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Annette [7]
2 years ago
14

Create and answer your

Mathematics
2 answers:
shutvik [7]2 years ago
7 0

Step-by-step explanation:

\frac{20}{48}  \times  \frac{80}{44}

Divide the fraction with 4

\frac{20÷4}{48÷4} \times \frac{80÷4}{44÷4} = \frac{5}{12}  \times  \frac{20}{11}

Reduce the number with factor 4

\frac{5}{12÷4} \times \frac{20÷4}{11} = \frac{5}{3}   \times  \frac{5}{11}

Multiply the fractions

\frac{5 \times 5}{3 \times 11}  =  \frac{25}{33}

\boxed{\green{=  \frac{25}{33}  = 0.75}}

Stels [109]2 years ago
4 0

Answer:

\tt{} \frac{25}{33}

Step-by-step explanation:

\tt{} \frac{20}{48}  \times  \frac{80}{44}

\tt{}\frac{5}{12}  \times  \frac{20}{11}

\tt{} \frac{5}{3}  \times  \frac{5}{11}

\tt{} \frac{5 \times 5}{3 \times 11}

\tt{} \frac{25}{33}  \\  \\  \\

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What kind of triangle is this? 17 17 17
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Equilateral triangle. because all sides are equal.

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Read 2 more answers
Simplify LaTeX: \Large\frac{-4^{6} \cdot 4^{2}}{4^{4}}
Oksanka [162]

⇨ The value of this <u>simplified expression</u> = -4096/1 or -4096.

<h3>   </h3>
  • To solve this expression, just multiply the power base by how many times indicate the exponent, and then divide the numerator and denominator of the fraction by the same number.

Power or potentiation is a multiplication in equal factors, where there are <em>terms responsible</em> for obtaining the final result. An potency is given by \large \sf a^{n}. The terms of a power are:

<h3>     </h3>
  • Base
  • Exponent
  • equal factors
  • power
<h3>         </h3>

✏️ <u>Resolution/Answer</u>:

\\ \large \sf \dfrac{-4^{6} \cdot 4^{2}}{4^{4}}=\\\\

  • Multiply the powers of the numbers at numerator of the fraction, with the base <em>being multiplied by how many times</em> to indicate the exponent.

\\\large \sf \dfrac{-4^{6} \cdot 4^{2}}{4^{4}}=

\large \sf \dfrac{-4\cdot4\cdot4\cdot4\cdot4\cdot4\cdot 4^{2}}{4^{4}}=

\large \sf \dfrac{-4\cdot4\cdot4\cdot4\cdot16\cdot 4^{2}}{4^{4}}=

\large \sf \dfrac{-4\cdot4\cdot16\cdot16\cdot 4^{2}}{4^{4}}=

\large \sf \dfrac{-16\cdot16\cdot16\cdot 4^{2}}{4^{4}}=

\large \sf \dfrac{-16\cdot16\cdot16\cdot 4\cdot4}{4^{4}}=

\large \sf \dfrac{-16\cdot16\cdot16\cdot 16}{4^{4}}=\\\\

  • <em>Multiply </em>the power at denominator of the fraction:

\\\large \sf \dfrac{-16\cdot16\cdot16\cdot 16}{4^{4}}=

\large \sf \dfrac{-16\cdot16\cdot16\cdot 16}{4\cdot4}=

\large \sf \dfrac{-16\cdot16\cdot16\cdot 16}{16}=\\\\

  • <em>Multiply </em>the numerator numbers together:

\\\large \sf \dfrac{-16\cdot16\cdot16\cdot 16}{16}=

\large \sf \dfrac{-16\cdot16\cdot 256     }{16}=

\large \sf \dfrac{-256\cdot 256     }{16}=

\large \sf \dfrac{- 65536  }{16}=\\\\

  • Simplify the fraction by number 16:

\\\large \sf \dfrac{- 65536  }{16}=

\large \sf \dfrac{- 65536  \div16}{16\div16}=

{\orange{\boxed{\boxed{\pink {\large \displaystyle \sf { \frac{-4096}{1}  \ or \ -4096 }}}}}} \\\\\\

  • So this expression in its simplified form = -4096/1 or -4096.

{\orange{\boxed{\boxed{\pink {\large \displaystyle \sf { \frac{-4096}{1}  \ or \ -4096 }}}}}}\\\\

                                 ★ Hope this helps! ❤️

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It has turned about 150 degrees going from 2-9 counter clockwise on a clock.
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U is the set of colleges in a country. A is the set of colleges that have a hockey team. B is the set of colleges that have a ph
mojhsa [17]

Answer: C

Step-by-step explanation: If B is the set of colleges that have a physics department.  

B’ is the set of colleges that do not have a physics department.  

U is the union, so we are going to put every element from A and B' together. It can be translated as OR.  

A U B’ is the set of elements in a country that have a hockey team (A) or do not have a physics department (B’) .

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