Question

PLEASE HELP 50 POINTS AND BRAINLIEST!!!!!!!

1. Claire and her partner, Grace, are throwing for the javelin event as a team. Claire threw the javelin 42 5/8 feet and Grace threw it 39 3/5 feet. How far did the team throw the javelin? Show your work.

2. If the total distance of Claire and Grace’s javelin throw is greater than 82.5 feet, then the seventh graders earns 50 points. If not, the eighth graders earn 50 points. Which grade should be awarded 50 points?

3. For the high jump, each competitor receives multiple opportunities to clear the bar at each height. On average, Shane completes 2 out of 3 jumps on the lowest bar, 4 out of 6 jumps on the middle bar, and 1 out of 4 jumps on the highest bar. Write an equation that you could use to find Shane’s overall average number of jumps completed. Calculate Shane’s average using the equation.

4. If Shane’s average number of jumps completed is greater than one-half, then the eighth graders earn 50 points. If not, the seventh graders earn 50 points. Which grade should be awarded 50 points?

Answer 1

1. 42 5/8 + 39 3/5
 Find common denominator for the fractions and rewrite them using the common denominator:

5/8 = 25/40
3/5 = 24/40

25/40 + 24/40 = 49/40 = 1 9/40

1 9/40 + 42 + 39 = 82 9/40 feet

2. 9/40 = 0.225, plus 82 feet = 82.225 feet,  this is less than 82.5, so the 8th graders earned the 50 points.

3. The equation would be the total of completed jumps divided by the total number of attempts:
(2 +4 + 1) / (3 + 6 +4) = 7/13 = 0.538 average.

4. 0.538 is greater than 1/2 ( 0.50), so the 8th graders earned 50 points.

Answer 2

1. 82 9/40 feet

2. 8th graders earned the 50 points.

3. 0.538 average.

4. the 8th graders earned 50 points.