The last one if I'm not mistaking
Ik this is late, but people who are looking for the answer can see this.
Answer:
an =1/3*6^n-1
Step-by-step explanation:
You should plug in 2 for n in each equation, which, the correct one should give you 2. Then, to make sure, you plug in 3 in the equations that gave you 2.
Example:
an = 1/3 * 6 ^n-1
Plug in 2.
an = 1/3 * 6 ^2-1
an = 1/3 * 6 ^1
1/3 * 6 = 2
Step 2.
an = 1/3 * 6 ^3-1
an = 1/3 * 6 ^2
1/3 * 36 = 12
Hope this helps.
Answer:
y = 0.64/x^3
Step-by-step explanation:
If y is inversely proportional to a^3, we can write the equation:
y * a^3 = k
Using a = 2 and y = 10, we have:
10 * 2^3 = k
k = 80
If a is directly proportional to x, we can write the equation:
a = c * x
Using x = 4 and a = 20, we have:
20 = c * 4
c = 5
Now, using the value of a = 5*x in the equation y * a^3 = 80, we have:
y * (5x)^3 = 80
y * 125x3 = 80
y = 80/(125x3) = 0.64/x^3
Answer:
3. 9n + 6 = 78
5. see below
Step-by-step explanation:
3.
Let the number of adults be n. Each adult ticket costs $9, so the cost of n adult tickets is 9n. There is only one child, and a child's ticket is $6, so the cost of the child's ticket is 6. Adding the costs, you get 9n + 6. The total cost is $78, but the expression representing the total cost is 9n + 6, so 9n + 6 must equal 78. That is the equation.
9n + 6 = 78
5.
Sam bought equal gifts for his two children. The two gifts had the same price, x. He received a discount of $125. How much did each of the two gifts cost before the discount?
