Answer:
2 ( m + 2 m) = 36 is the required linear equation
Length of the rectangle is 12 ft and width = 6 ft
Step-by-step explanation:
Let the width of the rectangle = m ft.
So, the length of the rectangle = 2m ft.
Perimeter of rectangle = 36 ft
Now, PERIMETER OF THE RECTANGLE = 2(LENGTH + WIDTH)
⇒2 ( m + 2m) = 36
or, 2 x 3m = 36
⇒ 6m = 36 , or m = 36/6
⇒ m =6 ft
So, the Width of the rectangle; = m = 6 ft
and the Length of the rectangle = 2 m = 2 x 6 = 12 ft.
The formula for calculating this is
(n - 2) x 180
So n = number of sides
(6 - 2) x 180
4 x 180 = 720
So the total is 720°
<span>The greatest common factor (GCF) of 24 and 48 is 24</span>
Answer:
He earned $114 in interest.
The final amount in the account is $874
Step-by-step explanation:
Initial balance (b): $760
Interest rate (i): 0.05
Period (n): 3 months
Simple interest applications yield the same amount in interest every period. Therefore, the total simple interest earned can be defined by:

The final amount (A) in the account is the initial balance plus the interest earned in 3 months.

He earned $114 in interest and the final amount in the account is $874
Answer:
(a) The odds of event E is 4/3.
(b) The odds of event E is 3/2.
Step-by-step explanation:
Formula for probability of an event:

Formula for odds of an event:

(a)
It is given that

The probability of unfavorable event

Odds of event E is



Therefore the odds of event E is 4/3.
(b)
It is given that

The probability of unfavorable event

Odds of event E is



Therefore the odds of event E is 3/2.