Question

1. the population of tunaville was 340 less than the population of thorton. the population of tunaville was 4360. what was the population of thorton?
2. what part of a building is perpendicular to the floor?

a wall b. ceiling c. roof

1. what fraction of the large triangle is shaded?
2. what percent of the triangle is not shaded?
3. what are the next three numbers in this sequence?

...,1600,1700,1800,__,,__,...

Explanation:

Step1: Solve problem 1

Let the population of Thorton be \(x\). Given \(x - 340=4360\). Then \(x = 4360 + 340=4700\).

Step2: Solve problem 2

A wall is perpendicular to the floor. A ceiling is parallel to the floor (in a standard building), and a roof is at an angle (usually not perpendicular).

Step3: Solve problem 3

The large triangle is divided into 4 equal - sized smaller triangles. 3 are shaded. So the fraction is \(\frac{3}{4}\).

Step4: Solve problem 4

If \(\frac{3}{4}\) is shaded, then \(1-\frac{3}{4}=\frac{1}{4}\). Convert \(\frac{1}{4}\) to a percentage: \(\frac{1}{4}\times100\% = 25\%\).

Step5: Solve problem 5

The sequence has a common difference of \(100\) (\(1700 - 1600=100\), \(1800 - 1700 = 100\)). So the next numbers are \(1800+100 = 1900\), \(1900 + 100=2000\), \(2000+100 = 2100\).

Answer:

1. \(4700\)
2. a. Wall
3. \(\frac{3}{4}\)
4. \(25\%\)
5. \(1900\), \(2000\), \(2100\)