Question:
A cinema can hold 270 people at one performance 5/9 of the seats were occupied of the occupied seats 40% we occupied by concessionary ticket holders.
What is the number of seats occupied by concessionary ticket holders?.
Answer:
60 seats
Step-by-step explanation:
Given
Number of seats = 270
Occupied Seats = 5/9
Concessionary ticket holders = 40% of occupied Seats
Required
The number of seats occupied by concessionary ticket holders
First the number of occupied seat has to be calculated.
Next is to determine the number of seats occupied by concessionary ticket holders.
Convert percentage to decimal
<em>Hence, 60 seats were occupied by concessionary ticket holders.</em>
Answer:
5 sqrt2.
Step-by-step explanation:
sqrt8 = sqrt4 * sqrt2 = 2 sqrt2
sqrt18 = sqrt9 * sqrt2 = 3 sqrt2
So simplifying:
5sqrt 8 - sqrt18 - 2 sqrt2
= 5*2sqrt2 - 3 sqrt 2 - 2 sqrt2
= 10 sqrt2 - 5 sqrt2
= 5 sqrt2 (answer).
Answer:
Domain of f(p) = [0,∞), where it belongs to whole numbers only
Step-by-step explanation:
The domain is the set of all possible values of independent variable for which function is defined
As in the given function f(p), we have the independent variable p. As p is the number of people working on the project, so it means either the number of people could be 0 or it could be anything greater than 0, like it could be equal to thousand or ten thousand, but it can not be fraction in any case.
So, the domain is set of whole numbers starting from 0.
Domain of f(p) = [0,∞)
The domain is the set of allowed inputs, in this case t values. The smallest t value allowed is t = 0. The largest is t = 165. So that's why the domain is
-------------------------------
The range is
since H = 0 is the smallest output of the function and H = 40,000 is the largest output. Like the domain, the range is the set of possible outputs of a function.
Answer:
see explanation
Step-by-step explanation:
Parallel lines have equal slopes.
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 5x + 1 ← is in slope- intercept form
with slope m = 5
Rearrange 2y - 10x + 3 = 0 into this form
Add 10x to both sides
2y = 10x ( subtract 3 from both sides )
2y = 10x - 3 ( divide all terms by 2 )
y = 5x - 
← in slope- intercept form
with slope m = 5
Since both lines have a slope of 5 then they are parallel.
