💡First, I need to determine the speed of the boat in still water. I'll denote this speed as ( x ) km/hr.When the boat is moving downstream, the speed of the stream adds to the boat's speed. Therefore, the effective downstream speed is ( x + 5 ) km/hr.The boat covers a distance of 168 km in 8 hours downstream. Using the formula:[text{Distance} = text{Speed} times text{Time}]I can set up the equation:[168 = (x + 5) times 8]Expanding the equation:[168 = 8x + 40]Subtracting 40 from both sides to isolate the term with ( x ):[128 = 8x]Finally, dividing both sides by 8 to solve for ( x ):[x = 16]So, the speed of the boat in still water is 16 km/hr.

💡First, I need to determine how much baking powder Kelly had yesterday. She currently has 0.3 box of baking powder. According to the problem, she had 0.1 more box yesterday than she does now. To find the total amount she had yesterday, I add the current amount to the additional amount: 0.3 box + 0.1 box = 0.4 box.Therefore, Kelly had 0.4 box of baking powder yesterday.

💡First, calculate the total coffee beans used per week by multiplying the daily consumption by the number of days in a week.Next, determine the weekly cost of milk by multiplying the cost per gallon by the amount used.Subtract the cost of milk from the total weekly coffee expense to find the amount spent on coffee beans alone.Then, find out how many bags of coffee are used per week by dividing the total weekly coffee bean consumption by the amount of beans in one bag.Finally, divide the weekly cost of coffee beans by the number of bags used to determine the cost of one bag of coffee.

💡First, I need to determine the vector from point ( A ) to point ( B ). This is done by subtracting the coordinates of ( A ) from ( B ).Next, since ( AC ) is twice the length of ( AB ), I will multiply the vector ( overrightarrow{AB} ) by 2 to get the vector ( overrightarrow{AC} ).Finally, I will add the vector ( overrightarrow{AC} ) to the coordinates of point ( A ) to find the coordinates of point ( C ).

💡First, I need to determine how many pages Coral reads in the first week. Since she reads half of the book, I divide the total number of pages by 2.Next, I calculate the remaining pages after the first week by subtracting the pages read from the total.In the second week, Coral reads 30% of the remaining pages. I find 30% of the remaining pages and then subtract that from the remaining pages to find out how many pages are left after the second week.Finally, the number of pages Coral must read in the third week to finish the book is the number of pages remaining after the second week.

💡First, I need to determine the minimum number of people who could have indicated that they like both Mozart and Bach out of the 150 surveyed individuals.I know that 130 people like Mozart and 120 people like Bach. To find the minimum overlap between these two groups, I can use the principle of inclusion-exclusion.The formula to calculate the minimum number of people who like both is:[text{Minimum Both} = |Mozart| + |Bach| - text{Total Surveyed}]Plugging in the numbers:[text{Minimum Both} = 130 + 120 - 150 = 100]This means that at least 100 people must have indicated that they like both Mozart and Bach.