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jok3333 [9.3K]
3 years ago
8

Lanee purchased a briefcase online. The total bill of $95.68 included a $5.25 shipping charge and 5% tax on the purchase. If Lan

ee used a $5 off promotional code that was applied before tax, how much was the original price of the briefcase?
Mathematics
1 answer:
Afina-wow [57]3 years ago
8 0

Price plus tax = Total amount - Shipping charge

Price plus tax = $95.68 - $5.25

Price plus tax = $90.43

Let, x is the price excluding tax :

x+\dfrac{5x}{100}=90.43\\\\105x=9043\\\\x=\$86.12

Also, she used $5 off promo code.

So, Original price = $86.12 + $5

Original price = $91.12 .

Hence, this is the required solution.

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nevsk [136]
A hopefully I'm not mistaking
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3 years ago
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Solve this equation. 7.85 + q is less than or equal to -18.15
VashaNatasha [74]

7.85+q≤ -18.15

Simplify both sides of the inequality

q+7.85 ≤ -18.15

Subtract 7.85 from both sides

q+7.85-7.85 ≤ -18.15-7.85

Q ≤ -26


I hope that's help !



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3 years ago
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PLEASE HELP ASAP
BaLLatris [955]

The value k needed for the transformation of f(x) to g(x) = f(k · x) is equal to 3.056.

<h3>How to find the find the dilation factor</h3>

In this problem we have the following relationship bewteen the two <em>quadratic</em> equations: g(x) = f(k · x), which means that for all y the following relationship between f(x) and g(x):

k = \frac{x_{g}}{x_{f}}

Let suppose that y = 3, then x_{f} = - 5.5 and x_{g} = - 1.8, then the value k is:

k = (- 5.5)/(- 1.8)

k = 3.056

The value k needed for the transformation of f(x) to g(x) = f(k · x) is equal to 3.056.

To learn more on transformations: brainly.com/question/11709244

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6 0
2 years ago
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Tanya [424]
Sin C = AB / AC
We have AC. We need to calculate AB

ABC is a right triangle. Therefore, AC² = AB²+BC²
82² = AB ² + 80² => AB² = 82² - 80²
AB = 18

Sin C = 18/82 = 9/41

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3 years ago
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The sum of three numbers is 104. The first number is 10 less than the second. The third number is 4 times the second. What are t
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Answer:

The numbers are 9, 19 and 76.

Step-by-step explanation:

Let's take the second number and make it a variable, like x. Now let's find all the other numbers in terms of x.

The first number in terms of x:

x - 10

The second number in terms of x:

4x

If we add them all up, these 3 numbers in terms of x must be equal to 104, so:

x + (x - 10) + (4x) = 104 \\ x + x - 10 + 4x = 104 \\ 6x - 10 = 104 \\ 6x = 114 \\ x = 19

Now that we know the second number, we can find the other numbers since we already figured out their values in terms of x:

19 - 10 = 9

4 \times 19 = 76

The first number is 9, second number 19 and the third number 76.

6 0
3 years ago
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