Answer:
Step-by-step explanation:
By the diagram FG = MN.
3y + 3 = 5y - 25 Add 25 to both sides
3y + 3 + 25 = 5y Subtract 3y from both sides
28 = 5y - 3y Combine
28 = 2y Divide by 2
28/2 = 2y/2
y = 15
15 is not your answer. It is just the value of y.
3y + 3 = 3*15 + 3 = 45 + 3 = 48
Answer:
D
Step-by-step explanation:
It's the only thing not listed aka the number of math problems.
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.
There is 1 serving of lemon juice to 3 cups water. Hence why it's 1:3 ratio.
Since it's 1:3, then 2 servings to 6 cups of water, so on and so forth.
Multiply your lemon juice servings by 3 to find out how many cups of water for the table.
To find how much lemon juice for 36 cups of water, just divide 36 by 3 to get 12. 12 servings of lemon juice is just right for your 36 cups of water.
There are several information's that are already given in the question. Based on those information's the answer to the question can be easily deduced.
Weight of 4 gallons of gasoline = 25 pounds
Then
Weight of 1 gallon of gasoline = 25/4 pounds
= 6.25 pounds
From the above deduction, we can easily conclude that the unit rate in pounds per gallon of gasoline is 6.25 pounds/gallon. I hope the answer helps you.
