Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.
Sagot :
The system of inequalities that model the number and types green (g)
and blue (b) beads in a belt are as follows;
- 70 < g + b < 74
- 10 < g < 14
- 56 < b < 63
- [tex]\underline{\dfrac{1}{4} \leq \dfrac{b}{g} \leq \dfrac{1}{6}}[/tex]
How can s system of inequalities be written?
The waist size for the belt = ±28 inches
The x represent the number of beads on each belt, we have;
Number of beads per belt 70 < x < 74
Minimum ratio of blue to green beads = 1 : 4
Maximum ratio of blue to green beads = 1 : 6
Therefore;
Minimum number of blue beads = [tex]\frac{70}{1 + 6}[/tex] = 10
Maximum number of blue beads = [tex]\frac{74}{1 + 4}[/tex] ≈ 14
The number of blue beads, b, in a belt is therefore;
- 10 < g < 14
Minimum number of green beads = [tex]\frac{4}{1 + 4}[/tex] × 70 = 56
Maximum number of green beads = [tex]\frac{6}{1 + 6}[/tex] × 74 ≈ 63
The number of green beads, g, in a belt is therefore;
- 56 < b < 63
The sum of the beads on each belt = g + b = x
Therefore;
- 70 < g + b < 74
From the given maximum and minimum ratios, we have;
- [tex]\underline{\dfrac{1}{4} \leq \dfrac{b}{g} \leq \dfrac{1}{6}}[/tex]
Learn more about inequalities here:
https://brainly.com/question/371134
Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.