<h3>Given</h3>
- Set A: A = {-26, -25, -24, -23, - 22, - 21}
- Set B: B ∈ {x: x is even, x ≥ 6 and x ≤ 20}
<h3>(a) </h3>
<em />
<em>Cardinality means the number of elements in the set.</em>
Cardinality of the set A:
n(A) = 6, since we can count 6 elements.
Set B has even numbers between 6 and 20, both included:
- B = {6, 8, 10, 12, 14, 16, 18, 20}
Then its cardinality is:
<h3>(b) </h3>
To solve this we need to compare the elements of sets A or B with numbers given:
- -22 ∈ A, True ⇒ -22 is listed as element of A
- 6 ∈ B, True ⇒ 6 is listed as element of B
- - 21 ∉ A, False ⇒ - 21 is listed as element of A
- 2 ∈ B, False ⇒ 2 is not listed as element of B
Answer:
b
Step-by-step explanation:
We call two numbers a and b, notice a>b
<span>The sum of two numbers is 110: a+b=110
</span><span>The larger number is 2 less than 7 times the smaller: a=7b-2
And by replacing a=7b-2 we have an equation: 7b-2+b=110
or 8b=110+2, and 8b=112, that means b=112:8= 14
We have two numbers: 14 and 96</span>
Answer:
she
Step-by-step explanation:
bc c
<u>Answer:</u>
y = 94.5 cups
<u>Step-by-step explanation:</u>
Let's say:
- y = oats
- x = chocolate chips = 212
=> Full Recipe = 212 + y
=> 2(Full Recipe) = 2(212 + y) = 613 cups
=> 2(Full Recipe) = 424 + 2y = 613 cups
=> 2y = 613 - 424
=> 2y = 189
=> y = 94.5
Therefore, the required oats to do double the recipe is 94.5 cups.
Hoped this helped.
