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2 years ago

Simplify algebraic fraction

Mathematics

1 answer:

Julli [10]2 years ago

3 0

You can get common denominator in the denominator of the original fraction so it would look like:
$\frac{4}{ \frac{1}{4}- \frac{10}{4} } = - \frac{1}{ \frac{9}{4} }$

You can reciprocalize and then multiply:
$4* -\frac{4}{9} = -\frac{16}{9}$

So, your answer is C.

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Arrange smallest to largest 4.4 dam, 0.52 km, 620 cm

AlekseyPX

Answer:

the largest is 620cm the next is 4.4 dam and the smallest is 0.52 km

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3 years ago

Last spring 12 birds ate 8 cups of birdseed in one month. If I am expecting 18 birds this month, how

elena55 [62]

Simplified Ratio: <u>3 : 2</u>

Birds / Cups

6 / 4

9 / 6

12 / 8

15 / 10

18 / 12

You need 12 cups of birdseed if you're expecting 18 birds this month.

7 0

3 years ago

Of the 80 boys polled at lunch, 55% say they play video games daily. According to the poll, how many boys play video games daily

alexdok [17]

$55% = \frac{55}{100} = \frac{11}{20}$

Multiply $\frac{11}{20}$ by 80 and you will get how many boys play video games daily.

$\frac{11}{20}*80=\frac{11}{1}*4=11*4=44$

44 is the number of boys who play video games daily.

8 0

3 years ago

What is the simplified form of this expression?<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B4x3y3%7D%7B8x5y2%7D%20" id="Te

jek_recluse [69]

Answer:

something

Step-by-step explanation:

6 0

3 years ago

hi, i dont undertand number 20 because i was absent in class today and i rerally need help, i will appraciate with the help, and

Mariulka [41]

Given:

The equation is,

$2\log _3x-\log _3(x-2)=2$

Explanation:

Simplify the equation by using logarthimic property.

$\begin{gathered} 2\log _3x-\log _3(x-2)=2 \\ \log _3x^2-\log _3(x-2)=2_{}\text{ \lbrack{}log(a)-log(b) = log(a/b)\rbrack} \\ \log _3\lbrack\frac{x^2}{x-2}\rbrack=2 \end{gathered}$

Simplify further.

$\begin{gathered} \log _3\lbrack\frac{x^2}{x-2}\rbrack=2 \\ \frac{x^2}{x-2}=3^2 \\ x^2=9(x-2) \\ x^2-9x+18=0 \end{gathered}$

Solve the quadratic equation for x.

$\begin{gathered} x^2-6x-3x+18=0 \\ x(x-6)-3(x-6)=0 \\ (x-6)(x-3)=0 \end{gathered}$

From the above equation (x - 6) = 0 or (x - 3) = 0.

For (x - 6) = 0,

$\begin{gathered} x-6=0 \\ x=6 \end{gathered}$

For (x - 3) = 0,

$\begin{gathered} x-3=0 \\ x=3 \end{gathered}$

The values of x from solving the equations are x = 3 and x = 6.

Substitute the values of x in the equation to check answers are valid or not.

For x = 3,

$\begin{gathered} 2\log _3(3^{})-\log _3(3-2)=2 \\ 2\log _33-\log _31=2 \\ 2\cdot1-0=2 \\ 2=2 \end{gathered}$

Equation satisfy for x = 3. So x = 3 is valid value of x.

For x = 6,

$\begin{gathered} 2\log _36-\log _3(6-2)=2 \\ 2\log _36-\log _34=2 \\ \log _3(6^2)-\log _34=2 \\ \log _3(\frac{36}{4})=2 \\ \log _39=2 \\ \log _3(3^2)=2 \\ 2\log _33=2 \\ 2=2 \end{gathered}$

Equation satifies for x = 6.

Thus values of x for equation are x = 3 and x = 6.

6 0

1 year ago