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Bogdan [553]
3 years ago
13

Dante runs 7 miles in 60 minutes. At the same rate, how many miles would he run in 24 minutes?

Mathematics
1 answer:
denis23 [38]3 years ago
3 0
<h2>Answer: 2.8 miles</h2>

Step-by-step:

We can write it in the proportion \frac{7}{60} = \frac{x}{24}

where x is our number of miles trying to find

We now cross multiply or use the butterfly method which I will demonstrate both

<h3>Cross Multiply</h3>

We multiply the numerator with the dominator

so 7 multiplied by 24

and 60 multiplied by x

7*24=60x

168=60x

\frac{168}{60} =\frac{60x}{60}

2.8=x or x=2.8

Now for the

<h3>Butterfly Method </h3>

You would do 7 times 24 divided by 60 or \frac{7*24}{60}

Then\frac{168}{60} simplify

2.8 so 2.8 miles in either method

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Associations In Data:Question 10
Karo-lina-s [1.5K]

Answer:

\bar X = \frac{62+63+68+72+79+80+83+93+94+95}{10}= 78.9

|62-78.9| = 16.9

|63-78.9| = 15.9

|68-78.9| = 10.9

|72-78.9| = 6.9

|79-78.9| = 0.1

|80-78.9| = 1.1

|83-78.9| = 4.1

|93-78.9| = 14.1

|94-78.9| = 15.1

|95-78.9| = 16.1

MAD = \frac{\sum_{i=1}^n |X_i -\bar X|}{n}

And replacing we got:

MAD =\frac{16.9+15.9+10.9+6.9+0.1+1.1+4.1+14.1+15.1+16.1}{10}= 10.12

And the best anwer is

10.12

Step-by-step explanation:

We have the following data given:

62 63 68 72 79 80 83 93 94 95

And we need to begin finding the mean with the following formula:

\bar X = \frac{\sum_{i=1}^n X_i}{n}

And replacing we got:

\bar X = \frac{62+63+68+72+79+80+83+93+94+95}{10}= 78.9

Now we can find the mean absolute deviation like this:

|62-78.9| = 16.9

|63-78.9| = 15.9

|68-78.9| = 10.9

|72-78.9| = 6.9

|79-78.9| = 0.1

|80-78.9| = 1.1

|83-78.9| = 4.1

|93-78.9| = 14.1

|94-78.9| = 15.1

|95-78.9| = 16.1

And finally we can find the mean abslute deviation with the following formula:

MAD = \frac{\sum_{i=1}^n |X_i -\bar X|}{n}

And replacing we got:

MAD =\frac{16.9+15.9+10.9+6.9+0.1+1.1+4.1+14.1+15.1+16.1}{10}= 10.12

And the best anwer is

10.12

8 0
3 years ago
What slope of 4x+8y=13 <br>please help !?
trasher [3.6K]
Use this website called mathpapa.com
It’s really helpful and completely free

Hope this helped!
5 0
3 years ago
Evaluate the function rule to find the range of each function for the domain.
aev [14]
F(x) = x^2 - 6x + 4               {-3, 0, 5}   (x, y) x is the domain, y is the range.

plug in the domain numbers into the equation to find the range.

y = x^2 - 6x + 4
y = -3^2 - 6(-3) + 4
y = 9 - (-18) + 4
y = 9 + 18 + 4
y = 31                        (-3, 31)

y = x^2 - 6x + 4
y = 0^2 - 6(0) + 4
y = 0 - 0 + 4
y = 4                       (0, 4)

y = x^2 - 6x + 4
y = 5^2 - 6(5) + 4
y = 25 - 30 + 4
y = -1                       (5, -1)

c. {-1, 4, 31}

hope this helped, God bless!
5 0
3 years ago
16. Hamster Heaven charges an annual fee of $20 plus $2.50 for each day of hamster
Ludmilka [50]

Answer:

hamster heaven

y=20+2.5x

hamster fun world

y=35+x

Step-by-step explanation:

by solving we get

x=10

y=45

by comparing the graph hamster fun world 8s cheaper on the long run

Mark Me Brainliest

8 0
2 years ago
X+2&gt;7 write the solution set in interval notation
REY [17]

Answer:

(5, infinitysymbol)

Step-by-step explanation:

First solve the inequality. Subtract 2 from both sides.

x + 2 > 7

x > 5

So that is one way of writing the answer and it is hopefully kind of understandable. X>5 means all the numbers greater (bigger) than 5, forever to infinity.

Interval notation is a way of writing a set or group of numbers. Interval notation uses ( ) parenthesis or [ ] square brackets. Then two numbers go inside with a comma in between. The first number is where the set of numbers start and the second number is where the set ends. You always put parenthesis around the infinity symbol or negative infinity symbol. You only use a square bracket if the inequality symbols have the "or equal to" underline under the > or <.

So x > 5 in interval notation is:

(5, infinitysymbol)

This shows that 5 is not included in the solution; and all the numbers forever bigger than five are solutions as well.

5 0
1 year ago
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