what is one-fourth the sum of n and 2 equals one
(1/4)(n+2)=1
(1/4)n+(1/2)=1
(1/4)n=1/2
n=2
Well, that's quite a math problem you've got there! Let's break it down:
"One-fourth the sum of n and 2 equals one" can be written as:
(n + 2) / 4 = 1
To solve for n, we can multiply both sides by 4 to get rid of the fraction:
(n + 2) = 4
Now, to isolate n, we subtract 2 from both sides:
n = 4 - 2
So, n equals 2! Voila!
To solve the equation "one-fourth the sum of n and 2 equals one," you can follow these steps:
Step 1: Express the given statement as an equation:
1/4 (n + 2) = 1
Step 2: Multiply both sides of the equation by 4 to eliminate the fraction:
4 * (1/4) (n + 2) = 4 * 1
n + 2 = 4
Step 3: Subtract 2 from both sides of the equation to isolate n:
n + 2 - 2 = 4 - 2
n = 2
So the value of n that satisfies the equation is 2.
To solve the equation "one-fourth the sum of n and 2 equals one," we need to translate the English sentence into a mathematical equation and solve for the variable n.
Let's break down the sentence step by step:
"One-fourth" represents 1/4, which means we will multiply the value (sum of n and 2) by 1/4.
"The sum of n and 2" means we need to add n and 2 together.
We can now write the equation: 1/4(n + 2) = 1.
To solve for n, we'll follow these steps:
1. Multiply both sides of the equation by 4 to eliminate the fraction:
4 * (1/4(n + 2)) = 1 * 4
(n + 2) = 4
2. Subtract 2 from both sides of the equation to isolate n:
n + 2 - 2 = 4 - 2
n = 2
So, the value of n that satisfies the equation is 2.