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Sergeu [11.5K]
3 years ago
7

Suppose there are 7 roads connecting town a to town b and 8 roads connecting town b to town c. In how many ways can a person tra

vel from a to c via b ?
Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
3 0

Answer:

7\cdot{8}=56

Step-by-step explanation:

In combinatorics, the rule of product states that if there are x ways of doing one thing and y ways of doing another thing, then there are x\cdot{y} ways of performing both actions.

In this case, if there are 7 ways of getting from town A to town B, and 8 ways of getting from town B to town C, then there are 7\cdot{8}=56 ways of getting from town A to town C via town B.

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exis [7]

Given:

The dimensions of a rectangle are 2x-5 and 3x+3.

To find:

The expression that represents the area of the rectangle in simplest terms.

Solution:

Area of a rectangle is:

Area=Length\times Width

The dimensions of a rectangle are 2x-5 and 3x+3. So, the area of the given rectangle is:

Area=(2x-5)\times (3x+3)

Area=2x(3x)+2x(3)-5(3x)-5(3)

Area=6x^2+6x-15x-15

Area=6x^2-9x-15

Therefore, the correct option is F, i.e., 6x^2-9x-15.

4 0
3 years ago
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vichka [17]

Answer:

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Step-by-step explanation:

8 0
3 years ago
a triangle has an area of 54 m2 and a height of 9m how long is the base of the triangle entered your answer in the box
Delvig [45]
Answer:
base of the triangle = 12 m

Explanation:
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Area of the triangle = 1/2 * base * height
54 = 1/2 * base * 9
108 = 9*base
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Hope this helps :)
7 0
3 years ago
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