Answer:


Step-by-step explanation:
<u>Solution 3:</u>
Equivalent fractions to are to
be found out.
<u>Method: </u> By Multiplying both the denominator and numerator with the same number, we can easily find equivalent fractions.
1. Multiply with 2:

2. Multiply with 3:

3. Multiply with 4:

If we try to write in variable form, it can be written as:

where x is any number.
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<u>Solution 4:</u>
when 

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<u>Solution 5:</u>

Answer:
Option 1 is correct.
-5
Step-by-step explanation:
Given:
The given expression is.

Write the given expression in simplest form.

Add negative term of y.


The simplest form of given expression is 
Therefore, the coefficient of the variable term is -5
First find the amount at the end of the deferment period using the formula of the future value of a compound interest
A=8,960×(1+0.2735÷12)^(6)
A=10,257.25
Use the amount we found as the present value to find the monthly payment by using the formula of the present value of an annuity ordinary to get
PMT=10,257.25÷((1−(1+0.2735
÷12)^(−12×6))÷(0.2735÷12))
=291.27 ....Answer
Answer:
(x + 1)² = 7
Step-by-step explanation:
Given:
-2x = x² - 6
We'll start by rearranging it to solve for zero:
x² + 2x - 6 = 0
The first term is already a perfect square so that's fine. Normally, if that term had a non-square coefficient, you would need to multiply all terms a value that would change that constant to a perfect square.
Because it's already square (1), we can simply move to the next step, separating the -6 into a value that can be doubled to give us the 2, the coefficient of the second term. That value will of course be 1, giving us:
x² + 2x + 1 - 1 - 6 = 0
Now can group our perfect square on the left and our constants on the right:
x² + 2x + 1 - 7= 0
x² + 2x + 1 = 7
(x + 1)² = 7
To check our answer, we can solve for x:
x + 1 = ± √7
x = -1 ± √7
x ≈ 1.65, -3.65
Let's try one of those in the original equation:
-2x = x² - 6
-2(1.65) = 1.65² - 6
- 3.3 = 2.72 - 6
-3.3 = -3.28
Good. Given our rounding that difference of 2/100 is acceptable, so the answer is correct.
With 20 tickets sold the revenue would be 30
With 2 it would be $3
Therefore 1 ticket would have a $1.50 revenue