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sasho [114]
3 years ago
10

Question 8

Mathematics
1 answer:
yanalaym [24]3 years ago
7 0
Answer: use google dot com
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5.3.4 Journal: Two-Variable Systems Elimination <br><br> I need urgent help
max2010maxim [7]

Answer:

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?

X stands for individual acts and y,  group acts.

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.

Yes, that's right. Each scenario describes a different period in minutes, but each one respecting their different amounts (individual and group acts). Either for 120 minutes or 30 minutes length. And their sum totalizing the whole period.

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 \}

8 0
3 years ago
What is the total surface area
Stels [109]

We have two right triangles and three different rectangles.

The formula of an area of a right triangle:

A_T=\dfrac{1}{2}l_1l_2

l₁, l₂ - legs

We have l₁ = 20cm and l₂ = 21cm. Substitute:

A_T=\dfrac{1}{2}(20)(21)=(10)(21)=210\ cm^2

The formula of an area of a rectangle:

A_R=lw

l - length

w - width

We have:

rectangle #1: l = 22cm, w = 29cm

A_{R1}=(22)(29)=638\ cm^2

rectangle #2: l = 22cm, w = 21cm

A_{R2}=(22)(21)=462\ cm^2

rectangle #3: l = 22cm, w = 20cm

A_{R3}=(22)(20)=440\ cm^2

The total Surface Area of the triangular prism:

S.A.=2A_T+A_{R1}+A_{R2}+A_{R3}\\\\S.A.=2\cdot210+638+462+440=1960\ cm^2

3 0
3 years ago
What’s the triangle congruence shortcut
mina [271]

Answer:

D. All those resources can be found in Africa

7 0
3 years ago
Read 2 more answers
Coach McGee uses the table to show her team’s current basketball shot average compared to previous years.
Yuri [45]

Answer:

Its B.

Step-by-step explanation:

It said so.

3 0
3 years ago
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How to graph from linear standered form 2x-6y=12?​
Alexus [3.1K]

Answer:

See graph below for answer

Step-by-step explanation:

Step 1) Change to y-intercept form

6y = 2x - 12

y = 1/3x - 2

Step 2) Graph.

See graph below for answer

3 0
3 years ago
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