Answer:
a = -4/9
Step-by-step explanation:
(9a + 4) = 0
Subtract 4 from each side
9a + 4-4 = 0-4
9a = -4
Divide each side by 9
9a/9 = -4/9
a = -4/9
the answer is 1/8. I double checked
Answer:
52 dimes and 28 nickels
Step-by-step explanation:
n = number of nickels
d = number of dimes
n+d = 80 the number of coins he got
Multiply the number of nickels times .05 plus the number of dimes times .10 to equal the amount of money he got
.05n + .10d = 6.60
Divide this equation by .05
.05n/.05 + .10/.05 = 6.60/.05
n + 2d = 132
n+d = 80
Multiply by -1
-n-d=-80
Add this to n+2d = 132
n+2d=132
-n-d=-80
-------------------
d = 52
Now we need to solve for n
n+d = 80
n+52 = 80
Subtract 52 from each side
n+52-52= 80-52
n = 28
Answer:
16
Step-by-step explanation:
94/6 = 15.66667
smallest number of boxes = 16
Important: Use the symbol "^" to denote exponentiation:
<span>x3 – 9x2 + 5x – 45 NO
</span><span>x^3 – 9x^2 + 5x – 45 YES
Look at the first 2 terms. They can be rewritten as x^2(x-9). Then look at the last 2 terms. They can be rewritten as 5(x-9). So, x-9 is the common factor here. Thus, the original expression becomes:
(x^2-5)(x-9).
Note that x^2-5 can be factored, so that the final 3 factors are:
(x-sqrt(5)), (x+sqrt(5)), (x-9).</span>
