Answer:
23,24,26,27 sorry if you get it wrong
6x - 9x - 5 =
combine like terms
6 - 9 = - 3
- 3x - 5 =
leave x by itself
- 3x - 5 =
+3x
___
0
- 5 = 3x
solve for x (division)
- 5 = 3x
___
3
-5/3 = x OR x = -5/3
108
I'm not positive but i belive this is correct
D= # of dimes
q= # of quarters
QUANTITY EQUATION:
d + q= 64
COST EQUATION:
0.10d + 0.25q= $9.25
STEP 1:
multiply quantity equation by -0.10 to be able to eliminate the d term in step 2
(-0.10)(d + q)= (-0.10)(64)
-0.10d - 0.10q= -6.40
STEP 2:
add equation from step 1 to cost equation to eliminate the d term and solve for q
Add
0.10d + 0.25q= $9.25
-0.10d - 0.10q= -6.40
0.15q= 2.85
divide both sides by 0.15
q= 19 quarters
STEP 3:
substitute q value in step 2 into either original equation to find d value
d + q= 64
d + 19= 64
subtract 19 from both sides
d= 45 dimes
CHECK:
0.10d + 0.25q= $9.25
0.10(45) + 0.25(19)= 9.25
4.50 + 4.75= 9.25
9.25= 9.25
ANSWER: There are 45 dimes and 19 quarters.
Hope this helps! :)
That would be the number of permutations of 3 from 10.
= 10P3 = 10! / 7! = 10*9*8 = 720
