1/6x = 2.....multiply both sides by the reciprocal 6/1
(6/1)(1/6)x = 2(6/1)
1x or just x = 12
Answer:
D. (3, -2)
Step-by-step explanation:
The point where both lines meet is the solution to the system of equations.
Answer:
540x+680y<=20000
Step-by-step explanation:
x will be the number of laptops. Since they are $540 each, 540x is the amount spent on laptops, depending on how many (x) are purchased.
y will be the number if desktops. Since they are $680 each, 680y is the amount spent on desktops, depending on how many (y) are purchased.
Adding all the money spent on laptops and desktops, we get
540x + 680y. This amount must be less than the $20000. It can be exactly $20000 also. But it cannot be more than $20000.
540x+680y<=20000
Answer:
170 children
74 students
85 adults
Step-by-step explanation:
Given
Let:

For the capacity, we have:

For the tickets sold, we have:

Half as many as adults are children implies that:

Required
Solve for A, C and S
The equations to solve are:
-- (1)
-- (2)
-- (3)
Make C the subject in (3)

Substitute
in (1) and (2)
-- (1)


Make S the subject

-- (2)



Substitute 



Solve for A


Recall that: 


Recall that: 



Hence, the result is:



Attached is a screenshot of spreadsheet used to do this problem.
You will see the excel functions used for each column. The average score is highlighted in blue.