Questions in mathematics

Questions in mathematics

[Done] What is the average (arithmetic mean) of all the multiples of ten from 10 to 190, inclusive?

[Done] A forest inhabited only by borogoves and mome raths contains 82 creatures. Borogoves are two-legged animals, while mome raths have four legs. If the forest contains a total of 234 legs, how many borogoves and how many mome raths live in the forest?

[Done] 12 liters of water are poured into an aquarium with dimensions 50 cm in length, 30 cm in breadth, and 40 cm in height. How high (in cm) will the water rise? (Note: 1 liter = 1000 cm\(^3\))

[Done] Using the numbers 2, 3, 5, and 8, create an equation that equals 104.

[Done] In a certain game of 50 questions, the final score is calculated by subtracting twice the number of wrong answers from the total number of correct answers. If a player attempted all questions and received a final score of 35, how many wrong answers did he give?

[Done] Solve by Substitution: \[ y = -\frac{3}{2}x - 4 \] \[ y = -\frac{1}{2}x + 1 \]

[Done] Write an algebraic expression for the sum of 18 and a number.

[Done] Simplify the expression [tex]\frac{10 \text{ km}}{900 \text{ m}}[/tex] into one unit.

[Done] In the sequence 145, 300, 610, 1230, each term after the first is formed by multiplying by \( x \) and then adding \( y \), where \( x \) and \( y \) are positive integers. What is the value of \( x + y \)?

[Done] Write an equation of the line with the same slope as the line given by [tex]5x + 2y = 8[/tex] and the same y-intercept as [tex]3x - 7y = 10[/tex].