Algebra Answers

Find three consecutive odd integers such that the sum of the three numbers is 60 less than the square of the largest integer?

The following proof seems to show that 1=2 explain the error clearly
a=b
a^2=ab
a^2-b^2=ab-b^2
(a-b)(a+b)=b(a-b)
a+b=b
b+b=b
2b=b
2=1

The equation -2x^2=13x-45 is not ready for factoring and solving for x explain why. What qualities does it need so that it is ready. Explain how to get. Started solving x.

What is the corks density per cubic centimeter? That is , how many grams of corks are there per cubic centimeter ?

The sum of three consecutive integers is one third the square of the middle number. Find the integers. Write an equation and solve.

A rectangular countertop has an area of 15 ft ^2. If the width is 3.5 ft shorter than the length, what are the dimensions of the countertop? Write an equation and solve.

Are both x^2+16 and x^3+27 factorable? Why or why not (explain).

Which of the following four examples of terms are perfect cubes? Explain your answer to each ( why you put yes or why you put no)
125x^8
1y^12
8c^9
9b^27

Is 125x^8 a perfect cube? Why or why not?

1. A man travels 70km at a certain average speed on a dual carriage way. He then reduces his speed by 30km\h to cover a distance of 50km on a bad road. If the time taken is the same for both parts of the journey, calculate
a. His average speed for each part of the journey
b. The average speed for the whole journey


2. A girl went to shop to buy pineapple and apple .a pineapple costs #2 more than an apple.the girl bought as many pineapples for #60 as she bought pineapples for #54.how much does a pineapple and an apple cost together

3. The sum of the ages of Mr Daniel and his daughter is 60 years.5 years ago the ratio of their ages was 1:4
a. how old are the now
b. find the difference between their ages