Answer:
VY = 28 units
Step-by-step explanation:
the perimeter (P) of a rectangle is calculated as
P = 2 ( length + breadth )
given P = 130 , then
2(5y + 2 + 4y) = 130 ( divide both sides by 2 )
9y + 2 = 65 ( subtract 2 from both sides )
9y = 63 ( divide both sides by 9 )
y = 7
Then
VY = 4y = 4 × 7 = 28
Answer: As given, relationship between the number of hours a plumber works and the total work fee she charges is proportional.
The meaning of proportional is Ratio of number of hours a plumber works and the total work fee she charges is constant.
Using Unitary method
5 hours of work = $350
1 hours of work = $70
Let number of hours worked = x hours
Amount earned for x hours of work is represented by = $ y
For , x hours of work amount earned = 70 x (x=1,2,3...)
→y= 70 x
→→
Step-by-step explanation:
9514 1404 393
Answer:
A∩B = {2, 23}
Step-by-step explanation:
The intersection of two sets is the list of elements common to both.
2 is found in both
12, 19 are only in set A
23 is found in both
29 is only in set A
34, 40, 45 are only in set B
The intersection of the two sets is {2, 23}.
Answer:
y = -3x + 7
Step-by-step explanation:
Choosing two points from the given table:
Let (x1, y1) = (-3, 16)
(x2, y2) = (-1, 10)
Plug these given values into the slope formula:
m = (y2 - y1)/(x2 - x1)
= (10 - 16) / (-1 - (-3))
= -6 / (-1 + 3)
= -6/2
= -3
Therefore, the slope is -3.
Next, choose one of the points and plug into the <u>point-slope form</u>:
Let's use (-1, 10) as (x1, y1):
y - y1 = m(x - x1)
y - 10 = -3(x - (-1))
y - 10 = -3(x + 1)
y - 10 = -3x - 3
Add 10 on both sides to isolate y:
y - 10 + 10 = -3x - 3 + 10
y = -3x + 7