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3 years ago

Solve for a[

rmula1" title=" \frac{a+2}{3} = \frac{a-4}{6} " alt=" \frac{a+2}{3} = \frac{a-4}{6} " align="absmiddle" class="latex-formula">

Mathematics

1 answer:

Lady bird [3.3K]3 years ago

5 0

$\frac{a + 2}{3} = \frac{a - 4}{6} \\ 6(a + 2) = 3(a - 4) \\ 6a + 12 = 3a - 12 \\ 3a = - 24 \\ a = - 8$

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6) 7(4x - 1) - 2 = 47

MatroZZZ [7]

Answer:

6) X is 2

Step-by-step explanation:

I could only answer one because that's all that I had time for...

I am also sorry about the blurriness and my sloppy handwriting

4 0

3 years ago

The intensity of an earthquake with a magnitude of 2 is how many times greater than the intensity of an a standard earthquake ?

Ksju [112]

Answer:

The intensity of an earthquake with a magnitude of 2 is 100 times greater than the intensity of a standard earthquake.

Explanation:

The magnitude of earthquakes is given by

$Magnitude=log\frac{I}{S}$

$2=log\frac{I}{S}\\$

Where I is the intensity of earthquake and S is the intensity of standard earthquake.

The magnitude of standard earthquakes is given by

$Magnitude=log\frac{S}{S}= log(1) = 0$

So comparing the magnitude of the given earthquake and standard earthquake,

$log\frac{I}{S} = log\frac{S}{S}$

$log\frac{I}{S} - log\frac{S}{S}$

$log(2) - log(1)$

$2 - 0$

$2$

which means that

$10^2 = 100$ times greater

Therefore, the intensity of an earthquake with a magnitude of 2 is 100 times greater than the intensity of a standard earthquake.

6 0

3 years ago

you are baking 144 cupcakes for a class party tomorrow you know that you can make 12 cupcakes every 30 minutes how long will it

Elza [17]

Set up a proportion.

12 cupcakes/ 0.5 hrs= 144 cupcakes/ x hrs

12*12=144
0.5*12=6=x

Final answer: 6 hrs

4 0

3 years ago

Read 2 more answers

What is x if x+2=3??

Furkat [3]

Answer:

Answer ↑

Solve by transposition method

Answer ↑

Solve by Systematic method

hope it helps!!!

(~‾▿‾)~(~‾▿‾)~(~‾▿‾)~(~‾▿‾)~(~‾▿‾)~

5 0

3 years ago

Read 2 more answers

elizabeth invests $250 at a 1% interest rate compounded continuously. emily invests $200 at a 2% interest rate compounded contin

DiKsa [7]

$\bf ~~~~~~ \stackrel{Elizabeth}{\textit{Continuously Compounding Interest Earned Amount}}
\\\\
A=Pe^{rt}\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to& \$250\\
r=rate\to 1\%\to \frac{1}{100}\to &0.01\\
t=years\to &20
\end{cases}
\\\\\\
A=250e^{0.01\cdot 20}\implies A=250e^{0.2}\\\\
-------------------------------$

$\bf ~~~~~~ \stackrel{Emily}{\textit{Continuously Compounding Interest Earned Amount}}
\\\\
A=Pe^{rt}\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to& \$200\\
r=rate\to 2\%\to \frac{2}{100}\to &0.02\\
t=years\to &20
\end{cases}
\\\\\\
A=200e^{0.02\cdot 20}\implies A=200e^{0.4}$

compare the amounts.

3 0

3 years ago