A pharmaceutical company’s stock price was $33.65 on Monday. On Tuesday, the price went up $1.23. On Wednesday, the price decreased from Tuesday’s price by $0.97. On Thursday, the price went up $2.75 from Wednesday’s price. Which of the following was the final price on Thursday?

Given the equation F(z)=9z+28

To find the value of F(z), we need to vary the value of z. In this case, z is the independent variable while F(z) is what we measure, which is the dependent variable.

A histogram depicts the frequency of a one variable over the other while a bar graph is used to compare two variables with vertical axis representing the heights. Therefore, a histogram will be used to represent percent of the number of students reading after 9.

To find the required number of cups milk needed, we set a proportion equation with number of cups be numerator and cups of milk as denominator.

Let x be the number of cups of milk needed, then

The numbers of cups of milk required is 273/25, which when converted to mixed fraction becomes 10 23/25.

9/26 is equivalent to 9÷26. The value becomes 0.3461538.

Thus, 0.35is the decimal equivalent of 9/26.

A dependent variable changes with any change made in an independent variable. From this case, cost of meals depends on other three options. In other words, the quantity of meal, number of toppings, and types of spices influence the cost of the meal.

To determine the number of sophomore students, follow these steps:

1. Identify the total number of students:

1,276

1. Identify the percentage of sophomores:

29%

1. Calculate the number of sophomores:

(29%×1,276) = (29/100× 1,276) = 370.04

1. Round to the nearest whole number:

370

To determine the correct coordinates of the point shown on the graph, follow these steps:

1. Identify the x-coordinate: Count the number of units the point is to the right or left of the y-axis. The point is at 5 on the x-axis.
2. Identify the y-coordinate: Count the number of units the point is above or below the x-axis. The point is at -8 on the y-axis.
3. The correct coordinates are (5, -8).

Looking at the answer choices:

• A. (5, -8) → Correct
• B. (-5, 8) → Incorrect
• C. (-8, 5) → Incorrect
• D. (8, -5) → Incorrect

Final Answer:

A. (5, -8)

To find the area of the room, we form an equation of find an equation relating the length and width of the rectangle. If we let the width of the room to be w, then

Width of the rectangle= w

Length of rectangle=(w+8)

Area of the rectangle, A= Length*width=(w+8)*w

A=w(w+8)

Thus, the area of the rectangular room is w(w+8).

To estimate the total amount, round each price to the nearest dollar:

1. Hat: $19.49 → $19 (since 0.49 rounds down)
2. Shirt: $21.49 → $21 (since 0.49 rounds down)
3. Shoes: $59.99 → $60 (since 0.99 rounds up)

Now, add the rounded values:

19+21+60=10019 + 21 + 60 = 10019+21+60=100

the mean of a data set is the total scores divided by the number of tests.

Total test scores =80+68+74+87+96=405

Number of tests =5

Mean test score =405/5=81

The mean test score is 81.