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Dimas [21]
3 years ago
8

2. Suppose you pay $21 for a pair of shoes that was originally $30. What was the percent of decrease in price for the shoes? Set

up an equation, arrive at your answer, and check your work. Then clearly state your answer
Mathematics
1 answer:
boyakko [2]3 years ago
8 0
30$ originally - 21$ paid = 9$ discount

> divide the discount by the original price, multiply by 100 to get the percent decrease.

100 x (9$ / 30$) = 30% discount
> So the shoes where on sale for 30% off the original price.

for the equation:
100 x (30-21)/30 = % decrease
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(5/2,0) and(-4,0)

Step-by-step explanation:

I hope this helps.

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A number sentence is shown below: 45 1/3 / 1/6 272 Part A: Create a story or context for this number sentence. (4 points) Part B
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Which equation represents the equation of the parabola with focus (-3 3) and directrix y=7?
Artemon [7]

Answer:

The equation y=\frac{-x^2-6x+31}{8} represents the equation of the parabola with focus (-3, 3) and directrix y = 7.

Step-by-step explanation:

To find the equation of the parabola with focus (-3, 3) and directrix y = 7. We start by assuming a general point on the parabola (x, y).

Using the distance formula d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }, we find that the distance between (x, y) is

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and the distance between (x, y) and the directrix y = 7 is

\sqrt{(y-7)^2}.

On the parabola, these distances are equal so, we solve for y:

\sqrt{(x+3)^2+(y-3)^2}=\sqrt{(y-7)^2}\\\\\left(\sqrt{\left(x+3\right)^2+\left(y-3\right)^2}\right)^2=\left(\sqrt{\left(y-7\right)^2}\right)^2\\\\x^2+6x+y^2+18-6y=\left(y-7\right)^2\\\\x^2+6x+y^2+18-6y=y^2-14y+49\\\\y=\frac{-x^2-6x+31}{8}

6 0
3 years ago
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Step-by-step explanation:

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7 0
3 years ago
Read 2 more answers
6 - 2y + (-8y) + 5.1 = 0<br> (Simplify your answer. Use integers
Nadusha1986 [10]

Answer:

Simplified answer = 11.1 - 10y = 0

y = 1.11

Step-by-step explanation:

6 - 2y + (-8y) + 5.1 = 0

6 + 5.1 -2y -8y = 0

Add like terms

11.1 - 10y = 0

(This is simplified, but if you want to solve for y, continue)

11.1 - 10y = 0

÷10  ÷10

1.11 - y = 0

y = 1.11 because 1.11 - 1.11 is 0

I Hope That This Helps!

8 0
3 years ago
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