Two workers, Ava and Bob, working 9 hours made 243 parts. Ava makes 13 parts in 1 hour. a. Write two equations, one for each worker, relating hours worked and parts made. Label each variable. If the workers work at a steady rate throughout the day, who is more productive,

Q: How many gallons of 30% alcohol and 60% alcohol are needed to obtain a 20-gallon mixture which is…

A: Let x be the number of gallons of 30% alcohol. So, (20-x) will be the number of gallons of 60%…

Q: There is a new food delivery company that charges $6 to deliver 4 meals and $10 to deliver 12 meals.…

A:

Q: Juliet has a choice between receiving a monthly salary of $2120 from a company or a base salary of…

A: # Given data:   Juliet has a choice betweeb receiving a monthly    salary  of $2120  or  base salary…

Q: After riding at a steady speed for 40 miles, a bicyclist had a flat tire and walked 5 miles to a…

A: Given- After riding at a steady speed for 40 miles and walked 5 miles to a repair shop. The cycling…

Q: The sum of Jose and Maria's ages is twice the sum of their children's ages. How many children were…

A: In the given Question firstly make three equation and then solve and find Number of the children's…

Q: The sum of twice a number and five is 14.

A: Solving from the given data we have

Q: In a discount clothing​ store, all sweaters are sold at one fixed price and all shirts are sold at…

A: Let cost of a sweater= $x and cost of a shirt= $y Given:  one sweater and five shirts cost $ 58.…

Q: A total of $10,000 is to be divided between Sean and George, with George to receive $3000 less than…

A: A total of $10,000 is to be divided between Sean and George, with George to receive $3000 less than…

Q: Wesley and Brian have a total of 87 baseball cards. Wesley has 30 less than twice as many cards as…

A: Algebra

Q: Graph the systems of linear equations on your calculator and select the correct solution.

A: Given system of equation, 6.87z+7.66y= -9.24 -1.34r +5.78y = 15.49

Q: The sum of 36 and a number is 14. Fourteen less than a number is 5.

A: Please refer the attached image for complete solution.

Q: After riding at a steady rate for 60 miles, a bicyclist had a flat tire and walked 8 miles to a…

A: Let the walking rate be x The cycling rate was 3 times faster than the walking rate. Therefore, The…

Q: . When a father, in a car, and his son, on a bicycle, work together to distribute the morning…

A: Let father takes x minutes to complete the route, then son takes x+21 minutes if works alone. both…

Q: two high speed ferries leave at the same time from a city to go to the same island. the first ferry,…

A:

Q: Two​ neighbors, Wilma and​ Betty, each have a swimming pool. Both​ Wilma's and​ Betty's pools hold…

A:

Q: Four times the sum of a number and three is equal to 16

A: Let the number is x.  The Sum of the number and 3 is given by (x+3) Four times the sum of a number…

Q: A car travel at 15 mph and a truck travel at 32 mph. The car needs two and a half hours more than…

A: Distance=speed × time Let c = the time for the car and t = the time for the truck They travel the…

Q: The sum of Annie's, Bert's, and Chris's ages is 60. Annie is older than Bert by the same number of…

A: Let Annie, Bert and Chris present ages be A, B and C. Given A+B+C=60 Let Annie be older than Bert by…

Q: A ship that is in danger of sinking radios the Coast Guard for assistance. When the rescue  craft…

A:

Q: A truck and a van leave the same location at the same time and travel in opposite directions. The…

A: Given : A truck and a van leave the same location at the same time and travel in opposite…

Q: One month, rusty worked six more hours than iris, and Steven worked 4 times as many hours as rusty.…

A: see below the answer and explanation

Q: Malcolm and Ravi raced each other. The average of their maximum speeds was 260 km/h. If doubled,…

A: We have to find the speed of Ravi and Malcolm

Q: How long will it take an Amtrak passenger train to catch up to a freight train if their speeds are…

A: Solution:let x = 60 mph the speed of the Amtrak train  y = 45 mph the speed of the Freight traint =…

Q: Bob, Trinity, and Roger are painting their living room. Trinity takes twice the number of hours that…

A:

Q: The Anderson family and the Cooper family each used their sprinklers last summer. The Anderson…

A:

Q: Orange juice, a raisin bagel, and a cup of coffee from Billy's Breakfast Bar cost a total of $2.65,…

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Q: Maxine and Sammie have lawns that are the same size. Maxine can mow her lawn in 24 minutes and…

A: Maxine can mow her lawn in 24 minutes, so the rate of work of Marine is 1/24 of the lawn per minute.…

Q: Mariana solved a linear equation and found that it had an infinite number of solutions. Which could…

A: Given: Marina solved a linear equation and found that it had an infinite number of solutions.

Q: Two​ high-speed ferries leave at the same time from a city to go to the same island. The first​…

A: Given, Velocity of first ferry= 30 miles/hour Velocity of second ferry= 25 miles/hour Distance (d)=…

Q: A boy has as many brothers as he has sisters. Each of his sisters has twice as many brothers as she…

A: Given that a family has each girl as many as brothers as sisters and each boy have twice as many…

Q: The sum of two numbers is 10 and their product is 24. Find the numbers.

A: The sum of two numbers is 10 and their product is 24.

Q: number of hours required to paint a house varies indirectly to the number of painters. If 5 painters…

A: Given query is to find the number of painter required to finish the work in 50 hours.

Q: Two friends take a 3000-mile cross country trip together, but they drive their own cars. Car A has a…

A:

Q: Three times the sum of a number and four is twenty-four less than four times the number

A: To find the number.

Q: Five times the sum of a number and seven is fifteen. Find the number.

A:

Q: In a discount clothing​ store, all sweaters are sold at one fixed price and all shirts are sold at…

A: Answer-

Q: Two cars leave town A at the same time and travel to town B, 480 miles away. The speed of the slower…

A: Given: Total distance = 480 miles    Let the speed of the fastest car(car A ) = x mph Then the speed…

Q: Sarah has 3 more than twice as many books as George. If Sarah has 13 books, how many books does…

A: Since, it is given that Sarah has 3 more than twice as many books as George.Given that Sarah has 13…

Q: Determine when the cost of the two services will be the same amount, and what the price will be. One…

A: One cable television provider has $70 setup fee and charges $90 per month and another cable provider…

Q: Two​ bikers, Jose and​ Luis, start at the same point at the same time and travel in opposite…

A: Given,            Two​ bikers, Jose and​ Luis, start at the same point at the same time and travel…

Q: Two high-speed ferries leave at the same time from a city to go to the same island. The first ferry,…

A: The speed of first ferry, the cat, is vc = 39 miles per hour The speed of second ferry, the bird, is…

Q: The Richardson family and the Thomas family each used their sprinklers last summer. The Richardson…

A: We will solve the problem

Q: Nanna has two sisters, Laurel and Jennifer. Jennifer is twice as old as Laurel, who is 44 years…

A:

Q: A trucker drove 175 miles to make a delivery and returned home on the same route. Because of foggy…

A:

Q: One number, x, is 12 more than half another number, y. The sum of the numbers is 60. What are the…

A:

Q: Thus, Dani's current age is

A:

Q: An apartment complex contains 230 apartments each having one two or three bedrooms.The number of two…

A: Let x be the 2 bedroom apartments Let y be the 3 bedroom apartments If they both = 230 then we need…

Q: Kabrina and dabney are attending a conference after the conference Kabrina drive home to boise at an…

A:

Q: Sweaters sold at one fixed price and all shirts sold at another fixed price. If one sweater and 3…

A:

Q: By increasing her usual speed by 20 kilometers per hour, a bus driver decreases the time on a…

A: This question is related to speed, time and distance, we will solve it using given information.