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
The point-slope form if the coordinates are (-1,1) and (1,-1)
y = ax + b = ( - 1 )x + b = - x + b < i guess>
Ok done. Thank to me :>
Answer:
x = -8
QR = 6
PR = 9
Step-by-step explanation:
Alrighty, this one has a lot of steps. We have to think about this logically.
The length of PR is x + 17, and the length of PQ is 3, and the length of QR is 2x + 22.
The length of PR could also be written as the length of PQ + QR, which gives us the formula PR = PQ + QR. This allows us to put all our information into one formula to solve for x.
PR = PQ + QR
x + 17 = 3 + 2x + 22
17 - 3 - 22 = 2x - x
-8 = x
so x = -8
Now we can use that x and plug it into the other two formulas:
QR = 2x + 22
QR = 2(-8) + 22
QR = -16 + 22
QR = 6
And now we plug x into PR:
PR = x + 17
PR = -8 + 17
PR = 9
Alternatively, we can use our other formula, PR = 3 + QR, which gets us the same answer:
PR = 3 + QR
PR = 3 + 6
PR = 9
Answer:
n=9
Step-by-step explanation:
when you add 49 and 5 you get 54 then you need to divide it by 6