Answer:
24 gallons per hour
Step-by-step explanation:
Connor filled his 150-gallon pool with water in 6.25, to find out how many gallons per hour he used, we have to divide the amount of gallons into every hour. Therefore:
150/6.25
24 gallons per hour.
Answer:
1. Consistent independent.
2. Coincident
3. Inconsistent.
Step-by-step explanation:
4x + y = 8
x + 3y = 8 Multiply this equation by -4:
-4x - 12y = -32
Adding this to the first equation:
-11y = -24 giving y = -24/-11 = 2.18
Substituting in the first second equation:
x + 3(2.18) = 8 giving x = 1.46.
So this system of equations has roots (1.46, 2.18) and is consistent independent.
2.
-4x + 6y = -2
2x - 3y = 1 Multiply this by -2:
-4x + 6y = -2
So these 2 equations are the same and will give the same graph on the coordinate plane, and so has:
Infinite solutions and is coincident.
3.
5x - 2y = 4
5x - 2y = 6
We can see immediately that this system of equations has NO Solutions.
If we subtract the 2 equations we get:
0 = -2 which is of course, absurd.
Classification Inconsistent.
1. 2a=9b first we will divide the both sides with parameter b and get
2(a/b)=9 now we will divide both sides with number 2 and get
a/b=9/2 => a : b = 9 : 2
2. 6a-3b=5b first we will add to both sides number (+3) and get
6a=5b+3b => 6a=8b then divide the both sides with parameter b and get
6(a/b)=8 now we will divide the both sides with number 6 and get
a/b=8/6 if we simplify the fraction we get
a/b=4/3 => a : b = 4 : 3
3. a+b=3b we will add to the both sides parameter (-b) and get
a=3b-b => a=2b then divide the both sides with parameter b and get
a/b=2 => a/b=2/1 => a : b = 2 : 1
4. a/5=b/7 first we will divide the both sides with paremeter b and get
a/(5b)=1/7 now we will multiply the both sides with number 5 and get
a/b=5/7 => a : b = 5 : 7
Good luck!!!
Answer:
x=81
Step-by-step explanation:
all triangles = 180 degrees
180 - 18 = 162
162/2 = 81
81 is your answer
Alright so you need to put this equation in slope-intercept form. So you flip the x across the = sign and switch the sign to get 6y=-x+8.
Then you need y by itself so you divide everything by 6. Which gets you y=-1/6x+8/6.
Now simplify
y=-1/6x+4/3 or y=-1/6x+.75
(4/3 =.75)
