Answer: 40 adult tickets and 35 child tickets were sold.
Step-by-step explanation:
Let x represent the number of adult tickets that were sold.
Let y represent the number of child tickets that were sold.
April sold 75 tickets to a school play. It means that
x + y = 75
If the adult tickets cost $8 each and child tickets cost $5 each and and a total of $495 was collected from ticket sales, it means that
8x + 5y = 495- - -- - - - - - - - -1
Substituting x = 75 - y into equation 1, it becomes
8(75 - y) + 5y = 495
600 - 8y + 5y = 495
- 8y + 5y = 495 - 600
- 3y = - 105
y = - 105/-3
y = 35
x = 75 - y = 75 - 35
x = 40
elimination
X- 2y = 3
3x - y = 2
Answer: x = 1/5 and y= -7/5
Step-by-step explanation: Let's solve your system by elimination.
Multiply the first equation by -3,and multiply the second equation by 1.
-3 (x - 2y = 3)
1 (3x - y = 2)
Becomes:
-3x + 6y = -9
3x -y = 2
Add these equations to eliminate x:
5y = -7
Then solve 5y = -7
5y/7 = -7/5
y = -7/5
Now that we‘ve found y, let’s plug it back in and solve for x.
Write down an original equation:
x - 2y = 3
B. Locate the ordered pair (0, –6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.
C.Locate the ordered pair (–6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.
D.Locate the ordered pair (–6, 0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.
Answer:
A is the correct option.
Step-by-step explanation:
The slope of the line is 2 and the y-intercept is -6.
y-intercept is the point where x is zero. Hence, the point is (0,-6)
When we graph a linear function by slope-intercept method, first of all we plot the y-intercept.
Hence, first of all we plot the point (0,-6)
Now, slope is given by
if rise is positive then we move up from the y -intercept and if negative then move down. We keep run always positive and hence we move right from the rise point.
rise = 2
run = 1
Rise is positive hence, we move 2 units up from the point (0,-6) and then move 1 unit right to get the next point. Then we draw a line passing through these points.
A is the correct option.
Answer:
We choose C
Step-by-step explanation:
the coordinates at 135° are at (, )
As we can see, the x coordinate of the point is negative and the y coordinate of it is positive.
So this point is located at the quadrant ii
From 135 ° to 315°, it is rotated 180°
=> Each coordinate (x,y) is changed to (-x,-y)
= (, ) the new coordinate is located in quadrant iii
We choose C