The answer would 12. Think of ratios as fractions. 1/2 = 6/12 So, 6:12
P=2
3p-1=5p-5-14+4p
3p-1=9p-19
-1=6p-19
18=6p
p=2
Answer:
32
Step-by-step explanation:
Let x is the number of groups
Let y is the total cost of the ticket
The number of people = 8x
Given that:
Ticket price: $42 for a group of up to 8 people
The cost per ticket decreased by three dollars => the slope is 3
So we can form the equation: y = -3x + 42
Here Marcos ticket cost 30 dollars, so:
y = -3x + 42 = 30
<=> -3x + 42 = 30
<=> x = 4
So the number of people in Marcos group is: 8*4 = 32
Answer:
-1
Step-by-step explanation:
See the attachment for the polynomial long division. The constant in the quotient is -1.
_____
Here, there is a remainder of -x. If there were no remainder the constant in the quotient is the ratio of the constant in the dividend to the constant in the divisor: -2/2 = -1.
That could be a first guess in a "guess and check" solution approach.
<em>Guess</em>: first term of binomial quotient is (2x^3)/x^2 = 2x; last term of binomial quotient is -2/2 = -1. So, the quotient is guessed to be (2x -1).
<em>Check</em>: (2x -1)(x^2 -x +2) = 2x^3 -3x^2 +5x -2
Subtracting this from the actual dividend gives a remainder of -x. This has a lower degree than the divisor, so no further adjustment of the quotient is required.