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CH 2.3 Shadows and Proportions Proportions and Indirect Measurement

CH 2.3 Shadows and Proportions Proportions and Indirect Measurement. Corresponding Sides Rate Similar Unit rate. EXAMPLE #1. A D E F B C . AC = 4cm CB = 3CM DF = 12 CM FE = ? AC = CB DF FE 4 = 3 X 4x = 36 X = 9 FE = 9 CM.

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CH 2.3 Shadows and Proportions Proportions and Indirect Measurement

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  1. CH 2.3 Shadows and ProportionsProportions and Indirect Measurement Corresponding Sides Rate Similar Unit rate

  2. EXAMPLE #1 A D E F B C AC = 4cm CB = 3CM DF = 12 CM FE = ? AC = CB DF FE 4 = 3 X 4x = 36 X = 9 FE = 9 CM

  3. ?’s 2 - 7 2) 5 / 4 = 20 / FD ; 80/5 = FD ; 16 = FD ; DF = 16cm 3) 11/6 = x / 4; 6x = 44; 44/6 = x; x = 7.3333 in 4) 15/3 = h /5 ; 15*5 = 3h; h = 25 in 5) 7/25 = BC/300; BC = 84 m • 56/148 = 84/x ; x = 222 mm • MO = 26ft; 18/24 = 26/x; 34+2/3 ft = MR

  4. ?’s 2 - 7 2) 5 / 4 = 20 / FD ; 80/5 = FD ; 16 = FD ; DF = 16cm 3) 11/6 = x / 4; 6x = 44; 44/6 = x; x = 7.3333 in 4) 15/3 = h /5 ; 15*5 = 3h; h = 25 in 5) 7/25 = BC/300; BC = 84 m • 56/148 = 84/x ; x = 222 mm • MO = 26ft; 18/24 = 26/x; 34+2/3 ft = MR

  5. 8) A car was driven 243.4 miles and used 12 gallons of gas. How many miles could the car be driven per gallon of gas? 243.4 miles = x miles 12 gallons 1 mile 243.4 = 12x X = 20.283 For every gallon of gas, the car could be driven approx 20.3 miles.

  6. ?’s 9 – 10 • 16/11.99 = 1/x X = .75 Each roll costs 75 cents, or $0.75 10) 268/14 = x / 1 X = 19.1428 Everyday Stephanie must read over 20 pages each day to finish on time.

  7. ?’s 9 – 10 • 16/11.99 = 1/x X = .75 Each roll costs 75 cents, or $0.75 10) 268/14 = x / 1 X = 19.1428 Everyday Stephanie must read over 20 pages each day to finish on time.

  8. 2.6 Tipping in a Restaurant Writing a % as a decimal. If your number is larger than 10 percent. ##/100 = .## The percent is always out of 100% % as a decimal 100% = 11% = 10%= 9.9%= 1.1%= 1%= .1%=

  9. 2.6 Tipping in a Restaurant % as a decimal 100% = 1.00 11% = .11 10%= .1 9.9%= .099 1.1%= .011 1%= .01 .1%= .001

  10. Fraction to decimal decimal to % EX ) 5/8 = .625 = .625 * 100 = 62.5%

  11. Tip at a Restaurant • 10 % bad service • 15 % decent service • ~18% what I like to give • 20 % good service

  12. What percent tip was left for the wait staff? • Bill was $52.50; tip was $5.5 • Tip / Bill = %/100 • 5.5 / 52.5 = % / 100 • 5.5 * 100 = 52.5x • 550 = 52.5x • X = 10.476 • The tip was only ~10.5 % which means you were most likely bad service.

  13. What percent tip was left for the wait staff? • Bill was $52.50; tip was $5.5 • Tip / Bill = %/100 • 5.5 / 52.5 = % / 100 • 5.5 * 100 = 52.5x • 550 = 52.5x • X = 10.476 • The tip was only ~10.5 % which means you were most likely bad service.

  14. What percent tip was left for the wait staff? • Bill was $52.50; tip was $5.5 • Tip / Bill = %/100 • 5.5 / 52.5 = % / 100 • 5.5 * 100 = 52.5x • 550 = 52.5x • X = 10.476 • The tip was only ~10.5 % which means you were most likely bad service.

  15. Bill was $136.24 and the tip was $25.40, how well was your service?

  16. Bill was $136.24 and the tip was $25.40, how well was your service? • 25.4 / 136.24 = tip %/100

  17. Bill was $136.24 and the tip was $25.40, how well was your service? • 25.4 / 136.24 = tip %/100 • Tip % = 18.65 • Your service was average because the people left you an 18.65% tip.

  18. You want to leave a certain % tip! • You usually know the cost of your bill… • Now instead of the normal equation use • x/ BILL = tip % / 100

  19. EX) At the hair salon your cut, dye, shampoo, nails, and style cost $135. You want to leave a 16% tip. • How much is your total bill?

  20. EX) At the hair salon your cut, dye, shampoo, nails, and style cost $135. You want to leave a 16% tip. • How much is your total bill? • X = 16 • 135 100 X = 21.6

  21. EX) At the hair salon your cut, dye, shampoo, nails, and style cost $135. You want to leave a 16% tip. • How much is your total bill? • X = 16 • 135 100 X = 21.6 • Your total bill will be $156.60 including the $21.6 tip.

  22. 2.7 Taxes Deducted from Your PaycheckPercents and Taxes • Tax rate • Gross pay • Net pay • tax The (blank) is a percent used to calculate the amount of money taken out of your gross pay. (Blank) is the total amount of money an employee earns before any taxes or deductions are subtracted. (Blank) is the amount of money that an employee earns after deductions are subtracted from the employee’s gross pay. A (Blank) is a fee that is imposed by the government to pay for public works and services.

  23. Equation is set up very similar to Tip • When you know the gross pay, taxes, unknown is the %. • Taxes = % taxes • Gross 100

  24. Working all of my jobs this year I made: Gross pay = $56,000 and I payed Taxes = $13,440. How much of my income was taxed?

  25. Working all of my jobs this year I made: Gross pay = $56,000 and I payed Taxes = $13,440. How much of my income was taxed? 13440 = tax rate 56000 100 Tax rate = 24% My income was taxed at a rate of 24%.

  26. You grossed $36,000 the year after you graduated college. With a tax rate of 15.6% how much money do you have to pay the government?How much of your income is left to live off of?

  27. You grossed $36,000 the year after you graduated college. With a tax rate of 15.6% how much money do you have to pay the government? • Taxes paid = 15.6 • 36000 100 • You have to pay 5,616 in taxes.

  28. You grossed $36,000 the year after you graduated college. With a tax rate of 15.6% how much money do you have to pay the government? • Taxes paid = 15.6 • 36000 100 • You have to pay $5,616 in taxes. • You only have $30,384 left to spend.

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