Answer:
The length of this rectangle is 6 units.
Step-by-step explanation:
Let the width of the rectangle be x.
x • (x+2) = 48
x^2+2x=48
x^2+2x-48=0
x^2 - 6x + 8x - 48
x(x-6) 8(x-6)
(x+8)(x-6)
x=-8,6
Answer:
1/4 & 1
Solution:
1/2 * 1/2 = (1*1)/(2*2)
1/2 + 1/2 = (1+1)/(2) = 2/2 = 1
The circumference of a circle is 
Circumference = 
It says to leave in terms of pi which means that we won't solve 
Thus the answer is .
Hope that helped!
Answer:
The total saving =$ 176.64
Step-by-step explanation: let Maddie's saving amount be x.
Maddie spent = $76 maddie spent in percent = 43%
We know, 43% of x = $76 or, 0.43x = $76 or, x = $76/0.43 or, x = $176.74
total savings = $176.74
Let's use the variables N and Q for the number of nickels and the number of quarters.
We know there are 49 total coins, so we can write the following equation:
N + Q = 49
We can solve this equation for one variable which will help in the next step. Let's solve for N:
N = 49 - Q
Next, we know that nickels are worth $0.05 and quarters are worth $0.25. We can use these values along with the total value of $8.85 to create another equation.
0.05N + 0.25Q = 8.85
Now we can use substitution to solve our system out equations. We solved the first equation for N, so we can plug 49 - Q in for N.
0.05(49-Q) + 0.25Q = 8.85
Distribute and combine like terms.
2.45 - 0.05Q + 0.25Q = 8.85
2.45 + 0.2Q = 8.85
0.2Q = 6.4
Q = 32
Plug 32 in for Q in N + Q = 49 to find the number of nickels.
N + 32 = 49
N = 17
Dustin has 32 quarters and 17 nickels.
