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3 years ago

9x + 12 - 3x = 3(2x + 4) Need help

Mathematics

1 answer:

netineya [11]3 years ago

8 0

Answer:

Step-by-step explanation:

So you start by putting the like terms together which will be

9x-3x=6x

You then open the brackets at the other part of the question

3 x 2x+3 x 4=6x+12

The question now becomes

6x +12=6x+12

Take 12 to the other side and minus.You will be left with

6x=6x

Simplify and your left with x which is your answer

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Which expression is equivalent to 4x-9+6y+17x

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21x-9+6y

combining terms: 4x+17x=21x

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3 years ago

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Two certificates of deposit pay interest that differ by 3%. Money invested for one year in the first CD earns $240 interest. The

Soloha48 [4]

a = interest rate of first CD

b = interest rate of second CD

and again, let's say the principal invested in each is $X.

$\bf a-b=3\qquad \implies \qquad \boxed{b}=3+a~\hfill \begin{cases} \left( \frac{a}{100} \right)X=240\\\\ \left( \frac{b}{100} \right)X=360 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \left( \cfrac{a}{100} \right)X=240\implies X=\cfrac{240}{~~\frac{a}{100}~~}\implies X=\cfrac{24000}{a} \\\\\\ \left( \cfrac{b}{100} \right)X=360\implies X=\cfrac{360}{~~\frac{b}{100}~~}\implies X=\cfrac{36000}{b} \\\\[-0.35em] ~\dotfill\\\\$

$\bf X=X\qquad thus\qquad \implies \cfrac{24000}{a}=\cfrac{36000}{b}\implies \cfrac{24000}{a}=\cfrac{36000}{\boxed{3+a}} \\\\\\ (3+a)24000=36000a\implies \cfrac{3+a}{a}=\cfrac{36000}{24000}\implies \cfrac{3-a}{a}=\cfrac{3}{2} \\\\\\ 6-2a=3a\implies 6=5a\implies \cfrac{6}{5}=a\implies 1\frac{1}{5}=a\implies \blacktriangleright 1.2 = x\blacktriangleleft$

$\bf \stackrel{\textit{since we know that}}{b=3+a}\implies b=3+\cfrac{6}{5}\implies b=\cfrac{21}{5}\implies b=4\frac{1}{5}\implies \blacktriangleright b=4.2 \blacktriangleleft$

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3 years ago

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Marty paid $121 for shoes and clothes. He paid $45 more for clothes than he did for shoes. How much did Marty pay for the shoes?

yarga [219]

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3 years ago

The area of a rectangle is 180 squared in2. The ratio of the length to the width is 5 : 4Find the length and the width. The leng

alina1380 [7]

Answer:

length = 100 squared Width = 80 squared

Step-by-step explanation:

You add the to ratio number ( 4+5 ). You take that number (9) and divide with 180. You receive the answer 20. Then you multiply 20 by 5 to get the length and multiply 20 by 4 to width. Then you just add back the square operation.

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3 years ago