The distance between David's home and the airport is 210 miles.
<h3>Distance traveled after 1 hour</h3>
let the distance traveled after first 1 hour = y
distance/speed = time
after 1 hour his speed = (35 + 15) = 50 mph
total time after 1 hour and 30 mins = 1.5 hr
y/50 + 1.5 = y/35
multiply through by350
7y + 525 = 10y
3y = 525
y = 525/3
y = 175 miles
In the first 1 hour, at 35 mph, distance covered = 35 miles
Distance from his home to airport = 175 miles + 35 miles = 210 miles
Thus, the distance between David's home and the airport is 210 miles.
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U = {3, 4, 5, 6, 7, 8, 9}
b = {3, 4, 6, 8}
The union of sets P = {5, 6, 7, 8, 9} Q = {1, 2, 3, 4, 5} is given by which of the following? {1, 2, 3, 4, 5, 6, 7, 8, 9} {1, 2,
vaieri [72.5K]
Answer: First option.
Step-by-step explanation:
Given two sets <em>A</em> and <em>B, </em>the union (<em>A</em>∪B) will be the set of elements which belong to either <em>A</em> or to <em>B</em> or to both.
Inf this case you have these two sets:
{
} and
{
}
To find the union of these sets, put together the elements of the set <em>P</em> and the elements of the set <em>Q</em> (you need to remember that no element must be repeated).
Then, you get that the union of sets <em>P </em>and <em>Q</em> is:
∪
{
}
This matches with the first option.
The monthly income is $844.
Given:
- Weekly earning after taxes is $700
- Monthly rent is $725
- Monthly expense for utilities is $125
- Monthly expense for cable/internet is $120
- Monthly expense for cellphone is $35
- Monthly expense for bus fare is $48
- Minimum monthly payment of credit card debt is $78
- Monthly expense for groceries is $600
- Monthly expense for dining out and entertainment is $225
To find: The monthly income
The monthly income refers to the amount of money left over each month after paying all expenses.
Evaluating, we have,
The total monthly expense = $(
)
That is, the total monthly expense is $1956.
It is given that weekly earning after taxes is $700. Since a month contains 4 weeks, we can say that monthly earning after taxes is $(
), that is, $2800.
Then, monthly income is given by the difference between the monthly earnings and the monthly expenses. So, monthly income is $(
), that is, $844.
The monthly income is $844.
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