We use letters to represent the unknown coins.
P for pennies that worth 1 cents
N for nickels that worth 5 cents
D for dimes that worth 10 cents
Q for quarters that worth 25 cents.
<span>"He has twice as many nickels (N) as dimes (D)" So D=2N
</span><span>"and four times as many pennies (P) as quarters (Q)." So Q=4P
</span>
Number of coins equals P+N+D+Q=P+N+2N+4P (Dimes and quarters are written in terms of nickels and pennies, respectively)
So, number of coins is equal to 5P+3N=201. Thats is the first equation (I)
To write the second equation, use cents of coins. 12.10 $ in coins can be shown as
5P. 1 cent + 3N. 5 cent=1210 cents or simply 5P + 15N=1210 (Second equation)
We have two equations and two unknowns so it is soluble.
number of coins: 5P+3N=201 (I)
cents of coins: 5P+15N=1210 (II)
Use the substitution method. (II) - (I)=12N=1009
N=1009/12=84 ( Actually it is 84.08)
D=2N=168
P= -10
Q=-40
Number of pennies and quarters are <span>meaningless. They can't be negative. So they should be something wrong in the question.</span>
Answer:
the length— 6
width— is 9
Step-by-step explanation:
you said One side— 3m MORE
so we will consider the length Number as X
we will consider width As three plus X
- You want to know the Perimeter. So we have to
add.
— so the expression is 3+3+x+x+x+x = 30
it is then simplified to 6+4x= 30
then we should be able to find out the X which is 6
when we substitute the values with dimensions, you will get
your final Answer
I hope This Helped!
Step-by-step explanation:
Take the arc Sine of the function
Finally, Sine is a periodic function so it has two answers within the interval (0, 2 pi)
Use the identity
We know that
so using the identity
So we have two answers.
Answer:
B
Step-by-step explanation:
6% of her salary is .06 * 50000 = 3000 <===== matched 100%
from 6- 12% is another 3000 <=====matched 50% = 1500
3000 + 1500 = 4500 dollars matched
(she put in 6000 and her employer put in 4500 = 10500 total)
The width is 2, because area you need to times the length with width.