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kobusy [5.1K]
3 years ago
15

The Bureau of fisheries asked to find the shortest route for getting samples from location in a certain gulf. How many routes ar

e possible if samples must be taken at four locations from a list of 8 locations
Mathematics
1 answer:
Marta_Voda [28]3 years ago
5 0

Answer:

70 routes are possible

Step-by-step explanation:

Here, we want to find the number of possible routes

Since samples must be taken at four locations from a possible 8; then the number of possible routes will be 8 C 4

= 70 routes

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Answer:

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Step-by-step explanation:

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The system of equations
cupoosta [38]

Answer:

z = -12

Step-by-step explanation:

The given system of equations is:

xy/(x + y) = 1 ...........................(1)

xz/(x + z) = 2...........................(2)

yz/(y + z) = 3...........................(3)

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y = x(y - 1)

x = y/(y - 1).......................................(4)

From (2): 2(x + z) = xz

=> 2x + 2z = xz

2x = xz - 2z

2x = z(x - 2)

z = 2x/(x - 2) ....................................(5)

From (3): 3(y + z) = yz

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3y = z(y - 3)

z = 3y/(y - 3)....................................(6)

Comparing (5) and (6)

2x/(x - 2) = 3y/(y - 3)

2x(y - 3) = 3y(x - 2)

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But from (1): xy = x + y

Using this in (7), we have

6(y - x) = x + y

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5y = 7x

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Using this in (4)

5y/7 = y/(y - 1)

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Using this in (8)

x = 5(12/5)/7 = 12/7 .......................(10)

Using (10) in (5)

z = 2x/(x - 2)

z = 2(12/7) ÷ (12/7 - 2)

= 24/7 ÷ -2/7

= 24/7 × (-7/2)

= -24/2 = -12

z = -12.

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