Divya is painting a room. She uses 3/4 gallon of paint to cover 1/5 of a wall. If the walls are all the same size how much paint
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Answer:
Average size of the lots = ⅓ acre
Step-by-step explanation:
The question incomplete without specifying what we are to determine.
Question:A builder is buying property where she can build new houses. The line plot shows the sizes for each house. 1/6 has 6 X's 1/3 has 3 X's and 1/2 has 6 X's. Organize the information in a line plot. What is the average size of the lots? _________ acre
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Solution:
We are asked to organize the information in a line plot. See attachment for the line plot.
Given: 1/6 has 6 X's 1/3 has 3 X's and 1/2 has 6 X'sIn no particular order, the sizes of the lots are:1/6, 1/6, 1/6, 1/6, 1/6, 1/6, 1/3, 1/3, 1/3, 1/2, 1/2, 1/2, 1/2, 1/2 and 1/2 acre.
Let's count the number of lot for each size given.
For 1/6: there are 6 X's on the line plot of 1/6 number of lot for 1/6
= the lot × number of times it occurs
= (1/6) × 6 = 6/6 = 1 acre
For 1/3: there are 3 X's on the line plot of 1/3 number of lot for 1/3 = the lot × number of times it occurs
= (1/3) × 3 = 3/3 = 1 acre
For 1/2: there are 6 X's on the line plot of 1/2 number of lot for 1/2
= the lot × number of times it occurs
= (1/2) × 6 = 6/2= 3 acres
To find average size of the lots, we would sum all lot for each given size then divide by the total number of lots given.Sum of all lot for each given size = 1+1+3
Sum of all lot for each given size = 5
The total number of lots given = 15
Average size of the lots = 5/15 = 1/3
Average size of the lots = ⅓ acre
The 3-D shape would be created if the figure was rotated around the x-axis is a cone
<h3>What are 3-D shapes?</h3>3-D shapes (short form of 3-Dimensional shapes) are shapes that have width, length and height
<h3>How to determine the 3-D shape?</h3>The coordinates are given as:
(0, 0), (-3, -4) and (-3, 0)
When the above coordinates are plotted on a coordinate plane and the points are connected;
We can see that the points form a right-triangle
See attachment for the shape
As a general rule
Rotating a right-triangle across the x-axis would form a cone
Hence, the 3-D shape would be created if the figure was rotated around the x-axis is a cone
Read more about rotation at:
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