Answer:
3x - 2.
Step-by-step explanation:
The length = area / width.
The area 3x^2 + 7x - 6 = (3x - 2 )(x + 3)
so the length = (3x - 2 )(x + 3 ) / x + 3
= 3x - 2.
Answer: Lela's original score was 16.
Step-by-step explanation:
Alright lets get started.
Suppose Lela score was L.
Suppose Pepe score was P.
The ratio of Lela’s game score to Pepe's score is 
So the equation will be

Cross multiplying

.................equation 1
Then Lela completes a quest and scores 12 bonus points. The new ratio becomes

Cross multiplying

Plugging value of P from equation 1




Hence the score of Leela originally was 16. Answer
Answer:
Step-by-step explanation:
If the first floor of the Willis Tower is 21 feet high. and each additional floor is 12 feet high, then the floor heights as we move from one floor to another we keep increasing by 12feets and forms an arithmetic progression as shown;
21, (21+12), (21+12+12), ...
<em>21, 33, 45...</em>
a) To write an equation for the nth floor of the tower, we will have to find the nth term of the sequence using the formula for finding the nth term of an arithmetic sequence.
The nth term of an arithmetic sequence is expressed as 
a is the first term = 21
d is the common difference = 33-21 = 45-33 = 12
n is the number of terms
Substituting the given parameters into the formula;

<em>Hence the equation for the nth floor of the tower is expressed as </em>
<em></em>
<em></em>
b) To get the height of the 65th floor, we will substitute n = 65 into the formula arrived at in (a)

<em>Hence the height of the 65th floor is 789feets.</em>
Answer:
x/-9+10.3=11.3
Step-by-step explanation:
Answer:
108
Step-by-step explanation:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
721×32
Applying the fractions formula for multiplication,
=72×31×2
=2162
Simplifying 216/2, the answer is
=108