Questions in mathematics

Questions in mathematics

[Done] How many yards are in \(\frac{1}{4}\) of a mile?

[Done] Determine whether line AB is parallel or perpendicular to CD in each case. (a) A(0, 0), B(0, 1), C(0, 0), D(1, 0). (b) A(0, 1), B(2, 3), C(4, 5), D(6, 7).

[Done] The volume of a rectangular prism is 270 cubic centimeters, and the height of the prism is 5 centimeters. What should the length and width of the prism be? Explain your solution strategy.

[Done] What is the percentage increase from 200 to 280?

[Done] How many times does 150 go into 1000?

[Done] A rectangular bedroom floor has an area of 100 square feet and a length of 10 feet. What is the perimeter of the floor?

[Done] What is \(54 \times 3 \times 71 - 45 + 102 \div 6 \times 25 - 34 \times 141 + 32 - 67\)? Also, put \(\frac{578402}{10856}\) in simplest form.

[Done] Write 540 as a product of prime numbers.

[Done] Ray wants the larger of two aquariums. One aquarium has a base of 20 in. by 20 in. and a height of 18 in. The other aquarium has a base of 40 in. by 12 in. and a height of 12 in. Which aquarium is larger? By how much?

[Done] Dirk Nowitzki of the Dallas Mavericks scored 44 points in a recent basketball game. He made no 3-point shots but made a number of 2-point field goals and 1-point free throws. He scored a total of 30 times. How many 2-point shots did he make? How many free throws did he make?