Suppose the two-variable equation y = 800 + 10x models the cost y of manufacturing x flash drives. If the company spends $9000 on manufacturing flash drives, then to find how many drives were manufactured, we solve the equation 90800

Q: A carpenter had two pieces of lumber that totaled 55 feet in length. The shorter piece was 12 feet…

A: Given :  length of longer piece = x short piece is 12 feet shorter Therefore, length of shorter…

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: 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: Translate the following situation into an equation.   The 347 students who listed soccer as their…

A:

Q: The equation x? + 3x – 10 = 0 has two solutions. Enter them below.

A:

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: Given: Speed of a car is 15 mph and speed of a truck is 32 mph. The car takes two and half hours…

Q: ..*.... The equation |x = 6 has the two solutions (smaller value) and (larger value).

A:

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

Q: write an equation whose solution is the given quantity. Then, solve for the appropriate quantity.…

A: Let x tons of wheat is bought by the government at W$/ton and let y number offighter planes are…

Q: 2. A summer movie club charges a $30 membership fe and then $5 per movie. Which equation can be used…

A:

Q: For the linear equation Y = 2X + 5, if X increases by 1 point, how much will Y increase

A: Solution

Q: A repairman works 70 hours. He charges $75 plus $40 per hour. Which equation shows this situation

A: Let Charge = y Time = x

Q: If 6x + y = 5 is a true equation, what would be the value of -9+ 6x + y?

A:

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

A:

Q: y = x - 3 x- y = 8

A: We Use the basic definition of plot a graph of lines. y= x-3------(1) x-y=8------(2) (1) can be…

Q: The value of stock A(x) can be represented as A(x) = 0.65x^2−8x+10 where x represents the number of…

A: We need to calculate how long it will take to both stocks be worth the same amount ⇒We need to find…

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

A:

Q: -2x +1+ x = 5-4-x

A:

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: Mr. Green sold 50 candy bars in a week when he priced each at $2. From his experience, he knows that…

A:

Q: At a community plant sale, a gardener buys 60 plants. Some cost $5 per plant and the rest cost $3…

A: Given,          At a community plant sale, a gardener buys 60 plants. Some cost $5 per plant and the…

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

A:

Q: What value of x makes the equation -4+12x=8

A: SOLUTION-

Q: Katherine has $140 in the bank and is saving $6 per week. Abbie has $462 in the bank, but is…

A: Let x be number of week Total money katherine have = $140 + $6x Total money Abbie have = $462 - $10x

Q: The solution set of the equation | x | = 5 is { ________ }.

A: To find the solution

Q: Due to the closure of the pulp and paper mill, the popu If there are now 2400 people living in the…

A:

Q: Given the following equation y=8x-5, if x doubles what happens to y? divided by the value of _______

A: Given equation

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

A:

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

A: Given x^2 = 720 – 5p^2 ------(1) Where x = no. of catriges P = price Given that dP/dt = -$1/week If…

Q: A tree farm charges $75.00 for a 5 - foot orange tree and $50.00 for delivery regardless of the…

A: A tree farm charges $75.00 for a 5 foot orange tree and $50.00 for delivery and delivery charge is…

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

A:

Q: Given the equation y = -4x + 1, find the value of y if x = 5

A: Given,           The equation is y=-4x+1.

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: if x equals 6 how would i sove this equation   x-10(2x+8)-43+25=

A: Given expression is as follows

Q: Guess one solution of the equation   ax² + (b + c)x= (a + b + c) =0   and then determine the…

A: Note - There is a mistake in written question. The last =0 is redundant here.  First we have to…

Q: Chinchulinas telecommunications charges $0.12 per minute of phone use plus a monthly service fee of…

A:

Q: how would i make a table of values for this equation? y=x^3+3x^2-6

A: Given : y = x3 + 3x2 - 6 To find : Corresponding values of x and y Solution : As there is no…

Q: Two cyclist, 64 miles apart, start riding toward each other at the same time. One cycles 3 times as…

A: given: Two cyclist, 64 miles apart, start riding toward each other at the same time. One cycles 3…

Q: Kate and Jean paint a house together in 6 days. If they work alone, Kate takes 5 fewer days than…

A:

Q: Dilbert needs to mix a 10% alcohol solution with a 50% alcohol solution to create 100 millileters of…

A: Let x ml=the quantity of 10% alcohol solution. So, the quantity of 50% alcohol solution is (100-x)…

Q: Which equation represents the scenario? Michelle's new car cost $30,000, and its value will…

A: Initial price of car is $30,000 Annual rate of depreciation r is- r=12.5%⇒r=0.125 Let the total time…

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 equation A = 200(2)". can also be written as:

A: We have to rearrange  the given equation.

Q: Thomas is 2 years more than twice the age of Peter, and the product of their age is 24. Which of the…

A: Let, The age of peter is ''x'' years. Since the age of Thomas is 2 years more than twice the age of…

Q: The equation |x| = 3 has two solutions               and                  .

A: To fill: The statement "The equation |x| = 3 has two solutions ______ and ______ . Given…

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.