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Tasya [4]
3 years ago
13

The smith family walked 2/3 of a mile in 2/7 of an hour? What is their unit rate in miles per hour? Explain how this is determin

ed. (Show complex fraction setup.)
Mathematics
1 answer:
frez [133]3 years ago
6 0

Answer: 2\dfrac13\text{ miles per hour}

Step-by-step explanation:

Given: Distance traveled by Smith = \dfrac23 mile.

Time taken = \dfrac27  hour

Unit rate in miles per hour = ( Distance traveled by Smith) ÷ (Time taken)

=\dfrac23\div\dfrac27

\\\\=\dfrac23\times\dfrac72\\\\=\dfrac73\\\\=2\dfrac13\text{ miles per hour}

Unit rate  = 2\dfrac13\text{ miles per hour}

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Find the sum <br> (-8z+4)+(8z-7)
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Step-by-step explanation:

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Find the shortest distance, d, from the point (5, 0, −6) to the plane x + y + z = 6.
DENIUS [597]

Answer:

\frac{7}{\sqrt{3}}

Step-by-step explanation:

The shortest distance d, of a point (a, b, c) from a plane mx + ny + tz = r is given by:

d = |\frac{(ma + nb + tc - r)}{\sqrt{m^2 + n^2 + t^2}} |                   --------------------(i)

From the question,

the point is (5, 0, -6)

the plane is x + y + z = 6

Therefore,

a = 5

b = 0

c = -6

m = 1

n = 1

t = 1

r = 6

Substitute these values into equation (i) as follows;

d = |\frac{((1*5) + (1*0) + (1 * (-6)) - 6)}{\sqrt{1^2 + 1^2 + 1^2}} |

d = |\frac{((5) + (0) + (-6) - 6)}{\sqrt{1 + 1 + 1}} |

d = |\frac{(-7)}{\sqrt{3}} |

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5 0
3 years ago
5x+11=-3x+35 i need help solve for x
vaieri [72.5K]

Answer:

x = 3

Step-by-step explanation:

Let's solve your equation step-by-step.

5x + 11 = -3x +35

Add 3x to both sides.

5x + 11 + 3x = -3x + 35 + 3x

8x + 11 = 35

Subtract 11 from both sides.

8x + 11 - 11 = 35 - 11

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Divide both sides by 8.

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So therefore, that is how you found your answer: x = 3


8 0
3 years ago
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Yuliya22 [10]
Exact form- 7/2
Decimal form- 3.5
Mixed number form- 3 1/2

I hope that helps!!!
5 0
3 years ago
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