Answer: The answer is (b) A is subset of B.
Step-by-step explanation: Two sets A and B are given as follows -
A = {1, 2, 3} and B = {3, 2, 1}.
The given options are
(i) 4 ∈ A. This is not correct, since 4 is a not in the set A.
(ii) A is a subset of B. This option is correct since every element of set A is in set B.
(iii) A is an infinite set. This is also not correct, since A has only 3 elements, so it is a finite set.
(iv) Since option (ii) is correct, so this option is incorrect.
Thus, the correct option is (ii) A is subset of B.
Answer:
The number of gallons of Pi Up required is 900 gallons.
Step-by-step explanation:
Two different drinks that are produced by the beverage producer are Pi Cola which contains 10% Cola and Pi Up which contains 50% cola.
A solution is to be created using Pi Cola and Pi Up to create a new product containing 40% cola.
It has been mentioned that the number of gallons of Pi Up to be used is 300 gallons.
We can write that the number of gallons of Pi Up that must be mixed with 300 gallons of Pi Cola be x gallons.
So we write the first equation and we can say that the total number of gallons of the solution is x + 300.
Equating the percentage of cola from each beverage to get the required 40% cola we can write
(0.1 × 300) + (0.5 × x) = 0.4 × ( x + 300)
If we solve for x from the above equation we get
(0.5 x + 30) = (0.4 x + 120)
⇒ 0.1 x = (120 - 30) = 90
⇒ x = 900 gallons
Therefore the number of gallons of Pi Up required is 900.
Answer:
I agree, because the two lines have an identical slope.
Step-by-step explanation:
General form of the line equation is: y= mx + c
where m is the slope and c is the constant
the slope here is given and equal to 3
so, m= 3
y= 3x +c
to get the constant c, substitute with the point in this equation
y= -2 & x = 1
-2 = 3*1 + c
c = -5
then the equation of the line is y = 3x -5
y = 3x -3 -2
y +2 = 3(x-1)
the answer is (B)
Answer:
Step-by-step explanation:
<u>Unknown value is q.</u>
<u>Solve for the unknown value:</u>
- 6 + q = 25 1/2
- q = 25 1/2 - 6
- 25 1/2 - 6
- = 19 1/2.
- q = 19 1/2.
<h2>
Answer is q = 19 1/2.</h2>
