2/3 = x/(3x + y)
Cross multiply:
3x = 2(3x + y)
Distribute 2:
3x = 6x + 2y
Subtract 6x to both sides:
-3x = 2y
Divide 'y' to both sides:
-3x/y = 2
Divide -3 to both sides:
x/y = -2/3
Answer:
x = 133
Step-by-step explanation:
147-14 = 133
Multiply the decimal version of the percent by the total number of hours in a day (24). For example, 26% of the day is 0.26 * 24 = 6.24 hours.
Answer:
C. 5/8+3/8=8/8
Step-by-step explanation:
mark me
<h3>Given</h3>
tan(x)²·sin(x) = tan(x)²
<h3>Find</h3>
x on the interval [0, 2π)
<h3>Solution</h3>
Subtract the right side and factor. Then make use of the zero-product rule.
... tan(x)²·sin(x) -tan(x)² = 0
... tan(x)²·(sin(x) -1) = 0
This is an indeterminate form at x = π/2 and undefined at x = 3π/2. We can resolve the indeterminate form by using an identity for tan(x)²:
... tan(x)² = sin(x)²/cos(x)² = sin(x)²/(1 -sin(x)²)
Then our equation becomes
... sin(x)²·(sin(x) -1)/((1 -sin(x))(1 +sin(x))) = 0
... -sin(x)²/(1 +sin(x)) = 0
Now, we know the only solutions are found where sin(x) = 0, at ...
... x ∈ {0, π}