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15 + 20 =35 minutes spend walking by Sam when Al caught up with him.

3.5 mph x 35/60 =2 1/24 =49/24 - miles covered by Sam

[49 / 24] / [20/60][Time spent jogging by Al] =6 1/8 mph - Al's jogging speed.

Maybe so but you are expected to give your reason and to be polite about it.

Sam has a 1/4 hr head start at 3.5 m/hr

3.5 m/h x 1/4 hr = .875 miles

Al closes this distance in 20 minutes = 1/3 hr

  he is thus moving     .875 m/1/3 hr   FASTER than Sam = 2.625 m/hr faster

      3.5 + 2.625 = 6.125 m/hr

thx!

3^11  +  5^7 =255,272

255272 = 2^3 * 17 * 1877  What is the smallest prime divisor?

The smallest prime divisor is 13.

(closest) distance = (PQ/2) / tan(∠POQ/2)

Take the volume of the WHOLE block minus the cut out portion

5 x 8 x 4     -    4 x 3 x 2 = .........   units³

Winston grows green dragon apples. This year, he shipped  of these apples to sell at supermarkets and kept the rest to make cider. Of all the green dragon apples he sold to the supermarkets, only  of them were bought. If a total of  green dragon apples were bought, how many green dragon apples did Winston keep to make cider?

There are 4 creases in the 3x3    totaling   18 inches   each crease is 4.5 in

  10 x 10 will have 18 creases that are 10/3 longer

     18 * 10/3 * 4.5 = 270 inches 

Is 9720 a perfect cube ? If not find the smallest number by which it should be divided to get a perfect cube​    

Are fractions eligible as "numbers"?  Divide 9720 by 0.00972 to get 1,000,000 which is 100³. 

There's no reason to stop there.  Just keep adding zeros between the decimal point and the 9. 

You never reach a smallest number. 

_.

First, let's take a look at the 3 by 3 sheet of stamps. 

There are two vertical creases between the three columns of stamps. 

These two creases comprise a total of six vertical stamp-lengths. 

Similarly for the two horizontal creases, six horizontal stamp-lengths. 

That makes a total of 12 stamp-lengths of creases. 

It's given that there are 18 inches of crease in the 3 x 3 sheet.  

Therefore these square stamps are 1.5 inches on a side.  

Figure the 10 by 10 sheet the same way. 

Nine vertical creases, creating 90 stamp-lengths of vertical crease. 

Nine horizontal creases, creating 90 stamp-lengths of horizontal crease. 

That totals 180 stamp-lengths of crease in the 10 x 10 sheet. 

Since each stamp is 1.5 inches on a side, the total length of crease is 1.5 • 180 =  270 inches 

_.

https://web2.0calc.com/questions/help_98205#r3

1 + 0 + 0 + 1 + 0 + 1 +...................+ 1 + 9 + 9 + 2 + 0 + 0 =1002 sum of all digits between 100 and 200.

https://web2.0calc.com/questions/help_98205#r3

urw 

208  217  226  235  244  253  262  271  280  Total =  9 such numbers.

Tiger King annual salary  =  55 000 + 2500n       n = number of years

Carol Baskin annual salary = 62 000  + 2000n                 now equate them

55 000 + 2500 n      =   62 000 + 2000 n      and solve for n

The two 'x' angles are supplementay

6x+7     +       3x-16  = 180      solve for 'x'     then use this answer as follows

the two lower angles are equal

11y - 32    =    6x+7        solve for 'y'

20160 

not sure if this is right

That's wrong 

103  105  123  125  135  143  145  153  201  203  205  213  215  231  235  241  243  245  251  253  301  305  315  321  325  341  345  351  401  403  405  413  415  421  423  425  431  435  451  453  501  503  513  521  523  531  541  543  Total =  48 such numbers

Thank you so much for your detailed answer! This really really helps.

If by "find the smallest number", you mean "find the smallest integer", then:

9720 = 2^3 * 3^5 * 5 and the smallest integer =3^2 x 5 = 45

9720 / 45 =2^3 x 3^3 = 216 - which is a perfect cube of 6.

I don't think that that is correct. Thanks though! Can someone else help?