Answer:
1) n=-12
2) y=-8
3) x= 1/30
Step-by-step explanation:
1) 7+n=-5
7+n-7=-5-7
n=-12
2) 18=-3y-6
-3y-6=18
-3y-6+6=18+6
-3y=24
-3y/-3 = 24/-3
y= -8
3) 3/5x=18
3/15 X 5x= 18 X 5x
3=90x
90x/90= 3/90
x= 1/30
Answer:
C = 39
Step-by-step explanation:
From the question given above, the following data were obtained:
A = 2x + 108
B = x + 33
C =?
Next, we shall obtain an expression for C. This can be obtained as follow:
A + B + C = 180 (sum of angles in a triangle)
2x + 108 + x + 33 + C = 180
2x + x + 108 + 33 + C = 180
3x + 141 + C = 180
Make C the subject by rearranging
C = 180 – 141 – 3x
C = 39 – 3x
Next, we shall determine the value of x. This can be obtained as follow:
A = 2x + 108
B = x + 33
C = 39 – 3x
A + B + C = 180
2x + 108 + x + 33 + 39 – 3x = 180
2x + x – 3x + 108 + 33 + 39 = 180
3x – 3x + 180 = 180
3x – 3x = 180 – 180
3x – 3x = 0
x(3 – 3) = 0
x(0) = 0
x = 0
Finally, we shall determine C. This can be obtained as follow:
C = 39 – 3x
x = 0
C = 39 – 3(0)
C = 39 – 0
C = 39
The graph that shows the solution to the given system of linear inequalities is shown below
<h3>Graph of Inequalities </h3>
From the question, we are to draw the graph that shows the solution to the given system of linear inequalities
The given system of linear inequalities is
y>2x+3
y<-2x-4
The graph that shows the solution to the given system of linear inequalities is shown below
Learn more on Graphing inequalities here: brainly.com/question/11234618
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Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Initial number of bales of hay = 1041 bales
After stacking more bales in the barn:
Total number of bales after stacking = 2,358 bales
Equation for scenario b
Initial bales + added bales = total number of bales after stacking
Let added bales = b
1,041 + b = 2,357
Added bales = Newly stacked bales:
1041 + b = 2,357
b = 2357 - 1041
b = 1,316
The stacked bales of hay stacked to join the initial is. 1,316 bales
<span>Stephen and Aaron solved the same equation using two separate methods. Their work is shown in the table below:
Stephen Aaron:
3x - 2 = 5x - 6 3x - 2 = 5x - 6
3x - 2 + 2 = 5x - 6 + 2 3x - 3x - 2 = 5x - 3x - 6
3x = 5x - 4 -2 = 2x - 6
3x - 5x = 5x - 5x - 4 -2 - 6 = 2x
-2x = -4 -8 = 2x
x = 2 -4 = x
Identify who made the error and what he did wrong.
Aaron made the error when he subtracted 6.
Aaron made the error when he subtracted 3x.
Stephen made the error when he added 2.
Stephen made the error when he subtracted 5x.
answer:
</span>In the Aaron`s work:
- 2 = - 2 x - 6
and after that:
- 2 - 6 = 2 x
It should be:
- 2 + 6 = 2 x
or: - 2 + 6 = 2 x - 6 + 6
Answer:
A ) Aaron made the error when he subtracted 6.
