Answer:
20 nickels and 26 dimes
Step-by-step explanation:
- She has $3.60 in nickels and dimes
- a nickel is $0.05 and a dime is $0.10
- let n be the number of nickels and d be the number of dimes
- thus the first equation is 3.6 = 0.05n +0.1d
- If she has 46 coins then n + d = 46
- then n = 46 - d
- sub n = 46 - d into 3.6 = 0.05n +0.1d
- 3.6 = 0.05(46 - d) + 0.1d
- 3.6 = 2.3 -0.05d+0.1d
- 1.3 = 0.05d
- 26 = d
- sub d = 26 into n+d=46
- n+26=46
- n=20
- Check by subbing n=20 and d=26 into 0.05n +0.1d
- 0.05(20) +0.1(26)
- 1+2.6 = 3.6
d)
First choice is an improper fraction because you can't have 22 ninths.
And the second two are just normal fractions, not wholes.
The first choice would be the right answer IF instead of writing it like that, it was written like this ( 2 4/9 )
Your answer is d).
-12 + 3x + 2 = 5x - 10 - 8x
-10 + 3x = -3x -10
-10 + 6x = -10
6x = 0
x = 0
<span>The answer is that x = 21/9.
Start with the original: 4(2x - 1) - 7 = 4 - x + 6
Now distribute the 4:</span> <span> 8x - 4 - 7 = 4 - x + 6.
Now combine the like terms. 8x - 11 = -x + 10.
Now add x to both sides. 9x - 11 = 10.
Now add 11 to both sides. 9x = 21.
And divide by 9 on both side. x = 21/9. </span>
