Practice Add and Subtract Rationals - Quiz - Level G
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• What is the sum? Complete the equation

[tex] \frac{3 + \sqrt{6} }{ \sqrt{6} } = ... \\ = \frac{3 + \sqrt{6} }{ \sqrt{6} } \times \frac{ \sqrt{6} }{ \sqrt{6} } = \frac{3 + ( \sqrt{6} \sqrt{6} ) }{6} \\ = \frac{3 + ( \sqrt{6} {}^{2}) }{6} = \frac{3 + 6}{6} \\ = \frac{9}{6} = \bold{1\frac{1}{2}} [/tex]

Answer:

[tex]\frac{\sqrt6 + 2}{2}[/tex]

Step-by-step explanation:

Hello!

To rationalize the denominator, we want the denominator to be rid of any square root operations.

To do that we have to multiply the whole fraction by the value of the denominator, or multiply it by a Giant 1.

Rationalize:

Simplify:

Final expression: [tex]\frac{\sqrt6 + 2}{2}[/tex]

_______________________________________________________

A giant one is another term for a fraction that simplifies to 1. To simplify to

one, the fraction's numerator and denominator have to be the same. We

multiplied our expression by √6/√6, which doesn't change the value of the

original expression because we are technically multiplying by 1.

Answer:

27/3=9

Step-by-step explanation:

9 books per day

Answer: 9 books per day

Step-by-step explanation:

27 books / 3 days = 9 books per day

Answer:

The slope is undefined!!but DONTTTT trust my answer if you are in exam or test

Answer:

(x+4)(x+8)

Step-by-step explanation:

Factor x²+12x+32 using the AC method.

Answer:

7 1/2

Step-by-step explanation:

So, we have the problem 4 1/2 x 1 2/3.

Lets convert both of these mixed fractions into improper fraction, because it would be much easier to multiply.

4 1/2= 9/2 as an improper fraction

1 2/3= 5/3 as an improper fraction

Now, lets multiply!

9/2 x 5/3

Lets multiply the numerators first.

9 x 5 is 45

Now, the denominators.

2 x 3 is 6

So, 9/2 and 5/3 is 45/6

Lets convert 45/6 into its mixed fraction form

45/6 as a mixed fraction would be 7 1/2

Hope this helped :)

Step-by-step explanation:

If there foots are equal, we can get

[tex]x = \frac{360}{6} \\ x = 60[/tex]

Answer:

Strong Correlation

Step-by-step explanation:

If the numbers of the sales are matched in order with the temp., this is a strong correlation. I'm assuming the question is asking you to prove the correlation between the change in temperature, and the change in hot chocolate sales.

If you match the numbers, you'll see that when its colder outside, hot chocolate sales go up. When it's hot out side, sales go down. This is a strong, inverse correlation.

Then again, if these numbers are out of order in any way, my entire answer goes down the drain. Make sure all information is included in your question, including pictures :)

Answer:

f(-1)=3

Step-by-step explanation:

If you look along the x axis and find the number -1, the line intersects that point at three.

Answer:

Step-by-step explanation:

g[1] = -7

Answer:

-4/9 IS a solution

Step-by-step explanation:

-2/3 = -6/9

-4/9 is greater than -6/9

Therefor -4/9 IS a solution to the inequality

Find the total he spent and subtract that from 100:

12.50 x 4 = 50

50 + 4.75 = $54.75 total spent

100-54.75 = $45.25 change

given,

measure of sides of the square = 12 cm

we know, diagonal

d = a√2

now,

d = 12√2

d = 16.970

a/q we have to round the answer to the nearest centimetres

so,

it is 17 cm

hope this answer helps you dear! take care!

Answer:

(xy - 1)(7 - z

Step-by-step explanation:

z - 7 + 7 x y – x y z

= 7xy - xyz - 7 + z          Factor by grouping:-

= x y(7 - z) -1(7 - z)

= (xy - 1)(7 - z).

Answer:

4.50 + 1.50 = 6 times 5 = 30.  , 4.5 + 1.5x = 30.00

Step-by-step explanation:

Answer:

A number k is less than or equal to 10

Answer:

8 pack.

Step-by-step explanation:

For the 4 pack, price per roll =  2.04 / 4  =  £0.51

For the 8 pack, price per roll =  3.68 / 8  =  £0.46.

Step-by-step explanation:

For x = 2,6

[tex] = 3{x}^{0} [/tex]

[tex] = 3 \times {2,6}^{0} [/tex]

[tex] = 3 \times1 [/tex]

[tex] = 3 [/tex]

[tex] \: [/tex]

For a = -3 and b = -8

[tex] = 10 \times {a}^{2} \times {b}^{0} [/tex]

[tex] = 10 \times {( - 3)}^{2} \times {( - 8)}^{0} [/tex]

[tex] = 10 \times 9 \times 1[/tex]

[tex] = 90[/tex]

Answer:

 y =  m x  +  b . y  = −2 x −  9

Step-by-step explanation:

hope this helps :p

Answer:

8 minutes

Step-by-step explanation:

You mutliply 3 by six then subtract ten

Answer:

10093254152

Step-by-step explanation:

yk

Answer:

Multiply all sides

NOT DONE YET...

When  you get it Divide it by the y-intercept

thats when youll get the answer

Step-by-step explanation:

Enjoy, Hope i get what i was promised :D

Refer to the attachment as I am unable to add the answer

Answer:

True option is B. AA' = BB'

Step-by-step explanation:

Because,

Point A translated into Point A'

Point B translated into Point B'

Sorry if there's wrong :)

Answer:

A regular pentagon

Step-by-step explanation:

A pentagon has 5 sides. There are 5 tick marks.

The answer polygon is a Hexagon.

A hexagon is a six-sided polygon. Hexagon has some special properties when we are talking about inscribed polygons.

Two vertices of the hexagon lie on the corners of the diameter of the circumscribing circle.

Given that, Stella is using her compass and straightedge to complete the construction of a polygon inscribed in a circle.

We are asked which polygon is she in the process of constructing.

Since, there are 6 marks on the circle, which is one of the step for constructing a hexagon.

So, We can say that she is constructing a regular hexagon inside the circle.

For more references on hexagon, click;

https://brainly.com/question/3295271

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