Answer: $19968
Step-by-step explanation: Assuming the electric technician works 52 weeks a year with an average of of $40 of paid work, the electrician would make about $19,968 or close to $20,000 a year.
The solution of the given system of equations is (3//2, -3/8)
We can solve a system of equations using:
- graphical method
- elimination method
- substitution method
The given system of equations:
(1/2)x + (2/3)y= 1 ......... (1)
(3/4)x - (1/3)y = 2 ..........(2)
Multiply equation (1) by 6
3x + 4y = 6 ..... (3)
Multiply equation (2) by 12
9x - 4y = 24 ...... (4)
Add equation (3) and (4)
3x + 4y = 6
<u>9x - 4y = 24 </u>+
12x = 30
x = 30/12 = 5/2
Substitute x = 5/2 into equation (3)
3x + 4y = 6
3. (5/2) + 4y = 6
15/2 +4y = 6
4y = (12 - 15)/2 = -3/2
y = -3/8
The solution is (3/2, -3/8)
Learn more about how to solve system of equations here:
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If M is the midpoint of PQ, then PM and MQ are equal.
As PM and MQ are given, equal them to each other to solve for x.
7x+8 = 5x+20
subtract 5x on both sides to get 2x+8 = 20
subtract 8 on both sides to get 2x = 12
divide by 2 on both sides to get x = 6
Use the value of x = 6 and plug it into the equations for PM and MQ to find their value.
PM = 7x + 8
= 7(6) + 8 = 42 + 8 = 50
(You can already tell MQ is also 50 as PM and MQ are equal, but we will still solve for MQ just for the fun of it)
MQ = 5x + 20
= 5(6) + 20 = 30 + 20 = 50
PM = 50
MQ = 50
PQ = PM + MQ = 50 + 50 = 100
Hope this helped!
Answer:
a x=12/4 =3
b x = 5 cm
omkrets = 5*4=20
Step-by-step explanation:
Answer:
D) Consistent and Independent