The formula for the perimeter of a rectangle is P= 2L + 2W where L is the length and W is the width of the rectangle. What is the length of a rectangle whose perimeter is 48 inches and width is 6 inches?
+9466 P = 2L + 2W
The perimeter of the rectangle is 48 inches. So P = 48
The width of the rectangle is 6 inches. So W = 6
Plug in 48 for the P in the equation.
48 = 2L + 2W
Plug in 6 for W in the equation.
48 = 2L + 2(6) Now we can solve this equation for L . Multiply 2(6) to get 12 .
48 = 2L + 12 Subtract 12 from both sides of the equation.
48 - 12 = 2L
36 = 2L Divide both sides of the equation by 2 .
36 / 2 = L
18 = L
The length of the rectangle is 18 inches.
A truck driver can drive no more than 8 hours in one day. He has already driven 3.5 hours. He drives at an average rate of 55 miles per hour. Which inequality could be used to find the distance, d, the truck driver can travel in the remaining time?
+9466 A truck driver can drive no more than 8 hours in one day. He has already driven 3.5 hours. He drives at an average rate of 55 miles per hour. Which inequality could be used to find the distance, d, the truck driver can travel in the remaining time?
55 miles per hour * 8 hours = 440 miles
He can travel no more than 440 miles.
He has already traveled...
55 miles per hour * 3.5 hours = 192.5 miles
So...
d miles + 192.5 miles < 440 miles
d + 192.5 < 440
d < 247.5
