Let's solve your equation step-by-step.<span><span><span><span><span>65+6x</span>+3x</span>+9</span>+65</span>=180
</span>
Step 1: Simplify both sides of the equation.<span><span><span><span><span>65+6x</span>+3x</span>+9</span>+65</span>=180
</span><span><span><span>(<span>6x+3x</span>)</span>+<span>(<span>65+9+65</span>)</span></span>=180 </span>(Combine Like Terms)
<span><span><span>
9x</span>+139</span>=180</span><span><span>9x+139</span>=180
</span>
Step 2: Subtract 139 from both sides.
<span><span><span><span>
9x</span>+139</span>−139</span>=180−139</span><span>9x=41
</span>
Step 3: Divide both sides by 9.
<span><span>9x/9</span>=<span>41/9
</span></span><span> x=<span>41/9
And finally you divided by 41/9
Answer is x= 4.555556
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Answer:
Step-by-step explanation:
An equation in the vertex form is written as
Where the point (h, k) is the vertex of the equation.
For an equation in the form 
the x coordinate of the vertex is defined as
In this case we have the equation 
.
Where
Then the x coordinate of the vertex is:
The y coordinate of the vertex is replacing the value of 
in the function
Then the vertex is:
Therefore The encuacion excrita in the form of vertice is:
To find the coefficient a we substitute a point that belongs to the function
The point (0, -1) belongs to the function. Thus.
<em>Then the written function in the form of vertice is</em>
Answer:
C. $1,103.88
Step-by-step explanation:
The total cost is:
1785.42 × 1.06635 = 1903.88
There was no physical damage to the pool, only an accidental injury. So Opal pays the $800 deductible, and the insurance pays the rest, which is:
1903.88 − 800 = 1103.88
Answer:
Step-by-step explanation:
Let the equal number of hours be represented by variable H;
The two equations will be as follows;
Jack; 40 +30H
Mark; 50 +25H
Next, equate them;
40 + 30H = 50 + 25H
30H - 25H = 50 - 40
5H = 10
H =10/5
H = 2hrs
Therefore, they charge the same amount at 2 hrs.
B.) The amount charged;
Replace the variable H in any of the two equations above with 2 to solve for the amount.
Equation 40+30H = 40 + (30*2)
=40 + 60
= $100
Answer:
A is the answer
Step-by-step explanation:
