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Ganezh [65]
3 years ago
11

A white tailed deer can sprint at speeds up to 30 miles per hour. American bison can run at speeds up to 3,520 feet per minute.

Which animal is faster and by how many miles per hour? There are 5,280 feet in one mile
Mathematics
1 answer:
bogdanovich [222]3 years ago
5 0

Answer:

the Bision is 10 miles / hour faster if he could keep it up

Step-by-step explanation:

There are 60 minutes in an hour.

Therefore the bison can run [3520 feet / min] * [60 min ] =211288 feet in an hour.

Now you have to convert 212200 to miles. Do this by dividing by 5280

212200/5280 = 40 miles.

Kind of hard to believe isn't it. 40 miles is a long way when you are running it.

The bison is faster by 10 miles / hour.

This can be done all in 1 step if you know how to do dimensional analysis

3520 feet / minute * [ 60 min/ hour ] * [ 1 mile / 5280 feet] = 40 miles

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Mei has 8 jars of soup. Each jar contains 300 milliliters of soup. What is the smallest pot Mei can use to heat all the soup.[PL
Kobotan [32]

Answer: A pot of 2400ml

Step-by-step explanation: Ok, mei has 8 jars, and each jar has 300ml of soup, so the total amount of soup is 8 times 300ml

N = 8*300ml = 2400ml

So the smallest pot that mei can use to heat the soup is a pot that has exactly that volume. 2400ml, (discarding the fact that the volume of the soup will change as it is heated up)

7 0
4 years ago
If p=(-3,-2) and q=(1,6) are the endpoints of the diameter of a circle find the equation of the circle
stira [4]

Answer:

<em>The equation of the circle   (x +1) )² +(y-(2))² = (2(√5))²</em>

<em>   or </em>

<em>The equation of the circle    x² + 2 x + y² - 4 y  = 15</em>

<u>Step-by-step explanation:</u>

Given points end  Points are p(-3,-2) and q( 1,6)

<em>The distance of two points formula</em>

P Q = \sqrt{x_{2} - x_{1})^{2} + ((y_{2} -y_{1})^{2}   }

P Q = \sqrt{1 - (-3)^{2} + ((6 -(-2))^{2}   }

P Q = \sqrt{16+64} = \sqrt{80}

<em>The diameter 'd' = 2 r</em>

                       2 r = √80

                            = \sqrt{16 X 5}

                           = 4 \sqrt{5}

                     <em> r =  2√5</em>

<em>Mid-point of two end points </em>

<em>                        </em>(\frac{x_{1} + x_{2} }{2} , \frac{y_{1} +y_{2} }{2} ) = (\frac{-3+1}{2} ,\frac{-2 +6}{2} )<em></em>

<em>                                               = (-1 ,2)</em>

<em>Mid-point of two end points = center of the circle</em>

<em>                                     (h,k) = (-1 , 2)</em>

                 

The equation of the circle

           (x -h )² +(y-k)² = r²

<em>          (x -(-1) )² +(y-(2))² = (2(√5))²</em>

<em>         x² + 2 x + 1 + y² - 4 y + 4 = 20</em>

<em>          x² + 2 x + y² - 4 y  = 20 -5</em>

<em>           x² + 2 x + y² - 4 y  = 15</em>

<u><em>Final answer</em></u><em>:-</em>

<em>The equation of the circle   (x +1) )² +(y-(2))² = (2(√5))²</em>

<em>   or </em>

<em>The equation of the circle    x² + 2 x + y² - 4 y  = 15</em>

<em>                  </em>

6 0
4 years ago
Your typical markup for merchandise is 40%. your cost on an item is $8.00. calculate the selling price.
adoni [48]
The selling price would be $11.20.

40% = 40/100 = 0.4

The mark up is 40% of the cost; this means 40% of 8:

40% of 8 = 0.4(8) = 3.20
8 + 3.20 = 11.20
6 0
4 years ago
A, B, C, and D have the coordinates (-8, 1), (-2, 4), (-3, -1), and (-6, 5), respectively. Which sentence about the points is tr
MA_775_DIABLO [31]
Hmm... maybe it's E? I'm not 100% sure.
3 0
4 years ago
Read 2 more answers
2. If GFE~GJH, find the value of FG.<br> ​
Alex73 [517]

Answer:

  • 77 units

Step-by-step explanation:

Given two similar triangles.

Corresponding parts of similar figures have same ratio.

<u>Use ratios to find the value of x:</u>

  • (4x - 5)/(x + 7) = 35/12.5
  • (4x - 5)/(x + 7) = 14/5
  • 5(4x - 5) = 14(x + 7)
  • 20x - 25 = 14x + 98
  • 20x - 14x = 98 + 25
  • 6x = 123
  • x = 123/6
  • x = 20.5

<u>Find the value of FG:</u>

  • FG = 4*20.5 - 5 = 77

5 0
3 years ago
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