15. In their 2018 Stanley Cup—clinching game, the Capitals had two more shots on goal than the Golden Knights. Together, they had 64 shots. How many shots did each team have? 17. A 12-oz cup of...

Math homework


15. In their 2018 Stanley Cup—clinching game, the Capitals had two more shots on goal than the Golden Knights. Together, they had 64 shots. How many shots did each team have?  17. A 12-oz cup of regular coffee at Starbucks has 13 times the amount of caffeine found in the samesized serving of decaffeinated coffee. Together they contain 280 mg of caffeine. How much caffeine is in each type of coffee? 19 In the sophomore class at Dixon High School, the number of students taking French is two-thirds of the number taking Spanish. How many students are studying each language if the total number of students in French and Spanish is 310? 21. A plumber has a 36-in. pipe. He must cut it into two pieces so that one piece is 14 in. longer than the other. How long is each piece? 23. Trisha has a 28.5-in. piece of wire to make a necklace and a bracelet. She has to cut the wire so that the piece for the necklace will be twice as long as the piece for the bracelet. Find the length of each piece. 25. Derek orders a 6-ft sub sandwich for himself and two friends. Cory wants his piece to be 2 ft longer than Tamara’s piece, and Tamara wants half as much as Derek. Find the length of each person’s sub. 27. The sum of three consecutive integers is 126. Find the integers. 29. Find two consecutive even integers such that twice the smaller is 16 more than the larger. 31.Find three consecutive odd integers such that their sum is five more than four times the largest integer 33. Two consecutive page numbers in a book add up to 215. Find the page numbers. 35. In a fishing derby, Jimmy caught six more trout than his sister Kelly. How many fish did each person catch if they caught a total of 20 fish? What is 14% of 52? 92 is 23% of what number? 1. 6.5% of what number is 9.75? Answers 1. 75 is what percent of 125? Answers What percent of 32 is 48? A baby stroller with a regular price of $69.00 is on sale at 20% off. 1. Find the amount of the discount. 1. Find the sale price. Korina buys a new phone for $148.00 and also has to pay 6.5% sales tax. Find the total cost of the phone. 1. 1. In March, Bruno paid $4.40 for a calendar, and this was 25% of the original price. What was the original price of the calendar? Corey saved $105.00 on a surfboard with a regular price of $525.00. What percent of the original price did he save? Sameet buys a computer for $460.00 plus $22.08 in sales tax. Find the sales tax rate. A TV with a regular price of $299.00 is on sale at 20% off. A three-ton floor jack is 35% off its regular price of $160.00. Katrina paid $25.50 for a box fan that was marked down 15%. Find the original price of the box fan. In 2019, there were about 1224 acres of farmland in Crane County. This is 32% less than the number of acres of farmland in 2010. Calculate the number of acres of farmland in Crane County in 2010. Jet Fi’s salary this year is 12% higher than it was three years ago. If he earns $43,120 this year, what did he earn three years ago? Jenna invests $800 in an account for one year earning 4% simple interest. How much interest was earned from this account? Rachel has a total of $5500 to invest for one year. She deposits $4000 into an account earning 6.5% annual simple interest and the rest into an account earning 8% annual simple interest. How much interest did Rachel earn? Javier receives a $12,000 signing bonus when he accepts a new job. He will invest some of it in an account earning 4% simple interest and the rest at 3% simple interest. If he will earn $410 in interest after one year, how much will Javier invest in each account? Last year, Taz invested a total of $7500 in two accounts earning simple interest. He invested some of it at 9.5% and the rest at 6.5%. How much did he invest in each account if he earned a total of $577.50 in interest last year? 1. Answers 1. I = PRT; If I = 600 when P = 2500 and T = 4, find R. 1. d = rt (Distance formula: distance = rate · time); If r = 36 and t = 0.75, find d. 1. C = 2πr; If C = 15π, find r. 1. P = s1 + s2 + s3 (Perimeter of a triangle); If P = 11.6 when s2 = 2.7 and s3 = 3.8, find s1. 1. S = 2πr2 + 2πrh; If S = 132π when r = 6, find h. 1. A rectangular tabletop has an area of 13.5 ft2. What is the width of the table if it is 4.5 ft long? 1. A rectangular storage box is 2.5 ft wide, 4 ft long, and 1.5 ft high. What is the storage capacity of the box? 1. The face of the clock on Big Ben in London has a radius of 11.5 ft. What is the area of this circular clock face? Use 3.14 for π. (www.bigben.freeservers.com) 1. If Reza drove 108 miles at 72 mph, without stopping, for how long did she drive? 1. A coffee can in the shape of a right circular cylinder has a volume of 50π in3. Find the height of the can if its diameter is 5 in. 1. A caution flag on the side of a road is shaped like a trapezoid. One base of the trapezoid is 1 ft shorter than the other base. Find the lengths of the bases if the trapezoid is 4 ft high and has an area of 10 ft2. Find the measure of each indicated angle.