For this case we have the following variables:
x: number of hours that it takes Mr. David to complete a job working alone.
y: number of hours it takes Mr. Ludwing to complete a job working alone.
k: number of hours it takes for both of them to do a job working together.
We now write the equation that models the problem.
To do this, we must add the work rate per hour of each and equal to the rate of work per hour of both.
We have then:
Answer:
The algebraic expression that models the problem is:
Answer:
Perpendicular
Step-by-step explanation:
First note:
- Parallel lines have equal slope
- Perpendicular lines have slopes that are negative reciprocal to each other
Lets check, first we need to convert them to slope intercept form (y = mx + b), where m would be the slope.
L1:
4x + 5y = 15
5y = -4x + 15
y = -4/5x + 3
L2:
4y = 5x - 12
y = 5/4x - 3
Slope of L1 is -4/5 and Slope of L2 is 5/4
<em>Are they negative reciprocals of each other? Yes, because multiplying the slopes would give us "-1"</em>
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So the lines are Perpendicular
50
Make a proportion 44/100 22/?
Check the photo for an explanation
Answer:
Total no. of houses = 140
Step-by-step explanation:
Let there are 9x flats and 5x bungalows.
Total bungalows = 50
It means,
5x = 50
x = 10
No of flats = 9x
= 9(10)
= 90
Total houses = no. of flats + no. of bungalows
= 50+90
= 140
So, there are 140 houses in the village.
66 x 3 = 198
198 + 2 = 200
200 / 3
As an improper fraction, anyway. 66 2/3 is already *technically* a fraction.