# Item 20 A bathtub is draining at a constant rate. After 2 minutes, it holds 28 gallons of water. Three minutes later, it holds 7 gallons of water. Write an equation that represents the number y of gallons of water

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1. ## Mathss

Item 20 A bathtub is draining at a constant rate. After 2 minutes, it holds 28 gallons of water. Three minutes later, it holds 7 gallons of water. Write an equation that represents the number y of gallons of water in the tub after x minutes.
2. ## math

a bathtub is being filled at a rate of 2.5 galons per minute.the bathtub will hold 20 gallons of water how long will it take to fill the bathtub?
3. ## math

a tub takes 4 minutes to fill and holds 28 gallons of water. At this rate, how long would it take to fill a bathtub that held 63 gallons of water?
4. ## Solving Rational Equations

When only the cold faucet is fully turned on, a bathtub fills in 8 minutes. When only the hot faucet is turned on, the same bathtub fiills in 12 minutes. If both the cold and hot faucet are fully turned on, how long will it take to fill the bathtub?
5. ## Math

Every few minutes, Cindy measures the height of water, in inches, in a bucket while it is being filled at a constant rate. She makes a graph of her results. Two points on her graph are (5,6) and (8,9). Meanwhile, Ben is draining another bucket of water at
6. ## Calculus

Two full 48-gallon tanks begin draining at t = 0. Tank Alpha's volume is changing at a constant rate of -16/5 gal/min. The rate at which Tank Bravo's volume is changing is given by r(t)=-1/3t-1 gal/min. a) How much water is in each tank after 5 minutes? b)
7. ## Algebra

When only the cold faucet is fully turned on, a bathtub fills in 8 minutes. When only the hot faucet is turned on, the same bathtub fiills in 12 minutes. If both the cold and hot faucet are fully turned on, how long will it take to fill the bathtub?
8. ## Calculus

Water is draining from a swimming pool in such a way that the remaining volume of water after t minutes is V = 200(50 - t)^2 cubic meters. Find : (a) the average rate at which the water leaves the pool in the first 5 minutes
9. ## algebra

Susan is filling two ponds in her back yard. She has to dig the hole, put the liner in, and fill the pond. The first pond holds 75 gallons of water and is filling at a rate of 7 gallons of water per hour. The second holds 115 gallons of water and is
10. ## physics

Bottled water costs \$0.55 for a 0.5 liter bottle. What would it cost to fill a bathtub with bottled water. The bathtub holds 7.13 cubic feet of water. (Recall that 1.00 inch = 2.54 cm, and that a liter is exactly 1000 cm3).
11. ## math word problem

A rectangular bathtub with a base of 18 ft^2 is filling with water at a rate of ..7ft^3 per minute. How fast is the water level rising after 3 minutes?
12. ## algebra

A container has 300 liters of water, and a second container has 700 liters of water. The first container begins filling up at a rate of 5 liters per minute at the same time the second starts draining at a rate of 6 liters per minute. Which equation can be
13. ## english-macbeth

in Act I, Scene iii, line 19 the witches say "I'll drain him dry as hay" I have to explaion this quotation but i don't quite undertsand what it means. Please help! this similie means: this is a metaphor that simply means that whatever they are "draining"
14. ## algebra

a bathtub in your home has a drain that leaks. When you fill you bathtub with 30 gallons of water you notice that after every 5 minutes you only have 20 gallons remaining, so the drain is leaking 2 gallons every minute which represents slope. what is the
15. ## Math :(

Can someone plz explain how to do this math project, Plz give me some examples! Directions: For this project, you will visit an online marketplace website and choose three different products that you might want. For each product, you should provide a
16. ## Algebra

A boy can row a boat at a constant rate of 5 mi/hr in still water. He rows upstream for 19 minutes and then rows downstream, returning to his starting point in another 13 minutes. What is the rate of the current? What is the total distance traveled?
17. ## chemistry

A first-order reaction is 40% complete at the end of 50 minutes. What is the value of the rate constant (in min^-1)? A. 1.8 x 10^-2 B. 1.0 x 10^-2 C. 1.2 x 10^-2 D. 8.0 x 10^-3 E. none of these how would i approach this problem? i know that to find the
18. ## Algebra 1

using a constant rate, you can saw a log into 3 pieces in 12 minutes. At the sam constant rate, how long will it take you to cut a siliar log (if the same size) into 6 pieces? would you do a rate formula or what? I'm really stuck on this one!
19. ## math

Brandon has a 55-gallon fish tank. He estimates he can drain the tank at an average rate of 11 gallons per minute. In a linear model of this situation, x represents the number of minutes the tank has been draining. Relative to this situation, what does the
20. ## MATH

Brandon has a 55-gallon fish tank. He estimates he can drain the tank at an average rate of 11 gallons per minute. In a linear model of this situation, x represents the number of minutes the tank has been draining. Relative to this situation, what does the
21. ## algebra

Brandon has a 55-gallon fish tank. He estimates he can drain the tank at an average rate of 11 gallons per minute. In a linear model of this situation, x represents the number of minutes the tank has been draining. Relative to this situation, what does the
22. ## unit rate

the unit price of an item at a grocery store is a familiar example of a unit rate. find the unit price of each box of cereal. a. \$3.95 for a 20oz. b.\$4.29 for a 24 oz. c.\$2.25 for a 12 oz. Divide the price by the weight in ounces for the unit rate. For
23. ## micro economics

One type of systematic error arises because people tend to think of benefits in percentage terms rather than in absolute dollar amounts. As an example, Samir is willing to drive 20 minutes out of his way to save \$4.00 on a grocery item that costs \$10.00 in
24. ## math

Jake filled his 50 gallon bathtub in 5 minutes. How fast was the water flowing?
25. ## algebra

A car travels at a constant rate of 45 mph on a highway iffinitely (assume it never has to stop for gas) How far has the car traveled after x minutes? 45 miles/hr * (1/60 hr/minute) * x minutes = 3/4 x miles (if x is in minutes)
26. ## Chemistry

I've tried this problem over and over again, but im not getting the right answers! This is the problem....... Dinitrogen pentoxide, N2O5, decomposes when heated in carbon tetrachloride solvent. N2O5 ¨ 2 NO2 + 1/2 O2(g) If the rate constant for the
27. ## Math

a bathtub can be filled by the hot and cold water pipes in four minutes and, when full, can be emptied by the waste pipe in five minutes. If it is half full and all three pipes are set running, when will the tub be filled?
28. ## math

a bathtub can be filled by the hot and cold water pipes in four minutes and, when full, can be emptied by the waste pipe in five minutes. If it is half full and all three pipes are set running, when will the tub be filled?
29. ## College Algebra

A boy can row a boat at a constant rate of 5 mi/hr in still water, as indicated in the figure. He rows upstream for 24 minutes and then rows downstream, returning to his starting point in another 16 minutes. (Round your answers to two decimal places.) (A)
30. ## math

Martin rides to Cambridge 30 miles away from home at the average rate of 10 miles per hour.He returns on a better road that is 50% longer where he can increase his rate by 100%.How much time does he save by taking the better road on his return trip? a. 2
31. ## Chemistry

Hi can someone please help with this question, or atlest direct me in the right direction. Please and thank you. The initial rate of reaction H2O2(aq) --> H2O (l) + 1/2 O2(g) is found to be1.7*10^-3 M/s . Assume that this rate holds for 2 minutes. Start
32. ## algebra

One pipe can fill a tank in 60 minutes and another pipe can fill it in 50 minutes .If these two pipes are open and a third pipe is draining water from the tank ,it take 35 minutes to fill the tank .How long will it take the third pipe alone to empty the
33. ## Math

Three minutes after take-off, and airplane is 5,000 feet in the air. If it ascends at a constant rate, what is the rate of change? Please help.
34. ## calculus

1. A particle moves along the x-axis, it's position at timer given by x(t)=t/(1+t^2), t greater than or equal to 0,where t is measured in seconds and x in meters. a) find the velocity at time t. I am a little confused.. Do I find the derivative by using
35. ## college chemistry

Calcium oxide (CaO), an important ingredient in cement, is produced by decomposing calcium carbonate (CaCO3) at high temperature: CaCO3(s) → CaO(s) + CO2(g) In one particular reaction, 40 g of CaCO3 is heated at 750°C in a 5.0 L vessel. The pressure
36. ## Math

You and your roommate have timed the necessary physical operations. The ﬁrst physical production step is to wash out the mixing bowl from the previous batch, add all of the ingredients, and mix them in your food processor. The mixing bowls hold
37. ## Math

A balloon 150 meters from the observer is rising vertically at constant rate. After 1 minute the angle of elevation is 28 degrees and 29 minutes. What is the angle after 3 minutes?
38. ## math

If the store purchases an item at a wholesale cost of \$3.50 per item, and it is sold at a retail value of \$5.00 per item. What is the gross profit percentage of the item?

Which of the following statements about radioactive dating is true? a. Radioactive decay is the rate at which new atoms form. b. During radioactive decay, atoms break down, releasing particles or energy. c. The rate of decay of a radioactive element cannot
40. ## 7th Math

If Loiuse can type 70 words in 2 minutes and Corey can type 120 words in 3 minutes, which statement is true?? Loises rate is 50 words per minutes slower than coreys rate or Louise rate is 5 words per minutes slower than coreys rate
41. ## math

a deep sea diving bell is being lowered at a constant rate. after 8 minutes, the bell is at a depth of 400 ft. after 40 minutes the bell is at a depth of 1700ft. use the ordered pairs (8,400) and (40,1700) to determine the average rate to lower the bell
42. ## math

a man purchased 3 item which cost 100 dollars. The second item is half of the first, and the third item is have of the second. How much was each item?
43. ## Mathematics: Pre-cal

Consider a rectangular bathtub whose base is 12 ft^2. At what rate is water pouring into the tub if the water level rises at a rate of 0.9 ft/min? Please show steps. (I want to know how)
44. ## Writing Skills

The call number given in a catalog entry gives us what information? A. How recently the item was published B. The title and author of the item in question C. Where the item can be found within the library D. Whether or not the item is checked out I think
45. ## math

An item is on sale at 40% off the regular price. It is taxed at a rate of 6%. If the final sale price including tax is \$57.24, then what is the sale price of the item without tax? What was the regular price of the item? The sale price of the item without
46. ## math

An item is on sale at 40% off the regular price. It is taxed at a rate of 6%. If the final sale price including tax is \$57.24, then what is the sale price of the item without tax? What was the regular price of the item? The sale price of the item without
47. ## physics

Compute the order of magnitude of the mass of (a) a bathtub filled with water, and (b) a bathtub filled with pennies. In your solution list the quantities you estimate and the value you estimate for each.
48. ## Civics

which president got stuck in the bathtub? is he dead or alive? Thank you for using the Jiskha Homework Help Forum. This is a trivia question! http://www.classroomhelp.com/lessons/Presidents/taft.html He was born in 1857 and died at 72 years of age in 1930.
49. ## math

The rate of inflation is 3%. The cost of an item in future years can be found by iterating the function c(x)=1.03x. Find the cost of a \$1500 refrigerator in three years if the rate of inflation remains constant.
50. ## chemistry

A certain first order reaction has a rate constant of 5.68 x 10–3 s–1 at 139°C and a rate constant of 8.99 x 10–1 s–1 at a temperature of 215°C. Ea = 111 kJ mol– q1) What is the value of the rate constant at 275°C? q2) At what temperature
51. ## Chemistry

A student tested the effect of temperature on the decomposition of N2O5. He found that the rate of the reaction at a lower temperature was 4.2 x 10–3 s–1 and the rate at a higher temperature was 1.6 x 101 s–1. What is wrong with the student's data?
52. ## microeconimics

one type of systematic error arises because people tend to think of benefits in percentage term rather than in absolute dollar amounts. as an example, samir is wiling to drive 20 minutes out of his way to save \$4 on grocery item that cost \$10 at local

Please only one answer for each question. For questions 1-3, identify the situation that each graph could represent. 1. A. the length of a necklace that you make at a rate of 10 cm per hour without taking a break. B. The height of a balloon as it rises,
54. ## Math

An empty bathtub is filled with water at a of 2.5 liters per minute.How long will it take to fill the bathtub with 30 liters of water?
55. ## Math

What is the value of a stock that grows at a supernormal rate of 18% for the first four years, and then slows down to a constant growth rate of 10%? An annual dividend of \$2.00/share was just paid, and the rate of return on common stock is 13%. Possible
56. ## math

A girl walks 3/4 of the way home in 18 minutes. At the same rate, she can walk the rest of the way home in A. 4 1/2 minutes B. 6 minutes C. 9 minutes D. 24 minutes
57. ## Chemistry

The rate equation for the hydrolysis of sucrose to fructose and glucose is first order. After 27 minutes the sucrose concentration decreased from 0.0146M to 0.0132M. Find the rate constant K. Please help me!
58. ## Chemistry

An atmospheric scientist interested in how NO is converted into NO2 in urban atmospheres carries out two experiments to measure the rate of this reaction. The data are tabulated below. A: [NO]0 = 9.63 × 10-3 M, [O2]0 = 4.1 × 10-4 M t(s)
59. ## Chemistry

An atmospheric scientist interested in how NO is converted into NO2 in urban atmospheres carries out two experiments to measure the rate of this reaction. The data are tabulated below. A: [NO]0 = 9.63 × 10-3 M, [O2]0 = 4.1 × 10-4 M t(s)
60. ## math

The temperature in a room is changing at a steady rate. If x is the number of minutes since noon, the temperature was -4° C when x = -3 minutes and the temperature was 6° C when x = -5 minutes. Find the rate of change in temperature in degrees per
61. ## MATH URGENT

A submarine was floating on the water. It went under the water at a rate of 0.5m/second for 3 minutes. It then started to rise towards the surface at a rate of 0.7m/second for 1.5 minutes. What is the depth of the submarine? The hint my teacher gave me
62. ## math

The tax on an item is \$60. Given a tax rate of 8.5%, which of the following is the price of the item, to the nearest dollar, before taxes? a. \$408 b. \$510 c. \$650 d. \$706 I think D but not for sure. Can u show me how u set this problem up?
63. ## Calculus

The rate at which an item depreciates is proportional to its value at that instant. If an item is presently values at \$70,000 and 10 months later it is valued at \$22,222, when in years will it be valued at \$19,999? I'm not sure what formula to use...
64. ## Math

A woman rows a boat 1.75 miles upstream against a constant current in 35 minutes. She then rows the same distance downstream (with the same current) in 15 minutes. What is the rate of the current?
65. ## Math

PLEASE HELP: A bathtub has a capacity of 42 gallons and is completely full of water. Ten gallons of water are drained out. Enter the percentage of gallons of water left in the bathtub. Round your answer to the nearest hundredth.
66. ## chemistry

A 50-mL Mohr buret is connected to a 1-ft length of capillary tubing. The buret is then filled with water and the volume of water versus time is monitored as the water gradually flows through the capillary tubing. This process is found to be first-order
67. ## Finance

Due to a recession, expected inflation this year is only 2.75%. However, the inflation rate in Year 2 and thereafter is expected to be constant at some level above 2.75%. Assume that expectations theory holds and the real risk-free rate is r* = 3%. If the
68. ## math

an airplane climbs at a rate of 66.8 feet per minute. It descends at twice the rate that it climbs. Assuming it descends at a constant rate, how many feet will the aitplane descend in 30 minutes.
69. ## Math/Finance

Due to a recession, expected inflation this year is only 2%. However, the inflation rate in Year 2 and thereafter is expected to be constant at some level above 2%. Assume that expectations theory holds and the real risk-free rate is r* = 2.25%. If the
70. ## Managerial Finance

Due to a recession, expected inflation this year is only 2%. However, the inflation rate in Year 2 and thereafter is expected to be constant at some level above 2%. Assume that expectations theory holds and the real risk-free rate is r* = 2.25%. If the
71. ## CHEM

Which of the following will be affected by the addition of a catalyst to a chemical reaction? Choose all that apply. thanks A)the magnitude of the equilibrium constant B) the value of the ratio kf/kr C) ÄHo D) ÄSo E) the value of the forward rate F) the
72. ## math

The distance remaining for a half marathon race over several minutes is shown in table. Use the information to determine the constant rate change in the minutes per mile. Table: Time (min) Distance Remaining (mi) 40 8 56 6 72 4 88 2
73. ## Chemistry

Which of the following will be affected by the addition of a catalyst to a chemical reaction? a. ÄGo b. the value of the reverse rate constant, kr c. the value of the reverse rate d. the value of the ratio kf/kr e. the value of the forward rate f. the
74. ## Pre-Calculus

Carmen rides her bicycle at a constant rate to the market. When she rides her bicycle back home along the same route, she bikes at three-quarters the rate she biked to the market. At any given time, t, the distance biked can be calculated using the formula
75. ## Chemistry

The following rearrangement reaction is first order: C3H6 ¨ CH3CH=CH2 The rate constant for this reaction is 6.7 ~ 10−4. How many minutes will it take for the concentration of C3H6 to drop to 11.75% of its initial value? How do I calculate this
76. ## Math/Physics

Please check my work below and comment. A tank initially contains 80 gallons of fresh water. A 10% acid solution flows into the tank at the rate of 3 gallons per minute. The well-stirred mixture flows out of the tank at the rate of 3 gallons per minute.
77. ## Math

If a pool holds 22,000 gallons, how long will it take to fill the pool at a rate of 400 gallons per minute, rounded off to the nearest minute? _______ minutes Thank you
78. ## Math expression

If the customer uses more than 450 minutes the payment is \$39.99 for the first 450 minutes plus \$0.45 for each minute over 450. How do I convert this into an expression? this is what I got, but my teacher says its not right,but its close and I am not sure
79. ## Math

"A tank holds 1000L of water, which takes an hour to drain from the bottom of the tank, then the volume V of water remaining in the tank after t minutes is: V = 1000(1-(t/60))^2 where t is between 0 and 60 inclusive. Find the rate at which the water is
80. ## Math/Financing

I need help with a math problem. If someone finances an item at an apr rate of 17.99% interest, and pays all charges off in 2 months, what will the total amount paid for the item be. Assuming there is no annual fee and the minimum finance charge is \$2.00
81. ## physics

An automobile travels at the rate of 25 m/s for 5 minutes, then at 30 m/s for 10 minutes, and finally at 10 m/s for 2 minutes. Find a. the total distance covered in meters and the average speed in m/s
82. ## math

Water is leaking from a pipe at a constant rate of 1/2 cup every 10 minutes. At this rate, how many gallons of water will leak from the pipe in 1 week? (16 cups = 1 gallon)
83. ## Physics

A train travelling at a constant speed of 100 km/h travels west for 45 minutes, northwest for 30 minutes and finally north for 15 minutes. What is the trains average velocity for the trip?
84. ## Chemistry

An atmospheric scientist interested in how NO is converted into NO2 in urban atmospheres carries out two experiments to measure the rate of this reaction. The data are tabulated below. A: [NO]0 = 9.63 × 10-1 M, [O2]0 = 4.1 × 10-4 M t(s)
85. ## math help

1. Michelle reads 1,200 words in 7 minutes, and Tricia reads 700 words in 3 minutes. Who is the faster reader? 2.Find the unit price for the item: \$6.96 for a dozen pears.
86. ## Algebra 1B

The polynomial given by 1.6t^ 2 - 28t + 200 calculates the heart rate, where t represents the elapsed time in minutes since exercise stopped. 1. What is the heart rate when the athlete first stops exercising? 2. What is the heart rate after 5 minutes? 3.
87. ## Pseudocode

Produce the algorithm for the problem above [this will include five “get” statements to input item 1, item 2, item 3, item 4 and item 5; three math statements to process the subtotal, tax and total; and three “display” statements to output the
88. ## Math

What ratio is equivalent to 4/16? A. 2:4 B. 60 TO 20 C. 8:32 ** D. 12 TO 64 Which typing time was the fastest? A. 320 words in 8 minutes B. 600 words in 12 minutes C. 350 words in 10 minutes ** D. 225 words in 5 minutes If someone could explain how to find
89. ## Calc

An Olympic-sized swimming pool is a rectangular prism that is 50m long, 25m wide, lled with water to a depth of 1.5m. We are going to pump the water out of the pool with a pump that is 0.5 meters above the surface of the water. Compare the costs of
90. ## Math

ITEM NUMBER THREE 1 Description of the item:Printer 2 Stated price on the website: 229.99 (do not round to whole dollars) 3 Website where the item was found:Staples I don't know how to do questions # 4 and 5 4 Price of item after a 10% increase with sales
91. ## Computer Science

"write a program that asks the user to enter the price of an item and rate of discount. If discount is 9%, display the final cost of item" What message do I display if its not 9%? Algorithms btw
92. ## science

If a reaction rate increases with temperature, how will the rate constant of the reaction change with temperature? A. The rate constant only changes upon addition of a catalyst to the reaction. B. The rate constant will decrease with temperature. C. The
93. ## chem

If a reaction rate increases with temperature, how will the rate constant of the reaction change with temperature? A. The rate constant only changes upon addition of a catalyst to the reaction. B. The rate constant will decrease with temperature. C. The
94. ## Accounting

How can I find the supernormal growth rate and constant growth rate of a stock? V = D1/k-g V = the value of the stock D1 = the dividend next period k = the required rate of return g = constant growth rate I'm confused on how to combine the constant growth
95. ## Math Calculus

A cylindrical tank with axis horizontal has a diameter d and a length L. It holds oil to depth d ( d<D ) when a leak starts to drain off the oil at a constant rate k. How fast is the level falling
96. ## chemistry-help!

The initial rate of reaction for H2O2(aq) <-> H2O (l) 1/2 O2 (g) is found to be 1.7x10(-3)M/s. Assume that this rate holds for 2 minutes. Start with 160ml of 1.60 M H2O2. How many milliliters of O2 measured at 24C and 760mmHg , are released from
97. ## math

Water is Pumped into an underground tank at a constant rate of 8 gallons per minute.Water leaks out of the tank at the rate of (t+1)^½ gallons per minute, for 0<t<120 minutes. At time t=0, the tank contains 30 gallons of water. A) How many gallons
98. ## Physics

A bathtub of icy water at 32 degrees farenheit holds 17 gallons. You put in a 25 pound watermelon with a temperature of 100 degrees farenheit. If you wrap the tub completely in blankets so it does not lose any heat, what will be the final temperature of
99. ## Math

Lin ride her bike 20 miles in 15 minutes. If she rode at constant speed what is the unit rate and how do you know ?
100. ## math ( CHECK MY WORK)

1. on 3 tests, a student scored a total of 258 points. if the student improved his performance on each test by 5 points, what was the score on each test a. 81,86,91 b. 80,85,90 c. 75,80,85 d. 70,75,80 is the correct answer A. 2. an item costs x dollars.