Answer:
Length 37 cm, width 25 cm.
Step-by-step explanation:
Let the original dimensions be length x and width x - 12 cms.
The new dimensions will be length (x - 2) and width (x - 12 - 2) = x-14 cm.
So , from the areas, we have:
x(x - 12) - (x - 2)(x - 14) = 120
x^2 - 12x - (x^2 - 16x + 28) = 120
-12x + 16x - 28 = 120
4x = 148
x = 37 cms
So the length was 37 cm and the width was 37-12 = 25 cm.
X = total amount of people
80% of x = 540
.8x = 540
x = 675
There were 675 people
In slope intercept form this would be equal to y=-7x-8. (remember the 7 is negative!)
Answer:
50
Step-by-step explanation:
Use this equation

where b is arc VY, A is arc XV.
Substitute the equation in




so our arc measure is 50
The ratio between the departments is
A: B: C
15000 : 18000 : 9000
15 : 18 : 9
5 : 6 : 3
The budget needs to be divided into 5+6+3 = 14 parts
The budget for one part is 22000/14
The budget for department B is

Rounded to the nearest dollar, the budget is $9429