Fator by grouping ab+2a+5b+10
1 answer:
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Answer:
quarts
12 days
Step-by-step explanation:
Given that:
Amount of water leaked in 4 days = 3 quarts
To find:
Number of quarts leaked in 1 week?
Number of days taken for the leakage of 9 quarts of water?
Solution:
We can simply use unitary method or the ratio to find the answers of the questions asked in the statement.
As per question statement:
Amount of water leaked in 4 days = 3 quarts
Dividing by 4 on both sides:
Amount of water leaked in 1 day = quarts
Multiplying by 7 on both sides:
Amount of water leaked in 7 days = quarts
Number of days taken for the leakage of 3 quarts = 4 days
Multiplying by 3 on both sides:
Number of days taken for the leakage of 3 3 = 9 quarts = 4
3 = <em>12 days</em>
Answer:
Step-by-step explanation:
<u>Key skills needed: Explicit formula, Geometric sequence</u>
1) This is a geometric sequence, meaning a constant (like 6 or 3.5) is being multiplied to every term. First we need to find the constant.
This can be done by doing -42 ÷ 7 or 252 ÷ -42
-42 ÷ 7 equals -6.
252 ÷ -42 also equals -6.
2) This means that constant is -6.
3) The general form for an explicit formula of a geometric sequence is:
--> r means the constant (or common ratio) that is being multiplied.
--> means the first term
--> means the "nth" numbered term (so
is the 3rd term,
is the 10th term and so on).
--> is just the "n" in
minus 1.
4) We can use this formula to create an explicit formula for the geometric sequence in the problem.
--> (Since we got -6 as the constant/common ratio).
--> (Since 7 is the 1st term)
This means that our formula would be -->
<em>Hope you understood and have a nice day!! :D</em>