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gizmo_the_mogwai [7]
3 years ago
10

F. Please answer this as soon as possible.

Mathematics
2 answers:
Liono4ka [1.6K]3 years ago
7 0

Answer:

-12

Step-by-step explanation:

Convert the mixed number to an improper fraction.

-2\frac{2}{3} = -\frac{8}{3}

To divide, just multiply by the reciprocal.

So -2\frac{2}{3} ÷ \frac{2}{9} becomes -\frac{8}{3} ÷

Now you can multiply straight across.

-\frac{8}{3} × \frac{9}{2} = -\frac{72}{6}

And simplify.

-\frac{72}{6} = -12

Please mark as Brainliest! :)

iris [78.8K]3 years ago
5 0

(-2\frac{2}{3})/\frac{2}{9}\\, convert -2&2/3 to improper fraction. Use this rule: a&b/c=ac+b/c.

-\frac{2*3+2}{3} /\frac{2}{9}\\\\-\frac{8}{3} /\frac{2}{9} \\

Use this rule: a÷b/c=a*c/b

-\frac{8}{3}* \frac{9}{2}

Use this rule: a/b*c/d=ac/bd

-\frac{8*9}{3*2} \\\\-\frac{72}{3*2} \\\\-\frac{72}{6}=-12

Hope this helps, HAVE A BLESSED AND WONDERFUL DAY! As well as a great Superbowl Weekend! :-)

- Cutiepatutie ☺❀❤

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The perimeter of a rectangle is 60. The length is twice the width. Find the length and width.
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Step-by-step explanation: Our first task in this problem is to setup variables representing <em>length</em> and <em>width</em> and we do that by using the second sentence.

<em><u>The length is twice the width</u></em>

So if we call our width <em>x</em>, that means that our length is 2 times <em>x</em> or 2x

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Length of the rectangle ⇒ <em>2x</em>

Before moving on, go ahead and draw a picture of your

rectangle so that you can visualize what's going on.

I have done this for you below.

We label our widths <em>x</em> and our lengths <em>2x</em>.

Now we can use the first sentence to setup our equation.

The perimeter of a rectangle is the distance

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So if our perimeter is 60, that means that x + x + 2x + 2x = 60.

Simplifying by combining like terms, we get 6x = 60.

Now dividing both sides by 6, we find that <em>x = 10</em>.

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8 0
3 years ago
Please help and explain how you got the answer I'm really bad at these
irina1246 [14]
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Find g(1) if g(x) = x 2 + 1.
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A rectangular Corn Hole area at the Recreation Center has a width of 5 feet and a length of 10 feet. If
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Answer:

2 feet

Step-by-step explanation:

Let

x ----> the uniform amount added to each side

we know that

The algebraic expression that represent this situation is

(5+x)(10+x)=84

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50+ 5x+10x+x^2=84\\x^2+15x-34=0

solve the quadratic c equation

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

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x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

x^2+15x-34=0  

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a=1\\b=15\\c=-34

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x=\frac{-15\pm\sqrt{15^{2}-4(1)(-34)}} {2(1)}

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8 0
3 years ago
Drag and drop the constant of proportionality into the box to match the table. If the table is not proportional, drag and drop "
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The table is proportional and the constant of proportionality is 1.5

Step-by-step explanation:

Proportional relationships are relationships between two variables

where their ratios are equivalent

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The table:

→ x  :  0  :  2  :  4  :  6

→ y  :  0  :  3  :  6  :  9

To prove that y ∝ x find the ratio between each value of y with corresponding value of x

∵ \frac{3}{2}=1.5

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∵ \frac{9}{6}=1.5

∴ \frac{y}{x}=k

∴ k = 1.5

∵ The origin point is in the table

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∴ The table is proportional

The table is proportional and the constant of proportionality is 1.5

Learn more:

You can learn more about proportional in brainly.com/question/10708697

#LearnwithBrainly

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