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Sedaia [141]
3 years ago
10

A bag contains 40 red and green marbles. The number of green marbles, g, is 9 times the number of red marbles, r.

Mathematics
1 answer:
Montano1993 [528]3 years ago
8 0

Answer:

4 red marbles

Step-by-step explanation:

r is the number of red marbles then green marbles is 9r , so

r + 9r = 40

10r = 40 ( divide both sides by 10 )

r = 4

there are 4 red marbles

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Step-by-step explanation:

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Now you can substitute values into  cos\alpha=\frac{adjacent}{hypotenuse} and then reduce the fraction.

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Let's factorise it :

\: {\qquad  \dashrightarrow \sf   ( {x}^{3}   -  5)(x + 3)  }

\: {\qquad  \dashrightarrow \sf    {x}^{3} (x + 3) + [-5(x + 3)]  }

Using Distributive property we get :

\: {\qquad  \dashrightarrow \sf    {x}^{3} +  {3x}^{3}   + ( - 5x - 15)  }

\: {\qquad  \dashrightarrow \sf    {x}^{3} +  {3x}^{3}   - 5x - 15 }

\: {\qquad  \dashrightarrow \sf    4{x}^{3}  - 5x - 15 }

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Therefore,

\: {\qquad  \dashrightarrow \sf   ( {x}^{3}   -  5)(x + 3)   =4{x}^{3}  - 5x - 15}

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