A)
Knights:
25n-C+1250=0
25n+1250=C
C=25n+1250
Legions:
30n+995-C=0
30n+995=C
C=30n+995
b)
fixed cost=b in y-intercept form
variable cost, dependent on n=m in y-intercept form
Knights:
fixed=1250
variable=25
Legions:
fixed=995
variable=30
c)
insert 45 into n for both formulas:
Knights:
25*45+1250=1125+1250=2375
Legions:
30*45+995=1350+995=2345
d)With 45 guests the Legion's Banquett Hall is cheaper, but due to the higher variable cost this changes with a few more people.
calculate break even point:
difference in variable cost=5 -> per person the cost difference will decrease by this much if another person joins
current price difference: 2375-2345=30
30/5=6 -> if there are 6 additional guest (total= 51) they will cost the same
if there are more than 6 additional guest (total >51) the knight's banquett will be cheaper.
The third one, for every 6 french fries, there is 1 packet of ketchup.
Answer:
( -4, -3 )
Step-by-step explanation:
Let's solve by elimination. Reason being there are no variables without coefficients.
−5y+3x=3 Multiply equation by 3. Each term.
−8y+9x=−12
-15y + 9x = 9 Subtract the to equations
-8y + 9x = -12
___________
-7y = 21
y = -3
Substitute y into original equation
-5(-3) + 3x = 3
15 + 3x = 3 Subtract 15 both sides
3x = -12 Divide by 3, both sides
x = -4
Let represents the total cost. We know for our problem that each yard of satin fabric costs $8.09, so yards will cost . similarly, each yard of cotton fabric costs $3.79, so yards will cost . We can also infer that the total cost, , will be the sum of the yards of satin fabric and the yards of cotton fabric, so:
Now, to determine the amount that Angeline would spend in all if she bought 5 yards of satin fabric and 8 yards of cotton fabric, we just need to replace and in our expression:
We can conclude that if Angeline would spend in all if she bought 5 yards of satin fabric and 8 yards of cotton fabric, she would spend $70.77
Answer: 
Step-by-step explanation:
You need to draw a Right triangle as the one attached, where "x" is the lenght of a ladder Andrew will need to reach the top and be out of the flower bed.
You must apply the Pythagorean Theorem. This is:
Where "a" is the hypotenuse and "b" and "c" are the legs of the Right triangle.
If you solve for "a", you get:
In this case, you can identify in the figure that:
Therefore, knowing those values, you can substitute them into and then you must evaluate, in order to find the value of "x".
This is:
