The number of discount tickets was sold is 139.
The linear equation of two variables is the equation where the highest degree of two variables is 1.
Here given that the organizer receives 2884 by selling tickets.
The number of tickets sold is 430
The full price of one ticket is 8.
The discount price of ticket is 4.
Let the number of full price ticket sold is x and the number of discount ticket sold is y.
Then the total price will be = (the price of full price ticket* number of tickets) + (number of discount ticket sold*discount price of one ticket)
= 8x+4y
From the above it is clear that 8x+4y=2884 ------equation 1
total number tickets are = x+y
⇒ x+y =430 -------equation 2
multiplying 8 in equation 2 will be
8x+8y=3440
then subtracting equation 1 from the above equation
8x+8y -(8x+4y)=3440-2884
⇒4y=556
⇒y=556/4
⇒y=139
Therefore the number of discount tickets sold is 139.
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I think that the answer is a because you only have to terms after you distribute hope this helps you
Answer:
(4x-7)(4x+7)
Step-by-step explanation:
This is called the Difference of Two Squares (DOTS).
These are the conditions that must be met for DOTS to work:
•There must be 2 terms.
•They must be separated by a negative sign.
•Each term must be a perfect square.
First, you have to find 2 square numbers that times together to make 16.
4×4=16
As we want 16x², you just need to make the 4 become 4x:
4x times 4x equals 16x²
Then, find 2 squares that times together to make 49.
7×7=49
You can put the two squares into a bracket with the x variable first, then the number:
(4x-7)(4x+7)
In the brackets, you always put the negative sign in the first one and then the plus sign in the second one.
You can double check your answer by expanding it back out again using FOIL:
F-First
O-Outer
I-Inner
L-Last
Times the First two in the two brackets:
4x times 4x equals 16x²
Times the Outer two:
4x times 7 equals 28x
Times the Inner two:
-7 times 4x equals -28x
Times the Last two:
-7 times 7 equals -49
Form an equation:
16x²+28x-28x-49
The 28x cancel out to leave:
16x²-49
Hope this helps :)
Answer:
Step-by-step explanation:
An exponential function is of the form
where a is the initial value and b is the growth/decay rate. Our initial value is 64. That's easy to plug in. It goes in for a. So the first choice is out. Considering b now...
If the rate is decreasing at .5% per week, this means it still retains a rate of
100% - .5% = 99.5%
which is .995 in decimal form.
b is a rate of decay when it is greater than 0 but less than 1; b is a growth rate when it is greater than 1. .995 is less than 1 so it is a rate of decay. The exponential function is, in terms of t,
