25% 6 divided by 24 will give you the percentage of copper in the bar
-5a - 12a can also be rewritten as:
-5a + -12a, which would equal -17a
Answer:
The four consecutive odd integers = 15, 17, 19, 21
Step-by-step explanation:
Four consecutive odd integers in Mathematics when x is an integer is given as:
x , x + 2 , x + 4, x + 6
Where:.
First integer = x
Second integer = x + 2
Third integer = x + 4
Fourth integer = x + 6
The sum of the first and fourth is 55 greater than the opposite of the third
Hence :
x + x + 6 = -(x + 4) + 55
x + x+6 = (-x - 4) + 55
2x + 6 = -x + 51
Collect like terms
2x + x = 51 - 6
3x = 45
x = 15
Therefore,
First integer = x = 15
Second integer = x + 2 = 15 + 2 = 17
Third integer = x + 4 = 15 + 4 = 19
Fourth integer = x + 6 = 15 + 6 = 21
The four consecutive odd integers = 15, 17, 19, 21
Answer:
1436.755 cm³
Step-by-step explanation:
Input Data :
Length = 7 cm
Objective :
Find what is volume of the sphere for given input data?
Formula :
Volume =
4πr3
3
Solution :
Volume =
4 x 3.1416 x 73
3
=
4 x 3.1416 x 343
3
=
4310.2651
3
Volume = 1436.755 cm³
In mathematics, number sequences are classified into three types: arithmetic progression, geometric progression and harmonic progression. Arithmetic sequences have a common difference, geometric sequences have a common ration, while harmonic progression is just the reciprocal of the arithmetic progression.
The first term of the arithmetic sequence is 5, followed by three. Therefore, the common difference is, 3-5 = -2. You use these values to the derived formulas for arithmetic progression. One of these formulas is
An = A1 + (n-1)d
where
An is the nth term in the sequence
A1 is the first term of the sequence
n is the totla number of terms within the sequence
d is the common difference.
In this problem, A1 = 5 and d=2. Substituting to the equation,
An = 5 + (-2)(n-1)
An = 5 - 2(n-1), where n should be more than 1. In order for it to become a sequence, it should contain more than one term.
So, the answer is letter D.
