<u><em>Answer:</em></u>5n-4
<u><em>Explanation:</em></u><u>The given expression is:</u>

<u>1- Take the negative as a common factor from both the numerator and the denominator. This will give us:</u>

<u>2- Cancel out the negative sign (common factor) from the numerator and denominator. This will give us:</u>

<u>3- Factor the numerator. This wil give:</u>

<u>4- Finally, cancel out the (17n+19) which common in both numerator and denominator. This will give us the final expression:</u>
5n-4
Hope this helps :)
Answer:
337.5 and also 202.5
Step-by-step explanation:
do 8x = 540 since 5 and 3 are in a ratio... so you get 5x plus 3x. Then you solve for x and get 67.5..67.5 times 3 is 202.5 and 67.5 times 5 is 337.5.
Answer:
Choice B:
.
Step-by-step explanation:
For a parabola with vertex
, the vertex form equation of that parabola in would be:
.
In this question, the vertex is
, such that
and
. There would exist a constant
such that the equation of this parabola would be:
.
The next step is to find the value of the constant
.
Given that this parabola includes the point
,
and
would need to satisfy the equation of this parabola,
.
Substitute these two values into the equation for this parabola:
.
Solve this equation for
:
.
.
Hence, the equation of this parabola would be:
.
100 muffins, and 2 in each packages. Therefore, there are 50 packages. However, at the end, there are 12 left, so there must have been 6 packages left. (12/2) 50-6=44. 44*2=88 so 88 muffins were bought.
Answer:
$305.9022863 or $305.90 (rounded to 2 decimal places)
Step-by-step explanation:
It is a compound interest, meaning an interest accumulates on an initial amount every period. The formula
A= P(1+R)^n
A= the total amount P=Initial amount R= rate n=time period
P=$100 R=15% or 0.15(decimal) n=8 (years)
A= 100 (1.15)^8
A= 100(3.059022863)
A=305.9022863