SOLUTION: Q 1: why is drawing a diagram a good strategy for solving problems? Q 2: Is drawing to determine how many games have to be played to determine a champion from 32 teams in a sing

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Question 62822This question is from textbook
: Q 1: why is drawing a diagram a good strategy for solving problems?
Q 2: Is drawing to determine how many games have to be played to determine a champion from 32 teams in a single elimination softball tournament?
Q 3: Look at the staircase at the right. How many cubes would be needed for a staircase with seven steps?
Q 4: Sybil's score on her math test is 89. some of the questions are worth 5 points and the rest of the questions are worth 2 points. The teachers gave no partial credit for any questions. If 37 promblems are correct, how many 5 points questions did Sybil answer correctly? This question is from textbook

Answer by 303795(602) About Me  (Show Source):
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Question 1
One requiring your own answer

Question 2
If a team is eliminated after one losing game then 31 teams will be eliminated so there will be 31 games.

Question 3
Staircase??

Question 4
If 5 point questions correct are represented by x and 2 point questions correct are represented by y then
5x + 2y = 89 (Equation 1)
The total number correct is 37 so
x + y =37 Multiply this equation by 2 to get
2x + 2y = 74 (Equation 2)
Subtract equation 2 from equation 1 to get
3x = 15 ie x = 5
If there were 5 five point questions then there must have been 32 two point questions.