Answer: $9.50
Step-by-step explanation:Let's define the variables:
A = price of one adult ticket.
S = price of one student ticket.
We know that:
"On the first day of ticket sales the school sold 1 adult ticket and 6 student tickets for a total of $69."
1*A + 6*S = $69
"The school took in $150 on the second day by selling 7 adult tickets and student tickets"
7*A + 7*S = $150
Then we have a system of equations:
A + 6*S = $69
7*A + 7*S = $150.
To solve this, we should start by isolating one variable in one of the equations, let's isolate A in the first equation:
A = $69 - 6*S
Now let's replace this in the other equation:
7*($69 - 6*S) + 7*S = $150
Now we can solve this for S.
$483 - 42*S + 7*S = $150
$483 - 35*S = $150
$483 - $150 = 35*S
$333 = 35*S
$333/35 = S
$9.51 = S
That we could round to $9.50
That is the price of one student ticket.
3(x+y)=y
y is not equal to zero
*Solution
1. The given equation is 3(x+y) = y and we are tasked to find the ratio between x and y. Distributing 3 to the terms in the parenthesis,
3(x+y) = y
3x + 3y = y
Transposing 3y to the right side OR subtracting 3y from both the left-hand side and the right-hand side of the equation would give
3x = -2y
Dividing both sides of the equation by 3,
x = (-2/3)y
Dividing both sides of the equation by y,
x/y = -2/3
Therefore, the ratio x/y has a value of -2/3 provided that y is not equal to zero.
x is time and y is pencils that you have
'starts with 90' so at x=0, plot y=90
'gives away 15 every hour' so for every 1 hour, move 15 down on y
so at x=1, do 90-15=75 pencils
at x=2, do 75-15=60 pencils
etc
until you get to
x=6, do 15-15=0 pencils then stop because you can't give away 15 pencils when you have 0
see attachment for plot
I don't know how your segment tool works so you do it
if it draws a line, you only need 2 points, just do when x=0, y=90 and when x=6, y=0
Answer:
x = 5 and -2
Step-by-step explanation:
Given the function of x to be;
f(x) = (x-5)(x+2)/x+1
The value of x that will make the function zero can be calculated for by equating the given function to zero first to have;
If f(x) = 0, then;
(x-5)(x+2)/x+1 = 0
Cross multiplying;
(x-5)(x+2) = 0
(x-5) = 0 and x+2 = 0
x = 5 and x = -2
The value of x that will make the function zero is therefore 5 and -2
Answer: $1,135.15
Step-by-step explanation:
First calculate his basic pay;
= 40 * 14.60
= $584
Total for overtime worked during the week;
= 15 * 14.60 * 1.25
= $273.75
Total for overtime worked on Saturday;
= 6 * 14.60 * 1.5
= $131.40
Total for overtime worked on Sunday;
= 5 * 14.60 * 2
= $146
Sum all the figures;
= 584 + 273.75 + 131.40 + 146
= $1,135.15
