Answer:
Altogether Gavin and Jim won £95.
Step-by-step explanation:
We are given the following in the question:
Ratio of money won by Gavin and Jim = 5:2
Gavin gets £39 more than Jim.
Let x be the amount of money Won by Jim.
Then, money won by Gavin =
Thus, we can write the equation:
Solving, we get,
Thus, Gavin won £65 and Jim won £26.
Money won altogether =
Thus, altogether Gavin and Jim won £95.
Answer:
2.Both boundary lines are solid.
3.A solution to the system is (1, 3)
5.The boundary lines intersect.
Step-by-step explanation:
we have
----> inequality A
The solution of the inequality A is the shaded area below the solid line
The slope of the solid line is 3
The point (1,3) is a solution of inequality A (lie in the shaded area of the solution set)
----> inequality B
The solution of the inequality B is the shaded area above the solid line
The slope of the solid line is -1
The point (1,3) is a solution of inequality B (lie in the shaded area of the solution set)
The solution of the system of inequalities is the shaded area between the two solids lines
see the attached figure
<u><em>Verify each statement</em></u>
1.The slope of one boundary line is 2
The statement is False
2.Both boundary lines are solid.
The statement is True
3.A solution to the system is (1, 3)
The statement is True
4.Both inequalities are shaded below the boundary lines
The statement is False
5.The boundary lines intersect.
The statement is True
The intersection point is (0.25,1.75)
see the attached figure
