Answer:
Width = 16 cm
Length = 12 cm
Step-by-step explanation:
Let the width of the rectangle be represented as x
Width = x cm
Length = (x - 4) cm
Area = L*W = 192 cm²
Thus:
x * (x - 4) = 192
x² - 4x = 192
x² - 4x - 192 = 0
Factorize
x² - 16x + 12x - 192
x(x - 16) +12(x - 16)
(x - 16)(x + 12)
x = 16 or x = -12
Width cannot be a negative number, therefore, the width of the rectangle = x = 16 cm
Width = x = 16 cm
Length = (x - 4) cm = (16 - 4) = 12 cm
It's correct...................
Answer:
25t = 65
Step-by-step explanation:
Given that :
Profit earned = $60
Charge per hour = $25
Randy's cost or expenses = $(2 + 3) = $5 per job
Profit = (charge per hour * t) - cost
Where t = time
$60 = ($25 * t) - $5
$60 = $25t - $5
$25t = $65
To solve this problem we first call x = number of action figures, y = number of dolles. A system of two equations with two unknowns must be made to describe the problem. The system is the following:
(x + 1) + y = 13
1/2 * x = y.
Then solving the system we have that x = 8 and y = 4.
Since we know that the number of action figures is twice as many dolls plus one, then x = 8 + 1 = 9.
Thus,
dollos = 4
action figures = 9
JK= 8, because x+3= 2x-5= 19
