Answer:
61.2
Step-by-step explanation:
To solve this, we would have to use the arithmetic progression formula
S(n) = a + (n - 1) d, where
S(n) = is the value of the nth term
a = value of the first term
n = the nth term we're interested in
d = difference between successive terms
We're given that the first term, a1 = 1.we also know that the 6th term, a6 = 44
If so, we can use this to get our "d", saying
44 = 1 + (6 - 1) d
where
44 is the value of the 6th term, and n is 6. Also, the first term a = 1. Simplifying further we have
44 = 1 + 5d
5d = 44 - 1
5d = 43
d = 43/5
d = 8.6
This means that the difference between successive term is 8.6, we then use this "d" to find our 8th term
S(n) = 1 + (8 - 1) 8.6
S(n) = 1 + 7 * 8.6
S(n) = 1 + 60.2
S(n) = 61.2
Therefore, the 8th term is 61.2
4s + 3p = 85.50......multiply by 3
3s + 5p = 115.........multiply by -4
----------------
12s + 9p = 256.50 (result of multiplying by 3)
-12s - 20p = -460 (result of multiplying by -4)
---------------add
-11p = - 203.50
p = -203.50 / -11
p = 18.50 <=== the cost of a pair of pants
3s + 5p = 115
3s + 5(18.5) = 115
3s + 92.50 = 115
3s = 115 - 92.50
3s = 22.50
s = 22.50/3
s = 7.50 <=== the cost of each shirt
Given,
The carrot comes in pack of 80
Zunchie comes in the pack of 40
The paper comes in the pack of 50.
To find,
The fewest number of each kind of seed that farmer brown will buy.
Solution,
To find least no of each kind, we must take the LCM of the above numbers such that,
The prime factors of the given numbers are :
80 = 2 × 2 × 2 × 2 × 5
40 = 2 × 2 × 2 × 5
50 = 2 × 5 × 5
LCM of 80,40 and 50 = 2 × 2 × 2 × 2 × 5 × 5
= 400
He should buy,
400/80 = 5 carrot seeds
400/40 = 10 zunchie seeds
400/50 = 8 papper seeds.
<h2>Hello There today we will solve your problem</h2>
<em>Response-</em>
<em>ABC is absolutely a right triangle</em>
<em>we can use the pythagorean theorem to solve this</em>
<h3><em>Definitions</em></h3>
Right Triangle - <em>A right triangle or right-angled triangle, or more formally an orthogonal triangle, is a triangle in which one angle is a right angle. The relation between the sides and other angles of the right triangle is the basis for trigonometry. The side opposite to the right angle is called the hypotenuse.</em>
Pythagorean Theorem - <em>In mathematics, the Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.</em>
<em>_________________</em>
<em>To use to the Pythagorean Theorem it is</em>
For our equation would be would be
<em>_________________</em>
<h2><em>Solve</em></h2>
Since we got this is a right triangle since it's what we had before.