Solve using inverse operations.

Question

c - 1/4=2

Answer 1

To solve the equation \( c - \frac{1}{4} = 2 \) using inverse operations, we will isolate the variable \( c \).

1. Add \( \frac{1}{4} \) to both sides of the equation to cancel out the subtraction on the left side:

   \[ c - \frac{1}{4} + \frac{1}{4} = 2 + \frac{1}{4} \]

   Simplifying the left side gives us:

   \[ c = 2 + \frac{1}{4} \]

2. Convert \( 2 \) to a fraction to combine it with \( \frac{1}{4} \):

   \[ 2 = \frac{8}{4} \]

3. Now, add \( \frac{8}{4} \) and \( \frac{1}{4} \):

   \[ c = \frac{8}{4} + \frac{1}{4} = \frac{9}{4} \]

Therefore, the solution is

\[ c = \frac{9}{4}. \]

Answer 2

A
2 142\ \frac{1}{4}2
4
1
​


B
1 341\ \frac{3}{4}1
4
3
​


C
−2 14-2\ \frac{1}{4}−2
4
1
​


D
34\frac{3}{4}
4
3
​

Answer 3

It looks like you've provided sets of numbers and fractions that may refer to specific items, choices, or sets from a problem. However, there is no specific question included.

If these are answer choices (i.e., A, B, C, D) for a particular problem, it would be helpful to know the context of the problem you're trying to solve. For example, if you're trying to determine which of these choices equals a certain value or satisfies a certain condition.

If you can provide more context or specify the problem, I will be glad to assist you with it!

Answer 4

yes thoose are the answer chooices

Answer 5

Thank you for clarifying! Since you've previously stated an equation \( c - \frac{1}{4} = 2 \), we found that the solution to this equation is \( c = \frac{9}{4} \).

Now, let's convert \( \frac{9}{4} \) to a mixed number:

\[ \frac{9}{4} = 2 \frac{1}{4}. \]

Now we can check the answer choices:

A. \( 2 \frac{1}{4} \)
B. \( 1 \frac{3}{4} \)
C. \( -2 \frac{1}{4} \)
D. \( 3 \frac{3}{4} \)

The correct answer matching \( c = \frac{9}{4} \) or \( 2 \frac{1}{4} \) is:

A. \( 2 \frac{1}{4} \).

If you have any further questions or need additional assistance, feel free to ask!