Step-by-step explanation:
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Answer:
First term: 5
Fourth term: 5 1/2
Tenth term: 6 1/2
Step-by-step explanation:
Let's find the first, fourth and tenth terms of the arithmetic sequence described by the given rule:
A(n) = 5 + (n-1) (1/6)
First term:
A(1) = 5 + (1-1) (1/6)
A(1) = 5 + (0) (1/6)
A(1) = 5
Fourth term:
A(4) = 5 + (4-1) (1/6)
A(4) = 5 + (3) (1/6)
A(4) = 5 + 3/6 = 5 3/6 = 5 1/2 (simplifying)
Tenth term:
A(10) = 5 + (10-1) (1/6)
A(10) = 5 + (9) (1/6)
A (10) = 5 + 9/6 = 6 3/6 = 6 1/2 (simplifying)
Answer: The length of the shortest piece is 16 inches
The length of the medium piece is
20 inches
The length of the longest piece is 25 inches.
Step-by-step explanation:
Total length of the party sandwich is 61 inches. This length is to be cut into three different pieces.
Let x= the size of the longest piece.
Let y = the size of the medium piece.
Let z = the size of the shortest piece.
The middle piece will be 4 inches longer than the shortest piece. This means that
y = z + 4 - - - - - - 1
The shortest piece will be 9 inches shorter than the longest piece. This means that
x = z +9 - - - - - - -2
Since total length of the party sandwich is 61 inches, it means that
x + y + z = 61 - - - - - - -3
We will substitute equation 1 and equation 2 into equation 3. It becomes
z + 9 + z + 4 + z = 61
13 + 3z = 61
3z = 61 - 13 = 48
z = 48/3 = 16
y = z + 4 = 16 + 4
y = 20
x = z + 9 = 16 + 9
x = 25
Answer:
im not sure but i think i hvae the answer in my phone but it has to chrge
Step-by-step explanation:
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Story : A Dog’s Tale by Mark Twain
4. Read this sentence from the selection.
“Whenever she heard a large word she said it over to herself many times, and so was able to keep it until there was a dogmatic gathering in the neighborhood.”
In this sentence the word dogmatic is used as —
• an insightful simile
• a descriptive metaphor
• a humorous play on words
• an illuminating allusion
5. In the last paragraph the narrator says his mother would “fetch out a long word.” The connotations of the word fetch remind the reader that the narrator’s mother —
• is well educated
• is a dog
• knows lots of big words
• likes to show off
8. What is ironic about the author’s mother showing off with her knowledge of the word unintellectual?
• Her child knew she didn’t understand the word correctly.
• The strangers all already knew the meaning of the word.
• As any intellectual would know, the word should be “nonintellectual.”
• She did not know any synonyms for the word.
9. Which type of person is most like the author’s mother?
• A high-performing student with an excellent memory for words
• A very verbal person who always has a quick answer that sounds good
• A dishonest person who tells lies on a regular basis
• A person who likes dogs a lot and works at a veterinary clinic
