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konstantin123 [22]
2 years ago
8

Violet buys a premium sound system that is on sale for 40% off the original price. The original price is $224 more than the sale

price
Mathematics
1 answer:
Firdavs [7]2 years ago
7 0

Answer:

The original price was of $560, while the sales price was of 560 - 224 = $336.

Step-by-step explanation:

Original price:

x

Sales price:

224 less than the sales price, that is:

x - 224.

On sale fo 40% of the original price:

So the sales price is 100 - 40 = 60% = 0.6 of the original price. That means that:

x - 224 = 0.6x

0.4x = 224

x = \frac{224}{0.4}

x = 560

The original price was of $560, while the sales price was of 560 - 224 = $336.

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"Kendra loves to play sports, but she also enjoys watching them." Is it simple, compound, or complex sentence?
Radda [10]

Answer:

compound

Step-by-step explanation:

it uses a comma and the conjunction but. so it is seen to be a compound sentence

7 0
3 years ago
A line passes through (8,-4) and has slope 2/3. What is an equation in point slope form of the line? An equation of the line is?
QveST [7]

Answer:

The point slope form of the line would be y + 4 = 2/3(x - 8) and the equation of the line would be y = 2/3x - 28/3

Step-by-step explanation:

To find the point-slope form of the line, start with the base form of point-slope form. Then input the point we have and the slope in the appropriate places.

y - y1 = m(x - x1)

y - -4 = 2/3(x - 8)

y + 4 = 2/3(x - 8)

Now to find the slope intercept form, you simply  need to solve for y.

y + 4 = 2/3(x - 8)

y + 4 = 2/3x - 16/3

y = 2/3x - 28/3

3 0
3 years ago
Factor completely: 3x2 − 17x − 28
Andrej [43]
3x^2 + 4x - 21x - 28
x(3x + 4) - 7(3x + 4)
(3x + 4) (x - 7)

Answer: B).
5 0
3 years ago
Read 2 more answers
Does the point (4 , 9) satisfy the equation y = x - 5?
stepladder [879]

Answer:

(4, 9) does not satisfy the equation

Step-by-step explanation:

Given the linear equation, y = x - 5, and the point, (4, 9):

We can determine whether (4, 9) is a solution to y = x - 5 by substituting their values into the equation.

x = 4, and y = 9:

y = x - 5

9 = 4 - 5

9 = -1   (False statement)

As demonstrated in our calculations, it turns out that (4, 9) does not satisfy the equation. Therefore, (4, 9) is <u><em>not</em></u> a solution to y = x - 5.

6 0
2 years ago
In order to estimate the mean amount of time computer users spend on the internet each​ month, how many computer users must be s
Lyrx [107]

Answer:

832

Step-by-step explanation:

standard deviation =228 minute

error =13 minute given

confidence level =905% =0.90

α=1-0.90=0.1

z_\frac{\alpha }{2}=z_\frac{0.1}{2}=1.645

we know that sample size should be greater than

n\geq \left ( z_\frac{\alpha }{2}\times \frac{\sigma }{E} \right )^2

n\geq \left ( 1.645\times \frac{228}{13} \right )^{2}

n\geq 28.850^2

n\geq 832.3668

n=832

4 0
3 years ago
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