Questions in mathematics

Questions in mathematics

[Done] Joe wanted to know more about how the cost of fertilizer for his lawn-care business was changing. The cost of a bag of fertilizer just increased from $8 to $15. What is the percentage increase in the price? Represent the change as a fraction, percent, and decimal.

[Done] What are the side lengths of a rectangle if the area is 40 in² and the perimeter is 48 in?

[Done] There are 5 performers who will present their comedy acts this weekend at a comedy club. One of the performers insists on being the first stand-up comedy act of the evening. If this performer's request is granted, how many different ways are there to schedule the appearances?

[Done] Kareem has 4 sweaters, 6 shirts, and 3 pairs of slacks. How many distinct outfits, each consisting of a sweater, a shirt, and a pair of slacks, can Kareem select?

[Done] If \(\frac{x-1}{x} = 20\), then \(x =\)

[Done] If 3 shirts and 4 caps cost $96, and 2 shirts and 5 caps cost $99, how much does each cap and each shirt cost?

[Done] What is [tex]49[/tex] to the power of [tex]\frac{1}{2}[/tex]?

[Done] Three angles are labeled below with arcs. The smallest angle is [tex]\frac{3}{8}[/tex] as large as the [tex]160^\circ[/tex] angle. Find the value of angle [tex]a[/tex].

[Done] Draw 8 lines that are between 1 inch and 4 inches long. Measure each line to the nearest quarter inch, and make a line plot.

[Done] Could the points (-4, 3), (-1, 1), and (1, 3) form the vertices of a right triangle? Why or why not?