Answer:
is the required equation.
The Per sq ft of sheet costs $ 27.31.
Step-by-step explanation:
The total amount of sheet purchased = 8.8 sq. ft
The amount of sheet used = 2. 1 sq ft.
The worth of remaining sheet = $183
Let us assume the cost per sq ft of sheet = $x
Now, the remaining sheet =
Amount of total sheet purchased- Amount of sheet used
= 8.8 sq. ft - 2. 1 sq ft. = 6. 7 sq. ft
So, the worth of the remaining sheet 6.7 sq ft is $183.
⇒ Worth of 1 sq ft of sheet = $183 /6.7 sq ft
or, 
or x = $27.31
Hence, the Per sq ft of sheet costs $ 27.31.
Answer:
(c) x = 2 and x = -8
Step-by-step explanation:
The rules of logarithms let you rewrite this as a quadratic equation. That equation will have two (2) potential solutions. We know from the domain of the log function that any negative value of x will be an extraneous solution.
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The rules of logarithms that apply are ...
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<h3>take antilogs</h3>
We can rewrite the equation so that only one logarithm is involved. Then we can take antilogs.
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<h3>solve the quadratic</h3>
Adding (6/2)² = 9 to both sides will "complete the square."
16 +9 = x² +6x +9 . . . . . . . add 9
25 = (x +3)²
±√25 = x +3 = ±5 . . . . . take the square root(s)
x = -3 ±5 = {-8, +2}
The two potential solutions are x = 2 and x = -8.
Answer:
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hope this helps
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Step-by-step explanation:
A)
X/3 -2 = 6
Add 2 to both sides:
X/3 = 8
Multiply both sides by 3:
X = 24
B)
X/5 +1 = 5
Subtract 1 from both sides:
X/5 = 4
Multiply both sides by 5:
X = 20
The answer is 90/91. 6 1/2 - 7/8 divided by 5 11/16. Turn 6 1/2 and 5 11/16 to an improper fraction. 6 1/2= 13/2. 5/11= 91/16. Then you have to get each fraction to have equal denominators. All of them can have a denominator of 16. So you times everything to get a denominator of 16. 13/2= 104/16. 7/8=14/16. 91/16 stays the same because the denominator is already 16. Next you subtract 104/16 and 14/16 and get 45/8.( because you need to put it in simplest form.) Lastly you divide 45/8 by 91/16 and get 90/91.
