The length of a rectangle is 5 yd more than twice the width x. The area is 738 yd2. Write an equation in terms of x that represents the given relationship

Q: A 450-gallon tank full of water is draining at a rate of 20 gallons per minute.

A: Initial amount of water in the tank=450-gallon Amount of water draining per minute=20-gallons 1)…

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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…

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Q: Kyle has already taken 4 pages of notes on his own, and he will take 2 pages during each hour of…

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Q: Solve for the value of x: 18 A 5x-7

A: Use Pythagorean theorem.

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A:

Q: Kyle has already taken 4 pages of 'notes on his own, and he will take 2 pages during each hour of…

A: On solving, we get

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

A: Let , Nicci's age is x years ∴Nicci's sister age : 2x-7

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Q: A ball is thrown in air and its height h(t) in feet at any time T in seconds is represented by the…

A: A ball is thrown in air and its height h(t) in feet at any time T in seconds is represented by the…

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…

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Q: A​ company's daily profit from the production and sale of electrical components can be described by…

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Q: y -1 - 10 -1 1 2 4,

A: Solution of given problem following below:

Q: The number x of printer cartridges that a store will sell per week and their price p (in dollars)…

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Q: 64 is 4 times the difference between Sarah's age, a, and 44.  Assue Sarah is older than 44.  Write…

A: Given 64 is 4 times the difference between sarah's age ,a and 44.

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: x represents the number of large coffees sold at the local coffee shop and y represents the total…

A: Given: Assume that, x represents the number of large coffees sold and y represents the total revenue…

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: The weight of a goat increased by 12 pounds is 38 pounds. Write an ADDITION equation to represent…

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Q: Mary wants to spend at least 20 minutes a day exercising. Write as an equation.

A: Given:Mary wants to spend at least 20 minutes a day exercising.

Q: The range of a set of scores is 28, and the lowest score is 31. Write an equation to find the…

A: Given range or difference between lowest and highest score; 28 lowest score(l); 31

Q: The width of a rectangle is half the length of the rectangle . The perimeter of the rectangle is 15…

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Q: When an object is removed from a furnace and placed in an environment with a constant temperature of…

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Q: Assume that the box has no top, the material needed to construct the base costs $5 per square foot,…

A: Consider x to be the side length and y be the height of the box. The area of the box is x2+4xy. The…

Q: During a 60-minute period, a traffic engineer counted 66 trucks and cars that crossed a bridge. The…

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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: The number of a certain type of bacteria, y, present in a culture is determined by the equation…

A: We have given that the number of a certain type of bacteria present in a culture is determined by…

Q: Solve the equation for x. x(x − 2) = 15

A:

Q: A flower-bed is in the shape of a triangle with one side twice the length of the shortest side and…

A: Solution:-  Given that a flower‐bed is in the triangle shape.   The shortest side is x   one…

Q: 64 is 4 times the difference between Sarah's age, a, and 44. Assume Sarah is older than 44. Write…

A: Given,          64 is 4 times the difference between Sarah's age, a, and 44. Assume Sarah is older…

Q: The width of a rectangular field is represented by x. The length of the rectangle is 5 more feet…

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Q: Two cyclists, 144 miles apart, start riding toward each other at the same time. One cycles 3 times…

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Q: One gram of protein contains 4 calories and one gram of fat contains 10 calories. If one servir of…

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Q: A coffee distributor needs to mix a(n) Gualtemala Antigua coffee blend that normally sells for…

A: Guatemala Antigua coffee blend sells for $10.70 per pound Gazebo coffee blend sells for $14.00 per…

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: Write an equation to represent the situation. "If three times Alisha's age 6 years ago was…

A: Solve as general

Q: Colleen has already walked 1 kilometer this week,plus she plan to walk 6 kilometers during each trip…

A: Given that Colleen walked  1 kilometer and plan to walk 6 kilometer each trip so total trip = 7

Q: If a loaf of bread requires 1¼ cups of flour, then how many loaves of bread can be made with 10 cups…

A:

Q: The length of one side of a shoebox is 8 centimeters more than twice the width. The base of the…

A: Let, length=l Beadth=b width=w The length of one side of a shoebox is 8 centimeters more than twice…

Q: During migration, a monarch butterfly might fly an average of 50 miles per day. Which equation shows…

A: By distance time formula: Speed=distancetime Substitute Speed=50 miles/day, distance=m and time=d in…

Q: long will it take the pipe to fill the pool if the drain is left open?

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Q: how many loaves

A: answer is in next step

Q: Every year, a video game console that cost $2500 loses around 10% of its value. a) Create an…

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Q: solve the x of this equation: x2-4x-5=0 please help me

A: Please refer the attached image for complete solution.

Q: The height of a cannonball, h, in meters, over time, t, in seconds, as it is shot off a platform can…

A: The height of a cannonball h, in meters, over time t, in seconds, as it is shot off a platform can…

Q: Emanuel can paint a room in 6 hours. Tom can paint the same room in 8 hours. How long does it take…

A: Given Emanuel can paint a room in 6 hours Tom can paint the same room in 8 hours

Q: A guitar factory has a cost of production C(x)=75x+60000, where X is the number of guitars produced.…

A: It is given that, the cost of production is C(x)=75x+60000.The company needs to break even after 200…

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.