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Aneli [31]
2 years ago
13

tom run cross country. he runs 5 miles in 35 minutes. he runs 20 miles in 140 minutes if he keeps the same pace how long will it

take him to run 15 miles?
Mathematics
2 answers:
SSSSS [86.1K]2 years ago
5 0

Answer:

105 Minutes

Step-by-step explanation:

Important Info:

5 Miles = 35 Minutes

20 Miles = 140 Minutes

Question to answer:

15 Miles = [ ? ]

Explanation/Solution:

Since 35/5=7 and 140/20 = 7

So 15 x 7 = 105

Hence, the answer is 105 Minutes.

Note: Velocity = Distance/Time and Time = Distance/Velocity

OleMash [197]2 years ago
3 0

Answer:

105

Step-by-step explanation:

5 ÷ 35 = 7

140 ÷ 20 = 7

15 · 7 = 105

I hope this helps!

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Graph the circle x^2+y^2+2x+4y-44=0
Natasha_Volkova [10]

Answer:

See explanation

Step-by-step explanation:

First, convert this to standard form. By completing the square, you can do the following:

(x^2+2x+1)-1+(y^2+4y+4)-4-44=0

(x+1)^2+(y+2)^2=49

This is a circle with center (-1,-2), and radius 7. It looks like the one I graphed below. Hope this helps!

6 0
3 years ago
What is the probability of choosing a card from a deck of cards that is a heart or a nine? ​
Mila [183]
8 out of 52. There are 4 nine cards and 4 heart cards. There are 52 cards in the standard deck. So it is an 8 out of 52 chance that you will choose either a heart or a nine.
3 0
3 years ago
the eccentricity of a hyperbola is defined as e=c/a. find an equation with vertices (1,-3) and (-3,-3) and e=5/2
Ksivusya [100]

Answer:

\frac{(x + 1 )^{2} }{4} - \frac{(y + 3 )^{2} }{21} = 1.

Step-by-step explanation:

If (α, β) are the coordinates of the center of the hyperbola, then its equation of the hyperbola is \frac{(x - \alpha )^{2} }{a^{2} } - \frac{(y - \beta )^{2} }{b^{2} } = 1.

Now, the vertices of the hyperbola are given by (α ± a, β) ≡ (1,-3) and (-3,-3)

Hence, β = - 3 and α + a = 1 and α - a = -3

Now, solving those two equations of α and a we get,  

2α = - 2, ⇒ α = -1 and

a = 1 - α = 2.

Now, eccentricity of the hyperbola is given by b^{2} = a^{2}(e^{2}  - 1) = 4[(\frac{5}{2} )^{2} -1] = 21 {Since e = \frac{5}{2} given}

Therefore, the equation of the given hyperbola will be  

\frac{(x + 1 )^{2} }{4} - \frac{(y + 3 )^{2} }{21} = 1. (Answer)

6 0
3 years ago
Fastest answer gets brainiest !
saveliy_v [14]

Answer:

  • A. 1/16

Step-by-step explanation:

<u>The most repeated value is:</u>

  • (1/4)/4 = 1/16

There are 4 of them.

Correct choice is A

3 0
3 years ago
A ray is a portion of a line that begins at a point and extends endlessly in one direction.
viva [34]

Answer: T

Step-by-step explanation:

cuz i practice geometry.

4 0
3 years ago
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