Answer: Hillary would have to invite 15 people before the cost of having the party at Hotel B is less than the cost of having a party at Hotel A
Step-by-step explanation:
Let x represent the number of guests that Hillary would invite.
The banquet hall at Hotel A will cost $431 to rent the room and $38 per guest. This means that the total cost of hosting x guests at hotel A is
38x + 431
The banquet hall at Hotel B will cost $747 to rent the room and $16 per guest. This means that the total cost of hosting x guests at hotel B is
16x + 747
For the cost of having the party at Hotel B to be less than the cost of having a party at Hotel A, it means that
16x + 747 < 38x + 431
747 - 431 < 38x - 16x
316 < 22x
22x > 316
x > 316/22
x > 14.36
Answer:
X = -7
Step-by-step explanation:
4 quarts = 1 gallon
2 pints = 1 quart —> 8 pints = 4 quarts
2 cups = 1 pint —> 16 cups = 8 pints
Therefore 16 cups are in a gallon
Answer:
1.10 quarts
Step-by-step explanation:
We are given that
Capacity of system=20 quarts=
1 gallon=4 quarts
Initially mixture contains
Antifreeze=3 quarts=
Water=17 quarts=
Water runs in to the system=1gal/min
We have to find the antifreeze in the system at the end of 5 minutes.
Concentration inflow=0
Let Concentration outflow=x
Rate of system=Concentration inflow(water inflow rate)-Concentration outflow(water outflow rate)


Taking integration on both sides






Using formula



Substitute t=5

Hence, in the end of 5 minute ,the antifreeze in the system=1.10 quarts