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Alona [7]
3 years ago
15

Sarah is training for a bike race. she rides her bike 5 3/4 miles in 1/3 hour. what is Sarah's rate in miles per hour? Express y

our answer in a mixed number. show your work.​
Mathematics
2 answers:
ra1l [238]3 years ago
5 0

Answer:

17 1/4 miles per hour

Step-by-step explanation:

First let's convert the mixed number to a fraction so it is easier to work with:

5 3/4 = (5*4 + 3)/4 = 23/4 miles.

Because she travelled it in a third of an hour, she could do it 3 times in 1 hour.

Because of this to get speed we divide the distance by the time taken.

23/4 divided by 1/3 is the same as saying 23/4 times 3:

(3*23)/4 = 69/4 = 17 1/4 miles per hour

ankoles [38]3 years ago
4 0

Answer:

17 1/4

Step-by-step explanation:

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A. y - 3 = -(x + 5)

Step-by-step explanation:

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Using the given graph, you can see that the line is downhill, indicating a negative slope.  Starting at the y-intercept of -2 and going down two and over two to the point (2, -4) tells us the overall slope is '-1'.  You can also see that there is a point at (-5, 3) on the graph.  Using the slope (-1) and the point (-5, 3):

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4 years ago
What expression is equivalent to (-2+4i)+(1-7i)-(-8+5i)
S_A_V [24]
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4 0
3 years ago
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Find the slope intercept form.<br><br>passes through the points (4,3) and (7,-2)
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(\stackrel{x_1}{4}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{-2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{3}}}{\underset{run} {\underset{x_2}{7}-\underset{x_1}{4}}} \implies \cfrac{-2 -3}{7 -4} \implies \cfrac{ -5 }{ 3 }

\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{-\cfrac{5}{3}}(x-\stackrel{x_1}{4}) \\\\\\ y-3=-\cfrac{5}{3}x+\cfrac{20}{3}\implies y=-\cfrac{5}{3}x+\cfrac{20}{3}+3\implies y=-\cfrac{5}{3}x+\cfrac{29}{3}

3 0
2 years ago
A vendor sells hot dogs, bags of potato chips, and soft drinks. A customer buys 4 hot dogs, 3 bags of potato chips, and 4 soft d
makkiz [27]

Hi, Siyasi2 ! Let x = the number of hot dogs, y = the number of chips, and z = the number of drinks. Then we know:

 

5x + 4y + 5z = 15.75

x = y + 0.75

z = 2x - 1

 

Let's substitute the 3rd equation into the first one.  

 

5x + 4y + 5(2x - 1) = 15.75

5x + 4y+ 10x - 5 = 15.75

15x + 4y = 20.75

 

Now, let's re-write the 2nd equation as x - y = 0.75

 

We now have a system of two equations with two unknowns.

 

15x + 4y = 20.75

x - y = 0.75

 

To solve this, we can multiply the bottom equation by 4 and add.

 

15x + 4y = 20.75

+ 4(x - y = 0.75)

 

19x = 23.75

or x = 1.25

 

If x = 1.25, then using the one of the equations above, we can solve for y.

x - y = 1.25 - y = 0.75

.50 = y

 

Since z = 2x - 1, then z = 2(1.25) - 1 = 2.5 - 1 = 1.50

 

So, a hot dog is $1.25, chips are 50 cents, and a soft drink is $1.50. Please let me know if you have any questions.

5 0
3 years ago
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