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2 years ago

Divide a salad with six friends, 1/3 is missing, how much does each person get?

1 answer:

4 0

Each friend gets 1/9. If you have 1 salad and 1/3 is missing that leaves you with 2/3, you have 6 friends and I am assuming they each get an equal amount so 2/3 equals 4/6, 4/6 equals 6/9, there are 6 people, they each get 1/9.

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14. How many ways can 4 students sit in a row of 19 chairs for a photograph?

olga_2 [115]

Answer:

they can each sit on floor by lining equally some can move back for example the shortest ones can sit medium tall can stand and the largest people can stand in the very back

8 0

2 years ago

What is the median of the lengths of Kate's workout

Alik [6]

Arranging them in ascending order :
21 , 21 , 30 , 44, 49, 52

Median = (30 + 44) ÷ 2
Median = 37 mins

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Answer: Median = 37 mins (Answer D)
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3 years ago

Which of the following is a defined term? Angle Line Point Plane

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2 years ago

Read 2 more answers

the sum of age of mabel and fred is 38 years,four years ago the age of mabel was the square of Fred age.Find their ages

Andrej [43]

m+f=38

(f-4)^2=m-4

f^2=m IF their age is 30 combined

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Fred is 4, Mabel is 16.

8 0

2 years ago

Polynomial expressions with matching

yuradex [85]

Answer:

The difference of 27x³ and 8y³ → [3x - 2y][9x² + 6xy + 4y²]

The difference of 27x³ and 64y³ → [3x - 4y][9x² + 12xy + 16y²]

The sum of 27x³ and 64y³ → [3x + 4y][9x² - 12xy + 16y²]

The sum of 27x³ and 8y³ → [3x + 2y][9x² - 6xy + 4y²]

Step-by-step explanation:

For the first two, we use the Difference of Cubes [(a³ - b³)(a² + 2ab + b²)] first by taking the cube root of the given expression to get our first factor[s]:

$\displaystyle 3x - 2y = \sqrt[3]{27x^3 - 8y^3} \\ 3x - 4y = \sqrt[3]{27x^3 - 64y^3}$

Then, use the acronym of SOAP {whether the next operations symbols will be negative or positive [SAME (your cube-rooted factor has an IDENTICAL OPERATION SYMBOL as your given expression), OPPOSITE (the first sign in your second factor in the second set of parentheses will be the opposite of what the sign in your given expression, which will be a plus sign), ALWAYS POSITIVE (the last sign in your second factor in the second set of parentheses will ALWAYS stay positive NO MATTER WHAT)]} to get the second factor:

Given: 27x³ - 64y³

[3x - 4y][9x² + 12xy + 16y²]

↑ ↑ ↑

same as opposite ALWAYS POSITIVE

given of given

Given: 27x³ - 8y³

[3x - 2y][9x² + 6xy + 4y²]

↑ ↑ ↘

same as opposite ALWAYS POSITIVE

given of given

Now, for the last two, we use the Sum of Cubes [(a³ + b³)(a² - 2ab + b²)] first by taking the cube root of the given expression to get our first factor[s]:

$\displaystyle 3x + 2y = \sqrt[3]{27x^3 + 8y^3} \\ 3x + 4y = \sqrt[3]{27x^3 + 64y^3}$

Then, use the acronym of SOAP {whether the next operations symbols will be negative or positive [SAME (your cube-rooted factor has an IDENTICAL OPERATION SYMBOL as your given expression), OPPOSITE (the first sign in your second factor in the second set of parentheses will be the opposite of what the sign is in your given expression, which will be a minus sign), ALWAYS POSITIVE (the last sign in your second factor in the second set of parentheses will ALWAYS stay positive NO MATTER WHAT)]} to get the second factor:

Given: 27x³ + 64y³

[3x + 4y][9x² - 12xy + 16y²]

↑ ↑ ↘

same as opposite ALWAYS POSITIVE

given of given

Given: 27x³ + 8y³

[3x + 2y][9x² - 6xy + 4y²]

↑ ↑ ↘

same as opposite ALWAYS POSITIVE

given of given

I am delighted to assist you anytime!

* As you can see, when using the Difference\Sum of Cubes, SOAP can vary depending on how an expression is given to you. They resemble each other though.

6 0

2 years ago