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Dmitrij [34]
3 years ago
5

1)Split 36 into the ratio 5:4

Mathematics
2 answers:
daser333 [38]3 years ago
8 0
6,9,19,26,68 so yeah
fredd [130]3 years ago
5 0

Add the two ratio numbers together then divide the original by that.

Then multiply that answer by each ratio number.

1)Split 36 into the ratio 5:4

5+4 = 9

36/9 = 4

5*4 = 20

4 * 4 = 16

It is split 20:16

2)split 45 into the ratio 7:2

7+2 = 9

45 / 9 = 5

7 *5 = 35

2*5 = 10

It is split

35:10

3)split 112 into the ratio 5:9

5 +9 = 14

112 / 14 = 8

5*8 = 40

9*8 = 72

It is split 40:72

4)split 66 into the ratio 4:7

4+7 = 11

66/11 = 6

4*6 = 24

7*6 =42

It is split 24:42

5)split 42 into the ratio 5:2

5+2 = 7

72 / 7 = 6

5*6 = 30

2*6 = 12

It is split 30:12

6)split 65 into the ratio 7:6

7+6 = 13

65 / 13 = 5

7 *5 = 35

6*5 = 30

It is split 35:30

7)split 99 into the ratio 4:7

4+7 = 11

99 / 11 = 9

4*9 = 36

7 *9 = 63

It is split 36:63

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1) X stands for individual acts and y,  group acts. 2) Each scenario describes a different period in minutes, but each one respecting their different amounts (individual and group acts). 3) S=\left \{ 5,10 \right \}

Step-by-step explanation:

Completing with what was found:

<em> 1) Here is a summary of the scenario your classmate presented for the talent show:Main show The main show will last two hours and will include twelve individual acts and six group acts.Final show The final show will last 30 minutes and will include the top four individual acts and the top group act.The equations he came up with are: 12x+ 6y= 120, 4x+ y= 30</em>

1. What do x and y represent in this situation?

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Besides that, In the system of equation, they represent the time for x, and the time for y.

2. Do you agree that your classmate set up the equations correctly? Explain why or why not.

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3. Solving the system by Elimination

\left\{\begin{matrix}12x+ 6y= 120\\ 4x+ y= 30\end{matrix}\right.\\\left\{\begin{matrix}12x+ 6y= 120\\ 4x+ y= 30\:*(-3)\end{matrix}\right.\\\left\{\begin{matrix}12x+ 6y= 120\\ -12x+ -3y= -90\end{matrix}\right.\\3y=30\Rightarrow y=10\\4x+(10)=30\Rightarrow 4x=20\Rightarrow x=5\\S=\left \{ 5,10 \right \}

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