Answer:
The correct answer is x > 2.
Step-by-step explanation:
![\dfrac{5}{6} x - \dfrac{1}{3} > 1\dfrac{1}{3}](https://tex.z-dn.net/?f=%5Cdfrac%7B5%7D%7B6%7D%20x%20-%20%5Cdfrac%7B1%7D%7B3%7D%20%3E%201%5Cdfrac%7B1%7D%7B3%7D)
An inequality compares two quantities unlike an equality. An inequality is written with either a greater than ( > ) or lower than ( < ) or greater than equal to (
) or less than equal to (
) signs. We solve the above given inequality to find the solutions of the unknown x.
![\dfrac{5}{6} x - \dfrac{1}{3} > 1\dfrac{1}{3} \\\dfrac{5}{6} x - \dfrac{1}{3} > \dfrac{4}{3} \\\dfrac{5}{6} x > \dfrac{1}{3} + \dfrac{4}{3} \\\dfrac{5}{6} x > \dfrac{5}{3}\\x > 2](https://tex.z-dn.net/?f=%5Cdfrac%7B5%7D%7B6%7D%20x%20-%20%5Cdfrac%7B1%7D%7B3%7D%20%3E%201%5Cdfrac%7B1%7D%7B3%7D%20%5C%5C%5Cdfrac%7B5%7D%7B6%7D%20x%20-%20%5Cdfrac%7B1%7D%7B3%7D%20%3E%20%5Cdfrac%7B4%7D%7B3%7D%20%5C%5C%5Cdfrac%7B5%7D%7B6%7D%20x%20%3E%20%5Cdfrac%7B1%7D%7B3%7D%20%2B%20%5Cdfrac%7B4%7D%7B3%7D%20%5C%5C%5Cdfrac%7B5%7D%7B6%7D%20x%20%3E%20%5Cdfrac%7B5%7D%7B3%7D%5C%5Cx%20%3E%202)
Firstly we change the right hand side quantity to fraction.
We then transfer the -
to the right hand side and add them. The inequality sign does not change as we are simply adding or subtracting terms from both the ends.
Finally we divide both sides with
to get the required solution. The inequality sign does not change as we are multiplying both the ends with a positive quantity.
This gives us the answer as x > 2.
Answer:
Negative four-fifths (Negative five-fourths) x = 80 (negative five-fourths)
Step-by-step explanation:
-4/5 x = 80
Multiply both sides of the equation by the reciprocal of the number that multiplies x. x is being multiplied by -4/5. The reciprocal of -4/5 is -5/4, so multiply both sides by -5/4.
Answer: Negative four-fifths (Negative five-fourths) x = 80 (negative five-fourths)
The symbol, ∑ is a summation sign that drills
us to sum the elements of a sequence. The variable of summation is represented
by an index that is placed under the summation sign and is often embodied by i.
The index is always equal to 1 and adopt values beginning with the value on the
right hand side of the equation and finishing it with the value over head the
summation sign. So in the expression ∑4i = 0(5)(1/3)i will be the same as:
∑4i = 0(5)(1/3)i
= (1/3)⁰ + (1/3)¹ + (1/3)² + (1/3)³ + (1/3)⁴ + (1/3)⁵
= 364/243
It means in the expression that the term 1/3 is added 5 times raising from a value of 0 until 5 and so you will have an answer of 364/243.
Its 4.50 because if you divide it will be 4 and 2 then with the 2 over 4 it is 4.5
Answer: 9
If you multiply 8*9 you get 72