You've certainly tried hard to describe it in enough detail so that
it can be answered without seeing the diagram. Sadly, it's not
enough.
We still don't know what's tangent to what, where point 'C' is, or
how any of this relates to a circle. You'll have to figure out some
way or us to see the diagram.
Answer:
The solution is (x,y)=(-4,-1)
Step-by-step explanation: Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.
Let the number of chairs Gavin build per week is x and number of tables he builds per week is y.
It takes 4 hours to work on a chair and 10 hours to work on a table. So time taken to work on x chairs and y tables will be:
Gavin wants to work for no more than 40 hours. So we can write the inequality as:
It takes $10 worth of supplies to build a chair and $15 worth of supplies to build a table. So cost or worth of supplies for x chairs and y tables will be:
Gavin wants to spend no more than $80 on material. So we can write the inequality as:
Thus the system of inequalities is:
We can observe the possible combinations from the graph of these inequalities, which is shown below:
a) 0 chair and 3 tables
b) 5 chairs and 2 tables
c) 8 chairs and 2 tables
9.5% of 500 = 47.5
9.5% × 500 =
(9.5 ÷ 100) × 500 =
(9.5 × 500) ÷ 100 =
4,750 ÷ 100 =
47.5;
Answer:
The answer would be 15
x = 15
Step-by-step explanation:
6x = 5x +15
Subtract 5x from both sides
x = 15
Try testing now by putting in the value
6(15) = 5(15) + 15
Distributive Property
90 = 75 + 15
Add
90 = 90
Now you know for a fact that this answer is correct.