Answer:
0, -2/3
Step-by-step explanation:
Answer:
a) There is no solution to the equation.
b) Solution: x = 16
Step-by-step explanation:
Hi there!
a) Let´s write the equation:
√(x + 5) - 9 = -12
add 9 to both sides of the equation
√(x + 5) = -12 + 9
√(x + 5) = -3
Square both sides of the equation
x + 5 = 9
Subtract 5 to both sides
x = 9 - 5
x = 4
Let´s check the solution:
√(x + 5) - 9 = -12
√(4 + 5) - 9 = -12
√9 - 9 = -12
3 - 9 = -12
-6 ≠ -12
Then x = 4 is not a solution to the equation.
b) Let´s write the equation:
√(4x - 7) = √(3x + 9)
square both sides of the equation
4x - 7 = 3x + 9
subtract 3x and add 7 to both sides of the equation
4x - 3x = 9 + 7
x = 16
Let´s check the solution:
√(4x - 7) = √(3x + 9)
x = 16
√(4(16) - 7) = √(3(16) + 9)
√57 = √57
Then x = 16 is the solution to the equation
$103.92
Process:
64.95/5 = 12.99, 12.99 x 8 = 103.92
Let's start with option A --> $23 per hour x 40 hours = 23 x 40 = 920 = $920
That means we have to find how many $ x 5% = $920
We'll call our unknown amount: "B", so B x 0.05 = $920
To find B you have to get ride of everything on its side:
(B x 0.05) / 0.05 = 920 / 0.05 ----> we have to do the same operations on each side.
Now we have B = 920 / 0.05 ----> B = $18,400
The salesperson must sell $18,400 in order to earn the same amount as the first option.
<h2>1/3 is the correct answer!</h2><h3></h3><h3>1 - 1/3 = 2/3</h3><h3>2/3 ÷ 2 = 1/3</h3><h3 /><h3><em>Please let me know if I am wrong.</em></h3>
