Answer:
Option C = 15
Step-by-step explanation:
In principle when a function <em>f(x) </em>varies directly with <em>x</em> it suggests that any changes in x results in the equivalent changes in<em> f(x)</em>. If we have two variables, i.e. <em>y</em> representing<em> f(x)</em> and <em>x</em> representing itself, any increment/decrement in <em>x</em> will result to the same increment/decrement in <em>y</em> by a factor <em>a, thus we can say that y = ax, implying y and x have the same ratio. </em>
In the given question we know that <em>
</em> when 
<em>, </em>which translates as
This tells us that 
varies by a factor (lets call it) 
for a given value of 
.
To find this factor we can just divide 45 with 9 which gives: 
Thus the factor here is 
which finally tells us that
Eqn (1) our original function.
Since we now know our function we can plug in the value for 
and solve for 
as follow:
Looking at the given options in the question we can conclude that the correct answer is Option C = 15
Answer:
3/8 + 1/8
Step-by-step explanation:
so you just need to add the both firsnumber which is 3 and 1 is equal to 4 and second is you add the both second number whick is 8 and 8 is equal to 16 now that you got all the numbers needed to complete the fraction just put the 4 in the top and pu the slach or / and put the 16 in the bottom
Exact Answer:<em>4</em><em>/</em><em>1</em><em>6</em>
Answer:
it says 8
Step-by-step explanation:
a.
Let
5x = number of games won
2x = number of games lost
The total number of win and lose is 154. So
5x + 2x = 154
Solving for x,
7x = 154
x = 22
Therefore, the number of games won is 5*22=110 and the number of games lost is 2*22 is 44.
b.
Let
6x = first side of the triangle
7x = second side of the triangle
9x = third side of the triangle
The perimeter of a triangle is the total of all sides. So,
6x + 7x + 9x = 88
22x = 88
x = 4
Therefore, the three lengths of the side are 6*4=24, 7*4=28, and 9*4 = 36
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