first transform feet into inches 4.5 feet = 48.5 inches; 5.5 feet = 60.5 inches;
then get the area in inches : 48.5 x 60.5 = 2934.25 inches; the area of one patch is 18 x 24 = 432 inches
so now divide the area of the desktop by the area of one patch
2934.25 / 432 = 6.7 so she needs 7 patches
Answer:
30 one-dollar bills and 12 five-dollar bills.
Step-by-step explanation:
Let x represent number of one-dollar bills and y represent number of five-dollar bills.
We have been given that a tip jar contains x one-dollar bills and y five- dollar bills. There are 42 bills in the jar. We can represent this information in an equation as:


We are also told that the total value of all bills is $90.00. We can represent this information in an equation as:

Upon substituting equation (1) in equation (2), we will get:






Therefore, there are 12 five-dollar bills in the tip jar.
Upon substituting
in equation (1), we will get:

Therefore, there are 30 one-dollar bills in the tip jar.
Let's call the three numbers x, y, and z.
The numbers are 3, 12, and 5.
x + y + z = 20
y = 4x
x + z = 8
We can rewrite the first equation because y is 4x, so
x + 4x + z = 20
5x + z = 20
And now we can use simultaneous equation rules to solve
5x + z = 20
x + z = 8
5x + z = 20
5x + 5z = 40
(subtract)
-4z + -20
÷ -4
z = 5
x + z = 8
x + 5 = 8
x = 3
y = 4x
y = 4 × 3
y = 12
I hope this helps!