Answer:
19.6, B
Step-by-step explanation:
To solve, we need to figure out how many gallons of white paint she needs for every gallon of brown paint.
We are given this equation.
5 gallons of brown paint = 7 gallons of white paint
Divide both sides by 5.
1 gallon of brown paint = 7/5 gallons of white paint = 1.4 gallons of white paint
Now, using this, substitute 14 into the left side.
14 gallons of brown paint = 1.4 * 14 gallons of white paint
14 gallons of brown paint = 19.6 gallons of white paint
Thus, the answer is B, 19.6 gallons
Answer: 82.555
Step-by-step explanation: I used a calculator
Since this is an absolute value equation, it will have two answers. For the first answer, take away the absolute value bars and solve 3x + 1 = 2. Subtract 1 from both sides to get 3x = 1 and divide each side by 3 to get x = 1/3. Now onto the second solution. This time, take away the absolute value bars and make the other side of the equation, the 2, negative, to get 3x + 1 = -2. Now solve this by subtracting 1 from each side to get 3x = -3 and divide each side to get the other answer which is x = -1. The answer is x = -1 or 1/3, hope this helps!
Answer:
A
Step-by-step explanation:
We want to solve the equation:
To do so, we can rewrite the equation.
Recall the double-angle for sine:
By substitution:
Distribute:
We can subtract 3cos(x) from both sides:
And factor:
Hence, our answer is A.
*It is important to note that we should not divide both sides by cos(x) to acquire 10sin(x) = 3. This is because we need to find the values of x, and one or more may result in cos(x) = 0, and we cannot divide by 0. Hence, we should subtract and then factor.
