is 3 inches. Its length is 4 inches more than its width. Find the length if the volume is 180?
Click here to see answer by Earlsdon(4900) |
Question 86905: I need some help oh this word problem:
In order to pass a college class it is necessary to obtain an average of 70% correct on three tests of 100 points each and on one final exam of 200 points. If a students scores 81, 62, 63 on the tests, what is the minimum score on the final exam that the student can receive and still pass the course?
Click here to see answer by Nate(3495) |
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