NerdyKid

When we are doing problems like this, we have to get x by itself. To get x by itself we have to divide both sides by 2 to get x=17. We can check our work by inputting x for 17 and multiplying by 2 to get 34 and we know that 34=34, so x=17.

Assuming that we can have "non-sense" words

We could have  a word with an "A"  and this letter could appear in any of 4 positions......and we could choose any of the other three consonants to occupy a second positon, then any two of the consonants to occupy a third position, and the last consonant would appear in the last position by default.......so we have

4 * 3 * 2 *1  =      24 words using just the A  and the other three consonants

The same result would occur if we just used the "E" and the other three consonants

If we used the "A"  and the "E," we would have 24 words using any two of the other consonants......but, we could choose any 2 of the 3 remaining consonants.....so   the total "words"   would be  24 * (3C2)  = 24 * 3  =  72

So....the total number of words would  be 24 + 24 + 72  =  120 "words"

Thank you Melody!!!

7/16 x  = pencils where  x = total number of writing instruments

7/ 16 x  + 1  = 5/12 (x+4)

21/48  x + 1 = 20/48 x + 80/48

1/48 x = 32/48

x = 32    pencils+ pens originally  

7/16 (32) = 14  pencils originally   ... and you found one more    = 15

the questions isn't explain nor answered

the question isn't explained

Because h is proportional to the square of v. We have to input 20 for v and square it to get 400. 35^2=1225. We can make a proportion 8/400=x/1225. When we simplify we get 1/50=x/1225 When we cross multiply we get 50x=1225 and divide both sides by 50 we get x=24.5

Because it is proportional to the respected numbers square. 4^2=16 and because it is proportional 80/16=5. We have to square 8 to get 64 and then multiply that value by 5 to get 320. 

Because it is proportional to the respected numbers square. 4^2=16 and because it is proportional 80/16=5. We have to square 8 to get 64 and then multiply that value by 5 to get 320.