Let a=price of adult ticket
let c=price of a child's ticket
start out by writing the following system of equations:
3a+4c=132
2a+3c=94
then, multiply the first equation by 2, and the second equation by 3 to get the following system of equations:
6a+8c=264
6a+9c=282
subtract the like terms to get the following equation:
-c=-18
divide both sides by -1 to get rid of the negative to get the price of a child's ticket to be $18. to find the price of an adult ticket, pick one of the original equations to substitute the 18 in for c to find a. for example:
2a+3c=94
2a+3(18)=94
2a+54=94
-54 -54
2a=40
2 2
a=20
or if you decide to use the other equation:
3a+4c=132
3a+4(18)=132
3a+72=132
-72 -72
3a=60
3 3
a=20
either way, you still get an adults ticket to be $20 and a child's ticket to be $18.
Answer:
1000
Step-by-step explanation:
x = 1, y = -1, and z = 2
Step-by-step explanation:
Consider the provided information.
For the condition statement
or equivalent "If p then q"
The rule for Contrapositive is: Negative both statements and interchange them. 
Part (A) If you are taller than 6 ft, then it is unpleasant for you to travel in economy class.
Here p is "you are taller than 6 ft, and q is "it is unpleasant for you to travel in economy class".
It is given that Your contrapositive must not contain explicit references to negation. Assume that the negation of "unpleasant" is "pleasant".
Contrapositive: If it is pleasant for you to travel in economy class then you are not taller than 6 ft then.
Part (B) "If x ≥ 0 and y ≥ 0 then xy ≥ 0" where x, y are real numbers.
Here p is "xy≥ 0, and q is "x ≥ 0 and y ≥ 0"
The negative of xy≥ 0 is xy<0, x ≥ 0 is x<0 and y ≥ 0 is y<0.
Remember negative means opposite.
Contrapositive: If xy < 0 then x<0 and y<0.
Answer:
m = 2/3
Step-by-step explanation:
slope is equal to rise/run
rise = y2 - y1 = 7 - 1 = 6
run = x2 - x1 = 3 - (-6) = 9
simplify 6/9 = 2/3
0x + y = 1 is the standard form of (3, 1) with m = 0
<u>Solution:</u>
We have been given a point and slope of an equation and have been asked to write it in the standard form.
The standard form of a line is in the form Ax + By = C where A is a positive integer, and B, and C are integers. The standard form of a line is just another way of writing the equation of a line.
The given point is (3,1) and the slope is 0
To write in standard form we will first write it in point slope form and then rearrange it into a standard from.
The point slope form of line is given as:

Where "m" is the slope of the line
Here in this problem, 
y - 1 = 0(x - 3)
y - 1 = 0
y = 1
since the above equation doesn’t have an ‘x’ term we convert into a standard form as follows:
0x + y = 1
This is the standard form for the given point and slope of a line.