9514 1404 393
Answer:
Step-by-step explanation:
Using the least common denominator, we have ...
The values of a and b are ...
a = 3
b = -18
Answer:
The price of collection of novels before taxes was <u>$409.10</u>.
Step-by-step explanation:
Given:
Ava bought a collection of hardcover novels and paid $450 including sales tax.
The sales tax is 10%.
Now, to find the price of collection of novels before taxes.
Let the price of collection of novels before sales tax be 
.
The price of collection of novels including sales tax = $450.
Rate of sales tax = 10%.
Now, to get the price before sales tax by putting an equation:
<em>Adding both sides by 0.10</em><em> we get:</em>
<em />
<em />
<em>Dividing both sides by 1.10 we get:</em>
Therefore, the price of collection of novels before taxes was $409.10.
Answer:
x = 1 or x = -5
Step-by-step explanation:
We are given;
- The quadratic equation, x² + 4x - 13 = -8
We are required to solve the equation using the completing square method.
To do this, we use the following steps;
Step 1: We make sure the coefficient of x² is one
x² + 4x - 13 = -8
Step 2: Combine the like terms (take the constant term to the other side)
x² + 4x - 13 = -8
x² + 4x = -8 + 13
we get
x² + 4x = 5
Step 3: We add the square of half the coefficient of x on both sides of the equation
Coefficient of x = 4
Half of coefficient of x = 2
Square of half the coefficient of x = 2² (4)
We get;
x² + 4x + (2²) = 5 + (2²)
Step 4: Put x and 2 under one square and the solve the other side of the equation.
We get
(x + 2)² = 5 + 4
(x + 2)² = 9
Step 5: Get the square root on both sides of the equation;
(x + 2)² = 9
√(x + 2)² = ±√9
(x + 2)= ±3
Therefore;
x+2 = + 3 or x + 2 = -3
Thus, x = 1 or -5
The solution of the equation is x = 1 or x = -5
i do believe the correct answer would be letter C. terms, 4mn, m, and 5
hope this helps :)
Answer:
£200
Step-by-step explanation:
4 friends - 4 tickets
They need to BUY 3 tickets.
3 tickets will cost £1200
Divide the £1200 between the 4 friends which is £300.
They will then get the other 1 ticket for free and have 4 altogether!
