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Questions in mathematics

[Jawaban] Cynthia made the conjecture that the sum of any prime number and any composite number is a composite number. Which equation is a counterexample to her conjecture? A. 11 + 2 = 13 B. 5 + 8 = 13 C. 13 + 2 = 15 D. 11 + 9 = 20

[Jawaban] A flagpole casts a shadow 32 feet long. If a man 6 feet tall casts a shadow 8 feet long at the same time and location, how tall is the flagpole?

[Jawaban] Is George correct in saying that if 2 and 4 are factors of a number, then 8 is also a factor of the number?

[Jawaban] The price of a community pool membership has a one-time sign-up fee and a monthly fee. The price can be modeled by the function [tex]y = 20x + 50[/tex], where [tex]x[/tex] is the number of months. Question: What is the slope, and what does it represent?

[Jawaban] Which is greater, six feet or two meters?

[Jawaban] If the probability of rain is 0.03, what is the probability of no rain?

[Jawaban] The amount of snow on the ground increased by 8 inches between 7 P.M. and 10 P.M. By 10 P.M., there was less than 2 feet of snow. How much snow was there by 7 P.M.?

[Jawaban] Find all the powers of 3 that are in the range from 3 to 1,000.

[Jawaban] The area of a rectangle is 100 square inches, and the perimeter is 40 inches. A second rectangle has the same area but a different perimeter. Is the second rectangle a square? Explain why or why not.

[Jawaban] A standard brick is \(3 \frac{5}{8}\) inches wide and \(7 \frac{5}{8}\) inches long. Colton wants to edge his 16-foot long sidewalk with bricks on both sides. 1. How many bricks does he need if he sets the bricks lengthwise along both sides? 2. How many bricks does he need if he sets the bricks edgewise along both sides?