Answer:
We will add 3 to each side of the equation
Step-by-step explanation:
x^2 − 8x + 13 = 0
We want to complete the square
We will subtract 13 from each side of the equation
x^2 -8x +13 -13 = 0 -13
x^2 -8x = -13
Then take the coefficient of x
-8
Divide by 2
-8/2 = -4
Square it
(-4)^2 = 16
Add this to each side
x^2 -8x +16 = -13+16
( x-4) ^2 = 3
The sum of subtracting 13 and adding 16 is adding 3
The answer is C because I can c the answer right in front of me
Answer:
The number of seashells he have in his collection all together is 140.
Step-by-step explanation:
Given:
Stanley has a collection of seashells. He found 35% of his collection on Florida beaches.
Stanley has 49 seashells from Florida.
Now, to find the number of seashells of his collection altogether.
Let the number of seashells all together be 
Percentage of seashells found on Florida beaches = 35%.
Number of seashells found on Florida beaches = 49.
Now, to get the number of seashells altogether we put an equation:

⇒ 
⇒ 
⇒ 
Dividing both sides by 0.35 we get:
⇒ 
Therefore, the number of seashells he have in his collection all together is 140.
Answer:
Mechanic 1: $55 per hour
Mechanic 2: $105 per hour
Step-by-step explanation:
Given
Represent the rate of the first mechanic with x and the second with y.
So, we have:

The total earnings is: $1850, so we have:

Required
Determine the rate of each
The equations are:
--- (1)
--- (2)
Divide (2) through by 5
--- (3)
Subtract (1) from (3)


Divide through by 2


Substitute 105 for y in (1)

Make x the subject

Substitute 105 for y


Hence:
Mechanic 1: $55 per hour
Mechanic 2: $105 per hour
1,157 a month has approximate of 4 weeks so
289.25 x 4 = 1,157