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2 years ago

Original Price Percent of Discount Sale Price $ 5% $57

Mathematics

1 answer:

dalvyx [7]2 years ago

8 0

Answer:

Discount:

$2.85

final price

$54.15

Step-by-step explanation:

Discount = Original Price x Discount %/100

Discount = 57 × 5/100

Discount = 57 x 0.05

You save = $2.85

Final Price = Original Price - Discount

Final Price = 57 - 2.85

Final Price = $54.15

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What is the equation of the circle whose diameter has endpoints (8,-2) and (-2,6)?

klemol [59]

Answer:

$(x-3)^{2} +(y-2)^{2}=41$

Step-by-step explanation:

step 1

Find the diameter of the circle

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

$A(8,-2)\\E(-2,6)$

substitute the values

$d=\sqrt{(6+2)^{2}+(-2-8)^{2}}$

$d=\sqrt{(8)^{2}+(-10)^{2}}$

$d=\sqrt{164}\ units$

$d=2\sqrt{41}\ units$

step 2

Find the center of the circle

The center is the midpoint of the diameter

The center is equal to

$C=(\frac{8-2}{2},\frac{-2+6}{2})$

$C=(3,2)$

step 3

Find the equation of the circle

The equation of the circle in center radius form is equal to

$(x-h)^{2} +(y-k)^{2}=r^{2}$

we have

(h,k)=(3,2)

$r=2\sqrt{41}/2=\sqrt{41}\ units$ ---> the radius is half the diameter

substitute

$(x-3)^{2} +(y-2)^{2}=(\sqrt{41})^{2}$

$(x-3)^{2} +(y-2)^{2}=41$

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3 years ago

At a certain clothing store, all shirts are on sale for the same price. Mr.Chan bought 6 shirts and paid a total of $62.99, incl

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You would subtract the tax first which 62.99-2.99=60$. Then you would divide the $60 left by 6 and 60 divided by 6 equals 10 so each shirt costs $10.

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monitta

Answer:

x=10

y=-2

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Step-by-step explanation:

If X=10, we can put 10 in for x in the equation.

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We will get y on its own so we subtract 30 from 20 to get

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We then know that 5 goes into -10 -2 times.

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Answer:

Step-by-step explanation:

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