Answer:
The answer is 7 1/24
Step-by-step explanation:
27/8 + 11/3
I multipled 27/8 by 3/3 (needed the 8 to become 24)
I multiplied 11/3 by 8/8 (needed the 3 to become 24)
We get:
81/24 + 88/24
Then you add
169/24
Simplify
7 1/24
Answer:
55
Step-by-step explanation:
Assuming she deposited the same amount each month.
Total ÷ Months = Amount Deposited Each Month
1,320 ÷ 24 = 55
<h3>Answer:</h3>
±12 (two answers)
<h3>Explanation:</h3>
Suppose one root is <em>a</em>. Then the other root will be -3<em>a</em>. The product of the two roots is the ratio of the constant coefficient to the leading coefficient:
(<em>a</em>)(-3<em>a</em>) = -27/4
<em>a</em>² = -27/(4·(-3)) = 9/4
<em>a</em> = ±√(9/4) = ±3/2
Then the other root is
-3<em>a</em> = -3(±3/2) = ±9/2 . . . . . . the roots will have opposite signs
We know the opposite of the sum of these roots will be the ratio of the linear term coefficient to the leading coefficient: b/4, so ...
-(a + (-3a)) = b/4
2a = b/4
b = 8a = 8·(±3/2)
b = ±12
_____
<em>Check</em>
For b = 12, the equation factors as ...
4x² +12x -27 = (2x -3)(2x +9) = 0
It has roots -9/2 and +3/2, the ratio of which is -3.
For b = -12, the equation factors as ...
4x² -12x -27 = (2x +3)(2x -9) = 0
It has roots 9/2 and -3/2, the ratio of which is -3.
The equation given in the question is
V = <span>2πr^2h
h = V/ </span>2πr^2
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First of all, find the first number more than 100 that can divided by 9, and it's 108 (we'll call it as 'a') then, find the number less than 2000 that can divided by 9, it's 1.998 (we'll call it as 'Un')
Un = a + (n-1).b
1998 = 108 + (n-1).9
1998 = 108 + 9n -9
1899 = 9n
211 = n
and the total is
Sn = n/2 (a+un)
s211 = 211/2 (108+1998)
= 222.183