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OLEGan [10]
4 years ago
11

At a concession stand, seven hot dog(s) and four hamburger(s) cost $14.00; four hot dog(s) and seven hamburgers(s) cost $16.25.

Find the cost of one hot dog and the cost of one hamburger.
Mathematics
2 answers:
kotykmax [81]4 years ago
7 0
One hamburger cost 2.32 

lisabon 2012 [21]4 years ago
3 0
Hotdogs cost $1.75 each and hamburger $1
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Find the shortest distance, d, from the point (5, 0, −6) to the plane x + y + z = 6.
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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}} |

d = \frac{7}{\sqrt{3}}

Therefore, the shortest distance from the point to the plane is  d = \frac{7}{\sqrt{3}}

5 0
4 years ago
14. 3/64 + 2/32 + 5/16 = <br>what is the answer ​
Anit [1.1K]

Answer:

27/64

Step-by-step explanation:

(7×16)+(5×64)64×16

=112+3201/024

=432/1024

Simplifying 432/1024, the answer is

=27/64

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3 years ago
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Step-by-step explanation:

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