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Vladimir79 [104]
3 years ago
14

Carmen ran one mile in 7 minutes. At this rate, how long will it take her to run 5 miles?

Mathematics
1 answer:
Gala2k [10]3 years ago
3 0
It would take her 35 minutes to run 5 miles
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One of the roots of the equation 3x^2+7x−q=0 is −5. Find the other root and q.
statuscvo [17]

Answer: The answer is \textup{The other root is }\dfrac{8}{3}~\textup{and}q=40.Step-by-step explanation:  The given quadratic equation is[tex]3x^2+7x-q=0\\\\\Rightarrow x^2-\dfrac{7}{3}x-\dfrac{q}{3}=0.

Also given that -5 is one of the roots, we are to find the other root and the value of 'q'.

Let the other root of the equation be 'p'. So, we have

p-5=-\dfrac{7}{3}\\\\\\\Rightarrow p=5-\dfrac{7}{3}\\\\\\\Rightarrow p=\dfrac{8}{3},

and

p\times(-5)=-\dfrac{q}{3}\\\\\\\Rightarrow \dfrac{8}{3}\times 5=\dfrac{q}{3}\\\\\\\Rightarrow q=40.

Thus, the other root is \dfrac{8}{3} and the value of 'q' is 40.

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3 years ago
Sum of exterior angles in a equilateral triangle
poizon [28]

Answer:

In the case of the equilateral triangle, , the exterior angle, plus 60 equals 180. Subtracting 60 from both sides of this equation gives us a value of equal to 120. This means that the exterior angle of an equilateral triangle is equal to 120 degrees. The sum of all the exterior angles is always 360 degrees.

Step-by-step explanation:

8 0
3 years ago
An animal shelter has 24 puppies. If the puppies are 32% of the total dog and cat population, how many dogs and cats are in the
34kurt

population *32% = 24

population *.32 = 24

population = 24/.32

population = 75

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What is the image point of (-7,7) after a translation right 1 unit and down 3 units?
ZanzabumX [31]

Answer:

(-6, 4)

Step-by-step explanation

translation rule: (x+1,y-3)

(-7+1, 7-3)

(-6, 4)

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Given the equation below, find y when x = ½ . <br><br> Y = -6x -8 3
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When x=1/2

Y=-6x-83

Y=-6(1/2)-83

Y=-3-83

Y=-86

4 0
3 years ago
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