Math Problem Statement
Solution
For Question 22:
To convert the mixed number to decimal form:
- Start with the whole number: 4.
- Convert the fraction to decimal by dividing 3 by 7:
- Add the decimal to the whole number:
- Rounding to two decimal places gives .
So, the answer is 4.43 (which matches the selected answer).
For Question 23:
The equation given is: .
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To find the y-intercept, set : So, the y-intercept is (which matches one of the options).
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To find the x-intercept, set : Solving for , we get: So, the x-intercept is .
The answer should be x-intercept = 4, y-intercept = 4.
Do you want more details on any part of these solutions?
Here are 5 related questions to expand your understanding:
- How do you convert any mixed number to decimal form?
- What is the general method to find the intercepts of a linear equation?
- How do you solve for intercepts in equations with fractions?
- What is the importance of intercepts in graphing lines?
- Can intercepts help in determining the slope of a line?
Tip: Always remember to round decimals correctly when needed, especially if the question specifies the precision.
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Math Problem Analysis
Mathematical Concepts
Arithmetic
Fractions
Decimals
Rounding
Formulas
Fraction to Decimal Conversion: numerator / denominator
Theorems
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Suitable Grade Level
Grades 5-7