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3 years ago

Megan hiked 15.12 miles in 6.3 hours. If Megan hiked the same number of miles each hour , how many miles did she hike each hour?

1 answer:

7 0

To find how many miles per hour, we divide the number of miles hiked by the number of hours it took to hike them.

=15.12 miles ÷ 6.3 hours
=2.4 miles hiked per hour

Hope this helps! :)

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Student to faculty is 17:3 The total is 740 how many students and faculty are at the college

inn [45]

Let the faculties be X and the number of students be Y.
X/Y = 17/3
3X= 17Y
X=17Y/3
Let that be equation 1
We also know that X+Y = 740. Let it be equation 2
Substitute equation 1 in equation 2
(17Y/3)+Y= 740
20Y/3 = 740
Y=111
Since the total is 740, then X equal 740-111 =629.
The number of faculties is 111 and the number of students is 629.

7 0

3 years ago

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choose the equation that shows a step in the process of completing the square on the given quadratic. y = x2 8x – 3 y = x2 8x 8

posledela

Y = x^2 + 8x - 3
y = x^2 + 8x + (8/2)^2 - 3 - (8/2)^2
y = x^2 + 8x + 16 - 3 - 16

3 0

3 years ago

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Which best describes the graphs of the line that passes through (−12, 15) and (4, −5), and the line that passes through (−8, −9)

konstantin123 [22]

Answer:

C) They are perpendicular lines.

Step-by-step explanation:

We first need to find the slope of the graph of the lines passing through these points using:

$m = \frac{y_2-y_1}{x_2-x_1}$

The slope of the line that passes through (−12, 15) and (4, −5) is

$m_{1} = \frac{ - 5 - 15}{4 - - 12}$

$m_{1} = \frac{ - 20}{16} = - \frac{5}{4}$

The slope of the line going through (−8, −9) and (16, 21) is

$m_{2} = \frac{21 - - 9}{16 - - 8}$

$m_{2} = \frac{21 + 9}{16 + 8}$

$m_{2} = \frac{30}{24} = \frac{5}{4}$

The product of the two slopes is

$m_{1} \times m_{2} = - \frac{4}{5} \times \frac{5}{4} = - 1$

Since

$m_{1} \times m_{2} = - 1$

the two lines are perpendicular.

4 0

3 years ago

Read 2 more answers

The range of the following relation R {(3, −2), (1, 2), (−1, −4), (−1, 2)}

Oxana [17]

I think the rang numbers are -2 , 2 , -4 , and 2. i hope that correct.

8 0

3 years ago

Find f(x) and g(x) so that the function can be described as y = f(g(x)). (5 points) y = eight divided by square root of quantity

zubka84 [21]

Answer:

f(x) = 8/√x
g(x) = 2x+4

Step-by-step explanation:

For this sort of problem, there can be an infinite number of answers.

It can be convenient to choose one of the simpler answers by looking at the operations that are performed on the variable. Here, you have ...

2 multiplies it
4 is added to the product
the square root is taken
8 is divided by that root

You can work from the bottom up and define the outer function (f(x)) to be any of these operations. In our answer above, we have elected to include the "square root" and the "8 divided by that root" in our definition of f.

Then our function g takes care of the other operations.

6 0

3 years ago