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A roll of ribbon was 12 meters long. Diego cut 9 pieces of ribbon that were 0.4 meter each to tie some presents. He then used the remaining ribbon to make some wreaths. Each wreath required 0.6 meter. For each question, explain your reasoning.
How many meters of ribbon were available for making wreaths?
How many wreaths could Diego make with the available ribbon?
The Amazon rainforest in South America covered 6.42 million square kilometers in 1994. In 2014, it covered only \(\frac{50}{59}\) as much. Which is closest to the area of the Amazon forest in 2014?
6.4 million km2
5.4 million km2
4.4 million km2
3.4 million km2
In a 80-meter hurdle race, there are 8 equally-spaced hurdles on the track. The first hurdle is 12 meters from the start line and the last hurdle is 15.5 meters from the finish line.
Draw a diagram to show the information in this situation.
To qualify for a popular game show, a candidate needs to take 5 tests and earn at least 90 percent of the total number of points possible. The table shows a candidate's results before the final qualifying test.
Does the candidate have 95% of the total possible points before the final test? Explain or show your reasoning.
| candidate's points | total points possible | |
|---|---|---|
| Test 1 | 141 | 150 |
| Test 2 | 87 | 100 |
| Test 3 | 81 | 100 |
| Test 4 | 91 | 100 |
Find the following differences. Show your reasoning.
Find these quotients. Show your reasoning.
At a school, 460 of the students walk to school.
The number of students who take public transit is 20% of the number of students who walk. How many students take public transit?
The number of students who bike to school is 5% of the number of students who walk. How many students bike to school?