Karen Sullivan delivers newspapers for the Tribune Dispatch. She receives 18.2 cents per paper, 6 days a week (for the daily paper),
and 70 cents for the Sunday paper. She delivers 124 daily papers each
day and 151 Sunday papers each week. What is her total pay?

The correct answer is $241.1 each week and $964.4 each month

Explanation:

To calculate the amount Karen should receive, it is required to calculate the money she earned from Monday to Saturday and then the money she earned on Sunday as the amount paid per paper is different on Sunday.

Monday to Sunday:

Karen delivers 124 papers each day from Monday to Sunday. This means she delivers a total of 744 papers (124 papers each day x 6 days = 744 papers). Now, let's find the money she earned from Monday to Sunday:

744 papers x 18.2 cents = 13540 cents or 135.4 dollars (each dollar is equivalent to 100 cents, which means if you divide the cents into 100 you get the equivalent in dollars)

This means the total Karen earned from Monday to Saturday is $135.4

Sunday:

Karen delivers 151 Sunday papers and with each of these she earns 70 cents

151 papers x 70 cents = 10570 cents or 105.7 dollars

Total per week:

$135.4 + $105.7 = $241.1 each week, which is equivalent to $964.4 a month ($241.1 x 4 weeks = $964.4 )

a. The area of the wall is 60 ft.²

b. The minimum length of wallpaper to be purchased is 30 ft

Step-by-step explanation:

a. The given diagram is a pentagon, with the two vertical sides equal in length and the  two slant sides equal in length and one horizontal

The length of the vertical sides = 6 feet each

The length of the horizontal side = 8 feet

The height of the pentagon = 9 feet

The pentagon can be split into a rectangle with a triangular cap by an horizontal line drawn at point of intersection of the vertical sides and the horizontal sides

The area of the formed rectangle = Base  × Height of rectangle

∴ The area of the formed rectangle = 6 × 8 = 48 ft.²

The area of the triangular part of the figure = 1/2 × base × Height of triangle

a = 9 - 6 = 3 feet

∴ The area of the triangular part of the figure = 1/2 × 8 × 3 = 12 ft.²

The area of the wall = The area of the formed rectangle + The area of the triangular part of the figure

∴ The area of the wall = 48 ft.² + 12 ft.² = 60 ft.²

The area of the wall = 60 ft.²

b. The width of the sold wallpaper = 2 feet wide

The area of wallpaper = Length of wallpaper × The width of the sold wallpaper

The area of wallpaper required = The area of the wall = 60 ft.²

∴ 60 ft.² = Length of wallpaper × 2 ft.

Length of wallpaper = 60 ft.²/2 ft. = 30 ft.

The minimum length of wallpaper to be purchased = 30 ft.