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Natalka [10]
3 years ago
7

Dexter sees a jacket that has a regular price of $69.99. He decides to purchase the jacket and gets a 20% discount. How much doe

s Dexter have to pay if there is a sales tax of 8%?
Mathematics
1 answer:
Evgen [1.6K]3 years ago
5 0

20% as a decimal = 0.20 × 69.99=£14.00

69.99-14=55.99

Step-by-step explanation:

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A store is selling two mixtures of nuts in 20-ounce bags. The first mixture has 15 ounces of peanuts combined with five ounces o
Mnenie [13.5K]
Given that a <span>store is selling two mixtures of nuts in 20-ounce bags: peanuts and cashews.

Let the cost of one ounce of peanut be x and the cost of one ounce of cashew be y, then

Given that </span>t<span>he first mixture has 15 ounces of peanuts combined with five ounces of cashews, and costs $4.25 implies that 15x + 5y = 4.25

Also, given that </span>t<span>he second mixture has five ounces of peanuts and 15 ounces of cashews, and costs $6.75 mplies that 5x + 15y = 6.75

To obtain the cost of </span><span>one ounce of peanuts and one ounce of cashews, we solve the two equations above, simultaneously:
15x + 5y = 4.25 - - - (1) \\ 5x + 15y = 6.75 - - - (2) \\  \\ (1)\times3\Rightarrow45x+15y=12.75 - - - (3) \\  \\ (2)-(3)\Rightarrow-40x=-6 \\  \\ \bold{x= \frac{-6}{-40} =0.15} \\  \\ From\ (1):15(0.15)+5y=4.25 \\  \\ 5y=4.25-2.25=2 \\  \\ \bold{y= \frac{2}{5} =0.4}

Therefore, </span><span>one ounce of peanuts and one ounce of cashews cost $0.15 and $0.40 respectively.</span>
4 0
2 years ago
3x+7y=76<br> 9y+5y=108<br> find x<br> find y
klemol [59]

In the given system of equations, the value of x is 7.334 and the value of y is 7.714

<h3>Solving system of linear equations</h3>

From the question, we are to solve the given system of linear equations

The given system of linear equations is

3x + 7y = 76               ------------ (1)

9y + 5y = 108             ------------ (2)

From equation (2), solve for y

9y+ 5y = 108

14y = 108

y = 108/14

y = 7.714

Substitute the value of x into equation (1), to determine the value of x

3x + 7y = 76

3x + 7(7.714) = 76

3x + 53.998 = 76

Subtract 53.998 from both sides of the equation

3x + 53.998 - 53.998  = 76 - 53.998

3x = 22.002

Divide both sides of the equation by 3

3x/3 = 22.002/3

x = 7.334

Therefore,

x = 7.334 and y = 7.714

Learn more on Solving system of linear equations here: brainly.com/question/13729904

#SPJ1

8 0
1 year ago
To divide 3/8 ÷ 1/4 using a model, which of the following are true? Select all that are correct.
alina1380 [7]

So your answer according to these hints I provided for you, should lead you to your answer, which should in other words be,

The 1st. The 2nd. And I would say...The 4th. The reason why I say not the 3rd one is because the 4 has nothing to do with the 8, the 3 does because it's divided by it.

If it's not useful, feel free to report for mistake in answer. -_-



5 0
3 years ago
2. The line that passes through the points (-6, p)
Kobotan [32]
Answer: -26=p


Explanation: The slope formula is m=(y2-y1)/(x2-x1).

Thus, we have 6=(2-p)/(-10-(-6)).

Combining the xs gives us 6=(2-p)/-4.

Multiplying both sides by -4 leaves us with -24=2-p.

We do -24-2 to isolate p and find that p=-26.
5 0
2 years ago
What is the slope of the line that passes through the points (1, -6)(1,−6) and (-8, 9) ?(−8,9)?
Monica [59]

Answer:

The answer to your question is  m = -5/3      

Step-by-step explanation:

Data

Point 1 = (1, -6)

Point 2 = (-8, 9)

Process

To find the slope just substitute the values in the formula and simplify.

Formula

slope = m = (y2 - y1) / (x2 - x1)

-Identify x1, y1, x2 and y2

  x1 = 1    y1 = -6   x2 = -8  y2 = 9

-Substitution

             m = (9 + 6) / (-8 - 1)

-Simplification

             m = 15/-9

-Result

             m = -5/3            

4 0
2 years ago
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