For a geometric progression
a, b, c, d
there is a common ratio r equal to:
r = b/a = c/b = d/c
Let the missing number be x
r = x/50 = 450 /x
x² = 22500
x = 150
Answer: 90 degrees
Step-by-step explanation: A circle is 360 degrees so since that is 1/4 you can divide
360/4 = 90 (: hope this helps
Answer:
B. 35
Step-by-step explanation:
The bus company charges $80 for each passenger up to 30. They charge $2 less per person over 30. This means for 31 passengers they charge $78, for 32 passengers they charge $76 etc. The total revenue for the bus company will be the price of each ticket times the number of passengers. This is shown below in the table.
Passengers Revenue
30 30*80 = 2400
31 31*78 = 2418
32 32*76 = 2432
33 33*74 = 2442
34 34*72 = 2448
35 35*70 = 2450
....
40 40*60 = 2400
The max revenue the company receives is 35 passengers.
4x + 3y = 0
2x + y = -2
take 2x and subtract to the side with -2
it'll look like this: y = -2x - 2
plug that equation in where the y is in the other equation.
it'll look like this: 4x + 3(-2x - 2)=0
which you multiply 3 and the -2x and the -2
which the equation would be: 4x - 6x - 6=0
put together like terms: -2x - 6=0
add the 6 to the side with the zero: -2x = 6
divide both sides by -2 which x= -3
to get y you plug in the answer for x (-3)
2(-3)+y= -2
so it'd then be -6 + y = -2
add the -6 to the side with -2
y= -2 +6
y= 4
so your complete answer is ( -3, 4)
