1. complete the following factor tree.
30
/ \
6 □
/ \
2 □
2. 3(4 + 6) - 10 = □
for problems 3–4, use the table to the right.
3. which square does not touch one of the perimeter squares?
square box
4. what is the combined area of rows 4 and 5?
rectangle box
grid table with rows a - e and columns 1 - 5
minute 11

Question

1. complete the following factor tree.
   30
   /  \
  6   □
 / \
2  □
2. 3(4 + 6) - 10 = □
for problems 3–4, use the table to the right.
3. which square does not touch one of the perimeter squares?
   square box
4. what is the combined area of rows 4 and 5?
   rectangle box
grid table with rows a - e and columns 1 - 5
minute 11

Accepted Answer

### Problem 2:
# Explanation:
## Step1: Calculate inside the parentheses
First, we solve the expression inside the parentheses: $4 + 6 = 10$.
## Step2: Multiply by 3
Then we multiply the result by 3: $3\times10 = 30$.
## Step3: Subtract 10
Finally, we subtract 10 from the product: $30 - 10 = 20$.
# Answer:
$20$

### Problem 1 (Factor Tree):
# Explanation:
To complete the factor tree, we know that in a factor tree, we break down numbers into their factors.
- For the top part, we need to find a factor of 30 such that when we divide 30 by that factor, we get 6. So we calculate $30\div6 = 5$. So the top blank (next to 30 and 6) is 5.
- For the bottom part, we need to find a factor of 6 such that when we divide 6 by 2, we get that factor. So we calculate $6\div2 = 3$. So the bottom blank (next to 6 and 2) is 3.
# Answer:
Top blank: $5$, Bottom blank: $3$

### Problem 3:
(Assuming the table is a grid of squares, and we need to find which square doesn't touch the perimeter. But since the table's details (like number of columns, rows, labeling) are a bit unclear from the image, but if we assume a standard grid, usually the inner squares not on the edge (perimeter) are the ones. But without more details, if we assume a 5x5 grid (rows A - E, columns 1 - 5), the squares not touching the perimeter would be in row C (middle row) and column 3 (middle column), i.e., square C3 (but this is an assumption. If the grid is 5 rows (A - E) and 5 columns (1 - 5), the perimeter squares are the first and last rows (A, E) and first and last columns (1, 5) of each row. So the inner squares are rows B - D and columns 2 - 4. But the question is "which square does not touch one of the perimeter squares?" Wait, maybe "does not touch the perimeter" (i.e., is an inner square). So in a 5x5 grid, the square at row C, column 3 (middle) doesn't touch the perimeter. But since the image has rows A - E (5 rows) and columns 1 - 5 (5 columns), the square that doesn't touch the perimeter (i.e., is not on the first/last row or first/last column) would be, for example, the square in row C, column 3. But without exact labeling, if we consider the grid as 5 rows (A, B, C, D, E) and 5 columns (1, 2, 3, 4, 5), the squares not touching the perimeter are those where row is not A or E and column is not 1 or 5. So possible squares: B2, B3, B4, C2, C3, C4, D2, D3, D4. But the problem shows a blank square with a line, maybe indicating a single square. If we take the middle square, it's C3. But this is an assumption. Alternatively, if the grid is smaller, but from the rows A - E (5 rows) and columns 1 - 5 (5 columns), the inner square is C3.
# Answer:
(Assuming) The square at row C, column 3 (or the middle square in a 5x5 grid)

### Problem 4:
# Explanation:
To find the combined area of rows 4 and 5, we first find the number of squares in each row. From the grid, we can see there are 5 columns (columns 1 - 5). So each row has 5 squares (assuming each square has area 1 unit²).
- Area of row 4: $5\times1 = 5$ (since 5 squares, each area 1)
- Area of row 5: $5\times1 = 5$
- Combined area: $5 + 5 = 10$
# Answer:
$10$ (assuming each square has area 1, and there are 5 columns)

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Problem 2:

Step1: Calculate inside the parentheses

Step2: Multiply by 3

Step3: Subtract 10

Answer:

Problem 1 (Factor Tree):