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gogolik [260]
3 years ago
9

Which expressions are equivalent to 5(1/3x+7)-3(1/2x-4)? Select three options. (There’s a picture)

Mathematics
1 answer:
Otrada [13]3 years ago
7 0

3rd option

Step-by-step explanation:

solve and simplify to find

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A starting lineup in basketball consists of two guards, two forwards, and a center. (a) a certain college team has on its roster
julsineya [31]

1 . Consider lineups without x. You have to select

  • 2 guards from 5 quards;
  • 2 forwards from 3 forwards;
  • 1 center from 4 centers.

It can be made in

C_5^2\cdot C_3^2\cdot C_4^1=10\cdot 3\cdot 4=120 different ways.

2. Consider lineups with x as guard. You have to select

  • 2 guards from 6 quards (one of them must be x);
  • 2 forwards from 3 forwards;
  • 1 center from 4 centers.

It can be made in

C_5^1\cdot C_3^2\cdot C_4^1=5\cdot 3\cdot 4=60 different ways.

3. Consider lineups with x as forward. You have to select

  • 2 guards from 5 quards;
  • 2 forwards from 4 forwards (one of them must be x);
  • 1 center from 4 centers.

It can be made in

C_5^2\cdot C_3^1\cdot C_4^1=10\cdot 3\cdot 4=120 different ways.

Therefore, the total number of different lineups is

120+60+120=300.


5 0
3 years ago
Read 2 more answers
A 3 letter password from the letters a b c and d the password cannot have the same letter repeated in it how many such passwords
iren2701 [21]

Answer:

24\ passwords

Step-by-step explanation:

Total\ available\ characters=4(a,b,c,d)\\\\ We\ want\ to\ choose\ 3\ of\ them.\\Here\ order\ matters\ (for\ example\ abc\ and\ acb\ are\ two\ different\ passwords) \\Hence\ we\ have\ to\ take\ permutation\ to\ count\ total\ possibilities.\\\\Total\ number\ of\ passwords=^4P_3\\\\Total\ number\ of\ passwords=\frac{4!}{(4-3)!}\\\\Total\ number\ of\ passwords=\frac{4!}{1!}\\\\Total\ number\ of\ passwords=24

3 0
4 years ago
Solve for x.<br> 4x - 36<br> 3x + 10
Anestetic [448]

Answer:

x = 46

Step-by-step explanation:

Since the angles are equal to each other, make the equations equal to each other.

4x - 36 = 3x + 10 and simplify

x - 36 = 10

x = 46

Hope this helps!

7 0
3 years ago
Use 913,256. write the digits in the ten thousand place
disa [49]
1 is in the 'Ten Thousand's' place.

8 0
4 years ago
Renaldo increased the image size on the computer screen by 20%. By
BartSMP [9]

Answer:

44%

Step-by-step explanation:

100 + 20 = 120/100

(1.2)^2=1.44

144 - 100 = 44%

3 0
3 years ago
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