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3 years ago

6 remainder 1 as a fraction

Mathematics

1 answer:

natka813 [3]3 years ago

6 0

Six and one sixth or 6 1/6

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A young Witch flew her broom 48 miles form her home to a witch festival. Flying with the wind, the trip took 3 hours. Her flight

vekshin1

Using the relation between velocity, distance and time, it is found that:

The speed of the wind is of 2 mph.

The speed of the broom is of 14 mph.

<h3>What is the relation between velocity, distance and time?</h3>

Velocity is <u>distance divided by time</u>, hence:

$v = \frac{d}{t}$

Flying with the wind, in which $v = v_b + v_w$ the 48-mile trip took 3 hours, hence:

$v = \frac{d}{t}$

$v_b + v_w = \frac{48}{3}$

$v_b + v_w = 16$

Her flight home against the wind took 4 fours, hence:

$v = \frac{d}{t}$

$v_b - v_w = \frac{48}{4}$

$v_b - v_w = 12$

Adding the two equations:

$2v_b = 28$

$v_b = 14$

$v_b + v_w = 16 \rightarrow v_w = 2$

Hence:

The speed of the wind is of 2 mph.

The speed of the broom is of 14 mph.

More can be learned about the relation between velocity, distance and time at brainly.com/question/24316569

4 0

3 years ago

Express √-225 in its simplest terms

Montano1993 [528]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Please HELPPPP me !!!!!

dedylja [7]

Answer:

$y = 4x - 3\\Slope \ m_1 = 4$

EQUATION OF LINE PERPENDICULAR

$Lines \ are \ perpendicular => m_1 \cdot m_2 = -1\\$

$slope, m_2 = \frac{-1}{4}$

$equation \ of \ the\ line \ passing \ through \ (-2, 2) \ slope ,m_2 :\\(y - y_2) =m_2(x - x_2)\\ (y - 2) = \frac{-1}{4} (x -(-2))\\\\y - 2 = \frac{-1}{4} (x +2)\\\\y = \frac{-1}{4}x - \frac{1}{2} + 2\\\\y = \frac{-1}{4}x + \frac{3}{2}$

EQUATION OF LINE PARALLEL

$Lines \ are \ parallel => m_1 \cdot m_3 = 1\\slope, m_3 = \frac{1}{4}$ $Equation \ of \ the \ line \ through \ (-2, 2) \ and \ slope, m_3:\\(y - y_3) =m_3(x - x_3)\\\\(y-2) = \frac{1}{4} (x - (-2))\\\\y-2 = \frac{1}{4}(x+2)\\\\y = \frac{1}{4}x + \frac{1}{2} +2\\\\y = \frac{1}{4}x + \frac{5}{2}$