The four-by-eight array is broken apart at the darkened line creating two small arrays that are the same size. Solve
the following equations. Numbers may be used once, more than once, or not at all.
Each small array is now 2 x blank=blank
.
The total number of squares in the large array is now 16x blank =blank
.
So, .4x8= blank
Apologies for the confusion. You are correct.
If each small array is now 2 by x, and the total number of squares in the small arrays is 16, then we can set up the equation:
2 * x = 16
Solving for x, we divide both sides of the equation by 2:
x = 16 / 2
x = 8
Therefore, each small array is now 2 by 8 in size.
To solve the given equations, let's break it down step by step:
1. Each small array is now 2 x blank = blank.
Since the small arrays are the same size, we can assume they both have the dimensions 2 x blank. Let's assign a variable to represent the unknown value:
Let's say the dimensions of each small array are 2 x n (where n is the unknown value).
2. The total number of squares in the large array is now 16 x blank = blank.
We know that the large array was originally a 4 x 8 array, which would give us a total of (4 x 8) = 32 squares. However, the array is now broken into two smaller arrays, both with dimensions 2 x n.
Each small array would have (2 x n) = 2n squares.
Since we have two small arrays, the total number of squares in both arrays combined would be 2n + 2n = 4n.
According to the equation, 4n = 32.
To find the value of n, we can solve this equation by dividing both sides by 4:
4n/4 = 32/4.
This simplifies to:
n = 8.
Therefore, the value of n is 8.
3. So, 0.4 x 8 = blank.
To find the value of 0.4 x 8, we simply multiply the two numbers:
0.4 x 8 = 3.2.
Therefore, 0.4 x 8 is equal to 3.2.
In summary:
- The dimensions of each small array are 2 x 8.
- The total number of squares in the large array, when broken down, is 4 x 8 = 32 squares.
- The value of 0.4 x 8 is 3.2.
The two small arrays are now 2 x blank = blank in size.
Since the large array was originally 4 x 8, the number of squares in the large array is 4 x 8 = 32.
Therefore, 16 x blank = 32.
Solving for blank, we get blank = 2.
So, the two small arrays are now 2 x 2 = 4 in size.
Finally, 0.4 x 8 = blank.
Solving for blank, we get blank = 3.2.
the two small arrays each have 16 squares.
So if they are 2 by x, then x=16