I thought of a number and multiply 3.1 added to it and then divided by 5 the result was 2 find the number?
your number is 3.
yes
(3n+1)/5 = 2
3 n + 1 = 10
3 n = 9
n = 3
Let's solve this step by step:
Let's assume the number you thought of is "x".
1. Multiply the number by 3.1: 3.1x
2. Add 3.1 to the result: 3.1x + 3.1
3. Divide the sum by 5: (3.1x + 3.1) / 5
4. The result of this expression is given as 2: (3.1x + 3.1) / 5 = 2
To find the number "x", we will solve this equation:
(3.1x + 3.1) / 5 = 2
5. Multiply both sides of the equation by 5 to isolate the numerator: 3.1x + 3.1 = 2 * 5 = 10
6. Subtract 3.1 from both sides of the equation to isolate "x":
3.1x = 10 - 3.1 = 6.9
7. Divide both sides of the equation by 3.1 to solve for "x":
x = 6.9 / 3.1 ≈ 2.23
Therefore, the number you thought of is approximately 2.23.
To find the number, we can follow the steps given in the problem. Let's break it down:
1. Start with the unknown number.
Let's call this number "x".
2. Multiply the unknown number by 3.1.
Multiply x by 3.1: 3.1x
3. Add 3.1 to the product from step 2.
The result is 3.1x + 3.1.
4. Divide the sum from step 3 by 5.
The result is (3.1x + 3.1) / 5.
5. The final result is given as 2.
Set (3.1x + 3.1) / 5 equal to 2.
(3.1x + 3.1) / 5 = 2
To find the value of x, we need to solve the equation for x. Here's how we can do that:
Multiplying both sides of the equation by 5:
[(3.1x + 3.1) / 5] * 5 = 2 * 5
This cancels out the division by 5 on the left side:
3.1x + 3.1 = 10
Then, subtracting 3.1 from both sides of the equation:
3.1x = 10 - 3.1
3.1x = 6.9
Finally, dividing both sides of the equation by 3.1:
(3.1x) / 3.1 = 6.9 / 3.1
x = 6.9 / 3.1
Evaluating the expression:
x ≈ 2.226
So, the number you thought of is approximately 2.226.