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Ksenya-84 [330]
3 years ago
14

You and your friend live 5 mi apart. He says that it is 5 mi from his house to your house and -5 mi from your house to his house

. What is the error in his argument?
Mathematics
1 answer:
Igoryamba3 years ago
4 0
You cant have -5 mi, the distance doesn't change. It is still 5 mi from his house to your house and vice versa. 
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10500 people visited an art gallery in 2002.This was an increase of 25% on 2001.How many visitors were there in 2001?​
Alenkasestr [34]
There were (10500/1.25) = 8400 visitors in 2001.


Explanation:
An increase of 25% means multiplying by 1.25. So, if the visitors from 2001 are multiplied by 1.25, then the result is 10500. Thus, the amount from 2001 was 10500/1.25=8400
7 0
3 years ago
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The Northwest High School senior class decided to host a raffle to raise money for their senior trip. They charged $2 for each s
prisoha [69]
Let x be the tickets that the adults bought, andy be the tickets that children bought.
From the problem we have the system of linear equations:
\left \{ {{2x+5y=2686} \atop {y=3x}} \right.

The first thing we are going to do to solve our system, is replacing equation (2) in equation (1), and  then, solve for x
2x+5y=2686
2x+5(3x)=2686
2x+15x=2686
17x=2686
x= \frac{2686}{17}
x=158

Now that we have the number of tickets that the adults bought, lets replace that value in equation (2):
y=3x
y=3(158)
y=474

Last but not least, to find the total number of tickets, we are going to add x and y:
158+474=632

We can conclude that <span>Northwest High School's senior class sold 632 raffle tickets.</span>
7 0
3 years ago
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Calculate the slope of a line that passes through the points (6, -12) and (15, -3).
Stells [14]

Answer:

B. 1

Step-by-step explanation:

The slope is calculated by taking the difference in the y-coordinates of two points and dividing that by the difference in the x-coordinates of those two points.

Here, we have (6, -12) and (15, -3).

The difference in the y-coordinates is:

15 - 6 = 9

The difference in the x-coordinates is:

-3 - (-12) = -3 + 12 = 9

Divide 9 by 9:

9/9 = 1

The slope is thus 1, and the answer is B.

3 0
3 years ago
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In a two-player game, five cards, numbered 1 through 5, are placed in a bag. A card is drawn at random, and the players look at
IceJOKER [234]

Answer:

If it is less than 3, Player 1 earns 3 points.

If not, Player 2 earns 2 points.

Step-by-step explanation:

<u>Player 1</u> :

p(N < 3) = p(N = 1 or N = 2) = 2/5

<u>Player 2</u> :

p(N ≥ 3) = p(N = 3 or N = 4 or N = 5) = 3/5

<u>We notice that</u> :

p(N < 3) × 3 = (2/5) × 3 = 6/5

On the other hand,

p(N ≥ 3) × 2 = (3/5) × 2 = 6/5

since ,the probability player 1 win multiplied by the associated number of points (3)

is equal to

the probability player 2 win multiplied by the associated number of points (2).

Then the game is fair.

8 0
2 years ago
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The expression 2(l + w) is used to calculate the perimeter of a rectangle, where l is length and w is width. If the length is Fr
Nonamiya [84]
1.42857 = 1.43 should be the answer
3 0
3 years ago
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