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How many minutes does it take Garrett to wash one car? 72 minutes divided by 3 cars = 24 minutes per car#3 Write the ratio of 9 nickels to 3 quarters in simplest form. 9 nickels = 45 cents 3 quarters = 75 cents 45 to 75 Divide by 5: 9 to 15 Divide by 3: 3 to 5#4 Determine whether the pair of fractions is proportional: EMBED Equation.3 Divide the top and bottom of the second fraction by 2: 4/13 That is the same as the first one, so YES, they are proportional.#5 On the blueprint of Lauren's new office building, the scale is 3 inches equals 8 feet. What will be the actual length of Lauren's office if it measures 6 inches long on the blueprint? 3/8 = 6/x Cross multiply: 3x = 48 Divide by 3: X = 16 feet#6 Are these two rates of rainfall equivalent? 1.2 inches of rain in 5 hours and 2.1 inches of rain in 8 hours Divide: 1.2/5 = 0.24 2.1/8 = 0.2625 NO, not the same#7 A state sales tax rate is 4.8%. If the tax on a purchase was $23.76, what was the price of the purchase? 23.76 divided by 0.048 = $495#8 A new car depreciates an average of 22% in its first year of use. If the car was worth $16,000 when it was new, what will the car be worth after 1 year? Take the value and subtract off 22%: 16000 0.22*16000 = $12480#9 Ms. Jefferson has been given a loan of $20,000 for 1 year. If the interest charged is $800, what is the interest rate on the loan? Rate = interest/loan = 800/20000 = 0.04 Multiply by 100 to get the percent = 4%#10 Write 58% as a fraction or a mixed number. = 58/100 Divide the top and bottom by 2: = 29/50#11 260 is 40% of what number? 40% = 0.4 260 divided by 0.4 = 650#12 A chemist has 400 milliliters of solution that is 21% acid. How many milliliters of acid are in the solution? 21% = 0.21 Multiply by 400: 400*0.21 = 84 ml#13 What is 30% of 200? Multiply 30% and 200: 30%*200 = 0.3*200 = 60#14 11% of what number is 77? 0.11x = 77 Divide by 0.11: X = 77/0.11 = 700#15 Write EMBED Equation.3 as a percent. Convert it to a decimal: 3/8 = 0.375 Multiply by 100: 37.5% #16 Write 30% as a fraction. Divide by 100 to convert to decimal: 0.3 = 3/10#17 The electricity costs of a business increased from $10,000 one year to $13,000 the next. To the nearest whole percent, what was the rate of increase? Rate = increase/old = (13000-10000)/10000 = 3000/10000 Cancel out 3 zeros = 3/10 = 0.3 = 30%#18 Label the triangle as equilateral, isosceles, or scalene.  The angles in a triangle add to 180. Solve for the last angle: 180-60-60 = 60 All the angles are the same, so: It is equilateral.#19 Subtract. 8 gallons 1 quart - 3 gallons 2 quarts Remember that 1 gallon = 4 quarts Borrow 1 gallon from the first quantity: 7 gal 5 qt 3 gal 2 qt = 4 gal 3 quart#20 m "B = 60. Find the complement of "B. Complements add up to 90: 90  60 = 30 degrees#21 Is the object a line or a line segment? Why?  This extends infinitely in each direction (because there are arrows at the end), therefore it is a line (unless you are only considering the part strictly between A and B, but I dont think thats the case).#22 Find the missing length of the right triangle.  Pythagorean Theorem: a^2 + b^2 = c^2 20^2 + 48^2 = c^2 400 + 2304 = c^2 C^2 = 2704 Square root: C = 52#23 What two whole numbers is EMBED Equation.3 between? Sqrt(16) = 4 Sqrt(25) = 5 So its between 4 and 5.#24 Complete the statement. 35 gallons = _____ L 1 gallon = 3.78541178 liters Multiply by 35: = 132.4894123 liters#25 Is the object a line or a line segment? Why?  Between A and B is a line segment, since it does not extend infinitely in each direction. Finished? I encourage you to go back and check each answer. Did you show all your work? Did you label every answer?     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