SOLUTION: Questions & answers Transpose the formula to find s---->Question : a=2(ut-s)/t^2 I got s=l^2(2(ut-s) Word__Problem a)When five is taken from six times a certain number

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Questions & answers Transpose the formula to find s---->Question : a=2(ut-s)/t^2 I got s=l^2(2(ut-s) Word__Problem a)When five is taken from six times a certain number       Log On


   



Question 596026: Questions & answers
Transpose the formula to find s---->Question : a=2(ut-s)/t^2
I got s=l^2(2(ut-s)

Word__Problem
a)When five is taken from six times a certain number the result is fifteen.What is the number?
I GOT
LET X BE THE CERTAIN NUMBER
6X-5=15
6X=15+5
6X=20
X=20/6


b)Sidney paid a grocery bill of $3.90 with dimes and quarters.If there were 4 more dimes than quarters,how many coins of each kind did he have? Not sure how to attempt this?

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
# 1

a=2%28ut-s%29%2F%28t%5E2%29

at%5E2=2%28ut-s%29

at%5E2=2ut-2s

at%5E2-2ut=-2s

-2s=at%5E2-2ut

s=%28at%5E2-2ut%29%2F%28-2%29

s=%28-%28at%5E2-2ut%29%29%2F%282%29

s=%28-at%5E2%2B2ut%29%2F%282%29

s=%282ut-at%5E2%29%2F%282%29

=======================================================
# 2
You're very close to the final answer. Reduce to get

20/6 = 10/3

So the answer is 10/3

=======================================================
Let d = # of dimes and q = # of quarters

"If there were 4 more dimes than quarters", then d+=+q+%2B+4

The total value of d dimes is 0.1d dollars
The total value of q quarters is 0.25q dollars
They must add to 3.90, so

0.1d + 0.25q = 3.90

Multiply everything by 100 to get

10d+%2B+25q+=+390

Now use this equation (along with the first) to solve for d and q

10d+%2B+25q+=+390

10%28q+%2B+4%29+%2B+25q+=+390 ... Replace 'd' with 'q+4' (since d = q+4)

10q%2B40%2B25q=390

35q%2B40=390

35q=390-40

35q=350

q=%28350%29%2F%2835%29

q=10

So there are 10 quarters.

d+=+q%2B4

d+=+10%2B4

d+=+14

and there are 14 dimes