Mr Wade imports and sells carbon road bikes and carbon mountain bikes. He sells at least 6 road bikes per week
and the ratio of road bikes to mountain bikes is at less than 5:2

The company manufacturing these bikes for Mr Wade has advised that each road bike takes 2.5 hours to make
and each mountain bike takes 4 hours to make. Under contract Mr Wade has hired the company's service for a
maximum of 40 hours a week. The profit on a road bike sale is $237 while on a mountain bike is $285.
Being a maths teacher, Mr Wade knows that linear programming is the best way to determine how many of each
bike to import sell to maximise profits.

a) Define your variables and list the system of inequalities for this question

c)  Conclusion:

The system of inequalities is:

Explanation:

1. Define the variables

2. List the system of inequalities

a) Time: maximum 40 hours a week

   i) From "each road bike takes 2.5 hours to make":

   ii) From "each mountain bike takes 4 hours to make""

   iii) Constraint:

b) Natural constraints:

Neither r nor m can be negative:

c)  Conclusion:

The system of inequalities is:

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.

the answer for this question is : 360°

step-by-step explanation:

we have been given a triangle   we need to tell which one of these is a triangle below to map onto itself.

360° rotation is the complete rotation which eventually leads to the same figure which is given.

the correct will be, that is 360° that will cause the triangle below to map onto itself.