Answer:
60%
Step-by-step explanation:
You can solve this problem by setting up a system of equations.
Let's say that the number of tickets bought by students in the first year is x, and the number bought by continuing students is y. From there, you can set it up like this:
0.4x+0.2y=160
x+y=500
Now, you can multiply the first equation by 5 on both sides to get:
2x+y=800
Subtracting the second equation from the first equation now yields:
x=300
y=200
Since 300 of the 500 tickets bought were from the first year students, and 300/500 is 0.6, 60% of the students who bought the ticket were first year students. Hope this helps!
<h3>
Answer: choice B) 36</h3>
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Explanation:
The vertical sides, when read from left to right, can be divided to get this fraction: 9/90
Following the same order and direction, we divide the slanting corresponding sides to get: b/360
The fractions we constructed are equal to one another, as the triangles are said to be proportional.
We have the fraction 9/90 = b/360
Lets cross multiply and solve for b
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9/90 = b/360
9*360 = 90*b
3240 = 90b
90b = 3240
90b/90 = 3240/90
<h3>b = 36</h3>
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A quick way to do this may be to notice how the jump from 9 to 90 is "times 10" so the jump from b to 360 is also "times 10". Think in reverse to divide 360 over 10 and we land on 36 as our answer. This line of thinking does not work as simple for all proportional problems.
A "learning rate" expresses the ratio of the labor spent on the n-th item to that spent on the (n/2)-th item. That is, the 8th helicopter manufactured took days related by ...
0.8 × (days for 8th) = (days for 16th)
(days for 8th) = (days for 16th)/0.8 = 1.25×(days for 16th)
Then the days for the 4th are 1.25 times that, and the days for the 2nd are 1.25 times the days for the 4th. The days for the first helicopter will be
... 1.25⁴×106.496 days = 260 days
The appropriate choice is
... d. 260
<h2>
Answer:</h2>
This is easy. All you need to do is set up a <u><em>proportional relationship</em></u>.
A proportional relationship uses variables to show similarities, in this case, in triangles.
<u><em>x</em></u> represents the missing side.
Solution:
Matte Satin Glossy Total
Homeowners 0.08 0.20 0.24 0.52
Contractors 0.04 0.26 0.18 0.48
Total 0.12 0.46 0.42 1
Approximately what percentage of contractors prefer the glossy finish?
Answer: Percentage of contractors who prefer the glossy finish is:
or 
Therefore, the option D. 37.5% is correct
