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Algebra Problems to finding speed

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Section 2.2

Question 58

1/3x + 1/4 =1/6-x

Question number 72

5x = 15-2 (x + 7)

Section 2.3

Question Number 32 (Word problem)

There were 77 birds on the endanger species list in 2005. This is 7 more than 5 times the number of reptiles list. How many reptiles were on the endangered species list in 2005?

Question number 56 (Word problem)

In 2000, about 457,000 people received a master's degree, and by 2005 this number had increased to 506,000. Find the percent change in the number of master's degrees received over this time period.

Question Number 72 (Word problem)

A pilot flies a plane at a constant speed for 5 hours and 30 minutes, traveling 715 miles. Find the speed of the plane in miles per hour.

Section 2.4

Write the solution set to the inequality in interval notation.

Question 30

y >_ 1 (the top symbol is over the bottom).

Question number 60

3x >9.

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SOLUTION This solution is FREE courtesy of BrainMass!

Section 2
Question 58
1/3x + 1/4 =1/6-x
Give equation is

That is,
That is,
That is,
That is, 16x - 24 = 18x - 3x2
That is, 3x2 - 2x - 24 = 0
=
Question number 72
5x = 15-2 (x + 7)
Given equation is, 5x = 15-2 (x + 7)
That is, 5x = 15 - 2x - 14
That is, 3x = 1
Therefore, x = 1/3
Section 2.3
Question Number 32 (Word problem)
There were 77 birds on the endanger species list in 2005. This is 7 more than 5 times the number of reptiles list. How many reptiles were on the endangered species list in 2005?
Let x be the number of reptiles list in 2005. Then the number of birds on the endanger species list is 5x + 7.
Given that, 5x + 7 = 77
That is, 5x = 70
Therefore, x = 70/5 = 14
Hence the number reptiles were on the endangered species list in 2005 = 14
Question number 56 (Word problem)
In 2000, about 457,000 people received a master's degree, and by 2005 this number had increased to 506,000. Find the percent change in the number of master's degrees received over this time period.
Number of people received a master's degree in 2000 = 457,000
Number of people received a master's degree in 2005 = 506,000
Increase in the number of people = 506,000 - 457,000 = 49,000
Therefore, percent change in the number of master's degrees = (49,000/457,000) * 100
= 10.72%
Question Number 72 (Word problem)
A pilot flies a plane at a constant speed for 5 hours and 30 minutes, traveling 715 miles. Find the speed of the plane in miles per hour.
Total miles travelled = 715 miles
Total time of travel = 5 hours and 30 minutes = 5.5 hours
Therefore, speed of the plane = 715/5.5 = 130 miles per hour
Section 2.4
Write the solution set to the inequality in interval notation.
Question 30
y >_ 1 (the top symbol is over the bottom).
The solution is, 1 ≤ y < ∞
Question number 60
3x >9