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AURORKA [14]
3 years ago
7

there are 9 different routese between citise A and B, and 8 different routes between cities B and C. How many different routese

are there form city A to city C by way of city B socratic.org
Mathematics
1 answer:
Nookie1986 [14]3 years ago
6 0

Answer:

72 routes

Step-by-step explanation:

The total number of routes from city A to C by way of city B is determined as the product of picking one out 9 routes from A to B by picking one out of 8 routes from city B to C:

n= \frac{9!}{(9-1)!} *\frac{8!}{(8-1)!} =9*8\\n=72\ routes

There are 72 different possible routes.

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what positive number satisfies the condition that twice the number minus three times the reciprocal of the number is equal to 1?
marshall27 [118]
Solve:

"<span>twice the number minus three times the reciprocal of the number is equal to 1."
                                                     3(1)
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                                                       n

Mult all 3 terms by n to elim. the fractions:

2n^2 - 3 = n.  Rearranging this, we get 2n^2 - n - 3 = 0.

We need to find the roots (zeros or solutions) of this quadratic equation.

Here a=2, b= -1 and c= -3.  Let's find the discriminant b^2-4ac first:

disc. = (-1)^2 - 4(2)(-3) = 1 + 24 = 25.

That's good, because 25 is a perfect square.
                -(-1) plus or minus 5         1 plus or minus 5
Then x = ------------------------------ = --------------------------
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x could be 6/4 = 3/2, or -5/4.

You must check both answers in the original equation.  If the equation is true for one or the other or for both, then you have found one or more solutions.</span>
8 0
3 years ago
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4 0
2 years ago
Use the data set to determine which statements are correct. Check all that apply. 35, 41, 18, 75, 36, 21, 62, 29, 154, 70 The me
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6 0
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The price of bananas can be determined by the equation P=0.25n, where P is the price and n is the number of bananas. What is the
Lera25 [3.4K]

Given:

The price of bananas can be determined by the equation P=0.25n, where P is the price and n is the number of bananas.

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We have,

P=0.25n       ...(i)

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8 0
3 years ago
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