Answer:
24
Step-by-step explanation:
Given that:
The ratio of band students to choir students is 4 : 6.
Total number of students in the band and choir combined = 60
To find:
The number of students in the band = ?
Solution:
First of all, let us understand the meaning of the ratio given.
Ratio of 4 : 6 means there are 4 number of band students for every 6 number of choir students.
Also, number of band students will be in the multiples of 4 only and
number of choir students will be in the multiples of 6 only
Let the total number of band students = 4
Let the total number of choir students = 6
Total number of students = 60
As per question statement, we can write the following equation:
Total number of band students = 4 
6 = <em>24</em>
Answer:
36
Step-by-step explanation:
make proportion giants to elves
120/144 = 90/x cross multiply
120x =144*90
120x =12960 divide by 120
x = 108
so if there are 90 giants in the theater there are 108 elves also
considering that total 144 elves can be in the theater subtract 144 and 108 so 36 more elves can be admitted
p = number of items sold (note: this is not the profit)
1 item sells for $855, so p items sell for 855p dollars
Subtract off the cost of 6780 and we have the expression 855p-6780 which is the profit for that given month.
Now plug in p = 250 because 250 items were sold in that given month
855*p - 6780 = 855*250 - 6780 = 206,970
The company earns $206,970 in profit for that month. Apply 15% to this value
15% of 206,970 = (15/100)*206,970 = 0.15*206,970 = 31,045.50
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Answer: $31,045.50 which is choice C
I see two ways to do it.
First, you have to understand that when you see a 'complex fraction' like this, the top number is a numerator, and the two bottom numbers are both denominators.
Way-1:
Take the top fraction . . . 2/2 . That's equal to 1 . So the whole thing is <em>1/3</em>.
Way-2:
Multiply the bottom two denominators. Then the whole thing is 2/(2·3) . That's the same thing as 2/6 . Simplify that, and you have <em>1/3</em> .
The line x = -5 is a vertical line, therefore the line perpendicular to this line is the horizontal line of the form y = a.
We know that it passes through the point (1, π) → x = 1, y = π.
Therefore we have answer: A) y = π.
