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Vikki [24]
2 years ago
5

The original price is $125. The sale price is $81.25. How much was the discount as a percent?

Mathematics
2 answers:
Annette [7]2 years ago
8 0

Answer:

Discount Percent = 35.00 %

Step-by-step explanation:

125-81.25=43.75 actual discount

43.75/125 = 0.35 actual discount / original

0.35 as percentage = 35%  

Westkost [7]2 years ago
6 0

Answer: 35%

Step-by-step explanation:

Start by subtracting the original price by the sale price.

125-81.25=43.75

Now divide that amount by the original price.

\frac{43.75}{125} =0.35

Multiply that value by 100 for the answer

0.35×100=35

35%

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A craft store sells boxes of two different varieties of colored pencils. The table shows the number of boxes sold last month. Wh
vlada-n [284]

Answer:

So the answer is 108.75

Step-by-step explanation:

15 * $4.25 = 63.75

12*  $3.75 = 45

63.75 + 45 = 108.75.

Answer:108.75

8 0
3 years ago
The coordinates of polygon ABCD are A(-4,-1), B(-2,3), C(2,2), and D(4,-3). Use these coordinates to complete the sentences belo
oee [108]

Answer:

The perimeter of polygon ABCD, to the nearest thousandth units is

22.227 units

The perimeter of polygon ABCD', to the nearest thousandth, would be 20.980 units

The area of polygon ABCD' is 19.5 units²

Step-by-step explanation:

The coordinates forming the polygon are

A (-4,-1), B(-2,3), C(2,2), and D(4,-3)

The perimeter then is given by the sum of the length of the sides as follows;

Length of line between two X and Y points distance, xi and yj apart is

length XY =  \sqrt{x^2+y^2}

Therefore, the length between points AB is

length AB = \sqrt{(-4 - (-2))^2+(-1-3)^2}

= \sqrt{(-4 +2)^2+(-4)^2} = \sqrt{-2^2+-4^2}  = \sqrt{20}  = 4.472 units

Similarly, length BC is given by

Length BC =  \sqrt{(-4)^2+1^2} =  \sqrt{17} = 4.123 units

Length CD = \sqrt{(-2)^2+5^2} =  \sqrt{29} = 5.385 units

Length DA = \sqrt{(8)^2+(-2)^2} =  \sqrt{68} = 8.246 units

The perimeter is equal to;

length AB + Length BC + Length CD + Length DA

= 4.472 + 4.123 + 5.385 + 8.246 = 22.227 units

If the point D is moved up 2 units and left 1 unit we have

D' = x-1, y+2 where x and y are the coordinates of point D

D(4, -3) → D'((4-1), (-3+2)) = D'(3, -1)

The length D'A =  \sqrt{(7)^2+(0)^2} =  \sqrt{49} =7 units

The perimeter of polygon ABCD'

length AB + Length BC + Length CD + Length D'A

= 4.472 + 4.123 + 5.385 + 7 = 20.980 units.

The area is given by the determinant of the 3 by 3 matrix using Cramer's Rule as follows

 S_{\bigtriangleup} = (\frac{1}{2})|x_1y_2+x_2y_3+x_3y_1-x_1y_3-x_2y_1-x_3y_2|

= (\frac{1}{2})|x_1(y_2-y_3)+x_2(y_3-y_1) +x_3(y_1-y_2)|

Triangle ABC we have

A(-4,-1)

B(-2,3)

C(2,2)

S_{{\bigtriangleup}ABC} = (\frac{1}{2})|x_1(y_2-y_3)+x_2(y_3-y_1) +x_3(y_1-y_2)|

=(\frac{1}{2})|(-4)(3-2)+(-2)(2-(-1)) +2((-1)-3)|

= =(\frac{1}{2})|-4-6 -8|= 9 units^2

Triangle ACD'

A(-4,-1)

C(2,2)

D'(3, -1)

S_{{\bigtriangleup}ACD'} = (\frac{1}{2})|x_1(y_2-y_3)+x_2(y_3-y_1) +x_3(y_1-y_2)|

=(\frac{1}{2})|(-4)(2+1)+(2)(-1+1) +3((-1)-2)| = \frac{21}{2} = 10.5 units²

Area of polygon =   S_{{\bigtriangleup}ABCD'} = S_{{\bigtriangleup}ABC} + S_{{\bigtriangleup}ACD'} = (9 + 10.5) units²

Area of polygon ABCD' = 19.5 units².

7 0
2 years ago
I NEED HELP
kogti [31]

                       -6  =  y/5 + 4

Step 1:  Subtract  4  from each side of the equation.

Step 2:  Multiply each side by  5.

If you don't arrive at the solution  y= -50 , then return to Step-1
and repeat the process, being on the lookout for your mistake.


4 0
3 years ago
Read 2 more answers
Which inequality is a true statement?
max2010maxim [7]

Answer:

The true answer is " -3 < -1.

Step-by-step explanation:

I say this because these numbers are negatives. If you put them on a number line you can see that the bigger numbers are farther from the postitives. Postitive numbers are bigger so whatever is close to them is bigger. So because (-1) is closer to them it would be greater, which is what the symbol "<' states.

7 0
3 years ago
PLEASE HELP ME WITH THIS MATHS QUESTIONS!!!<br> WILL GIVE BRAINLIEST!!!
vampirchik [111]

Answer:

a) y = (x+2)/3

b) 5

Step-by-step explanation:

f^-1(x) means "f inverse of x". To find the inverse, we simply:

a ) f(x) = 3x -2

    y = 3x - 2 --> because f(x) is the same thing as y

    x = 3y - 2 --> to find the inverse, we simply just switch x and y

    x + 2 = 3y

    y = (x+2)/3

b) f^-1(13)

   f^-1(13) = [((13) + 2)/3]

   f^-1(13) = (15)/3

   f^-1(13) = 5

3 0
3 years ago
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