<span>Let x=number of nickels in the piggy bank
(2x+3)=number of dimes in the piggy bank
(3x-3)=number of quarters in the piggy bank
.05x+.10(2x+3)+.25(3x-3)=14.55
.05x+.20x+.30+.75x-.75=14.55
</span>
<span>
1.00x=14.55+.45
x=15
2x+3=33
3x-3=42
The number of nickles in the piggy bank would be 15.
</span>
<span><span>The number of dimes in the piggy bank would be 33
</span></span>
<span>The number of quarters in the piggy bank would be 42. </span>
Hope I was able to help and that this was useful to you!!! :)
This the answer i gotx<-3/10
14. 128
15.25
16.90
those should be right
Answer:
nice to see you again
Step-by-step explanation:
14.) 20
15) 16
16) true
So, 4/3 - 2i
4/3 - 2i = 12/13 + i8/13
multiply by the conjugate:
3 + 2i/3 + 2i
= 4(3 + 2i)/(3 - 2i) (3 + 2i)
(3 - 2i) (3 + 2i) = 13
(3 - 2i) (3 + 2i)
apply complex arithmetic rule: (a + bi) (a - bi) = a^2 + b^2
a = 3, b = - 2
= 3^2 + (- 2)^2
refine: = 13
= 4(3 + 2i)/13
distribute parentheses:
a(b + c) = ab + ac
a = 4, b = 3, c = 2i
= 4(3) + 4(2i)
Simplify:
4(3) + 4(2i)
12 + 8i
4(3) + 4(2i)
Multiply the numbers: 4(3) = 12
= 12 + 2(4i)
Multiply the numbers: 4(2) = 8
= 12 + 8i
12 + 8i
= 12 + 8i/13
Group the real par, and the imaginary part of the complex numbers:
Your answer is: 12/13 + 8i/13
Hope that helps!!!