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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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The girls tennis team was interested in raising funds for an upcoming trip. The team sold tumblers for $10 and sun hats for $5
gtnhenbr [62]

The equations that can be used are 10T + 5S = 190 and T + S = 30.

<h3><u>Equations</u></h3>

Given that the girls tennis team was interested in raising funds for an upcoming trip, and the team sold tumblers for $10 and sun hats for $5, and when the sales were over, the team had earned $190 and sold 30 total products, which included a mix of tumblers and hats, to determine which equations can be used to represent the situation, the following calculations must be made:

  • T + S =190
  • -It cannot be used because it has any relationship with the price of the products.

  • 10T + 5S = 30
  • -It cannot be used because it only considers the quantity variable.

  • T + S = 30
  • -It can be used as it shows the amount of products sold.

  • 10T + 5S = 190
  • -It can be used because it relates the total price to the quantity of each product.

  • T + S = 15
  • -It cannot be used because it only considers the price variable.
  • 5T + 10S = 190
  • -It cannot be used because it erroneously relates the price of each product.

Therefore, the equations that can be used are 10T + 5S = 190 and T + S = 30.

Learn more about equations at brainly.com/question/26511270.

5 0
3 years ago
Read 2 more answers
Which expression is equivalent to x^4 - 12x^2 + 36?
QveST [7]
So the answer is
(<span>x^2 plus or minus 6)(x^2 plus or minus 6)
an easy way to do this is to only look at plus or minus 6
x^4 <u><em>- 12</em></u>x^2 + <u><em>36   (-12 and 36)
</em></u><em />

<u><em /></u>6 x 6 = 36
<em />6 + 6 </span>≠ -12              (x^2 + 6)(x^2 + 6) is incorrect        
<span><u><em>
</em></u><em><u /></em><u />
6 x -6 </span>≠ 36
<span><em />6 + -6 </span>≠ -12             (x^2 - 6)(x^2 + 6) is incorrect
<span><em /><em>
</em><em />-6 x -6 = 36
<em />-6 + -6 = -12         </span><span>(x^2 - 6)(x^2 - 6) is correct
</span><u><em>
the answer is (1)

</em></u>
3 0
3 years ago
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Consider the survey descriptions shown. Survey 1: A township employee surveys all 118 workers at a shopping mall to learn about
sweet [91]

Answer:

3,2,1

Step-by-step explanation:

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3 years ago
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If you are smart put this emojiif u not smart put this emoji ok thanks
PtichkaEL [24]
Yesssss that is right
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3 years ago
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4x + 10 = 2x - 14<br> Find the value of x.
Gre4nikov [31]

Answer:

x= -12

Step-by-step explanation:

Simplifying

4x + 10 = 2x + -14

Reorder the terms:

10 + 4x = 2x + -14

Reorder the terms:

10 + 4x = -14 + 2x

Solving

10 + 4x = -14 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.

10 + 4x + -2x = -14 + 2x + -2x

Combine like terms: 4x + -2x = 2x

10 + 2x = -14 + 2x + -2x

Combine like terms: 2x + -2x = 0

10 + 2x = -14 + 0

10 + 2x = -14

Add '-10' to each side of the equation.

10 + -10 + 2x = -14 + -10

Combine like terms: 10 + -10 = 0

0 + 2x = -14 + -10

2x = -14 + -10

Combine like terms: -14 + -10 = -24

2x = -24

Divide each side by '2'.

x = -12

Simplifying

x = -12

3 0
3 years ago
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