Answer:
Sian would receive 20 Pounds while Abigail would receive 10 Pounds.
Step-by-step explanation:
Given that Sian is twice as old as her sister Abigail, it means that if Abigail's age is T years then Sian's age would be 2T years.
If they divide 30 pounds in the ratio of their ages, the ratio of their ages will be
T : 2T (Ratio of Abigail's gae to Sian's age)
The amount received by Abigail
= T/(T + 2T) × 30
= T/3T × 30
= 1/3 × 30
= 10 Pounds
The amount received by Sian
= 2T/(T + 2T) × 30
= 2T/3T × 30
= 2/3 × 30
= 20 Pounds
<span>The goal in simplifying numbers
is to reduce it that can be best seen in the eye. Also in
converting units, you must take note of the units given in the problem. If you
don’t, you would get a lot of errors. Length is the measure of distance and can
be best represented by either in SI units or English units. Example of an SI unit is meter, m, and English
unit is feet, ft. You are given 3 inches and 2 feet. You can convert any of the
numbers into a number that would feel comfortable to you. I will take 3 inches.
Note that there are 12 inches in 1 feet. So divide 3 by 12 and you will get ¼ feet.
Then divide 2 feet to ¼ feet and you will get 8.</span>
The sum of the first four terms of the sequence is 22.
In this question,
The formula of sum of linear sequence is
The sum of the first ten terms of a linear sequence is 145
⇒ 
⇒ 145 = 5 (2a+9d)
⇒ 
⇒ 29 = 2a + 9d ------- (1)
The sum of the next ten term is 445, so the sum of first twenty terms is
⇒ 145 + 445
⇒ 
⇒ 590 = 10 (2a + 19d)
⇒ 
⇒ 59 = 2a + 19d -------- (2)
Now subtract (2) from (1),
⇒ 30 = 10d
⇒ d = 
⇒ d = 3
Substitute d in (1), we get
⇒ 29 = 2a + 9(3)
⇒ 29 = 2a + 27
⇒ 29 - 27 = 2a
⇒ 2 = 2a
⇒ a = 
⇒ a = 1
Thus, sum of first four terms is
⇒ 
⇒ 
⇒ S₄ = 2(2+9)
⇒ S₄ = 2(11)
⇒ S₄ = 22.
Hence we can conclude that the sum of the first four terms of the sequence is 22.
Learn more about sum of sequence of n terms here
brainly.com/question/20385181
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Just multiply the base times height times width which would give you 800
The answer is 35/6. Hope you get it!
