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Len [333]
3 years ago
10

Thirty two soccer teams enter a statewide competition. The teams are paired randomly in each round. The winning team goes on to

the next round and the losers are eliminated. How many matches must be played in order to crown one winner
Mathematics
2 answers:
horrorfan [7]3 years ago
8 0
16 matches need to be played to crown one winner
muminat3 years ago
8 0

Answer:

It would be 16 matches

Step-by-step explanation:

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Combine like terms.
stealth61 [152]
D. 7+13t

7+(19t-6t)
7+13t
6 0
4 years ago
This table gives a few (x,y)(x,y)left parenthesis, x, comma, y, right parenthesis pairs of a line in the coordinate plane. -28 -
Serhud [2]

Answer:

The y-intercept is y = 2

Step-by-step explanation:

A linear function has the following format:

y = mx + b

In which m is the slope and b is the y-intercept, which is the value of y when x = 0.

We are given these three points:

(-28, -54)

(-21, -40)

(-14, -26)

We use two of them to build a system, to find values for m and b.

(-28, -54)

This means that when x = -28, y = -54

So

y = mx + b

-54 = -28m + b

28m = b + 54

m = \frac{b + 54}{28}

(-21, -40)

This means that when x = -21, y = -40

So

y = mx + b

-40 = -21m + b

-40 = -21\frac{b + 54}{28} + b

-40 = \frac{-21b - 1134 + 28b}{28}

7b - 1134 = -40*28

7b = 14

b = \frac{14}{7}

b = 2

The y-intercept is y = 2

7 0
3 years ago
Solve each calculation. Be sure to report your answer with the correct number of significant figures.
Serjik [45]

Question:

Solve each calculation. Be sure to report your answer with the correct number of significant figures.

5.61000 dg  × 1.1010 dg  

12.0 m  ÷ 3.1415 m

Answer:

1. 5.61000dg  * 1.1010dg = 6.177 dg^2

2. \frac{12}{3.1415} = 3.8198

Step-by-step explanation:

1. 5.61000 dg  × 1.1010 dg  

We start by representing each digit using scientific notation

5.61000 = 561000 * 10^{-5}

1.1010 = 11010 * 10^{-4}

Then, Multiply both numbers

561000 * 10^{-5} * 11010 * 10^{-4}

First, rearrange

561000  * 11010 * 10^{-5} *  10^{-4}

6176610000 * 10^{-5} *  10^{-4}

From law of indices, 10^{-5} *  10^{-4} = 10^{-9};

So, we have

6176610000 * 10^{-9}

6.176610000

Because 5.61000 is given in 3 significant figures and 1.1010 is given in 4 significant figures, we approximate the result to 4 significant figures

This gives 6.177

Hence, 5.61000dg  * 1.1010dg = 6.177 dg^2

2.

12.0 m  ÷ 3.1415 m

Using proper notation

12.0 m ÷ 3.1415 m = \frac{12}{3.1415}

We start by representing 3.1415 using scientific notation

3.1415 = 31415 * 10^{-4}

By substitution;

\frac{12}{3.1415} = \frac{12}{31415 * 10^-4}

Take 10^{-4} to the numerator

\frac{12}{3.1415} = \frac{12 * 10^4}{31415}

From law of indices, 10^{4} = 10000

\frac{12}{3.1415} = \frac{12 * 10000}{31415}

Multiply

\frac{12}{3.1415} = \frac{120000}{31415}

Divide

\frac{12}{3.1415} = 3.81983129078

Because 12.0 is given in 2 significant figures and 3.1415 is given in 5 significant figures, we approximate the result to 5 significant figures

\frac{12}{3.1415} = 3.8198

5 0
4 years ago
Read 2 more answers
What is y equal to when x= -2<br><br> Y=-x+4
Alex17521 [72]

Y= -2+4

If X equals -2, you want to plug -2 in for X.

I hope I helped!

:)

5 0
4 years ago
Which statement best describe the figure below Please help
nasty-shy [4]

Answer:

Can't see the answer choices

the figure it translated across the Y-Axis

7 0
3 years ago
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