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Ymorist [56]
3 years ago
6

Solve the equation 6.7x = 5.2x + 12.3

Mathematics
1 answer:
Anna [14]3 years ago
7 0

Answer:

x = 8.2

Step-by-step explanation:

6.7x = 5.2x + 12.3

6.7x - 5.2x = 12.3

1.5x = 12.3

x = 8.2 =  \frac{41}{5}  = 8 \frac{1}{5}

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Alanah is picking up two friends to go to a concert. She drives from her house to pick up Mia, then she drives to pick up Teresa
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Answer:

Total distance = 30.3 units

Step-by-step explanation:

Coordinates for the location of Alanah, Mia, Teresa and Arena are,

Alanah → (2, 8)

Mia → (8, 16)

Teresa → (8, 2)

Arena → (14, 4)

Distance between two points (x_1,y_1) and (x_2,y_2) is given by the formula,

d = \sqrt{(y_2-y_1)^2+(x_2-x_1)^2}

Distance between Alanah and Mia = \sqrt{(16-8)^2+(8-2)^2}

                                                          = \sqrt{100}

                                                          = 10 units

Distance between Mia and Teresa = \sqrt{(16-2)^2+(8-8)^2}

                                                          = 14 units

Distance between Teresa and Arena = \sqrt{(4-2)^2+(14-8)^2}

                                                              = \sqrt{40}

                                                              = 6.3 units

Total distance of Alanah's trip to Arena = 10 + 14 + 6.3

                                                                  = 30.3 units

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