Find the 14th term of the geometric sequence 10,40,160
1 answer:
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Answer:
20 fence posts.
Step-by-step explanation:
Calvin is building a fence. The fence will enclose a 100 square foot area, 10 ft wide by 10 ft long. Calvin can put fence posts 2 feet apart.
Now, if he puts a fence post at each corner of the building, then considering each length of the building there will be posts along each length.
Now, considering each width of the building there will be posts (excluding the corner posts) along each width.
Therefore, in total there will be (6 + 6 + 4 + 4) = 20 fence post in the total fence. (Answer)
Problem 33
Use the distributive property on the side containing parentheses of each expression and compare it to the other side.
a) 3(5a + 3) = 15a + 9 not equal to 15a + 6
b) 2(7b - 2) = 14b - 4 not equal to 14b + 4
c) 5(2c + 3) = 10c + 15 not equal to 7c + 8
d) 3(d + 5/3) = 3d + 5 which is equal to 3d + 5
Answer for problem 33: d)
Problem 34
Use a proportion. Let the unknown number of bowls be x. The proportion is made up of two ratios that are set equal to each other. Set each ratio as a ratio of the number of avocados per bowls of guacamole. 3 avocados per 1 bowl (3/1) equals 17 avocados per x bowls (17/x).
Answer: 17/3 full bowls which is the same as 5 2/3 full bowls.