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Brilliant_brown [7]
3 years ago
10

The trail around the lake us 7 kilometers long it takes Manuel 35 minutes to run the trail what is his unit rate

Mathematics
2 answers:
mamaluj [8]3 years ago
7 0
7 kilometers ... 35 minutes
1 kilometer ... x minutes = ?

If you would like to know what is his unit rate, you can calculate this using the following steps:

7 * x = 35 * 1
7 * x = 35    /7
x = 35/7
x = 5 minutes

The correct answer would be 5 minutes.
Alja [10]3 years ago
7 0
Firstly, we need to convert minutes into hours. To do this, we need to do 35/60 which is 0.583. To find how many KM he travels per hour we can do 7 x 0.583 which is 4.083. Manuel travels at about 4.083 km/h. 
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Step-by-step explanation:

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3 years ago
16. Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.
il63 [147K]

Answer:

Given equation are:

y = -\frac{1}{4}x+8                  ......[1]

-2x+8y = 4                             .....[2]

  • The two lines are parallel lines then their slopes will be equal.
  • When two lines are perpendicular then, the slope of lines are the negative reciprocals of each other.

Now, Equation of a line is in the form of y =mx+b where m is the slope of the line.

Slope(m_1) of equation of line in [1] is;

y = -\frac{1}{4}x+8  

then;

m_1= -\frac{1}{4}

Slope(m_2) of equation of line in [2];

-2x+8y = 4

Add both sides 2x we get;

-2x + 8y + 2x = 2x + 4

Simplify:

8y = 2x +4

Divide both sides by 8 we get;

y = \frac{1}{4} x + \frac{1}{2}

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m_2 = \frac{1}{4}

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4 0
3 years ago
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Wittaler [7]

Answer:

1). y = -4/7x         2). y = 7/4x - 65/4

Step-by-step explanation:

1). When a line is parallel, the slope remains the same.

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-4 = -4/7(7) + b

-4 = -4 + b

0 = b

The equation is simply y = -4/7x.

2). When a line is perpendicular, the slope becomes the exact opposite.

y = 7/4x + b

-4 = 7/4(7) + b

-4 = 49/4 + b

-65/4 = b

The equation is y = 7/4x - 65/4.

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2 years ago
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sergij07 [2.7K]

Answer:

should be easy just plot the points

Step-by-step explanation:

we don't have the chart, though.

7 0
2 years ago
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