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3 years ago

Seven friends shared 3 cups of popcorn. How much popcorn did each friend get?

Mathematics

1 answer:

LenKa [72]3 years ago

4 0

Answer: Each friend would receive 42% of a cup.

Step-by-step explanation:

3 divided by 7

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Write the equation in standard form. Identity the center and radius.<br> x² + y2 + 8x-4y-7=0

lorasvet [3.4K]

Answer:

equation;

$(x + 4) {}^{2} + (y - 2) {}^{2} = 27$

Center (-4,2)

Radius is

$3 \sqrt{3}$

Step-by-step explanation:

Since the x^2 and y^2 have the same coeffiecent this will be a circle in a form of

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

Where (h,k) is center

r is the radius

So first we group like Terms together

${x}^{2} + 8x + {y}^{2} - 4y - 7 = 0$

Add 7 to both sides

${x}^{2} + 8x + {y}^{2} - 4y = 7$

$( {x}^{2} + 8x) +( {y}^{2} - 4y) = 7$

Since the orginal form of the equation of the circle has a perfect square we need to complete the square for each problem

$(\frac{8}{2} ) {}^{2} = 16$

and

$( - \frac{4}{2} ) {}^{2} = 4$

so we have

${x}^{2} + 8x + 16 + {y}^{2} - 4y + 4y = 7 + 16 + 4$

${x}^{2} + 8x + 16 + {y}^{2} - 4y + 4y = 27$

$(x + 4) {}^{2} + (y - 2) {}^{2} = 27$

To find our center, h is -4 and k is 2

so the center is (-4,2)

The radius is

$\sqrt{27} = 3 \sqrt{3}$

So the radius is 3 times sqr root of 3.

8 0

3 years ago

I really need the answer to this

bezimeni [28]

Answer:

$350

Step-by-step explanation:

9550-9200=350

7 0

3 years ago

Can someone plz help me?

ivann1987 [24]

Answer: The correct answer is Choice C.

Step-by-step explanation: In order to solve this problem you need to look at the equation’s parts.

The first part is multiplying 5 by the contents of the parenthesis. So, 5(2x-2) equals 10x - 10. Now, but the equation together and simplify it:

10x - 10 + 10x =

20x - 10

3 0

3 years ago

What is the value of the square of i?

BlackZzzverrR [31]

I^2 = (sqrt-1)^2 then the square cancels out so the answer is just

-1

3 0

3 years ago

28.Neethi had 8

Ludmilka [50]

Answer:

2 1/3 cupcakes

Step-by-step explanation:

A cupcake can make 3 four cups of flour

In 8 fourteen cups of flour, require (14 X 4)/(3 X 8) of cupcakes

= 56/24 = 2 1/3 cupcakes

5 0

3 years ago