How many square feet of carpeting are needed to carpet a 12-foot × 12-foot room?
Answer(s): D
Square footage is determined by multiplying length by width, or 12 × 12 = 144.
Carpet stain protector costs $0.65 per square yard to apply.How much will it cost to apply the protectant to a 16-foot × 18-foot carpet?
Answer(s): C
To determine the number of square yards to be protected, multiply 16 feet by 18 feet to determine the number of square feet, 288. Then divide 288 by 9 to convert square feet to square yards (1 square yard = 3 feet × 3 feet = 9 square feet). Multiply the quotient, 32 square yards, by the cost of protection per square yard, $0.65, to get the correct answer, $20.80. Remember to perform all the steps in a calculation.
A printing plant that produces baseball cards has a monthly overhead of $6,000. It costs 18 cents to print each card, and the cards sell for 30 cents each.How many cards must the printing plant sell each month in order to make a profit?
Let x = the number of cards printed and sold each month. Therefore, cost is equal to 6000 + 18x, and revenue is equal to 0.30x. You're looking for the point where revenue is greater than the cost (revenue > cost). The inequity is 0.30x > 6000 + 18x. Subtracting 18x from both sides of the inequity results in 0.12x > 6000. Divide both sides by 0.12. The result is that x > 50,000. The printing plant would have to print and sell 50,000 cards per month to make a profit.
Joe received an hourly wage of $8.15. His boss gave him a 7% raise.How much does Joe make per hour now?
To calculate the new wage, start off by multiplying $8.15 × 0.07 = $0.57. Then add that number (the amount of Joe's raise) to his original hourly wage. Joe's new hourly wage is $8.15 + $0.57 = $8.72.
Alice leaves her house, driving east at 45 miles per hour (mph). Thirty minutes later, her husband Dave notices she forgot her cell phone and sets off after her.How fast must Dave travel in order to catch up with Alice 3 hours after he leaves?
By the time Dave leaves, Alice has already been traveling for half an hour. Three hours later, she would've been traveling for 31/2 hours at 45 mph, or 157.5 miles. In order to travel 157.5 miles in 3 hours, Dave would have to travel at 52.5 mph (divide 157.5 by 3).
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