A varsity boy's basketball team has ratio of seniors to juniors that is 7:4. If the team is made up of only juniors and seniors,
1 answer:
Answer:
The ratio of seniors to the total team members is 7: 11
Step-by-step explanation:
Let us solve the question
∵ A varsity boy's basketball team has a ratio of seniors to juniors that is 7: 4
∴ seniors: juniors = 7: 4
→ That means seniors have 7 parts and juniors has 4 parts
∴ The seniors' members = 7 parts
∴ The juniors' members = 4 parts
→ Add them to find the total parts of the team
∴ The team's members = 7 + 4 = 11 parts
→ To find the ratio of the seniors' members to the total team's member
divide their parts
∵ The seniors ÷ The total =
∵ The seniors' member : The team's members = 7: 11
∴ The ratio of seniors to the total team members is 7: 11
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Answer:
Part A) The graph in the attached figure (see the explanation)
Part B) The ordered pair is not included in the solution area for the system (see the explanation)
Step-by-step explanation:
Part A) we have
----> inequality A
The solution of the inequality A is the shaded area below the dashed line
The slope of the dashed line is positive
The y-intercept of the dashed line is (0,-8)
The x-intercept of the dashed line is (2,0)
----> inequality B
The solution of the inequality B is the shaded area above the solid line
The slope of the solid line is negative
The y-intercept of the solid line is (0,5)
The x-intercept of the solid line is (2,0)
The solution of the system of inequalities is the shaded area between the dashed line and the solid line
see the attached figure
Part B) is the point (5, -8) Included in the solution area for the system?
we know that
If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities
Substitute the value of x=5, y=-8 in each inequality and then analyze the results
<em>Inequality A</em>
----> is true
so
the ordered pair satisfy inequality A
<em>Inequality B</em>
---> is not true
so
the ordered pair not satisfy the inequality B
therefore
The ordered pair is not included in the solution area for the system
