<u>Question 1</u>
The complement of set B is all the elements in S but that are not in B, which is .
We want to find the intersection of set A and the complement of set B, which is the set of all elements that both sets contain.
This is {2, 9, 10, 12}, meaning there are 4 elements.
<u>Question 2</u>
Following a similar logic as the last problem, the complement of set A is .
Therefore, the desired set is , and thus there are 6 elements.
2x-5=0
2x=5
x=5/2
i hoped this helped :-)
- D is the number of dogs
-C is the number of cars
*4×15=60
Answer:
18 parts of the 25% acid solution and 12 parts of the 50% acid solution
Step-by-step explanation:
(a) Let the system of equations be
(1) A × x + B × y = 0.4 × 30
and A + B = 30
where x = 25% acid solution and y = 50% acid solution
Simplifying, we get
A × 0.25 + B × 0.5 = 0.4 × 30 = 12
or (i)A + 2 × B = 48
and (ii) A + B = 30
b) See the attached graph
as the 25% acid solution is increasing the 50% acid solution also increases
c) From the equations
(i)A + 2 × B = 48
and (ii) A + B = 30
we get from equation (ii) A = 30 - B
Substituting for A in equation (i) we get
A + 2 × B = 48 ▶ 30 - B + 2 × B = 48
or 30 + B = 48 or B = 12
and A + B = 30 or A = 30 - B = 30 - 12 = 18
A = 18 and B = 12
Answer:
x = 26
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , then
x + 3x + 5x - 54 = 180 , that is
9x - 54 = 180 ( add 54 to both sides )
9x = 234 ( divide both sides by 9 )
x = 26