Let s and g represents the numbers of suits and gowns produced.
The number of zippers used is 2s+g.
The number of buttons used is 5s+8g.
In order to use all of the available zippers and buttons, we must have ...
- 2s + g = 171
- 5s + 8g = 576
Cramer's rule tells you the solution to the system
Is given by
- x = (bf-ey)/(bd-ea)
- y = (cd-fa)/(bd-ea)
Using this rule on the equations for zippers and buttons, we have
... s = (1·576 -8·171)/(1·5 -8·2) = -792/-11 = 72
... g = (171·5 -2·576)/-11 = -297/-11 = 27
72 suits and 27 gowns can be made from available zippers and buttons.
We can use rise over run to determine the slope is 5/8. Using this slope and the point (5,2) we can write the equation: y-2 = 5/8 (x-5)
Decimal form of 5/8 is .625 , so it could be written y-2 = .625*(x-5)
The sum means addition
v + 3
(−2)³ = (-2)(-2)(-2)
Note that:
two negative numbers multiplied together results in a positive
one negative and one positive number multiplied results in a negative
Multiply:
(-2)(-2) = 4
4(-2) = -8
-8 is your answer
hope this helps
<span>width = x
</span><span>length = 6x + 8
x + 6x + 8 = 156/2
7x + 8 = 78
7x = 78 - 8
7x = 70
x = 70/7
x = 10 m </span>← width