According to the problem we start with 6000 gal of E10 which means there is 10% of ethanol in this 6000, with ths information we can calculate the amount of ethanol already in the mixture:
The relationship between ethanol and total fluid can be represented like this:
Based on this relationship we can build the one that we are looking for:
the total solution will be:
where X is the E5 solution volume
and the TotalEthanol would be:
where E5ethanol (5% Ethanol 95% Gasoline) would be:
Now replacing in the relationship we found before:
Solving for X:
We should mix 1500 gal of E5 to make an E9 mixture
Step-by-step explanation:
x = -2
is a given.
now use this also in the first equation :
y = 2/3 × -2 + 3 = -4/3 + 9/3 = 5/3
so, [-2, 5/3] is correct
Answer:
x = ∞ infinite solutions or 0
HI = infinite solutions
ID = infinite solutions.
Step-by-step explanation:
Oh okay I got this now!
ID + HI = DH
ID + 2x - 4 = 4x + 10 (subtract 2x on both sides)
ID - 4 = 2x + 10 (add 4 on both sides)
ID = 2x + 14
So now ID + HI = DH
2x + 14 + 2x - 4 = 4x + 10 (simplify)
4x + 10 = 4x + 10 (subtract 10 on both sides)
4x = 4x (minus 4x on both sides)
0 = 0
I would plug in 0 as x.
Hope this helps!
Answer:
-27 + -13 = -40
Step-by-step explanation:
Answer:
Option A is correct
reflection across the x-axis
Step-by-step explanation:
The rule for reflection across x-axis is given by:
As per the statement:
The coordinate of triangle ABC are:
A(−4,−3) , B(−7,1) and C(−1,−1).
The coordinate of triangle A'B'C' are:
From the given diagram we have;
A'(-4, 3), B'(-7, -1) and C'(-1, 1)
Apply the rule of reflection across x-axis on ABC we have;
Therefore, the reflection results in the transformation of △ABC to △A'B'C' is, reflection across the x-axis
