Answer:
$64
Step-by-step explanation:
Hi there!
quarter:18
<u><em>1.Find common denominator in 4 and 1/2:</em></u>
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<u><em>2.Convert 4 2/4 into mixed number:</em></u>
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<u><em>3.Divide 18/4 by 1/4:</em></u>
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Therefore, there is 18 quarters in 4 1/2.
Answer:
8th term of geometric sequence is 312500
Step-by-step explanation:
Given :
and common ratio (r) = 5
We have to find the 8th term of the geometric sequence whose
and common ratio (r) = 5
Geometric sequence is a sequence of numbers in which next term is found by multiplying by a constant called the common ratio (r).
......(1)
where
is nth term and a is first term.
For given sequence
a can be find using
and r = 5
Substitute in (1) , we get,
Thus, 8th term of the sequence denoted as ![a_8](https://tex.z-dn.net/?f=a_8)
Substitute n= 8 in (1) , we get,
![a_8=ar^{8-1} \\\\a_8=(4)r_{7} \\\\a_8=4(5)^7=4 \times 78125=312500](https://tex.z-dn.net/?f=a_8%3Dar%5E%7B8-1%7D%20%5C%5C%5C%5Ca_8%3D%284%29r_%7B7%7D%20%5C%5C%5C%5Ca_8%3D4%285%29%5E7%3D4%20%5Ctimes%2078125%3D312500)
Thus 8th term of geometric sequence is 312500
Hey there! :)
Answer:
(2, -2)
Step-by-step explanation:
-2x + y = -6
4x + 3y = 2
We can begin by setting the first equation equal to y:
-2x + y = -6
Add 2x to both sides:
y = 2x - 6
Plug this equation for y into the second equation:
4x + 3(2x - 6) = 2
Distribute:
4x + 6x - 18 = 2
Combine like terms:
10x = 20
x = 2
Plug the value of 'x' into an equation to solve for 'y':
-2(2) + y = -6
-4 + y = -6
y = -2
Therefore, the solution is (2, -2)