Answer:
For The value of a = 0 and c = 0 , The given expression equality is true
Step-by-step explanation:
Given expression as :
= a - 2
Or, 3 a² + ac + 2 c - 6 a = ( a - 2 ) × ( 3 a - c )
Or, 3 a² + ac + 2 c - 6 a = 3 a² - ac - 6 a + 2 c
Or, ( 3 a² + ac + 2 c - 6 a ) - ( 3 a² - ac - 6 a + 2 c ) =0
Or, ( 3 a² - 3 a² ) + ( ac + ac ) + ( 2 c - 2 c ) + ( - 6 a + 6 a ) = 0
or, 0 + 2 ac + 0
Or, 2 ac = 0
∴ a =0 and c = 0
Hence For The value of a = 0 and c = 0 , The given expression equality is true . Answer
Let x be the number of boys, the number of girls will be 200-x
Number of boys with blue eyes x/3
Number of girls with blue eyes (200-x)/4
ll blue eyes ==> x/3 + (200-x)/4 = 57
Reduce to same denominator & solve for x
(4x + 600 - 3x)/12 = 681/12
x=81, the total number of boys & girls200-81 119
Twelve and one hundred sixty-five thousandths
Answer:
c(h) = 40*h + 50
Step-by-step explanation:
Let h be the variable that represents the number of hours
As the cable operator charges $40.00 for an hour so for h hours, the expression will be 40*h
And
Lastly, he has to charge $50.00 must as service charge,
As the number of hours is variable here so the function will be in terms of hours.
So the resulting function will be:
c(h) = 40*h + 50
Given :
High Construction Company distributed 8% of its total profit, an amount equal to $5500 in bonus this year.
To Find :
The total profit .
Solution :
Let , total profit be x .
It is given that 8 % of the total profit is equal to $5500 .
So ,

Therefore , total profit is $68750 .
Hence , this is the required solution .