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3 years ago

9

Beth sold Half of her comic books and then bought nine more. She now has 28. With how many did she begin with? ( I need the step

by step of how to solve this)

1 answer:

DaniilM [7]3 years ago

5 0

Does anyone know

because I don't

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Plss answer!! <br>MERRY Christmas!!! <br>Critical Question. AAAAA

liberstina [14]

Answer:

Step-by-step explanation:

abc = 1

We have to prove that,

$\frac{1}{1+a+b^{-1}}+\frac{1}{1+b+c^{-1}}+\frac{1}{1+c+a^{-1}}=1$

We take left hand side of the given equation and solve it,

$\frac{1}{1+a+\frac{1}{b}}+\frac{1}{1+b+\frac{1}{c}}+\frac{1}{1+c+\frac{1}{a}}$

Since, abc = 1,

$\frac{1}{c}=ab$ and c = $\frac{1}{ab}$

By substituting these values in the expression,

$\frac{1}{1+a+\frac{1}{b}}+\frac{1}{1+b+\frac{1}{c}}+\frac{1}{1+c+\frac{1}{a}}=\frac{1}{1+a+\frac{1}{b}}+\frac{1}{1+b+ab}+\frac{1}{1+\frac{1}{ab}+\frac{1}{a}}$

$=\frac{b}{b+ab+1}+\frac{1}{1+b+ab}+\frac{ab}{ab+1+b}$

$=\frac{1+b+ab}{1+b+ab}$

$=1$

Which equal to the right hand side of the equation.

Hence, $\frac{1}{1+a+b^{-1}}+\frac{1}{1+b+c^{-1}}+\frac{1}{1+c+a^{-1}}=1$

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3 years ago

Someone help for Brainiest please

Firdavs [7]

Answer:

$\sqrt{4}$

Is the answer

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2 years ago

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12 is 90% of what number?<br><br><br> with steps

a_sh-v [17]

Answer:

<h3><u>Let's</u><u> </u><u>understand the concept</u><u>:</u><u>-</u></h3>

Here 12 is 90% of a number.
So we can say that 90% of That number is 12 .
In this way we can get the the number

<h3><u>Solution</u><u>:</u><u>-</u></h3>

Let,

the number=x

<h3>According to the question ,</h3>

${:}\longrightarrow$ $\sf 90\% \:of \;x=12$

We know 90%=90/100
so add it

${:}\longrightarrow$ $\sf {\dfrac {90}{100}}\times x=12$

${:}\longrightarrow$ $\sf {\dfrac {90x}{100}}=12$

Now use cross multiplication method

${:}\longrightarrow$ $\sf 90x=12\times 100$

${:}\longrightarrow$ $\sf 90x=1200$

Now interchange sides .

${:}\longrightarrow$ $\sf x={\dfrac {1200}{90}}$

${:}\longrightarrow$ $\sf x={\dfrac {200}{15}}$

Answer will come in decimals so we take approximate value.

${:}\longrightarrow$ $\sf x=13.3$

${:}\longrightarrow$ $\sf x=approximately \:13$

$\therefore$ The number is 13.

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3 years ago

What is the answer?<br> 82.7(blank)<br> - 5.59<br> ----------

Goshia [24]

The answer will be 77.11

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4 years ago

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How much should a family deposit at the end of every 6 months in order to have $4000 at the end of 3 years? The account pays 5.9

ra1l [238]

We are asked to determine the present value of an annuity that is paid at the end of each period. Therefore, we need to use the formula for present value ordinary, which is:

$PV_{ord}=C(\frac{1-(1+i)^{-kn}}{\frac{i}{k}})$

Where:

$\begin{gathered} C=\text{ payments each period} \\ i=\text{ interest rate} \\ n=\text{ number of periods} \\ k=\text{ number of times the interest is compounded} \end{gathered}$

Since the interest is compounded semi-annually this means that it is compounded 2 times a year, therefore, k = 2. Now we need to convert the interest rate into decimal form. To do that we will divide the interest rate by 100:

$\frac{5.9}{100}=0.059$

Now we substitute the values:

$PV_{ord}=4000(\frac{1-(1+0.059)^{-2(3)}}{\frac{0.059}{2}})$

Now we solve the operations, we get:

$PV_{\text{ord}}=39462.50$

Therefore, the present value must be $39462.50

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1 year ago