The tub holds 43 gallons.....it contains 18.....(43 - 18) = 25....so it needs 25 gallons.....after 5 minutes, the tub is full.....so it fills at a rate of 25/5 = 5 gallons per minute
y = 5x + 18....where y is the total gallons and x is the number of minutes
but we need it in standard form....
y = 5x + 18
-5x + y = 18
5x - y = -18 <== standard form
If two angles are complementary, it means that they add up to 90 degrees.
It two angles are congruent, it means that they have the same angle measure.
Let the angle measure of AXB = x
and the angle measure of BXC = y
Because the two angles are complementary i.e. they add to 90:
x + y = 90
Because the two angles are congruent i.e. they equal each other:
x = y
Plug x = y back into the first equation.
x + x = 90
x = 45
y = 45
Angles AXB and BXC are both 45 degrees.
Ok for this problem, there are 2 equations representing hall A and hall B
hall A: y=76x+862 where x=number of dinners and y=total cost
hall B: y=75x+894 for the same variables
To find where the 2 meet, simply substitute one equation into the other, creating: 76x+862=75x+894
Solving this, we find that x=32, so at 32 guests, the cost would be the same
For part 2, put the answer for part 1 into either equation from the start, so y=76(32)+862, or y=3294
And we already found that x=32, which represents the # of guests
Answer:
Step-by-step explanation:
