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2 years ago

14

Dylan owns a bag that contains 7 blue marbles, 5 purple marbles, 12 red marbles, and 6 orange marbles. If he randomly pulls a ma

rble from the bag, What is the probability of him pulling a red marble? What is the probability of him pulling a blue or purple marble?

1 answer:

faust18 [17]2 years ago

5 0

Answer:

The probability of him pulling a red marble is 12 to 30. The probability of him pulling a blue or purple marble is also 12 to 30.

Step-by-step explanation:

7+5+12+6=30 (all colors)

12 to 30 red ones

7+5+12+6=30 (all colors) and

7+5=12 (blue + purple)

12 to 30 blue or purple

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Now there is a square city of unknown size with a gate at the center of each side. There is a tree 20 b from the north gate. Tha

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Answer:

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Step-by-step explanation:

Given

$a = 20$ --- tree distance from north gate

$b =14$ --- movement from south gate

$c = 1775$ --- movement in west direction from (b)

See attachment for illustration

Required

Find x

To do this, we have:

$\triangle ADE \sim \triangle ACB$ --- similar triangles

So, we have the following equivalent ratios

$AE:DE = AB:CB$

Where:

$AE = 20\\ DE = x/2 \\ AB = 20 + x + 14 \\ CB = 1775$

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$20:x/2 = 20 + x + 14: 1775$

$20:x/2 = x + 34: 1775$

Express as fraction

$\frac{20}{x/2} = \frac{x + 34}{1775}$

$\frac{40}{x} = \frac{x + 34}{1775}$

Cross multiply

$x *(x + 34) = 1775 * 40$

Open bracket

$x^2 + 34x = 71000$

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$x^2 + 34x - 71000 = 0$

Expand

$x^2 + 284x -250x - 71000 = 0$

Factorize

$x(x + 284) -250(x + 284)= 0$

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$x - 250 = 0 \ or\ x + 284= 0$

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