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adelina 88 [10]
3 years ago
9

Seth buys last year's best-selling novel, in hardcover, for $17.85 $⁢17.85 . This is with a 15% 15% discount from the original p

rice. What was the original price of the novel?
Mathematics
2 answers:
Troyanec [42]3 years ago
8 0

$21.00

let the original price = 100%

then the discount price = 100 - 15 = 85%

divide $17.85 by 85 to obtain 1% then multiply by 100 to obtain original price.

original price = $17.85 × \frac{100}{85} = $21


const2013 [10]3 years ago
8 0

Answer:

The original price of the novel is $ 21.

Step-by-step explanation:

Let x be the original price of the novel,

Discount percentage = 15%,

The amount of discount = 15% of the original price of the novel

= 15% of x

=\frac{15x}{100}

= 0.15x

Thus, the price of the book after discount = x - 0.15x

= 0.85x

According to the question,

0.85x = 17.85

\implies x = \frac{17.85}{0.85}=21

Hence, the original price of the novel is $ 21.

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Point A has coordinates (3,4). After a translation 4 units left, a reflection across the x-axis, and a translation 2 units down,
jeka94

Answer:

The coordinates of the image of point A are (-1, -6)

Step-by-step explanation:

Let us revise the rule of translation to the left, down, and reflection across the x-axis

  • If the point (x, y) translated horizontally to the left by h units then its image is (x - h, y) ⇒ T (x, y) → (x - h, y)
  • If the point (x, y) translated vertically down by k units then its image is (x, y - k) ⇒ T (x, y) → (x, y - k)
  • If the point (x, y) reflected across the x-axis, then its image is (x, -y), the rule of reflection is rx-axis (x, y) → (x, -y)

∵ The coordinates of point A are (3, 4)

∵ It is translated 4 units left

∴ h = 4

→ By using the 1st rule above

∴ Its image is (3 - 4, 4)

∴ Its image is (-1, 4)

∵ Its is reflected across the x-axis

→ By using the 3rd rule above change the sign of its y-coordinate

∴ The new image is (-1, -4)

∵ It is translated 2 units down

∴ k = 2

→ By using the 2nd rule above

∴ The final image is (-1, -4 - 2)

∴ The final image is (-1, -6)

∴ The coordinates of the image of point A are (-1, -6).

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3 years ago
What is the slope of this line
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4/5

Step-by-step explanation:

use rise over run up 4 over 5!!!

8 0
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Roman art differed slightly from the Greek style because it included __________ on sculpted and painted faces. A. beards B. eyeb
sineoko [7]

A Beards, Beards where a fashion choice back then, just like how wemon had black teeth and white painted faces!

4 0
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Orlov [11]

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None of the options is correct

Step-by-step explanation:

It is important to know that he expression a < x < b means that x is greater than a and less than b. So, for finding the correct value let's analyse each option.

A. 4 < 50 < 5

50 is greater than 4 but it is not less than 5, so, option A is incorrect.

B. 7 < 50 < 8

50 is greater than 7 but it is not less than 8, so, option B is incorrect.

C. 8 < 50 < 9

50 is greater than 8 but it is not less than 9, so, option C is incorrect.

D. 10 < 50 < 11

50 is greater than 10 but it is not less than 11, so, option D is incorrect.

Thus, none of the options is correct.

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3 years ago
Given the equation y = 2 x - 8, what is the slope and the y -intercept?
jeka94

Answer:

m=2 and b=-8

Step-by-step explanation:

This equation is organized in slope-intercept form, y=mx+b. In this form, m is the slope and b is the y-intercept.

When given the equation, y=2x-8, we can see that 2 is in the place of m and -8 is in the place of b. The reason the y-intercept isn't 8 is that y=2x-8 can be written as y=2x+(-8) since y=mx+b involves addition. Therefore, the slope is 2 and the y-intercept is -8.

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I hope this helps!

4 0
3 years ago
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