# Algebra Problems to finding speed

Please help with answers to the attached question/problems. I need the detail instructions as to how problems are figured out.

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!

Please see the attachment.

Section 2

Question 58

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

Answer

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)

Answer

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?

Answer

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.

Answer

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.

Answer

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).

Answer

The solution is, 1 â‰¤ y < âˆž

Question number 60

3x >9

Answer

3x > 9

That is, x > 9/3

That is, x > 3

That is, 3 < x < âˆž .

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