30t + 20c =< 300
5t + 10c =< 110
10c =< 110-5t
30t + 220-10t =< 300
20t =< 80
t = 4
120c + 20c =< 300
20c = 180
c = 9
The <em>correct answer</em> is:
A∪B={}
Explanation:
Since A∩B = ∅, we know that A and B have no elements in common. This means they are disjoint.
Since the universal set is made up of A and B, and A and B have no elements in common, then A is equal to the complement of B, or A = B'.
Since A and B have no elements in common, A is not a subset of B.
Since we are told at the beginning that A and B are not the empty set, there is no way that their union would be empty. The union of A and B, or A∪B, would contain at least two distinct elements, one from A and one from B.
Answer:
240 miles
Step-by-step explanation:
To solve this we need to write an equation. For this problem let <u>d be the distance traveled</u>. We know that the new train (being much more modern than poor old Thomas who is long retired) can go 20% further. To show this we will take 20% of 200 and then add that to the original distance.
Our equation would look something like this:
d=200+(20%·200)
[one more little note: to find percentage take your percent and convert it into a decimal 20%=0.2)
d=200+(0.2·200)
d=200+40
<u>d=240</u>
Answer:
Men it's a really long process and I've just woken up men
<span><u><em>Answer:</em></u>
Dave makes $350
<u><em>Explanation:</em></u>
In order to find this answer, we must first establish the equation for his earnings.
<u>We use slope intercept form:</u>
y = mx + b,
where m = slope and b = y-intercept.
Since the problem states that his commission percentage is the slope and his base salary is the y-intercept, we can use them in the equation <u>to get the following: </u>
y = 0.1x + 200.
Now knowing that the x is the amount he sells, we can use the $1500 as x to find his total pay for the week:.
y = 0.1(1500) + 200,
y = 150 + 200,
y = 350. </span>
