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3 years ago

A sofa regularly sells for 600. The sale price is 480.00. Find the percent decrease of the sale price from the regular price.

Mathematics

1 answer:

Lady_Fox [76]3 years ago

4 0

Answer:

-20%

Step-by-step explanation:

Regular price = $600

Current sale price = $480

To find the percentage decrease in this case, use percentage change formula;

Percentage change = $\frac{Current price - Regular price}{Regular price}$ *100

Next, plug in the numbers into the formula ;

Percentage change = $\frac{(480 -600)}{600}*100 \\ \\ =\frac{-120}{600} *100\\ \\ =-0.2*100\\ \\ =-20%$

Therefore, the percentage decrease is -20%

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Answer:

Distance between point $(3,4)$ and midpoint of line joining $(8,10)$ and $(4,6)$ = $5$ units.

Step-by-step explanation:

Given:

Points:

$A(3,4)\\B(8,10)\\C(4,6)$

To find distance from point A to midpoint of BC.

Midpoint M of BC:

$M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\$

$M=(\frac{8+4}{2},\frac{10+6}{2})\\$ [Plugging in points $B(8,10)\ and\ C(4,6)$ ]

$M=(\frac{12}{2},\frac{16}{2})\\$

$M=(6,8)\\$

Distance between A and M:

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\$

$D=\sqrt{(6-3)^2+(8-4)^2} \\$ [Plugging in points $A(3,4)\ and\ M(6,8)$ ]

$D=\sqrt{(3)^2+(4)^2} \\$

$D=\sqrt{9+16} \\$

$D=\sqrt{25} \\$

$D=\pm5$

Since distance is always positive ∴ $D= 5$ units

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Answer:

Step-by-step explanation:

xy = 300

x + y = 50 Solve for y

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0 = x^2 - 50x + 300

This is a quadratic. It will have 2 solutions.

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