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3 years ago

A sweater is on sale for 20%

1 answer:

8 0

$72 To find out how much the sweater is without 20% off, you need to do this formula:

$60 x 20%

The answer is $12.

So, 20% of $60 is $12.

Now, you need to add 60 and 12 together to get the original sale price.

60 + 12

The answer is 72.

So the original price for the sweater is 72 dollars.

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The coordinates of point A are (p, q) and coordinates of point B are (p+2q, q+2p). Provide your complete solutions and proofs in

Dafna1 [17]

Answer:

The mid-point (p + q , q + p) of AB is the same distance from the x-axis and the y-axis

Step-by-step explanation:

* Lets explain how to solve the problem

- Any point will be equidistant from the x-axis and the y-axis must have

equal coordinates

- Ex: point (4 , 4) is the same distance from the x-axis and the y-axis

because the distance from the x-axis to the point is 4 (y-coordinate)

and the distance from the y-axis and the point is 4 (x-coordinate)

- If (x , y) is the mid-point of a segment its endpoints are

$(x_{1},y_{1})$ and $(x_{2},y_{2})$ , then

$x=\frac{x_{1}+x_{2}}{2}$ and $y=\frac{y_{1}+y_{2}}{2}$

* Lets solve the problem

∵ Point A has coordinates (p , q)

∵ Point B has coordinates (p + 2q , q + 2p)

- The mid-point of AB is (x , y)

∵ $x=\frac{p+p+2q}{2}$

∴ $x=\frac{2p+2q}{2}$

- Take 2 as a common factor from the terms of the numerator

∴ $x=\frac{2(p+q)}{2}$

- Divide up and down by 2

∴ x = p + q

∵ $y=\frac{q+q+2p}{2}$

∴ $y=\frac{2q+2p}{2}$

- Take 2 as a common factor from the terms of the numerator

∴ $y=\frac{2(q+p)}{2}$

- Divide up and down by 2

∴ y = q + p

∴ The mid point of AB is (p + q , q + p)

- p + q is the same with q + p

∵ The x-coordinate of the mid point of AB is p + q

∵ The y-coordinate of the mid point of AB is q + p

∵ p + q = q + p

∴ The coordinates of the mid-point of AB are equal

- According the explanation above

∴ The mid-point (p + q , q + p) of AB is the same distance from the

x-axis and the y-axis

8 0

3 years ago

Patrick earns $20 dollars for every lawn ge mows. write an equation used to find t the total amount of money he hearts from mowi

Kisachek [45]

Answer:

t=20n

Step-by-step explanation:

The answer would be t=20n or something similar because 20n stands for $20 per lawn, which equals t, the total.

3 0

3 years ago

What is the measure of DE? 16 12 20 10

AnnyKZ [126]

set up a ratio to find the length:

15/12 = DE/16

cross multiply the 15 & 16:
15 * 16 = 240

divide that by 12 to get DE

240 / 12 = 20

DE = 20

8 0

3 years ago

Which is the equation of OB?

GrogVix [38]

The answer is b I hope this helps

6 0

3 years ago

Please please help me again, I really need help and thank you.

ipn [44]

Answer:

Perimeter of Compound Shapes: Composite Rectangles. Perimeter is the total distance around the outside of a shape. horizontal. sides must be the same length in total as the one longer red side.

Step-by-step explanation:Also not sure...Hope this kinda helps...

5 0

2 years ago