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4 years ago

5

John is living in New York, where the state sales tax is 8%. The total cost of his purchase was $50.00. What was the original pr

ice of the items before tax?

1 answer:

bogdanovich [222]4 years ago

6 0

Let p be the pre-tax cost. Then 1.08p = $50. Solving for p, the pre-tax cost, we get:

p = ($50) / (1.08) = $46.30.

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Jane had 27 stickers two weeks ago. She bought the same amount of stickers each day for these two weeks. Now she has 237 sticker

lesya [120]

Answer:

Jane bought 15 stickers per day.

Step-by-step explanation:

Given;

Total number of stickers Jane has = 237

Number of stickers 2 weeks ago = 27

To find : Number of stickers she bought each day for two weeks.

Solution,

Let the number of stickers she bought everyday be x.

∴ Number of stickers for 2 weeks = $14\times x=14x$

Now according to question,

Total number of stickers = Number of stickers 2 weeks ago + Number of stickers she bought for 2 weeks

$237=27+14x\\14x=237-27\\14x=210\\x=15$

Thus the number of stickers she bought everyday for 2 weeks is 15.

3 0

3 years ago

PLEASE HELP ASAP!!

Mice21 [21]

Nonlinear negative association

4 0

3 years ago

Dana loves rocks! She has 666 pieces of granite, 333 pieces of marble, 141414 pieces of sandstone, and 111 piece of slate. What

Lilit [14]

Answer: $14:3$

Step-by-step explanation:

<h3> The exercise is:</h3><h3> "Dana loves rocks! She has 6 pieces of granite, 3 pieces of marble, 14 pieces of sandstone, and 1 piece of slate. What is the ratio of pieces of sandstone to pieces of marble in Dana's collection?"</h3><h3></h3><h3> </h3>

You can use ratio to compare values.

By definition, ratios can be written in the following form:

$a:b$

In this case, you know that the number of pieces of different rocks that Diana has in her collections, are:

$granite=6\ pieces\\\\marble=3\ pieces\\\\sandstone=14\ pieces\\\\slate=1\ piece$

Since you must compare the number of pieces of sandstone and the number of pieces of marble in Dana's collection, you need to write the following ratio:

$sandstone:marble\\\\14:3$

5 0

3 years ago

<img src="https://tex.z-dn.net/?f=Y%3D%5Cfrac%7B-2%7D%7Bx%7D%2B4" id="TexFormula1" title="Y=\frac{-2}{x}+4" alt="Y=\frac{-2}{x}+

Studentka2010 [4]

Part A: Vertical asymptote is $x=0$

Part B: Domain is $\left(-\infty \:,\:0\right)\cup \left(0,\:\infty \:\right)$

Part C: Horizontal asymptote is $y=4$

Part D: Range is $\left(-\infty \:,\:4\right)\cup \left(4,\:\infty \:\right)$

Explanation:

Part A: We need to determine the vertical asymptote

The vertical asymptote of a function can be determined by equating the denominator equal to zero.

Thus, we have,

$x=0$

Hence, the vertical asymptote is $x=0$

Part B: We need to determine the domain

The domain of the function is the set of all independent x - values for which the function is real and well defined.

Let us take the denominator and equate to zero.

Hence, we have, $x=0$

Therefore, the function is undefined at the point $x=0$

Thus, the domain of the function is $\left(-\infty \:,\:0\right)\cup \left(0,\:\infty \:\right)$

Part C: We need to determine the horizontal asymptote

The horizontal asymptote of the function can be determined by dividing the leading coefficient of the numerator by leading coefficient of the denominator.

Thus, we have, $y=4$

Hence, the horizontal asymptote of the function is $y=4$

Part D: We need to determine the range

The range of the function is the set of all dependent y -values of the function.

In other words, the range of the function can be determined by substituting the values for x.

Thus, we have,

$\left(-\infty \:,\:4\right)\cup \left(4,\:\infty \:\right)$

Therefore, the range of the function is $\left(-\infty \:,\:4\right)\cup \left(4,\:\infty \:\right)$

6 0

3 years ago

Describe the function over each part of its domain. State whether it is constant, increasing, or decreasing, and state the slope

Amanda [17]

The attached image completes the question.

Answer:

- The part (0, 12000) is constant and the slope is zero

- The part (12000, 38000) is decreasing and slope is negative 0.26.

Step-by-step explanation:

Checking the given graph, we see that

For x = 0 to x = 12,000, the values of y are unchanged. For this, we say it is constant.

The slope here is: 0.85 - 0.85 = 0

For x = 12,000 to x = 38,000, the values of y are decreasing. For this, we say it is negative.

The slope here is: 0.59 - 0.85 = -0.26.

8 0

3 years ago