To determine the cost of a meal, the restaurant considers the quantity of the meal, the number of toppings, and the types of spices. Which of the following is the dependent variable?

The scatter plot showing the relationship between the number of absences in a semester and students’ final exam scores. The trend shows that as absences increase, exam scores decrease.

This represents a Negative Correlation because:

• When one variable (absences) increases, the other variable (exam score) decreases.
• The points on the scatter plot trend downward from left to right.

we are asked to find the number of gallons a full tank can hold. A full tank is equivalent to 1.

Convert the mixed fraction into proper fraction as follows

If we let x be the number of gallons in full tank, and setting up the proportion equation with the number of gallons on the numerator and fraction of tank on denominator as follows.

Cross-multiply to find the value of x.

Converting 189/10 to a mixed fraction is 18 9/10. Thus, when the tank is full, it holds 18 9/10 gallons of water.

Step 1: Calculate the Discounted Price per Unit

The original price of each unit of bedding is $160. Since there is a 10% discount, the discounted price per unit is:

DiscountedPrice =160−(0.1×160) =160×0.9

Step 2: Determine the Total Cost

If X units are purchased, the cost for all units is:

T = (0.9)160X

Since there is a fixed shipping cost of $25 per order, the total cost equation becomes:

T = (0.9)160X+25

Step 3: Identify the Correct Answer

The equation that matches this is:

C. T=(0.9)160X+25

The circumference of a circle is given by the formula:

C=πd

where:

• d=16 inches
• π=3.14

Calculate the Circumference:

C=3.14×16 =50.24inches

we convert the given value in yards to the cm by setting up the equation below.

2 yards is equal to 182.88 cm, which is approximately 180 cm.

A standard six-sided die has the numbers 1, 2, 3, 4, 5, and 6. The even numbers are 2, 4, and 6.

Step 1: Probability of rolling an even number on the first roll

There are 3 even numbers out of 6 total numbers, so:

P (evenonsecondroll) = 3/6 = ½

Step 2: Probability of rolling an even number on the second roll

Since rolling the die is an independent event, the probability remains:

P (evenonsecondroll) = 3/6 = ½

Step 3: Multiply the probabilities

P (evenonfirstANDevenonsecond) = ½ × ½ = ¼

 we use the relation 1 L=1000 mL to convert 3.9 L to mL as follows.

Thus, 3.9 L is 3900 mL.

we find the value of x by applying the absolute conditions to the given equation.

First, add 2 to both sides of equation

Add 10 to both sides of the equation

Next, we apply the absolute rule:

If u=a, a>0, then u=a or u=-a

In this case a=5, which is greater 0.

The first condition becomes

Solving for x

The second condition becomes

Solving for x

Then, the value of x is -4/3 or 2.

Based on the given case, the outcome of measuring the duration of opening the bank is the amount of transaction, the number of deposits, and the number of loans available. The three outcomes are dependent variables while the number of opening hours is the independent variable.

We are asked to determine John’s uncle’s age relating to John’s age.

First, express John’s uncle’s age in terms of John’s age as follows

John’s age=k

John’s uncle’s age, u = 5k-12.

Thus, the relationship between Japheth’s uncle’s age to that of Japheth is u=5k-12.