Answer:
y = 1/5x - 7/5
Step-by-step explanation:
y = 1/5x + b
-1 = 1/5(2) + b
-1 = 2/5 + b
-7/5 = b
Answer
Notebook each =$4
Folder each = $9
First we write out what we know
Notebook = n
Folder = f
It says a notebook is +5 than a folder so
f = n +5
It says he bought 3 notebooks and 2 folders for $30
3n + 2f = 30
Because we know from the first equation
f=n+5, we can substitute that into the second equation for f
3n + 2(n+5) = 30
3n + 2n +10 =30. Now Combine like terms
5n +10 =30. Now isolate n by subtracting 10 from both sides
5n = 20. Now isolate n by dividing both sides by 5
n = 4
Now we do the same thing to find f
We substitute the value of n (4) into the equation 3n + 2f =30
3(4) +2f =30
12 +2f =30. Now isolate f by subtracting 12 from both sides
2f = 18. Now isolate f by dividing both sides by 2
f = 9
We check our work by inserting the n and f values we found into one of the equations
n + 5 = f
4 + 5 = 9
9 = 9. It worked it equals so it’s correct
Answer:
32
Step-by-step explanation:
32 is the GCF of the whole numbers and up to x2 can go into both
The answer should be 32x2
Hope this helps
Answer:
volume = 1809 cm³
Step-by-step explanation:
The ratio of the height of two similar cylinder is 1:3 . The volume of the smaller cylinder is 67 cm³. The volume of the larger cylinder can be computed below:
If 2 object are similar and the ratio of the corresponding sides is x ,then the ratio of their volume is x³.
ratio of height = 1/3
ratio of volume = (1/3)³ = 1/27
volume of smaller cylinder/volume of larger cylinder = 1/27 = 67/x
where
x = volume of the larger cylinder
x = 27 × 67
x = 1809 cm³
volume = 1809 cm³
