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qwelly [4]
3 years ago
8

Doug entered a canoe race. He rowed 3 1/2 miles in 1/2 hour. What is his average speed in miles per hour ?

Mathematics
2 answers:
Alex787 [66]3 years ago
5 0
3 1/2 miles = 7/2 miles
1/2 hours= 30 minutes
So,
In 30 mins, travelled 7/2 miles
In 1 min, travelled 7/2 ÷ 30= 7/2× 1/30 = (7×1)/(2×30) = 7/60 miles
In 60 mins, travelled (7×60)/60 miles = 420/60 miles = 7 miles.
Hence, the speed is 7 miles per hour.
UkoKoshka [18]3 years ago
5 0

Answer:

Doug's average speed is 7 miles per hour.

Step-by-step explanation:

Average speed is defined as ratio of total distance to the total time taken to cover the total distance.

Distance covered by Doug ,D=3\frac{1}{2} miles=\frac{7}{2} miles

Time taken to cover the distance D = T= \frac{1}{2} hour

Average speed :

=\frac{D}{T}=\frac{\frac{7}{2} miles}{\frac{1}{2} hour}=7 miles/hour

Doug's average speed is 7 miles per hour.

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One of the students in the class scored 100 on the midterm but got overconfident, slacked off, and scored only 15 on the final e
miss Akunina [59]

Answer:

Increase

Step-by-step explanation:

Since your not including the bad mark, it'd increase.

3 0
3 years ago
What is the coordinates of the center of an ellipse defined by the equation 16x^2 + 25y^2 + 160x - 200y + 400 = 0 ? Please give
pickupchik [31]

16x^2 + 25y^2 + 160x - 200y + 400 = 0     Rearrange and regroup.

(16x^2 + 160x) + (25y^2 - 200y ) = 0-400.     Group the xs together and the ys together.

16(X^2 + 10x) + 25(y^2-8y) = -400.     Factorising.

We are going to use completing the square method.

Coefficient of x in the first expression = 10.

Half of it = 1/2 * 10 = 5. (Note this value)

Square it = 5^2  = 25.     (Note this value)


Coefficient of y in the second expression = -8.

Half of it = 1/2 * -8 = -4. (Note this value)

Square it = (-4)^2  = 16. (Note this value)


We are going to carry out a manipulation of completing the square with the values

25 and 16.  By adding and substracting it.


16(X^2 + 10x) + 25(y^2-8y) = -400

16(X^2 + 10x + 25 -25) + 25(y^2-8y + 16 -16) = -400

Note that +25 - 25 = 0.    +16 -16 = 0. So the equation is not altered.

16(X^2 + 10x + 25) -16(25) + 25(y^2-8y + 16) -25(16) = -400


16(X^2 + 10x + 25) + 25(y^2-8y + 16)  = -400 +16(25) + 25(16)    Transferring the terms -16(25) and -25(16)

to other side of equation.  And 16*25 = 400


16(X^2 + 10x + 25) + 25(y^2-8y + 16)  = 25(16)


16(X^2 + 10x + 25) + 25(y^2-8y + 16)  = 400

We now complete the square by using the value when coefficient was halved.


16(x-5)^2 + 25(y-4)^2  = 400

Divide both sides of the equation by 400


(16(x-5)^2)/400 + (25(y-4)^2)/400  = 400/400              Note also that, 16*25 = 400.


((x-5)^2)/25 + ((y-4)^2)/16  = 1

((x-5)^2)/(5^2) + ((y-4)^2)/(4^2)  = 1


Comparing to the general format of an ellipse.

((x-h)^2)/(a^2) + ((y-k)^2)/(b^2)  = 1


Coordinates of the center = (h,k).

Comparing   with above   (x-5) = (x - h) , h = 5.

Comparing   with above   (y-k) = (y - k) , k = 4.

Therefore center = (h,k) = (5,4).

Sorry the answer came a little late.  Cheers.

3 0
3 years ago
An equation is shown<br> 27+18 (3+2)<br> What factor is missing from the equation?
yarga [219]
\mathbb{\pink{\huge{Hello\:Mate!!}}}

Answer

Equal sign is missing out there.

Step-by-step explanation.

If it is an equation, there must be equal sign present. It means, we are equating something. If there is equal sign, then it can't be an equation.

Thanks....!

With♥️
5 0
3 years ago
Read 2 more answers
Please help me with the question ...thank u!
LiRa [457]

Answer:

7

Step-by-step explanation:

To solve this use the expression PEMDAS

So first we do what is in parenthesis

  • -10 + 6 = -4

Then . .

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√41 = 6.4 rounded to the tenth

round to the nearest whole number = 7

5 0
2 years ago
Which is true about multiplying integers?
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The answer is C
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