A car travel at 15 mph and a truck travel at 32 mph. The car needs two and a half hours more than the truck to travel the same distance. Translate to equation

Q: The sum of two consecutive whole numbers is 153. Write an equation that can be used to determine the…

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Q: if 14 is added to a number, the result is 38 less than twice the number. find the number

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Q: At an amusement park 40 percent of the tickets were sold in the first hour if 800 tickets were sold…

A: Given that  Percentage of tickets sold in first hour=40%=0.40 Number of tickets sold in first…

Q: The president of a company traveled 1700 mi by jet and 300 mi on a prop plane. The rate of the jet…

A: Here, the rate of the jet and prop plane is the speed. Therefore, the speed of jet = 3 times the…

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: A management consultant estimates that the number h of hours per day that employees will work and…

A: At p = 300 h is comes as put the value in given equation

Q: Carlos' grandmother will give him $20 plus $5 for every hour that he completes yard work. This…

A: Given Total fixed amount given by his grandmother                                     = $20 amount…

Q: Two friends, Peyton and Aaron, took summer jobs. The equation y = 29.8x represents Aaron's earnings…

A: To get the Aaron earning per hour put x=1, So we get Aaron earning = $29.8 per hour.. Now it is…

Q: Tom, Kristen, Kaley, and Bill bought 3 granola bars to share among themselves. They divided each…

A: Given that Tom, Kristen, Kaley and Bill bought 3 granola bars to share among themselves. They…

Q: A bus traveled on a level road for 5 hours at an average speed 20 miles per hour faster than it…

A: The relation between speed time and distance is given by; Speed=Distance time

Q: three times the sum of b and 8 is equal to negative 48   translate to an equation

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Q: Two friends, Chloe and Gianna, took summer jobs. The equation y = 29.8x represents Gianna's earnings…

A: Calculate the slope m of the line for Chloe's earning is given by y2-y1x2-x1 substitute the values…

Q: Nicci's sister is 7 year less than twice nicci's age, a. The same of nicci's age and her sister's…

A: Given: Nicci's sister is 7 years less than twice Nicci's age The age of Nicci's is a. The sum of…

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: One gram of protein contains 4 Calories, one gram of fat contains 9 Calories, and one gram of sugar…

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Q: A collection of pennies and nickels has the value of $1.59. There is one more than twice as many…

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Q: A moving company charges $250 to rent a truck and $.40 for each mile driven. Mr. Lee paid a total of…

A: As per the company guidelines I'm restricted to solve your first question only. If you want to solve…

Q: a boat travels 150 mile upstream in 10 hours, and the return trip downstream takes 6 hours.  find…

A: Let x be the speed of the boat in still water and let y be the speed of the current.Then,Speed…

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: Translate into equation. When four is multiplied by 7 less than a number, the result is 10 less…

A: When four is multiplied by 7 less than a number, the result is 10 less than 6 times the number. Let…

Q: A plumber charges $50 to come to your house and $30 for every hour of labor.   How much will it cost…

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Q: Maxine and Sammie also have to mow their parking strips that are the same size. Maxine can mow her…

A: Given: Maxine and Sammie have to mow their parking strips that are the same size. Maxine can mow her…

Q: two times the sum of a number and 3 equals 5   Is this written as : 2x+3=5

A: Two times the sum of a number and 3 equals 5.

Q: A cab company charges a $10 boarding fee and a meter rate of $2 per mile. The equation is y=2x+10…

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Q: among the career home run leaders for major league baseball, hank Aaron has 175 fewer than twice the…

A: Let x be the number of runs hits by the Hank Aaron, which is 755 home runs and let y be the number…

Q: The length of a rectangle is twice the width. If the perimeter is 42 inches, what are the length and…

A: If l is length and w is width then 1. Perimeter of rectangle= 2*(l+w).

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: a freight train leaves Austin at a speed of 60 km/h. Two hours later, an Amtrak train leaves Austin…

A: To determine the time when the two train will meet again.

Q: Can you only do the equation part?

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Q: A bus traveled on a level road for 2 hours at an average speed 20 miles per hour faster than it…

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Q: The school store has 1200 pencils in stock and sells an average of 25 pencils per day. The manager…

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Q: As you leave​ bakery, the sign says LA ​150 miles, OT 190 miles. If the Planet Diner is halfway…

A: OT and LA may be situated in same side of bakery or in opposite side....so I have discussed both…

Q: The cost of a plastic sewer pipe varies jointly as its diameter and its length. If a 20-foot pipe…

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Q: Three times the sum of a number and eight is eighteen less than six times the number

A: Let the number be x.

Q: The cost of a big tub dog treats is two times that of a small one plus 3 dollars. if a big tub of…

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Q: 1. A mobile internet company charges 90 pesos per week plus 2 pesos charge per minute of internet…

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Q: During one month, the cost for renting a car in Mobile, Alabama was $68.22 per day plus 25 cents per…

A: The general form of the regression equation is, y = a+bx Where 'y' is the response variable, 'a' is…

Q: The height of a ball that is launched from the ground is given by taking -16 times the time in…

A: The height of a ball that is launched from the ground is given by taking -16 times the time in…

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: The sum of a number and 6 is 8 more than twice the number the equation that could be used to find…

A: Given: The sum of a number and 6 is 8 more than twice the number.

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: A boy rides away from home in an automobile at the rate of 28 miles an hour and walks back at the…

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Q: A licensed nurse practitioner is instructed to give a patient 2100 milligrams of an antibiotic over…

A: A licensed nurse practitioner is instructed to give a patient 2100 milligrams of an antibiotic over…

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

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Q: The number of calories, c, burned varies directly with the amount of time, t, spent exercising.…

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Q: solve the equationy + 0.4 = 0.6(y+ 2)

A: We havey+0.4 = 0.6(y+2)Open the bracket, we gety+0.4 = 0.6y+1.2

Q: If the equation y = 50x + 25 represents the amount of (y) money it costs to rent a car for (x) days,…

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Q: The perimeter of a rectangular pool is 320 yards. If the length is 20 yards less than twice the…

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Q: A manufacturer can produce 5400 cell phones when x dollars is spent on labor and y dollars is spent…

A: a) the given equation, 100x34y14=5400⇒x34 y14=54⇒y14=54x-34now differentiate both side with respect…

Q: In 2012, the average home cost was $267,000 in my hometown of Fillmore. In 2021, the average rose to…

A: In 2018 , the average home cost will be

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.