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Harman [31]
3 years ago
11

a sports tournament has 8 teams. each team has n players. using n, write an expression for the total numbers of players in the t

ournament
Mathematics
1 answer:
erastova [34]3 years ago
5 0

Answer:

8n.

Step-by-step explanation:

You would be multiplying the amount of teams by the number of members to find the total members, hence 8 times n.

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If ON= 5x - 7, LM = 4x+ 4, NM = x -7, and OL =3y-4, find the values of c and y for which LMNO MUST BE a parallelogram.
Sholpan [36]

Answer:

x=11, y=8/3

Step-by-step explanation:

Consider quadrilateral LMNO. If this quadrilateral MUST BE a parallelogram, then

LM=NO

and

LO=MN

Thus,

\left\{\begin{array}{l}4x+4=5x-7\\ \\x-7=3y-4\end{array}\right.

Solve this system of two equations. From the first equation:

4x-5x=-7-4\\ \\-x=-11\\ \\x=11

Substitute it into the second equation:

11-7=3y-4\\ \\3y-4=4\\ \\3y=4+4\\ \\3y=8\\ \\y=\dfrac{8}{3}

4 0
3 years ago
Two ships leave the same port in different directions, forming a 120° angle between them. One ship travels 70 mi. and the other
kondaur [170]

Answer : Distance between the ships to the nearest miles = 106.03 ≈ 106 mi.

Explanation :

Since we have shown in the figure below :

a=70 mi.

b=52 mi.

c=x mi.

\text{Since two ships leaves the same port in different directions forming a }120\textdegree\text{angle between them.}

So, we use the cosine rule , which states that

 c^2=a^2+b^2-2ab.cosC\\\\x^2=70^2+52^2-2\times 70\times 52\times cos(120\textdegree)\\\\x^2=4900+2704-7280\times (-0.5)\\\\x^2=7604+3640\\\\x^2=11244\\\\x=\sqrt{11244}\\\\x=106.03

So, c = x= 106.03 mi.

Hence, distance between the ships to the nearest miles = 106.03 ≈ 106 mi.


8 0
3 years ago
????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????
tigry1 [53]

Answer:

C) 4

Step-by-step explanation:

Replace the variable a with 4 to see if it makes the equation true.

4 + (-7) + 3 = -3 +3

-3 + 3 = 0; thererfore, the number 4 is the proper solution to the equation.

4 0
3 years ago
Under the following translation, (x,y) becomes (x+3, y-2) the point (3,6) will become _____.
kondaur [170]

Answer:

Step-by-step explanation:

put x = 3 and y = 6 in (x+3,y-2) so it becomes (6,4)

7 0
2 years ago
Read 2 more answers
PLease help very easy
valentinak56 [21]
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