A 25-foot board is cut into two pieces. Four times the length of the shorter piece is 5 ft more than the length of the longer piece. Find the length of the shorter piece.
A) 15 ft
B) 10 ft
C) 6 ft
D) 19 ft
E) 4 ft
C) 6 ft
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Solve the problem using inductive reasoning.How many rectangles are there in the last two figures? 
? 1 rectangle 
? 3 rectangles 
? 
rectangles 
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rectangles
What will be an ideal response?
Use inductive reasoning to predict the next line in the pattern. Then perform the arithmetic to determine whether your conjecture is correct.8 × 9 = 10 × 11 - (8 + 9 + 10 + 11)9 × 10 = 11 × 12 - (9 + 10 + 11 + 12)
A. 10 × 11 = 12 × 13 - (10 + 11 + 12 + 13) B. 10 × 11 = 12 × 13 - (8 + 9 + 10 + 11 + 12 + 13) C. 11 × 12 = 13 × 14 - (10 + 9 + 8 + 7) D. 11 × 12 = 13 × 14 - (11 + 12 + 13 + 14)
Solve the inequality. Graph the solution set and write the solution set in interval notation.
? 2
A. [-8, -4)
B. (-?, -4) ? [0, ?)
C. (-4, 8]
D. (-?, -8] ? (-4, ?)
Is the set of even natural numbers closed for the operation of multiplication?Answer yes or no.
What will be an ideal response?