Answer:
Kay sold 67 cell phones and Allen sold 50 cell phones.
Step-by-step explanation:
Let k = # cell phones Kay sold and a = # cell phones Allen sold.
k + a = 117
k = 17 + a
So:
(17 + a) + a = 117
2a = 100
a = 50
Plug this back into 2nd equation:
k = 17 + a
k = 17 + 50
k = 67
Kay sold 67 cell phones and Allen sold 50 cell phones.
Answer:
Step-by-step explanation:
For problem #1 identify the coordinates of the point of intersection of the two lines. This point is (4, 2), and this is the solution to #1.
In problem #2 the lines never cross, and thus we conclude that there is no solution.
Answer:
The equation of the new line is
or 
Step-by-step explanation:
step 1
Find out the slope of the line with x-intercept (3,0) and y intercept (0,3)
The formula to calculate the slope between two points is equal to
substitute the values
step 2
Find the slope of the new line perpendicular to the given line
we know that
If two lines are perpendicular,then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

we have
----> slope of the given line
so
---> slope of the new line
step 3
Find the equation of the new line in point slope form

we have


substitute

----> equation in point slope form
Convert to slope intercept form

isolate the variable y


1 gallon______8.354 lbs.
11.81 gallons______?
8.354 x 11.81 = 98.66
98.66 / 1 = 98.66 lbs.