3/10 + 45/100
= 30/100 + 45/100
= 75/100
need more details to answer please post the question with more details
Answer: The mechanic who worked 5 hours charged $45 per hour while the mechanic who worked for 15 hours charged $105 per hour.
Step-by-step explanation:
Let x be the rate of mechanic who worked 5 hours
And y, the rate of mechanic who worked 15 hours
Represent the question in an equation
x + y = 150.............. equation 1
5x + 15y = 1800........equation 2
x + y = 150, x = 150 -y
Substitute the value of x into equation 2 to get y
= 5 (150 -y) + 15y = 1800
Then open the bracket
750 - 5y + 15y = 1800
750 + 10y = 1800
10y = 1800 - 750
10y= 1050 (divide both sides by 10)
y = 1050/10
y = 105
Substitute the value of y into equation 1 to get the value of x
x + 105 = 150
x = 150 - 105
x = 45
Therefore, the mechanic who worked 5 hours charged $45 per hour while the mechanic who worked for 15 hours charged $105 per hour.
I hope this is clear, mark as brainliest please
Answer:
The equation of the line best fit is y = x + 12
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
- m is the slope of the line
The rule of the slope is m = 
, where
- (x1, y1) and (x2, y2) are two points on the line
∵ The line passes through points (2, 14) and (10, 22)
∴ x1 = 2 and y1 = 14
∴ x2 = 10 and y2 = 22
→ Substitute them in the rule of the slope above to find it
∵ m = 
∴ m = 1
→ Substitute it in the form of the equation above
∴ y = (1)x + b
∴ y = x + b
→ To find b substitute x by 2 and y by 14 in the equation
∵ 14 = 2 + b
→ Subtract 2 from both sides
∴ 14 - 2 = 2 - 2 + b
∴ 12 = b
→ Substitute it in the equation
∴ y = x + 12
∴ The equation of the line best fit is y = x + 12
