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hoa [83]
3 years ago
6

A circular running track is 1/2 mile long. Elena runs on this track completing each lap in 6 minutes how long will it take Elena

to run 3 miles?
Mathematics
1 answer:
Rainbow [258]3 years ago
7 0

Answer:

36 mins

Step-by-step explanation:

0.5 miles/6 mins = 3 miles/x mins

In order to convert the ratio from 0.5 miles to 3 miles, 0.5 was multiplied by 6. Therefore, to keep the ratio the same, 6 minutes must also be multiplied by 6 to find x. This means the answer is:

3 miles/36 mins

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A lake has 10,000 fish.when a fishman scoops up his net ,he catches 500 fish. Suppose 150 of the 500 fish in his net are salmon.
Inessa [10]
You need x 20 to get to 10000, so do the same with 150 and get 3000, so it is 3000/10000
8 0
3 years ago
Read 2 more answers
Find the Volume of this Octagonal Pyramid.<br> "B" represents the Area of the octagon base.
Dominik [7]

Answer:

7.06 x 10^(-7) ft 3

Step-by-step explanation:

We have the formula to calculate the volume of an octagonal Pyraamid as following:

<em>+) Volume of octagonal pyramid = 1/3 * Area of the base * Height</em>

As given, the base of the pyramid is an octagon with area equal to 15mm2

=> Area of the base = 15 mm2

The height of the pyramid is the length of the line segment which is perpendicular to the base - which is the red line.

=> Height = 4mm

So we have:

<em>Volume of octagonal pyramid = 1/3 * Area of the base * Height</em>

<em>= 1/3 * 15 * 4 = 20 mm3</em>

<em />

As: 1 mm3 = 3.53 x 10^(-8) ft 3

=> 20 mm3 = 7.06x10^(-7) ft 3

So the volume of the pyramid is :  7.06 x 10^(-7) ft 3

6 0
3 years ago
What is the product?
sveticcg [70]

Answer:

third answer is correct

Step-by-step explanation:

hello,

we need to compute

5*(-1)+(-2)*(-1)=-5+2=-3

-6*(-1)+(2)*(-1)=6-2=4

so the correct answer is

   -3

    4

hope this helps

8 0
3 years ago
2. The robot was initially placed at position (6,9), and at = 2 seconds, its position is (10,15).
qaws [65]
\bf ~~~~~~~~~~~~\textit{distance between 2 points}&#10;\\\\&#10;\begin{array}{ccccccccc}&#10;&&x_1&&y_1&&x_2&&y_2\\&#10;%  (a,b)&#10;&&(~ 6 &,& 9~) &#10;%  (c,d)&#10;&&(~ 10 &,& 15~)&#10;\end{array}~~~ &#10;%  distance value&#10;d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}&#10;\\\\\\&#10;d=\sqrt{(10-6)^2+(15-9)^2}\implies d=\sqrt{4^2+6^2}\implies d=\sqrt{52}&#10;\\\\\\&#10;d\approx 7.2

what's its speed?  well, it traveled √(52) in 2 seconds, so is simply √(52)/2, which is about 3.6 units per second.
4 0
3 years ago
5x-y=7
seropon [69]

Answer:

see graph of y = 5x - 7

Step-by-step explanation:

If graphing is the task, you should rewrite the equation in a y = ax + b form. All straight lines can be described in this form, only the a and b determine which line it is.

Your equation 5x-y=7 has the 5x on the left side, so lets move it to the right. It will get a negative sign (this is the same as subtracting 5x like you did in your picture)

5x - y = 7

-y = 7 - 5x

Now we still have the -y which should be a +y. So we multiply left and right with -1 and get:

y = -7 + 5x

If we swap the -y and 5x (we can, because they are just an addition), we get:

y = 5x - 7

Now the equation is in its "normal" form. It's like the y = ax + b with a and b chosen as a=5 and b=-7.

The normal form is handy because you can immediately see the slope is 5 and the intersection with the y-axis is at y=-7.

3 0
3 years ago
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