I believe he will work about 3 shifts. The answer I got was 3 1/4 shifts to get exactly 2.5 hours.
X= sandwiches
y= bottles of water
QUANTITY EQUATION
x+y= 200
COST EQUATION
$3x + $0.75y= $318.75
STEP 1
solve for one variable in quantity equation and substitute in cost equation
x+y= 200
subtract y from both sides
x= 200-y
STEP 2
substitute 200-y in for x
$3x + $0.75y= $318.75
3(200-y) + 0.75y= 318.75
600 - 3y + 0.75y= 318.75
combine like terms
600 - 2.25y= 318.75
-2.25y= -281.25
divide both sides by -2.25
y= 125 number of water bottles
STEP 3
substitute y=125 in either equation
x+y= 200
x + 125= 200
x= 75 sandwiches
ANSWER: There were 75 sandwiches and 125 bottles of water.
Hope this helps! :)
Answer:
48 square feet
Step-by-step explanation:
A = length x width. (A =lw)
So, 8 x 6 = 48
Answer:
Convergent
Step-by-step explanation:
This is an alternating series where bn = 2n / eⁿ. Apply the alternating series test:
lim(n→∞) bn
= lim(n→∞) (2n / eⁿ)
Use L'hopital's rule:
= lim(n→∞) (2 / eⁿ)
= 0
For n ≥ 1, the series is decreasing. 2(n+1) / eⁿ⁺¹ < 2n / eⁿ.
Therefore, the series converges.
2x - 17y = 13
Since we don't have the the value of x we would set x = 0
2(0) - 17y = 13
And solve
-17y = 13
y = -13/17
You would do the same if you're solving for x
2x - 17(0) = 13
2x = 13
x = 13/2
(I'm not sure if you are missing anything but based on the information provided this is how I would solve it.)
