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Ber [7]
4 years ago
7

Please answer asap and show work.

Mathematics
1 answer:
rusak2 [61]4 years ago
6 0

The solution is: (6,0)

Step-by-step explanation:

Given equations are:

x+6y = 6\\y = \frac{1}{3}x-2

<u>Part A:</u>

The graph is made using the online tool Desmos.

The graph is attached as a picture

<u>Part B: Solution from graph:</u>

On the graph we can see that both lines intersect at (6,0)

So the solution is x=6 and y=0

<u>Part C: Algebraic Verification</u>

x+6y = 6\ \ \ \ Eqn1\\y = \frac{1}{3}x-2\ \ \ \ Eqn2

Putting y= 1/3x-2 in equation 1

x+ 6(\frac{1}{3}x-2) = 6\\x + 2x-12 = 6\\3x -12 = 6

Adding 12 on both sides

3x-12+12 = 6+12\\3x = 18

Dividing both sides by 3

\frac{3x}{3} = \frac{18}{3}\\x = 6

Putting x = 6 in equation 2

y = \frac{1}{3}(6)-2\\y = 2-2\\y = 0

Hence,

The solution is: (6,0)

Keywords: Graphing, linear equations

Learn more about linear equations at:

  • brainly.com/question/10666510
  • brainly.com/question/10699220

#LearnwithBrainly

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Burka [1]

3. They sold 250 pizzas last week.

4. There are 80 tropical fish in the shipment.

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Step-by-step explanation:

3. Uncle Gino's Pizza Parlor sold 200 sausage  pizzas last week. That was 80% of the total  pizzas they sold. How many total pizzas  did they sell last week?

Given,

Pizzas sold last week = 200

This represents 80% of total pizzas sold.

Let,

x be the total pizzas sold.

80% of x = 200

\frac{80}{100}x=200\\0.8x=200

Dividing both sides by 0.8

\frac{0.8x}{0.8}=\frac{200}{0.8}\\x=250

They sold 250 pizzas last week.

4. The local pet store received a shipment of tropical fish. Seventy-five percent of  the tropical fish were clown-fish. If the  shipment included 60 clown-fish, how many  total tropical fish were in the shipment?

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Number of clown-fish in shipment = 60

This represents 75% of total shipment.

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Number of students who preferred cats = 45

This represents 30% of total students surveyed.

Let, x be the number of total students surveyed.

30% of x = 45

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Dividing both sides by 0.3

\frac{0.3x}{0.3}=\frac{45}{0.3}\\ x=150

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6. Kara has downloaded 250 megabytes of  a file onto her computer. The screen tells  her that this is 25% of the total file. How  many megabytes is the file?

Given,

File downloaded = 250 MB

This represents the 25% of total size of file.

Let, x be the total size of file.

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Dividing both sides by 0.25

\frac{0.25x}{0.25}=\frac{250}{0.25}\\x=1000

The total size of file is 1000 megabytes.

Keywords: percentage, division

Learn more about percentages at:

  • brainly.com/question/10552347
  • brainly.com/question/10570041

#LearnwithBrainly

6 0
3 years ago
Help please i will thank you a lot.
ANEK [815]
Your answer would be (6,8)
4 0
3 years ago
Again, please help if you can (:
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The answer is 10490 kl/m
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