Answer:
Mechanic 1: $55 per hour
Mechanic 2: $105 per hour
Step-by-step explanation:
Given
Represent the rate of the first mechanic with x and the second with y.
So, we have:
The total earnings is: $1850, so we have:
Required
Determine the rate of each
The equations are:
--- (1)
--- (2)
Divide (2) through by 5
--- (3)
Subtract (1) from (3)
Divide through by 2
Substitute 105 for y in (1)
Make x the subject
Substitute 105 for y
Hence:
Mechanic 1: $55 per hour
Mechanic 2: $105 per hour
Answer:
Step-by-step explanation:
Common denominator: 18
-14/18 + 11/18
= -3/18
Reduce:
-1/6
Every straight line graph has an equation in the same form:
y = (slope of the line) x + (y-intercept) .
-- The slope of the line is
(how far it goes UP, going left to right between any 2 points)
divided by
(how far it goes left to right between the same 2 points) .
The line on this graph has a slope of + 1/2 .
-- The y-intercept is the point where the line crosses the y-axis.
The line on this graph crosses the y-axis at -1 .
y = (slope of the line) x + (y-intercept) .
y = ( 0.5 ) x ( - 1 ) .
A and D are correct. To understand this, you need to know that this scenario gives us a total (2 1/2 cups) and a part (1/4). When you have these 2 pieces of information you have either a division problem with a total divided into parts (choice D) or you have one part and a totol shown as a multiplication problem (choice A).
