A company pays $30 per hour for up to 8 hours of work. What is the equation for total pay (y) for hours worked (x), for 0-8 hours of work (x

Q: The sum of two positive numbers is 4 and the sum of their squares is 28. What are the two numbers?

A: Let the two numbers are x and y.Given that their sum =4 So, x+y=4

Q: A dietician has learned from a nutrition book that his family needs at least 300 grams of protein…

A:

Q: 8. A manufacturing firm sells the commodities it produced at 200 pesos per unit. If the total cost…

A: Given, Selling price of one unit of commodities = 200 Pesos commodities produced each day = x units…

Q: Tom has just received a new job offer, he is told that his starting salary will be $75,000 per year,…

A:

Q: What are the dimensions of a rectangle whose area is 40 square centimeters and whose perimeter is 26…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: A jumbo chocolate bar with a rectangular shape measures 12 centimeters in length, 7 centimeters in…

A: Given information: Length=12 cm width = 7 cm Thickness = 3 cm

Q: If the final exam for the lesson of construction materials has given weight to the theoretical part…

A: Given : Weight to the theoretical part is three times the practical part which means, Out of 100%…

Q: What is the selling price of an item with $100 cost and a mark-up equal to 35% of the selling price

A: Given: Cost price is $100 Let the selling price be $x Then according to question  Mark up =35% of…

Q: The sum of two numbers is 1.  What is the smallest possible value of the sum of their squares?

A: Let x be one number, Then other number is 1-x

Q: An author works on a new book and after writing a few chapters, begins a new plan to write 600 words…

A:

Q: A long-distance telephone call costs 20 cents for the first three minutes and 40 cents for each…

A: We can find the answer as below.

Q: Tarmizi has 2x goats already available for sale. Each scanned goat is sold at a price of RM…

A: Find your answer below

Q: A jumbo chocolate bar with a rectangular shape measures 12 centimeters in length, 7 centimeters in…

A: Given Chocolate bar of length 12 cm and width 7cm and height (thickness) 3cm

Q: solve: fx"- 4x-3y=et-6 5x+y + 4y = 8+ cost

A:

Q: A cyclist managed to ride 5 miles against the wind in the same time than it took him to ride 10…

A: Let x be the speed of the cyclist and the speed of the wind is 4 mph.

Q: How many ounces of pure nickel must be added to 135 ounces of alloy 65% nickel to produce an alloy…

A:

Q: cyclist manage to ride 5 miles against the wind and the same time that it took to ride in 10 miles…

A:

Q: For a certain company, the cost for producing x items is 55x+300 and the revenue for selling x items…

A: The cost for producing x items is 55x+300 and the revenue for selling x items is 95x-0.5x2.

Q: If the difference when −15 is subtracted from x is twice the difference when 24 is subtracted from…

A: If the difference when −15 is subtracted from x is twice the difference when 24 is subtracted from…

Q: A wild birdseed mix is made by combining 150 lb of millet seed costing $0.40 per pound with…

A: Let L be the lower concentration of available material.     H be the higher concentration of…

Q: In the first step of the substitution method, how do I know which variable to isolate and in which…

A: In substitution method, isolate the variable that do not have a coefficient in any one of the given…

Q: A printer charges $2.85 for binding plus 5 cents per page for each copy of community groups annual…

A:

Q: For a certain company, the cost for producing x items is 55x+300 and the revenue for selling x items…

A:

Q: The number of players leaving the league can be calculated by starting with the quantity of four…

A: The objective of the question is representation to equation of the given situation.

Q: the cost of tuition at a certain college varies directly as the number of credit hours taken for the…

A: Cost of 13 credit hours = $ 1079 Cost of 1 credit hour = 1079/ 13…

Q: A 21-foot rope is cut into 2 pieces. Seven less than three times the length of the longer rope piece…

A: Given that a rope is cut into 2 pieces. Here seven less than three times the length of the longer…

Q: The cost of driving your car every year is dependent on many variables, including the number of…

A: Given   buy a new hybrid car that gets 60 mpg. Gas will be $3.10 a gallon and your fixed costs will…

Q: A Company manufactures furniture such as sofas and tables. In their current inventory, a total of 48…

A: Let x sofas and y tables are to be made in order to maximize the profit. Max Z =   6 x + 2 y…

Q: uppose a stereo receiver manufacturer has the total cost function C(x) = 210x + 3300 and the total…

A:

Q: A film company is deciding on the price of the video release on one of its films. Its marketing…

A: Explanation: Given that,  The price of $p and the quantity q=250000-10000p, each $2 Revenue…

Q: A wild birdseed mix is made by combining 150 lb of millet seed costing $0.60 per pound with…

A:

Q: Suppose the relationship between Y and X is given by: Y =  -5 - 10X By how much does Y change if X…

A:

Q: Suppose the cost per ton, y, to build an oil platform of x thousand tons is approximated by…

A: Suppose the cost per ton, y, to build an oil platform of x thousand tons is approximated by

Q: The total costs for a company are given by C(x) = 2400 + 90x + x2 and the total revenues are given…

A:

Q: In a certain electronic factory, the ratio of the number of male to female worker is 2:3. If one…

A: To find: The original number of workers in the factory. Given information: In a certain electronic…

Q: the selling price for a classic speedboat is $10,000. what was the speedboat’s original price if it…

A: The selling price for a classic speedboat is $10,000. To determine the speedboat’s original price if…

Q: Jessica, Casey, and Katherine decided to start a web design company and made investments in the…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

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: The accountant of an agricultural company is asked to make a report about the commodities, and…

A:

Q: Between 2010 and 2016, the average rate of inflation was about 1.6% per year. If a cart of groceries…

A: Solution

Q: JC Company manufactures furniture such as sofas and tables. In their current inventory, a total of…

A:

Q: The sum of two positive number is 16. What is the smallest possible value of the sum of their…

A:

Q: Your company can manufacture x hundred grade A tires and y hundred grade B tires a day, where 0…

A: Given Your company can manufacture x hundred grade A tires and y hundred grade B tires a day

Q: Find the numbers of units that must be sold to give zero revenue. Price is p=9000-0.1x2 Revenue is…

A: Consider the given revenue.

Q: the average yearly salary of a construction worker is $11 thousand less than three times that of a…

A: Consider "x" is the average yearly salary of a construction worker and "y" is the average yearly…

Q: retailer bought a number of ballpens for Php90.00 and sold all but 3 at a profit of Php2.00 per…

A: Given query is to find the selling price of ball pen.

Q: A cell phone carrier charges a fixed monthly fee plus a constant rate for each minute used. Part 1.…

A: Suppose that the monthly fee is X dollars and the constant rate for each minute is y dollars.

Q: The manager of a farmers market has 500 lb of grain that costs $1.20 per pound. How many pounds of…

A: Let x pounds of meal be mixed.

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.