Answer: 1/4 or 0.25
Step-by-step explanation: We will solve log256 4 in several steps to solve for x.
Step 1: Log256 4 = x
Step 2: 256x = 4 ( Next, Use exponents )
Step 3: (2^8)x = 2^2
Step 4: 2^8x = 2^2
Step 5: 8x = 2 (Solve for x0
Step 6: 8x/8 = 2/8 = x = 1/4
Step 7 (The Answer) x, or log256 4 = 1/4 or 0.25
Answer:
9 bottles of soda and 7 bottles of juice
Step-by-step explanation:
Let x be the number of bottles of soda purchased and y be the number of bottles of juice purchased.
1. Gabriel purchased 2 more bottles of soda than bottles of juice, then

2. Each bottle of soda has 35 grams of sugar, then there are 35x g of sugar in x bottles of soda.
Each bottle of juice has 10 grams of sugar, then there are 10y g of sugar in y bottles of juice.
In total, there are 35x+10y g of sugar.
All bottles collectively contain 385 grams of sugar, thus

3. Solve the system of two equations:

Substitute the first equation into the second equation:

Answer:
1) Compares data that are in categories
2) Organises data into 4 groups of equal sizes and is often used to compare two sets of data.
3) Used to see trends in data.
4) Shows changes over time.
5) Shows the frequency of data using equal intervals with no space between the bars.
Step-by-step explanation:
1) Bar graph is used to compare data that are in categories
2) Box and whisker plot is used to organise data into 4 groups of equal size.
3) Line graph is basically used to see different trends.
4) Scatter plot is used to show changes that have occurred over time
5) Histogram is used to show the frequency of data using equal intervals with no space between the bars.