Answer:
Step-by-step explanation:
when you are asked for a unit rate it is always something like this
$5 /pound or 2.2 pounds/ kg
We set up the equation like this:
$13.50/3 pounds
So, for this we need to get 3 pounds down to 1 pound. Also, to make the eqaution balance we need to divide $13,50 by 3 too!
So, the unit rate is $4.5/pound or $4.5 per pound.
The answer would be 101,447 points.
Note that the notation
is just another way of writing
. Here, we're simply taking the expression for f(x) and adding the expression for g(x) to it. Together, we have:
Which means that
And from there, it's just a matter of combining like terms to simplify.
Answer:
x=3
Step-by-step explanation:
the volume of the prism with triangular base is 54 unit³
The base is a triangle with, base i.e 4 units and height i.e x units
Also, height of the prism = 3x
So, volume of the prism is,
And
,
Then,
As the volume is given as 54 unit³, hence
6x²=54
x²=9
x=3
Answer:
13
Step-by-step explanation:
Its calculate the common difference first.
(95-11)/(n-1).
We also have the sum of these n terms is 689.
So we have the following:
11
+(11+(95-11)/(n-1))
+(11+2(95-11)/(n-1))
+...
+(11+(n-1)(95-11)/(n-1))
This can be re-expressed alittle:
There are (n) amount of 11's in the addition... also 1+2+3+...+(n-1)=(n-1)(n)/2.
So we have the sum is
11(n)+n(n-1)/2×(95-11)/(n-1)
But this equal to 689.
We need to solve the following equation:
11(n)+n(n-1)/2×(95-11)/(n-1)=689
The (n-1)'s in second term can cancel.
11(n)+n/2×84=689
11n+42n=689
53n=689
53n=689
n=689/53
n=13