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Question 785852: A man swims downstream from the shore to a certain point at an effective rate of 10 ft/min. He swims back from this point to the shore at an effective rate of 4 ft/min. If it took him 14 min altogether, how far out from the shore did he go?
Click here to see answer by Alan3354(69443)

Question 786374: if 17 is added to a number the result is 44 less than twice the number
Click here to see answer by waynest(281)

Question 786864: SOS. I am not good at word problems. You have 10 fewer quarters than dimes and 5 fewer nickels than quarters. The total value of the coins is $4.75. How many quarters nickels and dimes do you have?
Click here to see answer by josgarithmetic(39799)

Question 786889: I am needing help figuring out this problem. I have tried several ways but can not figure it out.
"A liquid that is 55% muriatic acid is added to 4 L of liquid that is 80% muriatic acid how many liters of the 55% solution must be used to produce a new liquid that is 65% muriatic acid"
Click here to see answer by KMST(5347)

Question 787199: You need to rent a car and compare the charges of three different companies. Company A charges 20 cents per mile plus $20 per day.
Company B charges 10 cents per mile plus $35 per day.
Company C charges $70 per day with no mileage charge.
a) Find formulas for the cost of driving cars rented for each company in terms of x, the distance driven in miles in one day.
b)Graph the costs for each company for 0 less than or equal to x less than equal to 500. Put all graphs on same set of axes.

a)I have been trying to figure out the formulas for this problem but I am not quite sure as to if I am correct or not.
For Company A, I got y=.20x+20
For Company B, I got y=.10x+35
For Company C, I got y=70x
b) I also tried to graph the equations on the same set of axes, but they did not seem to fit onto one set of axes. Is it because my formulas are incorrect?
If someone could help me as soon as possible, I would appreciate it.
Thank you.

Click here to see answer by psbhowmick(878)

Question 787646: How many liters of water must be mixed with 20 liters of a 90% alcohol mixture so that the alcohol content of the mixture is reduced to 50%
Is my equation correct?
20(0.90) - x (0.50) = x
thank you for helping me
Click here to see answer by mananth(16949)

Question 787678: The sum of two numbers is 140. One number is five less than four times the other. Find the numbers.
Click here to see answer by mananth(16949)

Question 787772: Jordan has a jar of quarters. When he has 60 quarters in the jar, the jar weighs 52 ounces. When there are 125 quarters in the jar, the jar weighs 65 ounces. What is the weight of the empty jar?
Click here to see answer by solver91311(24713)

Question 787926: A movie theater has 2 ticket prices: 11$ for adults and 6$ for children. On a certain weekend, the theater sold 500 tickets for a total of 3900$. How many tickets of each kind were sold?
Click here to see answer by wilft1(217)

Question 788304: I am in 8 grade and this is question in my math reader so I need help by today if possible " My age is four times the difference of my age after four years and my age three years back .
How old am I ?"
Click here to see answer by ankor@dixie-net.com(22740)

Question 788435: A water wheel has a radius of 21 feet. The wheel is rotating at 15 revolutions per minute. Find the linear speed, in feet per minute, of the water.
Click here to see answer by Alan3354(69443)

Question 788738: why *F=*F-32/1.8 is the formula of *F?
Click here to see answer by josgarithmetic(39799)

Question 788735: IF Taylor buys a dozen pieces of fruit for 99 cents. If an apple piece cost 3 cents more than on orange piece and she buys more apples than oranges, how many pieces of each type of fruit did she buy.

Click here to see answer by josgarithmetic(39799)

Question 788801: A 4-metre long pipe is cut into 2 pieces. One piece is five times the length of the other piece. Find the length of each piece, entering your answers in metres and rounding your answers to two decimal places.
Click here to see answer by stanbon(75887)

Question 788853: How to you solve using linear models? For example, I do not understand to set up an equation. My math teacher said get to points then find your slope, plug it into point-slope form, then plug in your x to find your unknown y. For example this is one of the questions. There are 55 blades of grass in 1 inch of the lawn. There are 230 blades of grass in 4 inches of the same lwn. How many blades of grass are in 3 inches of the lawn?
Click here to see answer by josgarithmetic(39799)

Question 788891: what's the equation for this question. If an electricians fee for an emergency call out is call out fee of $90 plus $20 for every 15 minutes spent on the job.
Click here to see answer by jim_thompson5910(35256)

Question 788945: Please help me form the equation for this question
Greg is 3 times David's age, how old are Greg and David now if in 10 years time the sum of their ages will be 72
Thankyou Cromlix for your help
Click here to see answer by stanbon(75887)

Question 789194: Kathryn and Gaby are enrolled in a university program to study abroad in Spain
and then in South Africa. Th ey realize that they will have to convert US Dollars
(USD) to Euros (EUR) in Spain, and then convert EUR into South African Rand
(ZAR) for their time in South Africa. Th ey identifi ed a currency exchange service
in Spain that will convert D dollars to euros with the function E(D) = 0.64D- 5
and a currency exchange service in South Africa that will convert E euros to rand
using R(E) = 12.1E- 10.
1. For each function, give the units for the domain and range.
2. If Kathryn converts 450 USD in Spain to EUR, then converts that amount
in EUR to ZAR, how much will she have in South African rand? Explain the
process you used to arrive at your answer.
3. Explain how to compose the functions E and R to answer Item 2. Write the
composite function and identify the domain and range.
4. Aft er converting USD to EUR in Spain, Gaby had 139 EUR. Use an inverse
function to fi nd how much USD she converted.
1) E(D)=0.64D-5 Domain= Dollars
Range= E(D) convertion in euros
R(E)=12.1E-10 Domain= Euro
Range= Convertion in south Africa.
Please if you could help me with the rest it would be great. i really try to do i don't still understand. Please

Click here to see answer by psbhowmick(878)

Question 789285: Suppose that you have a bowl of 500 M&M candies, and each day you eat 1/4 of the candies you have. Is the number of candies left changing linearly or exponentially? Write an equation to model the number of candies left after n days.
Click here to see answer by josgarithmetic(39799)

Question 789663: The local theater has three types of seats for Broadway plays: main floor, balcony and mezzanine. Main floor tickets are $58, balcony tickets are $44, and mezzanine tickets are $37. One particular night, sales totaled $82,812. There were 79 more main floor tickets sold than balcony and mezzanine tickets combined. The number of balcony tickets sold is 333 more than 4 times the number of mezzanine tickets sold. How many of each type of ticket were sold?
Click here to see answer by stanbon(75887)

Question 790016: A very large book has pages numbered from 1 to 11521. How many digits are used to print all these page numbers?

Click here to see answer by solver91311(24713)

Question 790137: Find the x and y intercepts of this absolute value equation.
y= |2x-3|+2x+6
(In my answer document it says the answer is x intercept: none; y intercept: (0,9). I just don't understand how that's the right answer)
Click here to see answer by stanbon(75887)

Question 790709: if you sell mixed nuts for 4.25 per can, what should you order to maximize profit?
Click here to see answer by solver91311(24713)

Question 791003: the sum of the digits of a three digit number is 9. if the digits are reversed the number increases by 495. Find the number if the sum of the tens and hundreds digits is half the units digit.

Click here to see answer by lwsshak3(11628)

Question 790949: A couple purchased two hockey tickets and two basketball tickets for $153.92. A hockey ticket is $4.32 more than a basketball ticket. What are the costs of each individual ticket?

Can you show me how you work it?
Click here to see answer by Cromlix(4381)

Question 791150: A number divided by 5 equals the number decreased by 24
Click here to see answer by psbhowmick(878)

Question 791225: in one weekend you earn $27 and your friend earn $35. Would a ratio or unit rate be more helpful to compare the two amounts? explain

Click here to see answer by stanbon(75887)

Question 790942: Henry paid 80 cents for a bag of peanuts. He sold all but 20 of them for $1.50 and made a profit of 54 dollars. How many bafs did he buy?
Click here to see answer by ankor@dixie-net.com(22740)

Question 791329: "Goran's gas tank is 1/6 full. After he buys 14 gallons of gas, it is 3/4 full. How many gallons can Goran's tank hold?"
Click here to see answer by ankor@dixie-net.com(22740)

Question 791641: The difference of the ages of two boys A and B, is 3 years and the sum of thir ages is 27.
Click here to see answer by Cromlix(4381)

Question 791714: The difference of 33 and 3 times a number is the same as the sum of the number and twenty-five. Find the number.
Click here to see answer by new_user(6)

Question 791828: Bob is a real state agent who travels to different neighborhoods to meet clients. The real estate company reimburses him for these expenses at the end of each month. Bob is allowed $0.45 per km for mileage and $9 per day for phone calls. In June, his mileage, meals, and phone expenses totalled $599.
Bobs mileage claim was $80 more than his claim for telephone calls, and his claim for meals for $20 less than his mileage claim. How far did Bob drive in June?
Im not even sure where to begin. Please help!

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

Question 792519: A 50 cm length of ribbon costs x dollars. Find an expression for the cost of y meters of ribbon. Give your answer to its simplest form.
Click here to see answer by harpazo(655)

Question 792657: A movie ticket and a small popcorn cost $14.25. The popcorn costs $4.75 less than the movie ticket. What are the individual costs of one ticket and one popcorn?
Click here to see answer by rfer(16322)

Question 792936: Help - I am not sure as there a few ways I can go from this question.
4) FruitNuts is a store that sells a variety of unpackaged dried fruit and nut items. The current amounts of supplies of each item are listed in the following table:
Item Supply (pounds)
dried bananas 800
dried apricots 600
coconut pieces 500
Raisins 700
Walnuts 900
In addition to the individual items above, the store also sells two kinds of mix products:
1. A Trail Mix product which consists of equal parts of all individual items above
2. A Subway Mix product which consists of two parts walnuts and one part each of the dried bananas, raisins, and coconut pieces.
To speed up service, the manager decides to package some of the merchandise in boxes ahead of time. Packaging and price data on boxes are shown below:
Packaged Product Weight/Box (pounds) Price/Box ($)
Trail Mix 2 7.00
Subway Mix 1 3.00
Dried Bananas 1 2.80
Dried Apricots 1 3.25
Coconut Pieces 1 3.60
Raisins 1 3.50
Walnuts 1 5.50
The manager decides that 50% of each of current supplies should be allocated for packaging in boxes, and the rest should be unpackaged. However, no more than 30% of the weight of packaged supplies should be allocated to mixes. Note that if any supplies allocated to packaging in boxes are not used in the optimal solution (that is, have slack), then the slack will be added to unpackaged supplies. FruitNuts wishes to use LP to determine the number of boxes for packaging products, so as to maximize the revenue from packaged product sales.
Answer the following questions:
4.1) (5 points) Write down the decision variables.

x1 = Trail Mix
x2 = Subway Mix
x3 = Dried bananas
x4 = Dried apricots
x5 = Coconut pieces
x6 = Raisins
x7 = Walnuts
4.2) (10 points) Write down the optimization statement for the objective function.

4.3) (15 points) Write down the constraints.

4.4) (10 points) Solve the LP problem in Excel Solver and write down the optimal solution and optimal value of the objective function (attach the spreadsheet screenshot).
Click here to see answer by psbhowmick(878)

Question 793125: Your cellphone company offers two text-messaging plans.one plan costs $.25 per text message ,plus a monthly fee of $9. The other plan costs $.40 per text message with no monthly fee.
A)For how many text messages will both plans cost the same amount?
B)If you use about 80 text messages each month , which plan should you choose?

Click here to see answer by rfer(16322)

Question 793204: A concert promoter needs to take in $380,000 on the sale of $16,000 tickets. If the promoter charges $20.00 dollars for some tickets and $30.00 for others, how many of each type must be sold to take in the $380,000? Please help
Click here to see answer by stanbon(75887)

Question 793257: A group of people consisting of 1 adult and 4 children were charged $85.00 for admission to museum. A second group of 3 adults and 2 children were charged $105. If A is the admission charge for adults and c is children in dollars.
A. Write to equations that relate the number of adults and children in each group to their admission costs.
B.solve the above equations simultaneously to find the admission cost of an adult and admission cost of a child
C check you solution
Can you please explain your answers please this is me being scared I'm going to fail my test
Click here to see answer by MathTherapy(10809)

Question 793395: Sharah left Atlanta for vacation traveling at 51 mph. Brady left after Sarah and travelled at 60 mph trying to catch up.If it took Brady 4 hours to catch up with Sarah,how long was Sarah driving before Brady started?
Click here to see answer by ankor@dixie-net.com(22740)

Question 793901: Find the slope of the treadmill. 0.4 ft (rise) and 5 ft (run).
Click here to see answer by jim_thompson5910(35256)

Question 794246: At a local fruit shop, tomatoes are sold at 24c each and pears are sold at 28c each. Keryn bought 8 more pears than tomatoes and paid the fruiterer $3.80. How many pears and tomatoes did she buy?
Click here to see answer by josgarithmetic(39799)

Question 794699: You and some friends have raised $250 to help make a video for a contest. You need $35 to buy dvd's. It costs $45 per day to rent out the video camera. Write and solve an inequality to find the possible numbers of days you can rent the video camers. Please show all work.
Click here to see answer by josmiceli(19441)

Question 795176: The concession stand sold 36 cans of juice. There were 13 fewer cans of soda sold than cans of juice and 10 fewer bottles of water sold than cans of soda. How many bottles of water were sold?

Click here to see answer by josgarithmetic(39799)

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