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Ne4ueva [31]
3 years ago
9

Graph the system of equations on graph paper. {8x+6y=482x−3y=−6 Which statements are true about the solution to the system of eq

uations? Select each correct answer.
The x-coordinate of the solution is 3.
The y-coordinate of the solution is 3.
The ordered pair that is the solution to the system lies in Quadrant I .
The y-coordinate of the solution is 4.
The ordered pair that is the solution to the system lies in Quadrant II .
The x-coordinate of the solution is −3 .

PLEASE HELP!!
Mathematics
1 answer:
GuDViN [60]3 years ago
6 0

Answer:

The answers are that the x-coordinate is 3, the y-coordinate is 4 and it is in quadrant I

Step-by-step explanation:

To find these answers, start by solving the system. We can do this by multiplying the second equation by 2 and adding them together.

8x + 6y = 48

4x - 6y = -12

-------------------

12x = 36

x = 3

Next, find the y value by plugging in the x value to either equation and solving.

2x - 3y = -6

2(3) - 3y = -6

6 - 3y = -6

-3y = -12

y = 4

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Jordan bikes at a speed of 8 2/3 mph. How many miles will he bike in 3 hours and 6 minutes?
Daniel [21]

Jordan will cover 26\frac{13}{15}\ miles in 3 hours and 6 minutes.

Step-by-step explanation:

Given,

Speed of Jordan = 8\frac{2}{3}=\frac{26}{3}\ mph

Time = 3 hours and 6 minutes.

Converting minutes into hour.

6 minutes = \frac{6}{60}\ hour = \frac{1}{10}\ hour

Therefore;

Time = 3+\frac{1}{10} = \frac{30+1}{10} = \frac{31}{10}\ hours

Distance = Speed * Time

Distance = \frac{26}{3}*\frac{31}{10}

Distance = \frac{806}{30}=\frac{403}{15}

Distance = 26\frac{13}{15}\ miles

Jordan will cover 26\frac{13}{15}\ miles in 3 hours and 6 minutes.

Keywords: fraction, multiplication

Learn more about fractions at:

  • brainly.com/question/711343
  • brainly.com/question/7027848

#LearnwithBrainly

8 0
4 years ago
The dimensions of a rectangular dining room are 18 feet by 16 feet. If a scale factor of 1/4 is used to make a scale model of th
vivado [14]
Since the dimension of the scale model is fourth of dimensions of the room, divide by 4 the given dimensions.

                  new dimensions:
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                               = 16 ft / 4 = 4 ft

The area is calculated by multiplying the dimensions,
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Therefore, the area of the scale model is equal to 18 ft². 
5 0
4 years ago
Jill and Erika made 4 gallons of lemonade for their lemonade stand. How many quarts did they make if then charge $2:00 per quart
notka56 [123]

Answer:

Number of quarts=16

Money earned=$32

Step-by-step explanation:

Given

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  • They charge $2 for a quart

1 Gallon= 4 Quarts

Therefore Number of quarts

= \text{number of gallons} \times 4\\= 4 \times 4\\=16

Therefore Number of quarts of lemonade prepared by them = 16 quarts

As they charge $2 for each quart

⇒

Total money made if they sell it all

=\text{number of quarts} \times 2\\= 16 \times 2\\=32

Therefore, if they are to sell all the lemonade that they prepared

They would earn=$32

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Step-by-step explanation: C is the answer

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