Sam's Fruit Cellar earns a $0.40 profit for each apple that it sells and a $0.40 profit for each banana that it sells. Which expression shows Sam's total profits from selling apples (a) and bananas (b)? A. 0.40(ab) B. 0.40(a + b) C. 0.40 + an + 0.40 + bD. 0.80(ab)
The correct expression is B. 0.40(a + b). This expression represents the total profit earned from selling apples and bananas. (a + b) represents the sum of the number of apples sold (a) and the number of bananas sold (b), and multiplying it by 0.40 gives the total profit.
Normal Multiple Choice Question Sara claims that the number of pages she has read in her book is proportional to the number of minutes that she has spent reading. She collects several data points to prove her claim and expresses the data points as (x, y) coordinate pairs. Which of the following actions could Sara take to prove her claim? A. Place the coordinate pairs in a table and show that they do not create equivalent ratios. B. Use the coordinate pairs to show that an equation of the form can be written. C. List out the coordinate pairs and show that each y-value is a multiple of its associated x-value. D. Plot the coordinate pairs on a graph and show that the points make a straight line through the origin.
The correct action Sara could take to prove her claim is D. Plot the coordinate pairs on a graph and show that the points make a straight line through the origin. If the coordinate pairs form a straight line that passes through the origin (0,0), then it implies that the number of pages she has read (y) is directly proportional to the number of minutes she has spent reading (x). This would validate her claim that the number of pages she has read is proportional to the number of minutes she has spent reading.
As part of an experiment in the science lab, a thermometer was inserted in a solution in order to measure the temperature over time. At 9:15 a.m. the temperature was –17 °C, and at 11:30 a.m. it was –26 °C. What is the difference between these two measurements? A . 8 °C B. 9 °C C . 11 °C D. 43 °C
To find the difference between the two temperature measurements, we subtract the initial temperature from the final temperature:
Difference = Final temperature - Initial temperature
Difference = -26 °C - (-17 °C)
Difference = -26 °C + 17 °C
Difference = -9 °C
Therefore, the difference between the two temperature measurements is 9 °C. The correct answer is B. 9 °C.
A plumber charges $50 for every house call and an additional $70 for each hour of work. For one house call yesterday, the plumber earned $435. Which equation can be solved to find the number of hours the plumber worked on the house call?
Let's call the number of hours the plumber worked on the house call "h". From the problem, we know that the plumber charges $50 for the house call and an additional $70 for each hour of work.
The total amount earned by the plumber is $435. Therefore, we can set up the following equation to represent the situation:
50 + 70h = 435
This equation can be solved to find the number of hours the plumber worked on the house call.