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vampirchik [111]
3 years ago
15

Lucas bought some plumbing equipment for $37.48 .The price the paid included a sales tax of 5% what was the price of the plumbin

g equipment before the tax was added
Mathematics
2 answers:
julsineya [31]3 years ago
5 0
Given:
Price paid including tax: $37.48
sales tax = 5%

This means that $37.48 is equivalent to 105%

To get the value of the 100% or its original price, we divide the price paid by its percentage rate

$37.48 ÷ 1.05 = $35.70 value of the original price

$35.70 * 5% =  $1.78  value of sales tax
$35.70 + 1.78 = $37.48
motikmotik3 years ago
5 0
This means that 37.48 is 105%. Find 1% by dividing 37.48 by 105. Multiply the answer you found by 100.
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What is the completely factored form of 6x2 - 13x - 5?
AnnZ [28]

Answer:

(2x - 5)(3x + 1)

Step-by-step explanation:

6x² - 13x - 5

you can solve this by factoring method by observing the factors of the x² term or the constant term. But because in this case the x² term is 6 (i.e ≠ 1), it will probably be easier to find the roots of the equation.

We'll use completing the square:

let 6x² - 13x - 5 = 0 (divide both sides by 6, to make the x² term = 1)

(6x² - 13x) / 6 = 5 /6

x² - (13/6)x = 5 /6  (complete the square by adding [(13/6)÷2 ]²= (13/12)² to both sides)

x² - (13/6)x + (13/12)²= 5 /6 + (13/12)²

[x - (13/12) ]²  = 289/144

x - (13/12) = ±√(289/144)

x - (13/12) = ± (17/12)

x = (13/12) ± (17/12)

hence

x = (13/12) + (17/12)

x = 5/2

2x = 5

2x-5 = 0 ---> hence (2x - 5) is a factor

OR

x = (13/12) - (17/12)

x = -1/3

3x = -1

3x+1 = 0 ---> hence (3x + 1) is a factor

Since we know that a quadratic equation can have at most 2 real roots, we can conclude that these are the only 2 real factors

Combining the 2 factors we have found,

6x² - 13x - 5 = (2x - 5)(3x + 1)

5 0
3 years ago
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A cell phone uses a 3.0 V battery. The circuit board it uses needs a 0.05 A current. What size resistor is needed to generate th
castortr0y [4]
Ohm's law equation used to solve this problem is;
V = IR
where V - voltage
I - current passing 
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V∞I
Resistance is the constant in the equation 
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the battery voltage is 3.0 V (volts)
substituting these values 
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R = 3/0.05 
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6 0
3 years ago
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What is the long division for 1. 5)65,749 2. 6)22,176 3. 5)25,931 4. 4)71,568 5. 7)98,694 6. 9)81,844
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3 years ago
What is the value of p?<br><br> p+1/5−1/2=1/10
kotegsom [21]
P+1/5−1/2=1/10
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2-5/10

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p= 1/10+3/10
p= 4/10

4÷2= 2
10÷2 = 5
>The answer is:
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aleksandrvk [35]

about 200 pounds would be your anwser

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