Question

wednesday
determine the missing value.
\\(\frac{12\text{ candies}}{1\text{ box}} = \frac{\\_\\_\\_\text{ candies}}{4\text{ boxes}}\\)
did you scale up or down?
use the fact that \\(725 \times 36 = 26,100\\) determine the product of \\(7.25 \times 3.6 = ?\\)
complete the table.
thursday
determine the exact quotient.
\\(2,146 \div 100 = \\)
determine the distance between \\((-3, 7)\\) and \\((4, 7)\\).
which points are

Explanation:

Step1: Find candies for 4 boxes

Let $x$ = candies for 4 boxes. Set up proportion:
$$\frac{12}{1} = \frac{x}{4}$$
Solve for $x$: $x = 12 \times 4 = 48$

Step2: Identify scaling direction

Box count goes from 1 to 4 (increase), so scale up.

Step3: Calculate division quotient

$$2146 \div 100 = \frac{2146}{100} = 21.46$$

Step4: Adjust decimal for product

$725 \to 7.25$ (÷100), $36 \to 3.6$ (÷10). Total ÷1000:
$$26100 \div 1000 = 26.1$$

Step5: Compute distance between points

Points have same $y$-value, use $|x_2 - x_1|$:
$$|4 - (-3)| = |7| = 7$$

Answer:

1. Missing candy value: 48; Scaled up
2. $2,146 \div 100 = 21.46$
3. $7.25 \times 3.6 = 26.1$
4. Distance between $(-3, 7)$ and $(4, 7)$: 7