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ira [324]
3 years ago
15

3. Franklin has 5 red marbles, 16 black marbles, 3 miniature green balls, and 9 miniature yellow balls in a jar at home. What is

the ratio of the number of miniature balls to the number of black marbles in the jar? (2 points)
​
Mathematics
1 answer:
Korolek [52]3 years ago
8 0

Answer:

12:16

Step-by-step explanation:

Add the miniature balls.

3 + 9 = 12

There are 16 black marbles in the jar.

Therefore, the ratio of miniature balls to the number of black marbles is 12:16.

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Solve 12x + 6 2 9x + 12.<br> A. X2<br> B. xs2<br> O<br> C. X26<br> 0<br> D. Xs6<br> SUBNANT
Alexxx [7]

Answer:

269

Step-by-step explanation:

Solve 12x + 6 2 9x + 12.

A. X2

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8 0
3 years ago
Simplify:( 2x - 2)( 3x^2 + 9x - 3). What is the coefficient of the quadratic term?
mario62 [17]
You can use the distributive property and multiply this out.
  2x(3x² +9x -3) -2(3x² +9x -3)
  = 6x³ +18x²-6x -6x² -18x +6
  = 6x³ +12x² -24x +6

The coefficient of the x² term is 12.

_____
You can do this in your head using the techniques of Vedic mathematics. Write the coefficients of the two expressions, putting 0 for the x² coefficient in the first factor.
  0 2 -2
  3 9 -3

The x² term of the product will be the sum of the products of terms whose degrees add to 2. That is, the first term of the first row times the last term of the second row, plus the product of the middle two numbers in each row, plus the product of the first term in the second row times the last term in the first row.

Here's a more visual representation of the products that get added to get the coefficient of the x² term.
  0 2 -2
  3 9 -3 . . . . product is 0

  0 2 -2
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  0 2 -2
  3 9 -3 . . . . product is -6

The sum, of course, is 0 +18 -6 = 12
6 0
4 years ago
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