2 quarts in 1/2 a gallon
2 pints in a quart
1 pint is 16 ounces
7 1/2 pints total
7 1/2 * 16 = 120 ounces
120/ 6= 20 6 ounce servings
Option B. 13π/6 and Option D. 5π/6
To get the reference angle π/6 for the given angles we will check each angle given in the options.
A. 8π/6
Since 8π/6 means 240° which lies in 3rd quadrant. Therefore reference angle of 240°= 240-180 = 60° or π/3
B. 13π/6
13π/6 means 390° which lies in first quadrant.
Therefore reference angle = 390-360 = 30° or π/6
C. 3π/6
Since 3π/6 means 90° therefore reference angle of 90° is the same as 90°.
Or the reference angle is = π/2
D. 5π/6
5π/6 means angle is 150° which lies in second quadrant therefore reference angle of 150° = 180-150 = 30° or π/6
answer is Option B and D.
<u>Answer</u>
3.5 hours.
<u>Explanation</u>
The first step is to calculate the constant of proportionality.
t ∝ 1/n
t = k/n Where t = time, K= constant and n = number of people
t = k/n
k =tn
= 5×7 = 35
The equation becomes;
t = 35/n
for n = 10,
t = 35/10
t = 3.5 hours.
Givens
x + y = 3
x =6 - 4y
Solution
Use the top equation to substitute for x in the second equation.
x = 3 - y
Put this result into the second given equation and solve for y
3 - y = 6 - 4y Add 4y to both sides.
3 - y + 4y = 6 Combine on the left
3 + 3y = 6 Subtract 3 from both sides
3 - 3 + 3y = 6 - 3 Combine
3y = 3 Divide by 3
3y/3 = 3/3 Combine
y = 1
=========================
x + y = 3 but y = 1
x + 1 = 3 Subtract 1 from both sides.
x + 1 - 1 =3 - 1
x = 2
Answer
x = 2
y = 1
Answer:
2
x + 3y − 6
Step-by-step explanation:
If you simplify you should get 2
x + 3y − 6
