A manufacturer can produce sunglasses at a cost of $5 a piece. It is estimated that if the sunglasses are sold for x dollars a piece, consumers will buy 2000 − 100x of them.

Q: If the Canadian dollar is worth 22% less than the U.S. dollar, by what percentage does the U.S.…

A: Solution

Q: 4/5 of an amount is $20. How many dollars is the full amount?

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Q: if an object costs $555 when new, and $80 after 5 years, what does it cost after 3 years?

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Q: If the 500W motor of a refrigerator runs for 3.60 h/day, how much does it cost to operate over 30…

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Q: If a is inversely proportional to the cube root of b, what happens to a if b is 64 times as much as…

A: topic - ratios and proportion

Q: 2/3 of what is 18

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Q: If a gorilla weighs 600kg and each month he loses 3.12% of his weight. How much will the gorilla…

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Q: f you buy one bottle of shampoo Brand A at the regular price of $4.50, you can buy a second bottle…

A: One bottle of A costs = $4.50and second bottle costs= 4.502 = $2.25 Total cost for 2 bottle of A…

Q: If a child requires 120 mL of medicine every 12 hours for exactly 30 days, and the medicine costs…

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Q: 1/3 of James's money is equal to 1/2 of Henry's money. James has $54 more than Henry. How much money…

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Q: Josh live 1 4/5 miles from the park. So far he walked 2/3 of the distance from his house to the…

A: Here we have to find out the how many distance josh walk

Q: The price of a new $20,000 car today is expected to increase at an average rate of $950 per year.…

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Q: The median annual income for people with a high school diploma is $7,502 more than that for those…

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Q: A real estate company bought a parcel of land containing 282 acres and plans to divide it into lots…

A: Here, total area=282 acres One third of the land must be used for streets. Then, the area used for…

Q: speed below 65 mph, a trucker will save 1.5% in fuel consumption. If a trucker reduces her average…

A: Given that , For every 1-mph reduction of average speed below 65 mph, a trucker will save 1.5% in…

Q: If porcelain insulating tubes cost $10.56 per thousand, what is the loss to a school over a period…

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Q: 1/5 of tom's height is equal to 1/3 of jerry's height. If their total height is 320 centimeters,…

A: Given: 1/5 of tom's height is equal to 1/3 of jerry's height. If their total height is 320…

Q: When a drug such as a pain killer or an antibiotic is introduced into the body, the kidneys work to…

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Q: y car can travel 150 miles with a full gas tank. Now the deposit has 2/6 of the total. How many…

A: We can cover a total of 150 miles with full tank, miles in kilometer = 150×1.6=240 kilometers Now,…

Q: a cereal box has a length of 8 inches and a width of 1 3/4 inches, and a height of 12 1/2 inches. if…

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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.