Math Problem Statement

Convert the mixed number 4 3/7 to decimal form.

Solution

For Question 22:

To convert the mixed number 4374 \frac{3}{7} to decimal form:

  1. Start with the whole number: 4.
  2. Convert the fraction 37\frac{3}{7} to decimal by dividing 3 by 7: 370.428571\frac{3}{7} \approx 0.428571
  3. Add the decimal to the whole number: 4+0.4285714.4285714 + 0.428571 \approx 4.428571
  4. Rounding to two decimal places gives 4.434.43.

So, the answer is 4.43 (which matches the selected answer).


For Question 23:

The equation given is: x+4-x + 4.

  • To find the y-intercept, set x=0x = 0: y=0+4=4y = -0 + 4 = 4 So, the y-intercept is 44 (which matches one of the options).

  • To find the x-intercept, set y=0y = 0: 0=x+40 = -x + 4 Solving for xx, we get: x=4x = 4 So, the x-intercept is 44.

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:

  1. How do you convert any mixed number to decimal form?
  2. What is the general method to find the intercepts of a linear equation?
  3. How do you solve for intercepts in equations with fractions?
  4. What is the importance of intercepts in graphing lines?
  5. 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.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Arithmetic
Fractions
Decimals
Rounding

Formulas

Fraction to Decimal Conversion: numerator / denominator

Theorems

-

Suitable Grade Level

Grades 5-7