The time it takes to fill a water tank varies inversely with the water rate of the hose. At 8 gallons per minute, a hose can fill the tank in 45 minutes. How long will it take to fill the same tank at 15 gallons per minute?

The time it takes to fill a water tank varies inversely with the water rate of the hose. At 8 gallons per minute, a hose can fill the tank in 45 minutes. How long will it take to fill the same tank at 15 gallons per minute?

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter4: Polynomials

Section4.9: Area Problems

Problem 1P

See similar textbooks

Related questions

Q: The time required to drive a fixed distance varies inversely as the speed. It takes 5 hr at a speed…

A: Given as the time required to drive a fixed distance varies inversely as the speed: T∝1ST=kS k=…

Q: When building a house, the number of days required to build varies inversely with the number of…

A: Given One house was built in 21 days by 19 workers.How many days would it take to build a similar…

Q: The travel time between two cities is inversely proportional to the average speed. A train travels…

A: Let us suppose that s is the speed and t is the time. Since the travel time between two cities is…

Q: The value of a hand phone usually varies inversely with the square of its age. If a hand phone is…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: The number of hours it takes for ice to melt varies inversely with the air temperature. A block of…

A: Let t be the time take by melting the ice of temperature T degree. Therefore: t=kT where k is the…

Q: When building a house, the number of days required to build is inversely proportional to with the…

A: *given:- the number of days is inversely proportional to the number of workesrs. or number of…

Q: The weight of an object varies inversely as the square of the distance from the center of the earth.…

Q: Suppose the cooking time for a particular recipe varies inversely with the temperature of the oven.…

Q: The time required to process a shipment of goods at Wal-Mart varies directly with the number of…

Q: The height that a ball bounces varies directly as the height from which it was dropped. A tennis…

A: The height that a ball bounces varies directly as the height from which it was dropped. That is, b α…

Q: The time required to assemble computers varies directly as the number of computers assembled and…

A: Let t, n and w be the time, number of computers and number of workers respectively. Now given that,…

Q: The number of days that a given number of bushels of corn will last when feeding cattle varies…

Q: The heat generated by a stove element varies directly as the square of the voltage and inversely as…

A: Lets assume H : Heat generated by a stove element V: voltage R : Resistance

Q: the intensity of a light bulb varies inversely as the square of the distance you are standing from…

A: Topic - relation between two varibles and their equation formation

Q: The time it takes to drive between two cities varies inversely with speed. Leah can drive between…

Q: The water temperature of the Pacific Ocean varies inversely as the water's depth. At a depth of 1000…

A: From given, Tα 1hT=ch

Q: The time it takes to drive between two cities varies inversely with speed. Leah can drive between…

A: given speed 70 miles per hour Time 3 hour we know speed=DistanceTime70=Distance3Distance=210 miles

Q: The time it takes to drive between two cities varies inversely with speed. Leah can drive between…

Q: The number of kilograms of water in a human body varies directly as the mass of the body. An 87-kg…

A: to determine.

Q: A company has found that the demand for one of its products varies inversely as the price of the…

A: Let the demand and price be d and p respectively.d is inversely proportional to p this implies that…

Q: The time it takes you to drive to work varies inversely with your driving speed. When driving at…

Q: You discover that the number of hours you sleep each night varies inversely as the square of the…

A: Given Number of hours you sleep each night varies inversely as the square of the number of cups of…

Q: The constant of voltage is the result of ohms varying inversely from amps. What is the graph that…

A: R=resistance I=current V=voltage (constant) R∝1I

Q: A manufacturing company found that the demand for its product varies inversely as the price of the…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The weight of an object on Mars varies as its weight on Earth. An object that weighs 115kg on Earth…

A: We will find out the required weight on Mars.

Q: At a constant temperature, the volume of a gas varies inversely as the pressure. If the pressure of…

Q: The frequency of an electromagnetic wave varies inversely with the wavelength. If a wavelength of…

A: Since, the frequency(f) of an electromagnetic wave varies inversely with the wavelength(w), if k is…

Q: The distance that a body falls varies directly as the square of the time that it is falling. If…

Q: The weight of carbon varied inversely as the weight of the oxygen. When the carbon weighed oxygen…

A: Solution : We have given that the weight of carbon veried inversely as the weight of the oxygen.…

Q: When renting a limo for prom, the number of people varies inversely with the cost per person.…

A: Two quantities are said to be inversely proportional when one quantity is in direct proportion to…

Q: The marketing department of a shoe store determined that the number of pairs of shoes sold varies…

A: The marketing department of a shoe store determined that the number of pairs of shoes sold varies…

Q: For a car moving at a constant speed the distance traveled varies directly. with the time spent…

Q: Under constant temperature, the volume occupied by a gas varies inversely to the pressure applied.…

A: The given data is: If the gas occupies a volume of 22 cubic inches under a pressure of 7 pounds per…

Q: he volume of a cone varies jointly as its height, and the square of its radius. If a cone with a…

A: Given: The volume of a cone varies proportional to its height and square of its radius. Volume of…

Q: Sound intensity varies inversely as the square of the distance from the sound source. If you are in…

Q: Last summer the price of gasoline changed frequently. One station owner noticed that the number of…

Q: The surface area of a cube varies directly as the square of the length of an edge. If the surface…

A: We need to find the surface area of 10 inches long cube.

Q: The volume of a gas is inversely proportional to the pressure. If a pressure of 18 pounds per square…

Q: The cost per student for a field trip to the Everglades varies inversely as the number of students…

A: Make a relation according to the problem

Q: When building a house, the number of days required to build is inversely proportional to with the…

A: Number of days required to build is inversely proportional to with the number of workers. One house…

Q: The distance that Brad travels varies directly with the time spent traveling. Brad traveled 660…

A: Given, The distance that Brad travels varies directly with the time spent traveling. Brad…

Q: For a particular brand of coffee beans, the cost is proportional to the weight of beans You…

A: Cost of 7 ounces = $3.99 Therefore cost of 1 ounce = ($3.99/7) Since $15 is spend to purchase the…

Q: The simple interest earned by a certain amount of money varies jointly as the rate of interest and…

Q: When renting a limo for prom, the number of people is inversely proportional to the cost per person.…

Q: The number of kilograms of water in a human body varies directly as the mass of the body. A 90-kg…

A: Direct proportion is the relationship between two variables whose ratio is equal to a constant…

Q: The weight of a body above the surface of the earth varies inversely as the square of its distance…

A: Force F= Weight Distance= d. The point (d, F)=(4000, 200). Variation formula: F∝d2 F=kd2 Where k is…

Q: When renting a limo for the number of people is inversely proportional to the cost per person.…

A: p=number of people c=cost per person to remove the proportionality sign we need to multiply…

Q: The distance that a body falls varies directly as the square of the time that it is falling. If…

A: It is given that the distance a body falls varies directly as the square of the time. If distance of…

Q: The weight of an object above the surface of the Earth varies inversely with the square of the…

Q: The weight of a body above the surface ofEarth varies inversely with the square of the distance…

A: Given: The weight of a body above the surface ofEarth varies inversely with the square of the…

Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

Variation
3b73b1f7f536e29c0268#screenldx-D16
Point-Parti.
Roots, Multi, and Fu..
Roots, Multi, and Fu. 4 Roots, Multi, and I
Exit Ticket
The time it takes to fill a water tank varies inversely with
the water rate of the hose. At 8 gallons per minute, a
hose can fill the tank in 45 minutes. How long will it take
to fill the same tank at 15 gallons per minute?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Linear Equations$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

Similar questions

The feed of a drill is the depth of material that the drill penetrates in one revolution. The total depth of penetration equals the product of the number of revolutions and the feed. Compute the feed of a drill that cuts to a depth of 3.300 inches while turning 500.0 revolutions.
The manufacturer of a water bottle spends $5 to build each bottle and sells them for $10. The manufacturer also has fixed costs each month of $6500. (a) Find the cost function C when x bottles are manufactured. (b) Find the revenue function R when x bottles are sold. (c) Show the break-even point by graphing both the Revenue and Cost functions on the same grid. (d) Find the break-even point. Interpret what the break-even point means.
The manufacturer of an energy drink spends $1.20 to make each drink and sells them for $2. The manufacturer also has fixed costs each month of $8,000. (a) Find the cost function C when x energy drinks aremanufactured. (b) Find the revenue function R when x drinks are sold. (c) Show the break-even point by graphing both the Revenue and Cost functions on the same grid. (d) Find the break-even point. Interpret what the breakeven point means.
The manufacturer of a weight training bench spends $15 to build each bench and sells them for $32. The manufacturer also has fixed costs each month of $25,500. (a) Find the cost function C when x benches are manufactured. (b) Find the revenue function R when x benches are sold. (c) Show the break-even point by graphing both the Revenue and Cost functions on the same grid. (d) Find the break-even point. Interpret what the break-even point means.