Answer:
The length is 15 yards
Step-by-step explanation:
Given
Represent the width with W and length with L: So


Required
Determine the length of the rectangle:
Area is calculated as thus:

Substitute 3W - 12 for L and 135 for Area


Reorder:

Divide through by 3

Expand:



or 
or 
But width can't be negative
So:

Recall that: 


<em>Hence, the length 15 yards</em>
The slope is equal to ³/₅.
Answer:
6 titles and 16 acts were elaborated
Step-by-step explanation:
Let the number of titles be t and the number of acts be a
Since the total is 22 operations:
a + t = 22 •••••••(i)
Total amount from titles = 3500 * t = 3500t
Total amount from acts = 2000 * a = 2000a
2000a + 3500t = 53,000 ••••••(ii)
From i, a = 22-t
Insert this in ii
2000(22-t) + 3500t = 53,000
44,000 - 2000t + 3500t = 53,000
1,500t = 53000-44000
1500t = 9000
t = 9000/1500
t = 6
But a = 22 -
= 22-6 = 16
I would check my math but 4/3 = 1.3 x 18= 24 divided by 2 for radius would be 12x12=144 x pie or 3.14 would be 452.16
Answer:
p=32-c (*Units in million $)
Step-by-step explanation:
Let r be the revenue realized in any given year.
-Given that c=cost and p= revenue
#We notice that the profit, cost or revenue realized in one year is independent of the prior or subsequent year.
-Therefore, the revenue function is independent of time and is expressed as:

Hence, the yearly profit for any given year is expressed as p=32-c (*Units in million $).