Identify the rules of algebra illustrated from left to right by the following statement.
(z? - 7) + 7 = z + (-7 + 7) = z + 0 = z
A. commutative property of addition; additive inverse property; additive identity property
B. associative property of addition; additive inverse property; additive identity property
C. commutative property of addition; additive identity property; additive inverse property
D. associative property of addition; additive identity property; additive inverse property
E. distributive property; additive identity property; additive inverse property
Answer: B
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An 30-pound boy wants to teeter on a 24-foot seesaw with his older sister who weighs 90 pounds. The fulcrum of the seesaw is in the center. If the boy sits at one end, how far will the boy’s sister have to sit from the fulcrum to balance the seesaw?
A. 12 B. 60 C. 4 D. 3
Due to the curvature of the earth, the maximum distance D that you can see from the top of a tall building of height h is estimated by the formula where r = 3960 mi is the radius of the earth and D and h are also measured in miles. How far can you see from the observation deck of a tower, 1000 ft above the ground? Round the answer to one decimal place.
(a) 37.9 mi (b) 428.1 mi (c) 1428.4 mi (d) 73.9 mi (e) none of these
Factor.25x2 + 20x + 4
A. (5x - 2)2 B. (5x + 2)(5x - 2) C. (5x + 2)2 D. Not factorable
Use the distance formula.How long would it take to drive 560 kilometers if your average rate of speed was 80 kilometers per hour?
A. 8 hr B. 64 hr C. 448 hr D. 7 hr