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Agata [3.3K]
2 years ago
6

12 quarts of soil are used to completely fill 5 flower pots. If each pot holds the same amount of soil, how many quarts will eac

h pot hold? as a mixed number as a mixed
Mathematics
1 answer:
Oksanka [162]2 years ago
4 0

Answer:

2.4 or 12/5 or 2 2/5

Step-by-step explanation:

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En un trabajo manual de una escuela secundaria se necesitan pedazos alambron de 10,12,16,20 cm de largo, sin que sobre ni falte
zhenek [66]
Hola! No se si buscaste antes por aquí pero ya hay una respuesta anterior a esta pregunta y es la opción D
7 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 <em>Difference\Sum of Cubes</em>, SOAP can vary depending on how an expression is given to you. They resemble each other though.

6 0
2 years ago
Last night, the temperature fell from 0°F to –131 5 in 42 5 hours. What was the average temperature change per hour? Solve the d
Tcecarenko [31]

Answer:

-3.09 per hour

Step-by-step explanation:

if you mean that it went down from 0° to -131.5° in 42.5 hours, divide -131.5 by 42.5 (-131.5/42.5) which gives 3.09

6 0
2 years ago
Read 2 more answers
Plsss help me thanks :D
RSB [31]

Answer:

y

Step-by-step explanation:

First you would find y because two or more of the numbers have it. Then you would be able to solve for x

7 0
2 years ago
Which is a quantitative variable?
Neporo4naja [7]

Answer:

B

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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