Answer:
x = 6
Step-by-step explanation:
These two angles make a complementary angle meaning the sum of the angles will be 90°. We can use this information to make an equation to solve for x.
10x + 30 = 90 (Given)
10x = 60 (Subtract 30 on both sides)
x = 6 (Divide 10 on both sides)
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.
<span>Step 1: 0.4 = 4⁄10</span>
<span>Step 2: Simplify 4⁄10 = 2⁄5</span>
Answer: x=4 ; y=<u> -4</u>
3
Step-by-step explanation:
2x + y = -4
.(-3)
2x + 3y = 4
-6x-3y=12
<u>2x + 3y = 4</u>
4x=16
x= <u>16</u>
4
x=4
2x + 3y = 4
2.4+3y=4
8+3y=4
3y= -8+4
y=<u> -4</u>
3
