Answer:
64
Step-by-step explanation:
Note that each new term of this geometric sequence is 2x the previous term.
If the sequence starts off as 2, 4, 8, 16, 32 ... , then the next term is 2(32) = 64.
(Where did the '48' come from?)
Answer:
The number of days in which the amount in warehouse #2 is 1.2 greater than warehouse #1 is 6 days.
Step-by-step explanation:
Let
x: number of days
y: amount of potatoes
We can express the amount of potatoes in each warehouse using linear equations:
Warehouse #1: 
Warehouse #2: 
We need to find the value of x when 
Substituting the expressions for y1 and y2 in
:

Applying distributive law:

Solving the equation by subtracting 108x and 180 on both sides:



Now we divide by 12 on both sides:

Therefore, the number of days in which the amount in warehouse #2 is 1.2 greater than warehouse #1 is 6 days.
<span> let x be 0 </span>
<span>3(0)-5y=6 </span>
<span>-5y=6 </span>
<span>divide both sides by -5 </span>
<span>y= -6/5</span>
Answer: OPTION C.
Step-by-step explanation:
By definition, equivalent expressions have the same value but they look different.
You can obtain an equivalent expression by manipulating it algebraically.
In this case, given the following expression:

You can find and equivalent expression by combining or adding the like terms (You need to remember that the like terms are those terms that have the same variable with the same exponent).
So, you can identify that like terms are:
and 
Then, you can combine them by adding their coefficients (The coefficients are the numbers in front of the variable).
Therefore, you get the following equivalent expression:
