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astra-53 [7]
3 years ago
5

Will crown brainliest

Mathematics
1 answer:
Free_Kalibri [48]3 years ago
8 0

Answer: B)

Step-by-step explanation:

If y = z then replace z for y in the second equation.

2 y + z = 12

2y + y = 12

3y = 12

y = 4

This also means z = 4.

Insert both of these values into the first equation:

x + y + z = 8 + 2sqr3

x + 4 + 4 = 8 + 2sqr3

x + 8 = 8 + 2sqr3

x = 2sqr3

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PLEASE HELP I WILL GIVE BRAINLIEST
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$67

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There is a competition in the cinema to win free tickets. You must guess the ages of the four employees. Here are the clues: - W
jenyasd209 [6]

Answer:

Kirk is <u>28</u> years old, Brian is <u>36</u> years old, Matt is <u>18</u> years old, and the manager is <u>24</u> years old.

Step-by-step explanation:

Let k be Kirk's age.

Let b be Brian's age.

Let m be Matt's age.

Let m_{1} be the boss/manager's age.

From the information given, we can set up 4 equations:

k+b+m+m_{1}=106

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Rewrite the first equation, substituting k, b, and m in terms of m_{1} to get:

2(m_{1}-10)+(2m_{1}-12)+(\frac{1}{2}m_{1}+6)+m_{1}=106

Open up the parentheses using the distributive property (which is a(b-c)=ab-ac) and combine like terms to get:

5.5m_{1}-26=106

Add 26 to both sides to reach:

5.5m_{1}=132

Thus, m_{1}=24. Substitute 24 for m_{1} in the second, third, and fourth original equations to find that k=28, b=36, and m=18. Therefore, Kirk is <u>28</u> years old, Brian is <u>36</u> years old, Matt is <u>18</u> years old, and the manager is <u>24</u> years old. To check, you can add up all of the ages to get 106.

Hope this helps :)

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