if kim can do a certain job in 5 hours, then at the end of  h hours she will have completed 5/h of the job

Q: A rectangle's length is 5 metres longer than twice its width. If both the length and the width are…

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Q: A 40­inch board is to be cut into three pieces so that thesecond piece is twice as long as the first…

A: Let the length of first piece is x inches. The length of second piece is twice as long as the first…

Q: Solve ex + 5 = 60 and approximate the result to three decimal places.

A: Logarithm is inverse of exponentiations. A logarithm is easy method to express large number and to…

Q: b) A father and a son working together can do a piece of job in 5 days. If the father alone can do…

A: We have to find how long will it take to son to do the job.

Q: One end of a ladder 25 feet long slides down a vertical wall while the other end moves away from the…

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Q: Suppose a hiker finds himself in a forest 4 miles from the nearest point on a straight road. He…

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Q: Suppose that a colony of bacteria starts with 1 bacterium and doubles in number every half hour. How…

A: To determine the number bacteria at the end of 24 hours.

Q: The sum of the reciprocals of Rahman's ages (in years ) 3 years ago and 5 years from now is 1/3…

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Q: .Suppose that a company produced and sold two types of products. If they sold monthly x, items of…

A: To determine the income if a company sold 32000 items of the first product and 55000 items of the…

Q: 2. Two runners begin jogging in opposite directions from the same point at the same time. One runner…

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Q: Suppose that a lawn can be raked by one gardener in 5 hours and by a second gardener in 4 hours. How…

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Q: A student can finish a project 15 minutes earlier than the other student. How long will it take them…

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Q: Two runners start a race at the same time and finish tied. Show that in at some point during the…

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Q: family has a phone plan that includes 6 GB of data per month. 15 days into a 30-day month, the…

A: Given: 15 days into a 30-day month, the family has used 2 GB. To find: At that rate, how many GB…

Q: A job can be done in as many days as there are men in the group. If the number of men is reduced by…

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Q: A ship has wrecked and its crew of 300 men has been left stranded on a dessert island. The food will…

A: In equation we are equating two sides left hand side and right hand side. It contains variable,…

Q: Suppose that the bacteria in a colony can grow unchecked. If the colony bacteria starts with 2…

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Q: 4. A job is 333 % completed in 15 minutes. At this rate, how many minutes will it take to complete…

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Q: An additional radio satellite dish is being added to an array of dishes. This newly added dish is 2…

A: Age of old dish = x+2 Age of new dish = x

Q: Show that the sum of a positive number and its reciprocal is at least 2.

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Q: The bacteria in a petri dish grow in a manner such that each day the number of bacteria doubles. On…

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any…

Q: An instructor has graded 23 exam papers submitted by students in a class of 24 students, and the…

A: Given An instructor has graded 23 exam papers submitted by students in a class of 24 students, and…

Q: AMPZ IS NOW FOUR TIME AS OLD AS BUYCZ IN FIVE YEARS, AMPZ WILL BE THREE TIMES AS OLD AS BUYCZ. FIND…

A: It is given that, AMPZ IS NOW FOUR TIME AS OLD AS BUYCZ IN FIVE YEARS, AMPZ WILL BE THREE TIMES AS…

Q: As of 1995, the human population was expected to double within 50 years. If we calculated r for the…

A: Given that as of 1995 the human population was expected to double within 50 years. And r means the…

Q: An elevator went from the bottom to the top of a building 140m high, remained there for 24 seconds,…

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Q: Worker A can complete a task in 2 hours while worker B can complete the same task in 4 hours. How…

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Q: Find two consecutive integers such that tn more than twice the smaller is seven less than three…

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Q: A manufacturer of an anti-inflammatory drug claims that the drug will be effective for 8 hours. An…

A: A manufacturer of an anti-inflammatory drug claims that the drug will be effective for 8 hours. An…

Q: Andrea is 3 times as old as Pauline, 10 years from now Andrea will be twice as old as Pauline, How…

A: Let the present age of Pauline be x. Andrea is 3 times as old as Pauline. Therefore the age of…

Q: A cheetah ran 196 meters in 8 seconds. Select all of the statements that are true if the cheetah…

A: Given that cheetah ran 196 meter in 8 second. We find in different-diffrent time distance. Here i…

Q: The number of banks in the country for selected years from 1980 to 2009 is given by y = -378.9x +…

A: Given,           The number of banks in the country for selected years from 1980 to 2009 is given by…

Q: In 2015, the median age at first marriage of U.S. women (27.1years) was_______ percentage less than…

A: From the given information, it is observed that the median age at first marriage of U.S. women in…

Q: The number of water lilies at the lake is doubling each day. If they covered the whole lake in 24…

A: 23 days were needed to cover half of the lake.

Q: n of 100 bacteria has a half-life of 28 days. How many bacteria, y, will there be in x days?

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Q: Suppose that x liters of pure acid are added to 200 liters of a 35% acid solution.a. Write a formula…

A: x liters of pure acid are added to 200 liters of a 35% acid solution. a). Concentration C of the new…

Q: A new car is purchased for $40,000 and over time its value depreciates by one half every 3 years.…

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Q: A Bacteria grows at a rate of 25% each day. If there are 500 bacteria today , how many will there be…

A: Given,          A Bacteria grows at a rate of 25% each day. If there are 500 bacteria today.…

Q: One end of a ladder 34 feet long slides down a vertical wall while the other end moves away from the…

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Q: Suppose a company offers you a job which will last only 100 days. The job pays $110 the first day…

A: First term= a1= 110 Common difference=d= 2.50 Number of terms = n = 100 a) My earning on the 100 th…

Q: One end of a ladder 34 feet long slides down a vertical wall while the other end moves away from the…

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Q: Suppose that the local newspaper reported that Millerville and Big Lake both had 50 murders last…

A: Given information: It is given that, the local newspaper reported that Millersville and Big lake…

Q: A takes 6 days less than the time taken by B to finish a piece of work . If both A and B together…

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Q: A frog is at the bottom of a ten feet well. Each day it crawls 2 feet and loses its grip and slides…

A: See below

Q: If a positive number is decreased by 10, then it is 75 times of its reciprocal. Find the number.

A: Consider the positive number as x.When the number decreased by 10 (that is x –10) then it is 75…

Q: (a) The value of a car depreciates by 25% in a year. What will a car, currently priced at $43,000,…

A: We will find the price of car after one year

Q: A contractor estimated that a project will be finished by his crew in 60 days. After the crew worked…

A: Given a contractor estimated that a project will be finished by his crew in 60 days. After the crew…

Q: Solve th

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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.