# 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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### 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.

### 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 filling at a rate of 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?

### 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 of water leak out of ...

### Math PLZ HELP!!!!

A tank that holds 4000 gallons of water will drain completely into a reservoir in 32 minutes. The volume of remaining water in tank after time t is given by the function: V(t)=4000(1-t/32)^2, 0<t<32 The amount of water in reservoir depends on how much water has drained ...

### maths

1)a linear function is represented by f(x)=2x+7 which of the following functions would be parallel to that of the function above a)f(x)=2x-7 b)f(x)=x+7 c)f(x)=x-7 d)f(x)=-1/2x+7 e)f(x)=-1/2x-7 I choose b 2)water is pumped into an empty tank at a constant rate. after 2 minutes ...

### 5th grade math

You have 2 pails. One holds 4 gallons and the other holds 7 gallons. How can you go to the lake and bring back exactly 5 gallons of water?

### math

A pool drains water at a rate of 3% every 5 minutes how many gallons of water are left after 50 minutes? How long will it take to have less then 1,000 gallons?

### 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 linear equation of the...

### Math

A swimming pool is filled with water at a constant rate of 9 gallons every 10 minutes. After 30 minutes, the pool is filled with 55 gallons of water. Which equation represents this relationship ? F. y= 9x + 55 G. y= 10x + 28 H. y= 9/10x + 28 J. y= 9/10x + 55

### calculus

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. How many gallons of water leak out of the ...

### Algebra

A water tank holds 500 gallons of water. The water is used at a rate of 12 gallons per hour. How much water is in the tank after 11 hours.

### math 116

Someone please help me with this quesion. A barrel contains 192 gallons of paint and is being drained at a constant rate of 11 gallons per minute. Write an equation that number of gallons,g,after t minutes. The equation that models the given situation is_______.

### math

A barrel contains 163 gallons of paint and is being drained at a constant rate of 12 gallons per minute Write an equation that models the number of gallons, g, after t minutes The equation that models the given situation is

### math

A barrel contains 163 gallons of paint and is being drained at a constant rate of 12 gallons per minute Write an equation that models the number of gallons, g, after t minutes The equation that models the given situation is

### 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.

### 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. Find the amount of acid...

### Algebra

A tank contains 150 gallons of water and fills at a rate of 8 gallons per minute. A second tank contains 600 gallons of water and drains at a rate of 10 gallons per minute. After how many minutes will both tanks have the same amount of water?

### algebra

a barrel contains 163 gallons of water and is being drained at a constant rate of gallons per hour write an equation that models the number of gallons g after t hours

### Mathematics

A water tank has 80 gallons of water. But the tank has a leak from which water flows at a rate of 1 gallon every 2 minutes. If you graph the equation representing the amount of water left in the tank, y, after x minutes, what will the slope and the y-intercept of the line be?

### 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 the quotient rule? What...

### Math

The number of gallons of water remaining in a swimming pool t minutes after the drains are opened and the pool begins emptying is give given by the function f(x)=40t^2-3000t+40,000 gallons. Between 3 and 5 minutes after the drains were opened, the pool emptied at an average ...

### Calc AB

I've been trying to solve this problem for the past 45 minutes and could really use some help. I'm given that water flows into a tank at a rate of (5t+4) gallons/min. Water flows out of the tank at a rate of 0.5(t^2) gallons/min. At t=0 min the tank contains 100 gallons. The ...

### 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

### math

Initially a pool contains 350 gallons of water. A hose is placed in the pool, and the water is turned on. The hose adds 4.8 gallons of water per minute. Write an equation that shows the relationship between the total amount of water in the pool, V, and the number of minutes ...

### AP Calc. AB

If a cylindrical tank holds 100,000 gallons of water, which can be drained from the bottom of the tank in an hour, then Torricelli's Law gives the volume of water remaining in the tank after t minutes as V(t)=100,000(1-(t/50))^2, 0<=t<=60. Find the rate at which the ...

### math

Each of their six water bottles holds 8 gallons. How many gallons of water did they take?

### algebra

true or false? A Aquarium which is 4ft x 5ft x 3ft high can hold 800 gallons of water. (assume that one cubic foot of space holds 7.5 gallons of water)

### Math

a gasoline pump delivers 4 2/5 gallons of gas per minute. How many minutes will it take to fill a gas tank that holds 16 1/2 gallons?

### Mathematics

At Harlan County Damn in Nebraska, the U.S. Bureau reports that the storage content of the reservoir decreased from 117,811 acre-feet (38.4 billon gallons of water) on Septmber 6, 2006 to 115,579 acre-feet (37.7 billion gallons of water) on October 6, 2006. Suppose that the ...

### Math

The number of gallons of water remaining in a swimming pool t minutes after the drains are opened and the pool begins emptying is give given by the function f(x)=40t^2-3000t+40,000gallons. Exactly 2 minutes after the drains are opened, the pool was emptying at an instantaneous...

### Math

A swimming pool was filled with 600 gallons of water in 20 minutes. What was the rate at which the pool was filled A.25 gallons per minute B.30 gallons per minute *** C.50 gallons per minute D.150 gallons per minute A swimming pool was filled with 600 gallons of water in 20 ...

### 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

### math

a fish tank that holds 80 gallons of water is 55 percent full how many gallons are in the tank now and how many more gallons are needed to fill the tank

### 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?

### math

A large mixing tank currently contains 100 gallons of water into which 6 pounds of sugar have been mixed. A tap will open pouring 20 gallons per minute of water into the tank at the same time sugar is poured into the tank at a rate of 1 pound per minute. Find the concentration...

### College Algebra

A 50 gallon barrel plumb full of water springs a leak in the bottom and leaks at a constant rate of two gallons per minute. Write an equation that relates the amount of water left in the barrel, y in terms of how many minutes have passed since the leak began, x.

### math

A pool can hold 2050 gallons of water, and it is being filled at a rate of 50 gallons per hour. The pool currently has 300 gallons in it. a) Write a linear equation which represents number of gallons in the pool. b) How long will it take to finish filling the pool?

### ratio and proportion

Three villages share water from a water tank.The tank holds 3,600 gals of water. The villages used the following ratio 2:3:4. how many gallons does village b use? how many gallons does a and c use together? wahat is the difference on the amount used by c and b?

### algebra

you pull out the plug from the bathtub. after 30 seconds, there are 14 gallons of water left in the tub. one minute after you pull the plug, there are 9 gallons left. how many gallons of water were in the tub initially, that is before the plug was pulled? how many gallons of ...

### algebra

You pull out the plug from the bathtub. After 40 seconds, there are 13 gallons of water left in the tub. One minute after you pull the plug, there are 10 gallons left. Assume that the number of gallons varies linearly with the time since the plug was pulled. Write the ...

### 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 a constant rate, ...

### 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)

### ?

If container A holds 8 gallons of water and container B holds 12% more than container A, how many gallons of water does container B hold?

### math

A swimming pool 35 ft. long and 20 ft. wide is filled to an average depth of 5ft. How many gallons of water does the pool contain if a cubic foot holds 7 gallons?

### math

an aquarium holds 6 1/4 gallons of water. the water level has dropped to 4/5 of this amount. how much water should be filled?

### math, water conservation

a water tower holds 1 million gallons at 38 ft. what is the percent of the water in the tank when the level reaches 26 ft?

### Algebra

A barrel contains 181 gallons of paint and is being drained at a constant rate of 5 gallons per hour. Write and expression that models the number of gallons, g, after t hours.

### algebra

the number of gallons of water,y,after x hours maybe modeled by the linear equation y=800-50x. Which of the following statements is true, a.it is filling at a rate of 800 gallons per hour/b.it is filling at a rate of 50 gallons per hour/c.it is emptying at a rate of 16 gallons...

### 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 y-intercept ...

### 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 y-intercept ...

### 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 y-intercept ...

### 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 the watermelon? (...

### algebra

The number of gallons of water, y , in a tank after x hours may be modeled by the linear equation y = 800 - 50x . Which of the following statements about the tank is true? It is filling at a rate of 50 gallons per hour. • It is emptying at a rate of 800 gallons per hour...

### algebra

The number of gallons of water, y , in a tank after x hours may be modeled by the linear equation y = 800 - 50x . Which of the following statements about the tank is true? It is filling at a rate of 50 gallons per hour. • It is emptying at a rate of 800 gallons per hour...

### math

A tank contains 50 gallons of a solution composed of 90% water and 10% alcohol. A second solution containing 50% water and 50% alcohol is added to the tank at rate of 4 gallons per minute. As the second solution is being added, the tank is being drained at the rate of 5 ...

### Algebra 1 (Check Work)

3. Which of the following is the most appropriate unit to describe the time you can drive a car based on the amount of gas? A. Minutes per gallon, because the independent quantity is the gallons B. Minutes per gallon, because the independent quantity is the minutes C. Gallons ...

### algebra

Which of the following is the most appropriate unit to describe the time you can drive a car based on the amount of gas? Minutes per gallon, because the independent quantity is the gallons Minutes per gallon, because the independent quantity is the minutes Gallons per minute, ...

### math

a cylindrical barrel is 2.8 feet in diameter and 8 feet high. if a cubic foot holds about 7.5 gallons of liquid how many gallons of water will this barrel hold?

### Math

A tank initially contains 50 liters of water. A hose adds water to the tank at a rate of 2 liters per minute. Write a linear equation for the amount of water in the tank, W, liters in terms of t, minutes. Then use your equation to find how much water is in the tank after 20 ...

### Chemistry

A fish tank holds 40 gallons of water (density 1.00g/mL) when full. What is the mass of the water in kilograms (kg)?

### Math

A barrele contains 60 gallons of water water leaked out of the barrel at a rate of 5 gallons at the rate how many days did it take for all 60 gallons of water to leak out of the barrele.

### Language Arts

Read the following excerpt from "Saving Water." “Abandon the bathtub, and hit the showers. Sometimes it just feels great to soak in the tub, but the tub holds between nine and 33 gallons (40 to 50 liters) of water, depending on how full we fill it.” What kind of argument ...

### Math

water flows over a dam at a rate of 500 gallons per minute write a function rule relating the amount of water a that flow over the dam to the number of minutes m that have passed what are the initial value and rate of change

### math

A water treatment plan is built with three cylindrical tanks to contain the water for a town. Each tank has a radius of 15 feet and a depth of 25 fee. If there are about 7.5 gallons in a cubic foot of water, approximately how many gallons of water can be treated at the plant ...

### Math

An aquarium holds 6 1/4 gallons of water. The water level has dropped to 4/5 of this amount. How much water should be added to fill the aquarium?

### math

An aquarium holds 6 1/4 gallons of water. The water level has dropped to 4/5 of this amount. How much water should be added to fill the aquarium?

### Math

Topic: Water Footprint. City of New York 2011 rate of 7.64/100 cubic feet of water. Calculate the cost of each of the following based on this rate. Use the conversion factor of 7.48 gallons per cubic food. A. A standard washing machine uses approximately 50 gallons of water ...

### 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).

### 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?

### Ath

A cup holds 1 5/8 gallons of water. How many quarts does it hold ?

### math

A pail holds 2 3/4 gallons of water. How much is this in cups?

### 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 flowing out of the tank...

### Math

An automated production line uses distilled water at a rate of 300 gallons every 2 hours to make shampoo. After the line had run for 7 hours, planners noted that 2,500 gallons of distilled water remained in the storage tank. Write a linear equation relating the time in hours x...

### MATH!

Water flows over a dam at a rate of 500 gallons per minute. Write a function rule relating the amount of water (A) that flows over the dam to the number of minutes (M) that have passed. What are the initial value and rate of change?

### Math (Algebra II)

A mechanic says your radiator has only 40% antifreeze (the rest is water), but it needs to be 80% antifreeze. How much of the solution should be replaced with antifreeze? (your radiator holds 5 gallons) The answer is 3 1/3 gallons. I just don't know how to explain it/do the ...

### math

the gas tank in bob's car holds at most 15 gallons. He has already filled the tank with 7 gallons of gas. he will continue to fill the tank with g gallons more. Write and solve an inequality that shows all the values of g that bob can add to the cars tank.

### Math

after 30 seconds, there are 14 gallons of water left in the tub. One minute after you pull the plug, there are 9 gallons left. assume that the numbers of gallons varies linearly with the time since the plug was pulled. what are the two ordered pairs and what is the rate of ...

### Grenada

John has a 25-gallon fish tank. John filled his tank today with 23-gallons of water. The water evaporates at a rate of 1.5 gallons per week. John adds 2 gallons to the tank every other week. At what following time will the tank contain 16.5 gallons?

### CALC

A 200-gallon tank is currently half full of water that contains 50 pounds of salt. A solution containing 1 pounds of salt per gallon enters the tank at a rate of 6 gallons per minute, and the well-stirred mixture is withdrawn from the tank at a rate of 6 gallons per minute. ...

### heith

Shirley has two containers of water for a camping trip. One container holds 2 times as much as the other. The total amount of water is 30 gallons. How much water is in each container?

### Math 062

When you buy 50 gallons of gas for your truck and the tank holds 25 gallons.The proportion set up would be 1/50=25/x,what does x represent?

### chem

the density of water is 1.00 g/mL. if your swimming pool holds 208,000 gallons of water, what is the weight of water in a filled swimming pool on tons?

### College Algebra

The per-capital consumption of bottled water wa 5 gallons in 1990 and has been increasingly yearly by a factor of 1.083. What was the per capital consumption of bottled water 13 years later? *round the answer to three decimal places * Water consumption in the year 2003 was ...

### Math

The greatest loss rate estimates are 4,200,000 gallons per day since the start of the spill, but after 44 days about 1,050,000 gallons were diverted into collection tankers.( The remaining amount was lost in the Gulf). Based on these data (assuming that the rate of loss was ...

### Math

The greatest loss rate estimates are 4,200,000 gallons per day since the start of the spill, but after 44 days about 1,050,000 gallons were diverted into collection tankers.( The remaining amount was lost in the Gulf). Based on these data (assuming that the rate of loss was ...

### math

The greatest loss rate estimates are 4,200,000 gallons per day since the start of the spill, but after 44 days about 1,050,000 gallons were diverted into collection tankers.( The remaining amount was lost in the Gulf). Based on these data (assuming that the rate of loss was ...

### 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?

### calculus II

A 100 gallon tank is being drained at a rate of 5 gallons per minute. A second tank containing 10 gallons of water is being filled at a rate of 4 gallons per minute. Can you find out when the two tanks will have the same amount of water in them?

### calculus

A water heater in the shape of a circular cylinder is standing vertically, resting on one of the round ends. The tank is 60 inches tall and has a volume of 30 gallons. If water is flowing into the tank at the rate of 5 gallons per minute, at what rate is the level of the water...

### Math

A barrel contained 60 gallons of water. Water leaked out of the barrel at a rate of 5 gallons every 3 days. How many days did it take for all 60 gallons of water to leak out of the barrel?

### Math

A bathtub is filled with 100 gallons of water. A cup of milk is then poured in and mixed thoroughly with the 100 gallons of water. A cup of liquid is then taken out and placed in a bowl. What fraction of the liquid in the bowl is milk? What is the ratio of milk to water?

### Math

Gregory filled a tank with 4 1/2 gallons of water. Linda filled the same tank with anothewr 2 1/3 gallons of water. finally, Meg added another 2 gallons of water. How many gallons of water were added to the tank?

### math

how do you measure and get 4 gallons of water only having an unmarked 5 gallon bucket and an unmarked 3 gallon bucket and a large container of water ok this is simple, u just have to think out of the bucket...heh.. so here goes fill the 5 gallon bucket to full and pour water ...

### Engineering Economics

Sales of bottled water in the U.S totaled 16.3 gallons per person in 2004. Water costs .40 cents per bottle.A municipal company provides tap water for $2.10 per 1000 gallons. If the average person drinks two bottles of water per day or uses 5 gallons per day in getting that ...

### math

Mr. Landy has a red bucket, a yellow bucket and a green bucket. The red bucket holds twice as much as the green bucket. The yellow bucket holds 8 quarts. If the three buckets hold 14 gallons in all, how many gallons does the red bucket hold?

### Math

A swimming pool that is 100 feet in length by 10 feet deep and 40 feet wide is filled with water how many gallons of water are in the pool. (1cubic foot of water = 7.48 gallons of water) well for the volume of the water i got 40,000 cubic feet then for the gallons i thought ...

### math

gasoline consumption problem suppose that the gas tank of a car holds 12 gallons and that the car uses 1/ 20 of a gallon per mile .let x be the nuber of miles the car has gone since the tank was filled? car holds 12 gallons 1/20 gallon/mile 12*20 = 240 miles possible what is ...

### Physics

What size motor [W] is required to pump 12,000 gallons of water up a water tower (with a height of 25 ft.) in 25 minutes? The density of water is 1,000 kg/cubic meter.