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7-1 Ratios and Proportions

7-1 Ratios and Proportions. 16:9. 4:3. Ms. Andrejko. Vocabulary. Ratio- a comparison of 2 quantities using division a to b ; a:b ; a / b Extended Ratios - used to compare 3 or more quantities a:b:c  a:b , b:c , a:c. Vocabulary (cont.).

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7-1 Ratios and Proportions

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  1. 7-1 Ratios and Proportions 16:9 4:3 Ms. Andrejko

  2. Vocabulary • Ratio- a comparison of 2 quantities using division • a to b; a:b ; a/b • Extended Ratios- used to compare 3 or more quantities • a:b:ca:b , b:c, a:c

  3. Vocabulary (cont.) • Proportion- an equation stating that 2 ratios are equal • Extremes: a & d • Means:b & c • Cross Product: the product of the means and the product of the extremes a b c d =

  4. Equivalent Proportions

  5. Examples • A tight end scored 6 touchdowns in 14 games. Find the ratio of touchdowns per game. • In a schedule of 6 classes, Marta has 2 elective classes. What is the ratio of elective to non-elective classes in Marta’s schedule? • A worker at an automobile assembly plant checks new cars for defects. Of the first 280 cars he checks, 4 have defects. If 10,500 cars will be checked this month, predict the total number of cars that will have defects.

  6. Practice • One ounce of cheddar cheese contains 9 grams of fat. Six of the grams of fat are saturated fats. Find the ratio of saturated fats to total fat in an ounce of cheese. 2. The ratio of goats to sheep at a university research farm is 4:7. The number of sheep at the farm is 28. What is the number of goats? • Out of 274 listed species of birds in the United States, 78 species made the endangered list. Find the ratio of endangered species of birds to listed species in the United States.

  7. Examples • Solve each proportion

  8. Practice • Solve each proportion

  9. Examples • The ratio of the measures of the sides of a triangle is 3:5:7, and its perimeter is 450 centimeters. Find the measures of each side of the triangle. • The ratio of the measures of the sides of a triangle is 4:6:8, and its perimeter is 126 feet. What are the measures of the sides of the triangle?

  10. Practice • The ratio of the measures of the sides of a triangle is 3:4:6, and its perimeter is 104 feet. Find the measure of each side of the triangle. • The ratio of the measures of the sides of a triangle is 6:7:9, and its perimeter is 77 centimeters. Find the measure of each side of the triangle.

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