If a student can run the mile in 8 minutes, how many miles can they run in an hour?

The answer is:   "  7  "  ;

_____________________________________________

    or, write as:  " 7. 5  " .

_____________________________________________

Explanation:

To solve:

_____________________________________________

Using a technique called "dimensional analysis" :

_____________________________________________

  *  ;

               =      

               =       ;

               =       ;

               =        ;

               =    { 15 ÷ 2 }  

               =      "  7   " .  

_____________________________________________

or, write as:     "  7. 5    " .

_____________________________________________

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)