Answer:
Arithmetic.
Common Difference: -24
Step-by-step explanation:
An arithmetic sequence is a sequence with the difference between two consecutive terms constant. The difference is called the common difference. A geometric sequence is a sequence with the ratio between two consecutive terms constant.
For arithmetic, to find the common difference we take any pair of successive numbers, and we subtract the first from the second.
For geometric, to find the common ratio can be found by dividing any term in the sequence by the previous term.
The proportion
peanuts : raisins : chocolate chips = 4 : 6 : 2
tells you that peanuts make up
4/(4+6+2) = 1/3
of the total quantity of the mix.
The quantity of peanuts required is (1/3)*(48 ounces) = 16 ounces (or 1 pound).
_____
In the 48 ounces of mix, 1 part = 4 ounces.
Answer:
\frac{2x^2}{3} =24
Step-by-step explanation:
times both sides by 3
2x²=72
divide both sides by 2
x²=36
sqrt both sides
x=+/-6
x=-6 or 6
-6<6 so -6 is the smallest solution
Answer: n = 3; n represents a remainder in a division problem.
Explanation:
1) Finding n:
i) Given: 643 = 4 × 160 + n
ii) Do the operations: 643 = 640 + n
iii) Subraction property of the equality: 643 - 640 = n
iv) Do the operations: 3 = n
Answer: n 3
2) Meaning of n
When you divide 643 by 4 the quotient is 160 and the remainder is 3, because 160 × 4 = 640, and 643 - 640 = 3.
This is, 3 is what is left when you split 643 into 4 getting 160 whole parts (plus the remainder, 3).
A^2 - b^2 ...difference of squares
so
9m^4 - 49n^6 = (3n^2)^2 - (7n^3)^2
answer
C. 9m^4 - 49n^6
