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DedPeter [7]
3 years ago
7

Martin bikes at a constant speed to a finish line that is 15 mi away. After 20 mins, he is 10 mi from the finish line. After 30

mins, he is 7.5 mi from the finish line. If a graph shows his distance y from the finish line, in miles, after x minutes, what
Is the slope of the graph, and What does it represent?
A 15; Martin's initial distance
from the finish line
B 15; Martin's final distance from the finish line
C -0.25; the rate at which
Martin's distance from the
finish line changes per minute
D 0.25; the rate at which Martin's distance from the start line changes per minute
Mathematics
1 answer:
ankoles [38]3 years ago
5 0

The answer is C. -0.25; the rate at which Martin's distance from the finish line changes per minute

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Sove the equation and verify
Nostrana [21]

Let's break the equation in several step to make things more clear: first of all, the numerator of the left hand side simplifies to

\dfrac{2x}{3}-\dfrac{1}{2} = \dfrac{4x-3}{6}

Similarly, the denominator becomes

\dfrac{3x}{4}-\dfrac{1}{2} = \dfrac{3x-2}{4}

Dividing by a fraction means to multiply by the inverse of that fraction:

\dfrac{\frac{a}{b}}{\frac{c}{d}} = \dfrac{a}{b}\cdot\dfrac{d}{c}

So, in your case, we have

\dfrac{\frac{2x}{3}-\frac{1}{2}}{\frac{3x}{4}-\frac{1}{2}} = \dfrac{\frac{4x-3}{6}}{\frac{3x-2}{4}} = \dfrac{4x-3}{6}\cdot \dfrac{4}{3x-2} = \dfrac{2(4x-3)}{3(3x-2)} = \dfrac{8x-6}{9x-6}

So, the equation has become

\dfrac{8x-6}{9x-6} = \dfrac{4}{3}

Multiply both sides by 3(9x-6):

3(8x-6) = 4(9x-6) \iff 24x-18 = 36x-24

Subtract 24x from both sides, and add 18 to both sides:

36x-24x = 24-18 \iff 12x=6 \iff x = \dfrac{1}{2}

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3 years ago
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Answer:pts

Solve -11 2/3 * (-4 1/5)=49

Step-by-step explanation:

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Answer:

$12.96

Step-by-step explanation:

determine what the decimal form of 8% is

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⇒ $12.96

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