Answer: x=7
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2(6x+5)=94
(2)(6x)+(2)(5)=94(Distribute)
12x+10=94
Step 2: Subtract 10 from both sides.
12x+10−10=94−10
12x=84
Step 3: Divide both sides by 12.
12x
12
=
84
12
x=7
Answer:
Step-by-step explanation:
<u><em>The complete question is</em></u>
Jessica has 84.5 yards of fabric to make curtains. She makes 6 identical curtains and has 19.7 of fabric remaining. How many yards of fabric does Jessica use per curtain?
Let
x-------> amount of yards of fabric that Jessica used per curtain
we know that
The length of 6 identical curtains plus the length of the fabric remaining, must be equal to the total yards of fabric'
so
The linear equation that represent this situation is
Solve for x
Answer:
-2x + 2
Step-by-step explanation:
2x - 3 - 2y - 4x + 2y + 5
2x - 4x + 2y - 2y + 5 - 3
-2x + 2
You'll need to use differentiation (specifically, implicit differentiation) here.
If x^2 = 4(y+6), differentiating both sides with respect to time t produces the following:
2x (dx/dt) = 4([dy/dt]) (note that (d/dt) 6 = 0)
We need to solve for (dx/dt). Substitute 8 for x (y does not appear in this latest equation, so we do nothing with y=10). Substitute the given 5 units/sec for dy/dt:
2(8)(dx/dt) = 4(5)(units/sec)
Solving for dx/dt, dx/dt = [20 units/sec]/16, or 5/4 units/sec, or 1.25 units/sec.
