Questions in mathematics

Questions in mathematics

[Done] A line includes the points (1, 6) and (10, 4). What is its equation in point-slope form? Use one of the specified points in your equation. Write your answer using integers, proper fractions, and improper fractions in simplest form.

[Done] Greg bought a 20-oz bottle of soda. About how many milliliters of soda are in the bottle?

[Done] A 20 lb bag of nut mix contains 40% peanuts and 60% cashews. To adjust the mix to have 20% peanuts, how much of the mix should be replaced with pure cashews?

[Done] If all sides of a cube are multiplied by 6, by what factor does the volume increase?

[Done] Factor the expression: \[ x^2 - 22x + 40 \]

[Done] How do you solve \(\frac{6}{b-1} = \frac{9}{7}\)?

[Done] If [tex]\tan x = \frac{3}{4}[/tex] and [tex]0^\circ \leq x \leq 90^\circ[/tex], then what is [tex]\cos x[/tex]? Please explain the work behind the solution.

[Done] A glass jar is shaped like a cylinder. The jar has a height of 8 inches and a base with a diameter of 4 inches. There are 3 inches of grape jelly left in the jar. What is the volume of the jelly in the jar?

[Done] If \(0^\circ < x^\circ < 90^\circ\) and \(\sin x = \frac{1}{2}\), then \(\cos x = ?\)

[Done] The volume of a cylinder is 88 cubic inches. A smaller container, similar in shape, has a scale factor of \( \frac{1}{2} \). What is the volume of the smaller container?