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:
$36.00
Step-by-step explanation:
The formula for simple interest is I = P x r x t where P is the principal amount, $600.00, r is the interest rate, 2% per year, or in decimal form, 2/100=0.02, and t is the time involved, 3....year(s) time periods. So t is 3....year time periods. To find the simple interest, we multiply 600 × 0.02 × 3 to get that the interest is $36.00 . Usually now, the interest is added onto the principal to figure some new amount after 3 year(s), or 600.00 + 36.00 = 636.00.
Given the function below:

To find f(-2), we substitute x = -2 in the equation. Since f(-2) means the value of f(x) at x = -2.

Replace x-term to -2 and evaluate.

Answer
Let me know if you have any doubts!
The is Answer:
82
Explanation:
We observe that difference between first and second terms <span>=12−5=7</span>
Similarly difference between second and third terms <span>=19−12=7</span>
It shows that the given sequence of numbers is an arithmetic progression with common difference equal to 7.
We know that <span>nth</span> term of an AP whose first term is <span>a1</span> and whose common difference is d is given by
<span><span>an</span>=<span>a1</span>+<span>(n–1)</span>d</span>
To find the <span>12th</span> term, insert given values in the general expression
<span><span>a12</span>=5+<span>(12–1)</span>7</span>
<span><span>a12</span>=5+<span>(11)</span>7=5+77=<span>82</span></span>