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3 years ago

4(2x-3)+8(x-4)=2(2x+6) help plzzz

Mathematics

2 answers:

TEA [102]3 years ago

8 0

Answer:

x = 14/3

Step-by-step explanation:

4(2x-3)+8(x-4)=2(2x+6)

Distribute

8x -12 +8x - 32 = 4x +12

Combine like terms

16x -44 = 4x+12

Subtract 4x

16x-4x -44 = 4x+12-4x

12x -44 =12

Add 44 to each side

12x-44+44 = 12+44

12x = 56

Divide each side by 12

12x/12 = 56/12

x = 14/3

Mamont248 [21]3 years ago

6 0

Answer:

$x=\dfrac{14}{3}$

Step-by-step explanation:

$4(2x-3)+8(x-4)=2(2x+6)$

Expand parentheses:

$8x-12+8x-32=4x+12$

Combine similar terms:

$16x-44=4x+12$

Subtract 4x and add 44 to both sides:

$12x=56$

Divide both sides by 12:

$x=\dfrac{14}{3}$

Hope this helps!

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09:57:09

Sveta_85 [38]

8 cm and 9 cm is the correct answer

8 0

2 years ago

A person invests $4000 at 2% interest compounded annually for 4 years and then invests the balance (the $4000 plus the interest

faltersainse [42]

$\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$4000\\
r=rate\to 2\%\to \frac{2}{100}\to &0.02\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years\to &4
\end{cases}
\\\\\\
A=4000\left(1+\frac{0.02}{1}\right)^{1\cdot 4}\implies A=4000(1.02)^4\implies A\approx 4329.73$

then she turns around and grabs those 4329.73 and put them in an account getting 8% APR I assume, so is annual compounding, for 7 years.

$\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$4329.73\\
r=rate\to 8\%\to \frac{8}{100}\to &0.08\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years\to &7
\end{cases}
\\\\\\
A=4329.73\left(1+\frac{0.08}{1}\right)^{1\cdot 7}\implies A=4329.73(1.08)^7\\\\\\ A\approx 7420.396$

add both amounts, and that's her investment for the 11 years.

7 0

2 years ago

Derrick is training for a race he wants to run a total of 100 miles over 4 weeks he only runs 16 miles in the first week if he r

Gala2k [10]

Answer:

28 miles

Step-by-step explanation:

Let w stand for the number of miles Derrick runs each week. Then after 4 weeks of training, he wants the total mileage to be 100 miles.

16 + 3w = 100

3w = 84 . . . . . . . subtract 16

w = 28 . . . . . . . . divide by 3

Derrick will run 28 miles each week to achieve his training goal.