Answer:
(-3,2)
Step-by-step explanation:
1) -2x+y=8
you need to leave the Y alone on one side. Then, the term -2x goes to the other side with its opposite sign which is +.
y=8+2x
2) y=2x/(5-8)
3) 8+2x=2x/(5-8)
now, you need the x value. for that, you need to leave x alone on one side.
8+2x=2x/(-3)
8+2x=-(2/3)x
8=-(2/3)x-2x
8=-(8/3)x
8/-(8/3)=x
-3=x
4) you now have the x value. you need the y value. for that, replace the x in one of the given equations. let´s use the 1st equation.
-2x+y=8
y=8+2x
y=8+2*(-3)
y=2
result:
x= -3
y=2
Which tables since there’s no picture
Answer:
Kate's possible hourly rate of pay: $34.75
Hours of overtime: 100
Step-by-step explanation:
In order to find Kate's hourly wage, we can set up an equation based on the number of hours she works per week and the estimated number of overtime hours to equal her total pay for the year. If Kate works 36 hours/week and there are 52 weeks in a year, her total hours for one year are: 36 x 52 = 1872. Setting up an equation based on her total earnings of $72,000:
1872x + 100(2x) = 72000, where 'x' is the hourly rate and '2x' is her overtime rate which is double time.
Combine like terms: 1872x + 200x = 72000 or 2072x = 72000
Divide both sides by 2072: 2072x/2072 = 72000/2072
Solve for x: x = $34.75
Kate's hourly rate is estimated at $34.75. We can check to see if this is correct by putting this value back into our original equation:
1872(34.75) + 100(2)(34.75) = 65052 + 6950 = 72002
The answer of $72,002 is very close to $72,000 and the best estimate of Kate's hourly wage and overtime hours.
51°
Angles that are opposite to another angle are equal
Answer:
53.13 degrees
Step-by-step explanation:
