Answer:
Option A. 95x + 133y square feet.
Step-by-step explanation:
Area of a rectangular room = Length × Width
Length of the room = Length of carpeted portion + Length of the tiled portion
= (5x + 7y) feet
Width of the living room = 19 feet
Area of the living room = (5x + 7y) × 19
= 95x + 133y Square feet [By distributive property]
Therefore, expression for the total area of the living room is option (A).
Answer:
Step-by-step explanation:
Angle 2= 50
angle 1= 180-50= 130 degrees (linear pair (sum 180))
angle 3= 130 degrees (vertically oposite angles are equal)
angle 6= 130 degrees (alternate interior angles)
angle 5= 180-130= 50 degrees (linear pair)
i hope this helps :)
Answer:
25%
Step-by-step explanation:
First we calculate the probability of rolling a number greater than 3, that is, it can be 4, 5 or 6.
The probability of each number is 1/6, so:
P1 = (1/6) + (1/6) + (1/6) = 3/6 = 1/2
Then, we calculate the probability of rolling a prime number, that is, 2, 3 or 5.
As we have again 3 numbers, the probability P2 will also be 1/2
Then, the final probability is the product of both P1 and P2:
P = P1 * P2 = (1/2) * (1/2) = 1/4 = 25%
Answer:
length= 24 inches
width= 7 inches
Step-by-step explanation:
Start by writing down what you know.
width= w
length= 3w+3
Then, we can substitute into the perimeter of a rectangle equation, P=2l+2w.
62= 2(3w+3) + 2(w)
62=6w+6+2w
62=8w+6
56=8w
7=w
Now, plug this into our original equations for length and width:
width=7
length= 3(7)+3, so 24
