Dime value: $0.10
Nickel value: $0.05
For this word problem, you are asked to create an algebraic expression (an equation) for the unknown variables.
Now, we know that a dime is worth $0.10 or 10 cents and a nickel is worth $0.05 or 5 cents. So, all you would have to do is create an equation that takes those values into account.
5n + 10d
Your algebraic expression would be B. 5n + 10d
I hope this helps!
3/4 foot is 9 inches, and 4 1/2 feet is 54 inches, so, 54/9 makes exactly 6 pieces of string.
Answer: 3 2/3 Yards
Step-by-step Solution:
In order to solve this problem, you'll want to set up a conversion equation.
** 1 Yard = 3 Feet **
To convert these measurements you'll need to write this conversion factor as a conversion ratio. Your ratio will be 1 yard / 3 feet. This fraction is actually equal to 1, meaning we can multiply it by any number to convert the units without changing its value.
You can then solve by using simple division. I will attach a photo of the steps I did by hand.
** Canceling the units will help avoid confusion **
After you reach the 6th step, all you have to do to find your mixed number is see how many times 3 fits into 11.
3 can go into 11 3 times, with a remainder of 2. Your final answer should be 3 2/3 yards.
I hope this helps! c:
For the solution I isolated the variable by dividing each side by factors that don't contain the variable.
x = -6 + ∛2 / 2
x ≈ -5.37003947
Hope this helps!! :3
(If not, sorry)