Questions in mathematics

Questions in mathematics

[Done] What is the greatest two-digit prime number whose digits are prime and sum to a prime number?

[Done] Divide £300 in a ratio of 3:7.

[Done] A graph includes the ordered pair (2, 4). Write two different rules that would be possible for this graph. Explain how you found your answer.

[Done] Bradford has an aquarium with a base that is 22 inches x 12 inches and a height that is 15 inches. 1. What is the volume of the aquarium? 2. Would the volume of the aquarium change if it did not have a lid? Explain.

[Done] In sunlight, a vertical stick 6 ft tall casts a shadow 2 ft long. At the same time, a nearby tree casts a shadow 14 ft long. How tall is the tree? Round to the nearest tenth. A) 42.0 ft B) 85.7 ft C) 18.0 ft D) 52.5 ft

[Done] #1 What is the volume of a pyramid with base area B = 6 ft2 and height h = 13 ft? A. 26 ft3 B. 39 ft3 C. 52 ft3 D. 78 ft3 #2 The base of a square pyramid has a side length of 6 inches. The height of the pyramid is 12 inches. What is the volume of the pyramid? A. 144 in3 B. 36 in3 C. 72 in3 D. 108 in3

[Done] Find the volume of the cone shown, rounded to the nearest tenth. Height is 16 yards, and radius is 8 yards.

[Done] Please fully factorize these equations: 1. \(36x^3 - 6x\) 2. \(12x^3 + 15x^2\) 3. \(8x - 10x^2\)

[Done] Los Angeles Airport is located 140 degrees from San Francisco Airport and is 540 km away. A pilot is planning a direct flight from San Francisco Airport to Los Angeles Airport, departing at 2 P.M. The plane's airspeed will be 640 km/h, and there will be a 60 km/h wind blowing from 290 degrees. What should the compass heading be, and what is the plane's estimated time of arrival (ETA) to the nearest minute?

[Done] Is the equation \(4a + b - 3 = 2b\) a linear equation?