The area is the product of length and width, which is to say that the length and width are factors of the area.
Assuming the dimensions are integers, you want factors of 84 that differ by 5.
... 84 = 1×84 = 2×42 = 3×28 = 4×21 = 6×14 = 7×12
The last of these pairs differ by 5, so ...
- the length is 12 inches
- the width is 7 inches.
I believe the answer to this question is the 3rd one
Answer:
<u>The number of associates = 6 and the number of partners = 4</u>
Step-by-step explanation:
let the number of associates = x
let the number of partners = y
The law firm assigned a total of 10 lawyers
∴ x + y = 10
∴ y = 10 - x ⇒ (1)
$8000 per day charged for these lawyers, The daily rate charged to the client for each associate is $600 and the daily rate for each partner is $1100.
∴ 600x + 1100 y = 8000 ⇒ (2)
By substitute from (1) at (2)
600 x + 1100 (10 - x) = 8000
solve for x
600 x + 11000 - 1100 x = 8000
-500 x = -3000
x = -3000/-500 = 6
At (1) to find y
y = 10 - 6 = 4
<u>So, the number of associates = 6 and the number of partners = 4</u>
Answer:
the total she earns with "d" hours of dog walking and "b" hours of babysitting is given by: 8 d + 12 b
Step-by-step explanation:
If we use "d" to represent the number of hours that Susan walks the dog, and we define "b" as the number of hours she babysits, then the expression that represents the amount she earns by walking the dog is: $8 times d = 8 d
Similarly, the amount she earns by babysitting is $12 times b = 12 b
Then the total she earns with "d" hours of dog walking and "b" hours of babysitting is: 8 d + 12 b
