There are only blue yellow and green cubes is a bag. There are three times as many blue cubes as yellow cubes. There are five times as many green cubes as blue cubes. I take out a random cube from the bag, what is the probability that I take out a yellow cube?

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Answer:

  1/6

Step-by-step explanation:

The slope is the coefficient of x when you solve for y. A parallel line will have the same slope.

  -18y = -3x -378

  y = 1/6x +21

The slope of the parallel line is 1/6.

Final answer:

By rearranging the given equation into slope-intercept form (y = mx + b), we can identify the slope as 1/6. Therefore, a line parallel to the original would also have a slope of 1/6.

Explanation:

The equation provided is 3x - 18y = -378. To find the slope of this line, we first need to rearrange the equation into y = mx + b format where 'm' represents the slope. The equation becomes y = 3/18 x + 21.

The slope of this line is 3/18, which simplifies to 1/6. The slope of a line parallel to this would also be 1/6, because parallel lines have equal slopes. So, the slope of the line parallel to the given line is 1/6.

Learn more about Slope here:

brainly.com/question/34849567

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Answer:

tan^-+2/5), tan^-(-4/8)

Step-by-step explanation:

above

Answer:

3x the answer with 3x

3x

Answer: her speed on the bicycle is 8 mph

Step-by-step explanation:

Let x represent the speed at which she walks. If she rides 6 mph faster than she can walk, then the speed at which she rides is (x + 6) mph

Distance = speed × time

Eli walk from her house to a friends house in one hour. This means that the distance covered is 1 × x = x miles.

Distance on her bicycle in 15 minutes. Converting 15 minutes to hours, it becomes 15/60 = 0.25 hour. Distance covered while riding is 0.25(x + 6) = 0.25x + 1.5

Since the distance is the same,then

x = 0.25x + 1.5

x - 0.25x = 1.5

0.75x = 1.5

x = 1.5/0.75

x = 2

her speed on the bicycle is

x + 6 = 2 + 6 = 8 mph

The volume of a cylinder is calculated using the following formula:

```

Volume = π * radius^2 * height

```

π (pi) is a mathematical constant that represents the ratio of a circle's circumference to its diameter. It is approximately equal to 3.14.

In this case, the radius of the cylinder is 12 cm and the height of the cylinder is 13 cm. Substituting these values into the formula, we get:

```

Volume = 3.14 * 12^2 * 13

```

```

Volume = 5881.1 cubic centimeters

```

**Answer:**

The volume of the cylinder is **5881.1 cubic centimeters**.