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3 years ago

6

Simone has 16 players on her soccer team. There are 6 more boys than girls. How many boys and how many girls?

1 answer:

ankoles [38]3 years ago

4 0

Answer: 3x-x+2=4

Step-by-step explanation:

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Find the sum of a finite geometric sequence from n = 1 to n = 6, using the expression −2(5)n − 1.

vazorg [7]

$\bf \qquad \qquad \textit{sum of a finite geometric sequence}\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=-2\\
r=5\\
n=6
\end{cases}
\\\\\\
S_6=-2\left( \cfrac{1-5^6}{1-5} \right)$

8 0

3 years ago

Read 2 more answers

Write the equation of the line that is perpendicular to the line y = 2x + 2 and passes through the point (6, 3).

weeeeeb [17]

Answer:

\[y = (-1/2) * x + 6\]

Step-by-step explanation:

Equation of the given line: y=2x+2

Hence the slope of the line is given by 2

Any line which is perpendicular to the given line will have a slope m such that m*2 = -1

Or, \[m = \frac{-1}{2}\]

Only options 2 and 3 satisfy this condition.

The line is also supposed to pass through the point (6,3).

Substituting these values in the option 2:

\[3 = (-1/2) * 6 + 3\]

Or, \[ 3 =0 \] which is false . Hence option 2 is not valid.

Now substituting (6,3) in option 3:

\[3 = (-1/2) * 6 + 6\]

Or, \[ 3 =3 \] which is true . Hence option 3 is the required equation of the line.

5 0

3 years ago

20 PTS!! Which best describes the relationship between the line that passes through the points (1, -6) and (3,-2) and the line t

alina1380 [7]

Answer:

A

Step-by-step explanation:

Lines are parallel...

6 0

3 years ago

Read 2 more answers

My brother is currently three times as old as me, but in five years, my brother

wolverine [178]

Answer: Your brother is 15 years old right now.

Step-by-step explanation:

Let be "m" your currently age and "b" your brother's currently age.

Knowing that right now he is three times (this indicates multiplication) as old as you, you can write the following equation:

$b=3m$

In five years your age will be:

$m+5$

And your brother's age will be:

$b+5$

Then, if in five years, your brother will be twice as old as you, you can set up the second equation:

$b+5=2(m+5)$

Then, the System of equations is:

$\left \{ {{b=3m} \atop {b+5=2(m+5)}} \right.$

Apply the Substitution method and substitute the first equation into the second one and solve for "m":

$3m+5=2(m+5)\\\\3m+5=2m+10\\\\m=10-5\\\\m=5$

Substitute the value of "m" into the first equation and evaluate in order to find "b":

$b=3(5)\\\\b=15$

4 0

3 years ago

HELP PLS<br> What is the slope of the line:<br> -3<br> -1/3<br> 1/3<br> 3

nadezda [96]

Answer:

3

Step-by-step explanation:

All you have to do is take that bottom dot and count how many the rise is ----3 and how many the run is -----1.

Therefore, 3/1 is 3

6 0

3 years ago