Questions in mathematics

Questions in mathematics

[Done] If [tex]\frac{x}{y}[/tex] is an integer, which of the following statements must be true? A. Both x and y are integers B. x is an integer C. Either x or y is negative D. [tex]\frac{y}{x}[/tex] is an integer E. [tex]x = ny[/tex] where n is an integer

[Done] What is the probability of choosing a point inside a cylinder but not inside the cone that has the same base and height as the cylinder?

[Done] Mark the number line to show \(\frac{1}{4}\). Label 0 and 1 on the number line.

[Done] Adina has a rectangular garden that measures 9 m wide by 13 m long. She wants to increase the area to 192 m\(^2\) by increasing the width and length by the same amount. What will be the dimensions of the new garden?

[Done] There are 27 red or blue marbles in the bag. The number of red marbles is 5 less than 3 times the number of blue marbles. How many red marbles are in the bag? How many blue marbles are in the bag?

[Done] Calculate the discriminant. \[ x^2 - 2x + 4 = 0 \] A. 20 B. 12 C. –12 D. 0

[Done] Recall that the length a spring stretches varies directly with the amount of weight attached to it. A certain spring stretches 5 cm when a 10-gram weight is attached. Write a direct variation equation relating the weight \( x \) and the amount of stretch \( y \).

[Done] ABCD is a square, and a semicircle O has a radius of 6. What is the area of this figure?

[Done] Scott has \(\frac{1}{3}\) of the computer games as Anish, and Anish has \(\frac{1}{2}\) as many games as Nick. Together they have 140 games. How many games do they each have? Scott has Anish has Nick has __

[Done] What is the following rounded to 1 decimal place? 1. 3.44 2. 12.09 3. 18.39 4. 44.347 5. 82.383 6. 49.2532