Answer:
y = 36
Step-by-step explanation:
Given y varies directly as z and inversely as x then the equation relating them is
y = 
← k is the constant of variation
To find k use the condition y = - 18, z = 3 when x = 6 , then
- 18 = 
( multiply both sides by 6 )
- 108 = 3k ( divide both sides by 3 )
- 36 = k
y = 
← equation of variation
When x = 5 and z = - 5, then
y = 
= 
= 36
Answer:
Step-by-step explanation:
- 3x-2y =7
- x+2y= -3
- 4x=4
- x=4/4
- x=1
- 3x-2y=7
- 3(1)-2y=7
- 3-2y=7
- -2y=7-3
- -2y=4
- 2y=-4
- y=-4/2
- y= -2
- Verify solution
- x+2y= -3
- 1+2y= -3
- 2y=-3-1
- 2y= -4
- y= -4/2
- y= -2
<span>The graph is attached.
Explanation:We can use the x- and y-intercepts to graph. The x-intercept of the first equation is 8, and the y-intercept is 8. The x-intercept of the second equation is -2, and the y-intercept is 2.
<span>
x-intercepts are where the data crosses the x-axis. At every one of these points, the y-coordinate will be 0; therefore we can substitute 0 for y and solve to get the value of the x-intercept.
For the first equation, we would have
8x+8(0)=64
8x=64.
Divide both sides by 8:
8x/8 = 64/8
x=8.
For the second equation,
2x-2(0)=-4
2x=-4.
Divide both sides by 2:
2x/2 = -4/2
x=-2.
y-intercepts are where the data crosses the y-axis. At every one of these points, the x-coordinate will be 0; therefore we can substitute 0 for x and solve to get the value of the y-intercept.
For the first equation,
8(0)+8y=64
8y=64.
Divide both sides by 8:
8y/8 = 64/8
y=8.
For the second equation,
2(0)-2y=-4
-2y=-4.
Divide both sides by -2:
-2y/-2 = -4/-2
y=2.
Plot these points for both equations and connect them to draw the line.</span></span>
The first thing we must do for this case is find the number of boys surveyed.
We have then:
(1-0.45) * (80) = 44
We are now looking for the number of boys employed.
We have then:
(1-0.25) * (44) = 33
Answer:
there are 33 boys employed.
You would use the Pythagorean theorem A squared plus B squared equals C squared so you would for example do 5 squared plus 6 squared equals 8 squared so then in your calculator you would put five squared +6 squared see what that equals then do another thing and put eight squared and if it equal each other than it can make a right angle
