Answer:
the greatest common factor is 3
Ok so for starters you want to choose an equation and solve for a variable.
So, I am going to choose x from the first equation.
Add y to both sides and you get x=11+y
Next, substitute 11+y for x in the other equation so you get...
2(11+y) +10y=-6
Next distribute the 2 throug the 11 and the y
22+2y+10y=-6
12y=-28
y=-28/12
reduce this fraction to make this easier.
y=-7/3
Now plug in why to either of the equations to find x
x-(-7/3)=11
x+7/3=11
x=11-(7/3)
x=(33/3)-(7/3)
x=26/3
so x = 26/3 and y = -7/3
you can also check to see if this is correct by substituting each of these values into the equations.
Answer: it will take 9 hours to empty the pool.
Step-by-step explanation:
The pool is shaped like a rectangular prism with length 30 feet, wide 18 ft, and depth 4ft. It means that when the pool is full, its volume is
30 × 18 × 4 = 2160 ft³
If water is pumped out of the pool at a rate of 216ft3 per hour, then the rate at which the water in the pool is decreasing is in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + d(n - 1)
Where
a represents the first term of the sequence(initial amount of water in the pool when completely full).
d represents the common difference(rate at which it is being pumped out)
n represents the number of terms(hours) in the sequence.
From the information given,
a = 2160 degrees
d = - 216 ft3
Tn = 0(the final volume would be zero)
We want to determine the number of terms(hours) for which Tn would be zero. Therefore,
0 = 2160 - 216 (n - 1)
2160 = 216(n - 1) = 216n + 216
216n = 2160 - 216
216n = 1944
n = 1944/216
n = 9
i think the answer is 8
bc the small one is 4 and the big one is 6
and the other one is 6 so it must be 8
Answer:
-1
Step by step explanation:
Rearrange terms
-6x+7(-x+1)=4(x-4)
Distribute
-6x - 7x + 7 = - 4(x-4)
Combine like terms:
−13+7=−4(−4)
Distribute:
−13+7=−4+16
Subtract 7 from both sides of the equation
−13+7−7=−4+16−7
Simplify
−13=−4+9
Add 4x to both sides of the equation
−13+4=−4+9+4
Simplify
Combine like terms
Combine like terms
−9=9
Divide both sides of the equation by the same term
9x/-9 = 9/-9
Simplify
X= -1
