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:
The correct answer is the number in the note is 80 and the first digit is 8.
Step-by-step explanation:
Dr. Green finds a note from another scientist. It says how many boxes of bug nets they should bring, but there is a smudge over the first digit of the number.
Number of nets that they must bring is 320.
Each box contains 4 nets.
There number of boxes necessary to be brought is given by
= 80.
Therefore the missing digit of number the number in the note is 8.
Answer:
0.67
Step-by-step explanation:
To solve this we are going to use this lovely equation
P%•X=Y
Y is our end product
X in this case is 45
and P% is our percent
Now let's multiply 4% which becomes .004 by 45 and we get 1.8 which since there isn't 1.8 in American currency that becomes $1.80
We do the same process with the 2.5
0.025•45=1.125
Again not in the American currency so we will round 5 up and now we have $1.13
Now we subtract 1.80-1.13 which gets us 0.67 cents.
Hope I was helpful,
Your friendly neighborhood struggling student
Toodles
Answer:
C-----> x<-7
Step-by-step explanation:
first u do this to turn x in positive and consequently change the > to an <:
(-1).(-4x)>28.(-1)
so:
4x<-28
x<-7
# when multiplying each side by (-1), you have to change the symbol (>) to an (<), or (<) to an (>)