Answer:
Total number of bracelets Brianna have are 12 .
Step-by-step explanation:
Let us assume that the total numbers of the bracelets be x .
As given
Brianna has 4 pink bracelets.
One third of all her bracelets are pink .
Than the equation becomes

Simplify the above
x = 4 × 3
x = 12
Therefore the total number of bracelets Brianna have are 12 .
Add the amount of students together (21+24=45)
Divide by three to see how many will be in each group. (45/3 = 15)
15 in each group!
Volume of a rectangular prism = l × w × h.
In this case,
V = 270 cubic feet
l = 15 feet
w = 4 ft
h = ?
Plug our values into the volume formula.
270 cubic feet = 15 feet × 4 feet × h.
Simplify the right side
270 = 60 × h.
Divide each side by 60.
4.5 = h
The height is 4.5 feet.
We need to start from the innermost parenthesis and work our way out.
The first parenthesis is
. These are not like terms because one involves a variable, while the other is a constant term. Two terms are summable if they involve the same power(s) of the same variable(s).
So, we can take one step outwards, and we arrive to the square brackets. We have

and 2z and -13z are like terms, so we can sum them:

Finally we arrive to the whole expression, which is

Because, again, 5z and 11z were like terms.
Answer:
Explicit formula: a(n)=3n-6
Recursive formula: a(n)=-3+(n-1)3 <--
Step-by-step explanation:
a(n)=3n-6 where a(1)=3(1)-6=-3 and d=3
<u>Plug values into recursive formula:</u>
a(n)=a1+(n-1)d
a(n)=-3+(n-1)3