To determine the cost of a pizza, the pizza parlor considers the diameter of the pizza, the number of toppings, and the amount of cheese. Which of the following is the dependent variable?
Amount of pizza
Diameter of the pizza
Cost of the pizza
Number of toppings
Correct Answer : C
We are asked to find the dependent variable from the given scenario. A dependent variable is one which varies with another variable. In this case, the cost of the pizza will change with the change in diameter of the pizza, number of toppings, and amount of cheese. In other words, the cost of the pizza depends on the three variables.
Therefore, cost is the dependent variable while the diameter of the pizza, number of toppings and amount of cheese are independent variables.
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Correct Answer is D
Explanation
We convert the given value in yard to the cm using the following set up.

The value 91.44 cm is close to 90 cm. Therefore, 1 yard is approximately 90 cm.
Correct Answer is B
Explanation
We need to find the value of x from the given equation. First, we move the value of 10 to the right-hand side of the equation.

Add 10 to both sides of the equation


Next, we apply the absolute rule:
,  a>0, then u=a or u=-a
In this case a=12, which is greater 0. Then, the first condition becomes

Solving for x



The second condition becomes

Solving for x



Then, the value of x is -1 or 2.
Correct Answer is C
Explanation
We need to find the price changes in each day of the week in order to find the price of the stock on Thursday.
Monday’s price was $50.33
Tuesday’s price went up by $2.35 from Monday’s price. The price was $(50.33+2.35)=$52.68
Wednesday’s price decreased by $1.07 from Tuesday’s price, and so the price of the stock was $(52.68-1.07)=$51.61
Thursday’s price increased by $0.75 from Wednesday’s price, which was $(51.61+0.75)=$52.36
Therefore, the price of the stock on Thursday was $52.36.
Correct Answer is A
Explanation
To find the greatest number from the given options, we first convert the decimal numbers into fractions.
4.25 becomes 425/100
4.4 becomes 44/10
Then, we find the LCM for the denominators of the given fractions. The LCM of 2, 100, 3 and 10 is 300. Now we can multiply each fraction with the LCM.
9/2*300=1350
425/100*300=1275
10/3*300=1000
44/10*300=1320
Comparing the obtained values from above, 1350 is the greatest followed by 1320, 12750, and 1000 in that order. The fraction 9/2 gave a value of 1350, which was the greatest value. Thus, 9/2 is the greatest value from the given option.
You can also convert to decimals and compare which would give you the same answer.
Correct Answer is C
Explanation
We use the relation 1 L=1000 mL to convert 0.5 L to mL as follows.

Thus, 0.5 L is 500 mL.
Correct Answer is C
Explanation
We are asked to find the one of the lengths of a right-angled triangle, we use the Pythagoras theorem to find the unknown length.
First, we label the triangle as below and let the unknown length be x.

Then, we apply the Pythagoras theorem to find the value of x as:
\(a^2+b^2=c^2\)


The value of the unknown length is approximately 8.9 feet.
Correct Answer is B
Explanation
We use the calculator to determine the positive square root of 20, which is then multiplied by 20.
Using the calculator, 
Multiplying the square root above with 10 becomes

The approximate value is 44.7.
Correct Answer is C
Explanation
Centimeteris the appropriate unit to measure the length of a dollar bill.
Correct Answer is A
Explanation
7/25 is the same as 7÷
25. The value becomes 0.28.
Thus, 0.28 is the decimal equivalent of 7/25.
Correct Answer is B
Explanation
By inspection, we find the corresponding values of the given denominations in the following manner.
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