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3 years ago

Bring the fraction a/a-4 to a denominator of 16-a^2

Mathematics

1 answer:

Dmitry_Shevchenko [17]3 years ago

3 0

Answer:

a / (a - 4) = a(a + 4) / ((a - 4)(a + 4)) = (a^2 + 4a) / (a^2 - 16) = -(a^2 + 4a) / (16 - a^2)

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4. A boat shop rents its boats for $20 per hour and charges a flat fee of

ruslelena [56]

Answer:

4 hours

Step-by-step explanation:

Let x = # of hours

22x + 10 = 98

-10 -10

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22x = 88

x = 4

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2 years ago

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Nata [24]

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Question 11 (2.5 points)

Rama09 [41]

Answer:

Step-by-step explanation:

The answer is d, because a represents adults, and c represent children. It's $45 per adult, so $45a, and $30 per child, so $30c. a+c is equal to 10, because that's how many tickets were purchased. $45a+$30c=345, because $345 is the total amount spent on tickets.

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3 years ago

-5(x - 4) + 6 = 5(3x+4) -4

jenyasd209 [6]

Answer:

x=1/2

Step-by-step explanation:

-5(x - 4) + 6 = 5(3x+4) -4

WE APPLY DISTRIBUTIVE PROPERTY:

-5*x +5*4 + 6 = 5*3x +5*4 -4

-5x + 26 = 15x +20 -4

26 +4 -20=15x+5x

10=20x

x= 10/20

we have:

x=1/2

3 0

3 years ago

Assuming that n 1 , rewrite the compound interest equation B t 900 1.185 t in the general form.

Rufina [12.5K]

$\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\\
r=rate\to r\%\to \frac{r}{100}\\
n=
\begin{array}{llll}
\textit{times it compounds per year}
\end{array}\\
t=year
\end{cases}$

$\bf 1.185\implies 1+0.185\qquad\quad and\quad n=1
\\\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}\implies A=P\left(1+0.185\right)^{nt}\implies A=P\left(1+\frac{0.185}{1}\right)^{1\cdot t}$

so, the percentage of the rate is 0.185, what's that as a percentage? well, 0.185 * 100, 18.5%.

3 0

3 years ago