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AlexFokin [52]
3 years ago
7

A drawer has some red, green, and blue marbles. There are 33 marbles in all. Thete are 4 times as many red marbles as green marb

les. There are half as many blue ,marbles as green. How many blue marbles are in the drawer?
Mathematics
1 answer:
Vinvika [58]3 years ago
6 0
Let:
x - green marbles
4x - red marbles
x/2 - blue marbles

x+4x+\frac{x}{2}=33|\cdot2\\
2x+8x+x=66\\
11x=66\\
\boxed{x=6}\\\\
\boxed{4x=24}\\\\
\boxed{\frac{x}{2}=3}

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What value of x is the solution to the equation −3/2x−3/4=−1/5 ?
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Answer:

\Longrightarrow: \boxed{\sf{x=-\dfrac{11}{30} }}

Step-by-step explanation:

Isolate the term of x from one side of the equation.

<h3>-3/2x-3/4=-1/5</h3>

<u>First, add by 3/4 from both sides.</u>

\sf{-\dfrac{3}{2}x-\dfrac{3}{4}+\dfrac{3}{4}=-\dfrac{1}{5}+\dfrac{3}{4} }

<u>Solve.</u>

⇒ = -3/2x=11/20

<u>Then, you multiply by 2 from both sides.</u>

2(-3/2x)=11*2/20

<u>Solve.</u>

11*2/20

11*2=22

22/20

<u>Common factor of 2.</u>

11/10

-3x=11/10

<u>Divide by -3 from both sides.</u>

\sf{\dfrac{-3x}{-3}=\dfrac{\dfrac{11}{10}}{-3}}

<u>Solve.</u>

\Longrightarrow:\boxed{\sf{x=-\dfrac{11}{30} }}

  • <u>Therefore, the correct answer is D. x=-11/30.</u>

I hope this helps! Let me know if you have any questions.

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How many solutions does this system have?
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