Answer:
A) y=23-5x
b) y= -14+2x
Step-by-step explanation:
a) 5x+y=23
-5x -5x
___________
y=23-5x
b)
2x-y=14
-2x -2x
_________
-y=14-2x
__ ___
-1 -1
y=-14+2x
The cost of the average nursing home stay is $207466
<h3>How to compute the value?</h3>
It should be noted that the average cost is around $196 a day with an average length of stay of 2.9 years and we want to calculate the cost of the average nursing home stay.
This will be:
= $196 × 365 × 2.9
= $207466
Therefore, the cost is $207466.
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Answer:
I think they're both trick questions because there are no like terms
Step-by-step explanation:
Answer:
120mph.
Step-by-step explanation:
let s = the speed of the private plane
then
(2s+60) = the speed of the commercial airliner
:
Write a time equation; time = dist/speed
300%2Fs = 750%2F%28%282s%2B60%29%29
cross multiply
750s = 300(2s+60)
750s = 600s + 18000
750s - 600s = 18000
150s = 18000
s = 18000/150
s = 120 mph is the speed of the private plane
then
2(120) + 60 = 300 mph is speed of the commercial airliner
:
:
Check this find the actual time for each
300/120 = 2.5 hrs
750/300 = 2.5 hrs, confirms our solutions
Find the speed of each aircraft
The ratio of the distances flown is 750:300 = 5:2. Since the times are the same, the ratio of the speeds is 5:2. So let the two speeds be 5x and 2x.
The speed of the airliner in mph is 60 more than twice the speed of the private plane:
5x+=+2%282x%29%2B60
5x+=+4x%2B60
x+=+60
The speeds of the two aircraft are 5x = 300mph and 2x = 120mph.
Answer:
y = - 3x - 1
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m =
with (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (0, - 1)
m = = = = - 3
the line crosses the y- axis at (0, - 1 ) ⇒ c = - 1
y = - 3x - 1 ← equation of line