Answer:
18.85 inches.
Step-by-step explanation:
We have been given that the radius of a smaller circle 3 inch. We are asked to find the circumference of smaller circle.
We know that circumference of a circle is equal to
, where r represents radius of circle.




Therefore, the circumference of smaller circle is approximately 18.85 inches.
Absolute values are a way of finding a distant from zero, which means there will be 2 answers; one will be positive, and the other will be negative.
|<em>3x - 4</em>| = 5<em>and</em> |3<em>x - 4</em> = a^5 Because you need 2 answers, you have to make 5 positive and negative.
Another way to write this equation would be...
5=|3x-4|=—5
Now lets continue...
5=3x-4=—5
Add 4 to both sides...
9=3x=—1
Now divide by 3...
3=x= -1/3
So the solution is...
X={-1/3 3}
Answer:
Amount of money Judy has in her account is
.
Amount of money Tommy has in his account is 
Step-by-step explanation:
To find : Amount of money in Judy account and amount of money in Tommy account:
Solution:
Given:
Judy has $7500 more than a number in her account.
Let the number be 'n'.
So we can say that;
Amount of money in Judy account is equal to 7500 plus number.
framing in equation form we get;
Amount of money in Judy account = 
Hence Amount of money Judy has in her account is
.
Now Given:
Tommy has 6 more than 3 times the amount of money in his bank account than Judy.
So we can say that;
Amount of money in Tommy account is equal to 3 multiplied by Amount of money in Judy account plus 6.
framing in equation form we get;
Amount of money in Tommy account = 
Hence Amount of money Tommy has in his account is
.
We are given with two equations 2x − 3y = −1 and <span>11x − 9y = −13. The problem says that when the first equation is multiplied by -3 which results to -6x + 9y = 3, the sum of the resulting equation and the second one is equal to 5x = -10. We verify this: -6x + 11x = 5x while -9 y and 9 y cancels out. 3+-13 equals -10. Hence the total is really 5x = - 10.</span>