Answer:
5x+3y=15
Step-by-step explanation:
We are given two coordinates (3,0) (0,5)
Start by finding slope
y2-y1/x2-x1= 5-0/0-3= -5/3 this is your slope m.
y=mx+c
y= -5/3x+c (but remember standard line is ax+by=c) so we have to switch sides
5/3x + y=5 (remember standard form has no fraction so multiply by 3 on all sides)
5x+3y=15
Subtract 6 on both sides
Multiply -2 on both sides to get "x" by itself
x = -8
So how many of 5/8 wood pieces out of a 4 5/8 board
let's make the board size into a improper fraction so 8*4+5 = 37
so the board is 37/8
how many times can 5/8 go into 37/8
37/8 / 5/8
"Keep, change, flip" (for division of fractions)
keep the first number, change the sign into multiplication, and flip the last fraction
37/8 * 8/5
That is 7 2/5
Only 7 full 5/8 feet pieces of wood can be cut from a board that is 4 5/8 feet long (remainder 2/5)
Hope this helps :)
Answer:
8.2
Step-by-step explanation:
We have been given that the ratio of hydrogen to oxygen atoms in water molecules is 2 to 1.
We can represent this information as: 
Let x be amount of moles of hydrogen atoms in water beaker. The proportion of hydrogen and oxygen moles will be same in water beaker.
Upon substituting our values in above proportion we will get,
Therefore, the moles of hydrogen atoms in water beaker will be 8.2.
Answer:
x = 26
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , then
x + 3x + 5x - 54 = 180 , that is
9x - 54 = 180 ( add 54 to both sides )
9x = 234 ( divide both sides by 9 )
x = 26
