The value of x will be 23
Answer:
y/x = R
Step-by-step explanation:
The two quantities x and y are proportional means they have a relation.
The equation is;
y= Rx ------to find the proportional R you make R the subject of the formula;
y/ x = R
Answer:
x = 4 is the solution
Step-by-step explanation:
given = x ( square both sides )
x + 12 = x² ( rearrange into standard form )
x² - x - 12 = 0 ← in standard form
(x - 4 )(x + 3 ) = 0 ← in factored form
equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x + 3 = 0 ⇒ x = - 3
Insert these values into the original equation, and if both sides are equal, and those are the solutions.
x = 4 : = = 4 = x ← correct
x = - 3 : = = 3 ≠ - 3 ← false
the answer is x = 4
So if they all add 4 hours to their time then they have:
Jeff 9
Mark 14
Karen 9
Costas 13
Brett 11
Nikki 9
Jack 11
so now to find the mean you add all the numbers together to get 76 and then you divide it by the number of people (7 people) so 76 divided by 7 equals 10.8571429 and that's the mean.
Now to find the median you put all the numbers in order from least to greatest: 9;9;9;11;11;13;14 and you take the number in the middle but since both 11 and 11 are in the middle you take the mean of them and the mean of them is 11 so the median of the numbers is 11
now to find the range you take the largest number (14) and you subtract the smallest number (9) so 14 - 9 is 5 so 5 is the range
and last the mode is the number that is repeated most out of all the numbers so the mode would be 9
The answer is either x = -1 or x = 4.
