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3 years ago

1. Solve the following proportion x/2 = 8/9

Mathematics

1 answer:

Ivanshal [37]3 years ago

5 0

X/2=8/9 | *2
x=16/9≈ 1,78

2. 1 $.........1,09 Euro
x$...........157 Euro

x=157*1/1,09≈144,04 $

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Steph,andra,emily,and becca are planning a road trip from their hometown to san antonio

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a. Emily should begin her turn as the third driver at point (1, -0.5).

b. Emily's turn to drive end at point (-2.5, -3.75).

Step-by-step explanation:

Let assume that the group of girls travels from their hometown to San Antonio in a straight line. We know that each location is, respectively:

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Then, we can determine the end of each girl's turn to drive by the following vectorial expression based on the vectorial equation of the line:

Steph

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$S(x,y) = (8,6) + \frac{1}{4}\cdot [(-6,-7)-(8,6)]$

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$A(x,y) = (8,6) + \frac{2}{4}\cdot [(-6,-7)-(8,6)]$

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$E(x,y) = H(x,y) + \frac{3}{4}\cdot [T(x,y)-H(x,y)]$ (3)

$E(x,y) = (8,6) + \frac{3}{4}\cdot [(-6,-7)-(8,6)]$

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a. <em>If the girls take turns driving and each girl drives the same distance, at what point should they stop from Emily to begin her turn as the third driver? </em>

Emily's beginning point is the Andra's stop point, that is, $A(x,y) =(1, -0.5)$ .

Emily should begin her turn as the third driver at point (1, -0.5).

b. <em>At what point does Emily's turn to drive end?</em>

Emily's turn to drive end at point (-2.5, -3.75).

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