•y-intercept is 20
•y-intercept represents how many glass bottles you need to earn $1.00 if you have 0 aluminum cans
•x-intercept is 50
•x-intercept represents how many aluminum cans you need to earn $1.00 if you have 0 glass bottles
(d): y = mx+n
m = -2/3 ⇒ y = (-2/3)x +n
A(-4, 6) ∈ d ⇒ 6 = (-2/3)·(-4) +n ⇒ 6 = 8/3 +n ⇒
⇒ n = 6 - 8/3 ⇒ n = 10/3
Now, we have:
y = (-2/3)x +10/3
Answer:
x ≈ 14.57
Step-by-step explanation:
using the sine ratio in the right triangle
sin59° = 
= 
( multiply both sides by 17 )
17 × sin59° = x , then
x ≈ 14.57 ( to 2 dec. places )
There are several important information's already given in the question. Based on those given information's the answer to the question can be easily deduced.
Number of stamps that Ira has in his stamp album = 128
Number of pages that the stamp album has = 8
Then
Number of stamps in each page of the stamp album = 128/8
= 16
So 16 stamps are there on each page of the stamp album. I hope the procedure is clear enough for you to understand. You can always use this method for solving similar type of problems in future without requiring any additional help.
To do this problem you would first need to factor out a variable, which in this case I would want to do the first equation because it is isolated. Now the equations would look like this:
x = -2y - 1
4x - 4y = 20
Since we know that x is now equal to -2y - 1 we can plug it in to the x value in the second equation:
4 (-2y -1) - 4y = 20
-8y -4 - 4y
-12y - 4 = 20
-12y = 24
y = -2
Now that we know the y value plug the y value to one equation to find the x, I will be using the first equation
x + 2(-2) = -1
x - 4 = -1
x = 3
Solutions:
y = -2
x = 3
