Answer:
B = 15
Step-by-step explanation:
<u>Combine multiplied terms into a single fraction</u>
6 + 2b/5 = 12
<u>Subtract 6 from both sides</u>
6 + 2b/5 <em>(-6)</em> = 12 <em>(-6) </em>= 2b/5 = 6
<u>Multiply all terms by the same value to eliminate fraction denominators</u>
2b/5 <em>( x 5) </em>= 6<em> (x 5)</em>
<em />
<u>Simplify</u>
2b = 30
Answer:
1 17/24
Step-by-step explanation:
To add fractions, find the LCD and then combine.
Exact Form:
41/24
Decimal Form:
1.7083
Mixed Number Form:
1 17/24
Hello!
We can make an equation based on what we know
The product of 9 and a number is
9 * x
Added to six
9 * x + 6
Gives the result of 24
9 * x + 6 = 24
Now you solve it algebraically
Subtract 6 from both sides
9 * x = 18
Divide both sides by 9
x = 2
The answer is 2
Hope this helps!
<span> To get an explicit formula, we need to find an expression which gives the n-th term without having to compute earlier terms in the sequence. Looking at the numbers, and from the recursive formula, we see that the sequence is built by subtracting n from the previous term. This is similar to the triangular number sequence 1,3,6,10,15,... which has the explicit formula a_n = n(n+1)/2. In our case we are subtracting n from the previous term, so we multiply by -1/2 instead of 1/2. However, we also need to add a constant term to reproduce the numbers of the sequence. We can write a_1 = -1(2)/2 + c = 8. Therefore, c = 9.
So the explict formula is:
a_n = -n(n+1)/2 + 9</span>
