Answer:
Step-by-step explanation:
Do this step by step.
Let the number = x
1/3 of a number = 1/3 x
Added to itself 1/3x + x
=
3*(x - 7)
So the equation is
1/3x + x = 3(x - 7) Remove the brackets. Collect 1/3x and x
4/3 x = 3x - 21 Multiply both sides by 3.
4x = 3*(3x - 21) Remove the brackets again
4x = 9x - 63 Subtract 9x from both sides
-5x = -63 Divide by -5
x = -63/-5
x = 12.6
Answer:
g(n) = 2n + 49
Step-by-step explanation:
The explicit formula for an arithmetic sequence is
g(n) = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given the recursive formula
g(n) = g(n - 1) + 2 ← with d = 2 and a₁ = 51, then
g(n) = 51 + 2(n - 1) = 51 + 2n - 2 = 2n + 49 ← explicit formula
.91 is the largest number in that group.
10 spelling and 16 vocab because 10 * 2 is 20 and 16 * 5 is 80 and 80+20 is 100
