40,000 divided by 20 = 500
500 x 12 (which was 20-8)= 6,000
6,000 students
Answer: 4 cup
Step-by-step explanation:
Here, the total number of cups in lemonade = 20 cups
In which some are cup of lemon juice and some are cups of water.
And, the ratio of cups of lemon juice and water in one lemonade = 1 : 4
Let the cups of lemon juice in one lemonade = 1 x
And, The cups of water in one lemonade = 4 x
Where x is any number.
Thus, 1 x + 4 x = 20
⇒ 5 x = 20
⇒ x = 20/5 = 4
Thus, Damon uses 4 cup of lemon juice in one lemonade.
The length of PQ is 19.66 units
Step-by-step explanation:
The given is:
1. PK = KQ = 12
2. m∠P = 35º
We need to find the length pf PQ
∵ PK = KQ
∴ m∠P = m∠Q
∵ m∠P = 35°
∴ m∠Q = 35°
The sum of measures of the angles of a triangle is 180°
∴ m∠P + m∠Q + m∠K = 180°
∴ 35 + 35 + m∠K = 180
∴ 70 + m∠K = 180
- Subtract 70 from both sides
∴ m∠K = 110°
Let us use cosine rule to find the length of PQ
∵ PQ = 
∵ PK = 12 , KQ = 12 , m∠K = 110°
- Substitute these values in the rule
∴ PQ = 
∴ PQ = 19.66
The length of PQ is 19.66 units
Learn more:
You can learn more about triangle in brainly.com/question/12985572
#LearnwithBrainly
8 1/2 / 2 5/6
<span>17/2 / 17/6 </span>
<span>1/2 / 1/6 </span>
<span>3 </span>
Answer:
The value of x = -1 makes the denominator of the function equal to zero. That is why this value is not included in the domain of f(x)
Step-by-step explanation:
We have the following expression

Since the division between zero is not defined then the function f(x) can not include the values of x that make the denominator of the function zero.
Now we search that values of x make 0 the denominator factoring the polynomial 
We need two numbers that when adding them get as a result -1 and when multiplying those numbers, obtain -2 as a result.
These numbers are -2 and 1
Then the factors are:

We do the same with the numerator

We need two numbers that when adding them get as a result 4 and when multiplying those numbers, obtain 3 as a result.
These numbers are 3 and 1
Then the factors are:

Therefore

Note that
only if 
So since
is not included in the domain the function has a discontinuity in 