The ratio of the geometric sequence 40
is 2.
Given that geometric sequence is 40* and we have to find the common ratio of all the terms.
Geometric sequence is a sequence in which all the terms have a common ratio.
Nth termof a GP is a
in which a is first term and r is common ratio.
Geometric sequence=40*
We have to first find the first term, second term and third term of a geometric progression.
First term=40*
=40*
=40*1
=40
Second term=40*
=40*
=40*2
=80
Third term=40*
=40*
=40*4
=160
Ratio of first two terms=80/40=2
Ratio of next two terms=160/80=2
Hence the common ratio of geometric sequence is 2.
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Answer:
the answer is 2
Step-by-step explanation:
add -4x and -6x and the answer is -10x bc they are both negative x. then divide both -10x and -20 by -10 so that it is x by itself on one side and 2 on the other so its 2=x :)
The solution to given system of equations is (x, y) = (2, -1)
<em><u>Solution:</u></em>
Given system of equations are:
-1x + 2y = -4 -------- eqn 1
4x + 3y = 5 ------- eqn 2
We can solve the above system of equations by elimination method
<em><u>Multiply eqn 1 by 4</u></em>
4(-1x + 2y = -4)
-4x + 8y = -16 ------ eqn 3
<em><u>Add eqn 2 and eqn 3</u></em>
4x + 3y = 5
-4x + 8y = -16
( + ) --------------------
0x + 11y = -16 + 5
11y = -11
y = -1
<em><u>Substitute y = -1 in eqn 1</u></em>
-1x + 2(-1) = -4
-x -2 = -4
-x = -4 + 2
-x = -2
x = 2
<em><u>Check the answer:</u></em>
Substitute x = 2 and y = -1 in eqn 2
4x + 3y = 5
4(2) + 3(-1) = 5
8 - 3 = 5
5 = 5
Thus the obtained answer is correct
Thus the solution to given system of equations is (x, y) = (2, -1)
Answer:
Step-by-step explanation:
The total number of apples produced at the apple harvest is 2,350kg.
1 kg = 1000 grams. Therefore,
2350 kg = 2350 × 1000 = 2350000kg
A farmer packs 36 apples in the box. If one apple weighs approximately 250 grams, the total weight of 36 apples would be
36 × 250 = 9000 grams
Therefore, the number of boxes that are needed to pack the apples would be
2350000/9000 = 261.11
It means that 262 boxes would be needed.
