To help Serena determine how much flour Lidia needs and how to express the measurements using coefficients and constants, let's analyze the problem step-by-step.
Serena has two measurements of flour:
- 5.6 yards
- 8 yards
Total Measurement
To find the total amount of flour needed, we simply add the two measurements together:
\[ \text{Total} = 5.6 \text{ yards} + 8 \text{ yards} = 13.6 \text{ yards} \]
Using Coefficients and Constants
Let's express these measurements in terms of coefficients and constants.
- Coefficients: In a mathematical expression, coefficients refer to the numerical factors that multiply a variable. For example, in the expression \( 2x + 3\), the number \(2\) is the coefficient of the variable \(x\), and \(3\) is a constant.
- Constants: Constants are fixed values that do not change.
In this case, you can represent the measurements in a similar format:
- Let \(C_1 = 5.6\) (This is a coefficient representing the first quantity)
- Let \(C_2 = 8\) (This is a coefficient representing the second quantity)
- The total amount of flour can be expressed as:
\[ C = C_1 + C_2 \]
Where:
- \(C_1 = 5.6\)
- \(C_2 = 8\)
Thus, the expression becomes:
\[ C = 5.6 + 8 = 13.6 \]
Conclusion
Serena needs a total of 13.6 yards of flour. The coefficients are 5.6 and 8, and the constant in this case, when expressing the addition, is the result 13.6.
If the focus is on just how to express these totally:
- Coefficients: 5.6, 8
- Constant: 13.6 (final total of the measurements).
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