A recipe calls for 3 teaspoons of vanilla. 1 teaspoon equals approximately 4.93 mL. Which of the following is the correct amount of vanilla in mL?
34.33 mL
9.58 mL
10.49 mL
14.79 mL
Correct Answer : D
To find the amount of vanilla in mL, use dimensional analysis of the units of measurements.
Two ways to convert between teaspoon and mL are:


Since we are required to find the amount in mL, we use a cionverstioon that will result in mL. Inspecting the above options, we use the second option and set up an equation in way the unwanted units cancel out and leave the wanted unit we are looking for. Then,

Thus, a recipe of 3 teaspoons equals 14.79 mL.
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Related Questions
Correct Answer is D
Explanation
To find the greatest number from the given options, convert the decimal numbers into fractions.
6.98 becomes 698/100
9.2 becomes 92/10
The least common denominator for the denominators of 7, 100 and 10 is 700. Now we can multiply each fraction with 700 as follows:
3/7*700=300
698/100*700=4886
10/7*700=1000
92/10*700=6440
In order from the smallest to largest, we organize the number set as follows:
3/7, 10/7, 6.98, 9.2.
Thus, 9.2 is the greatest of all.
Correct Answer is C
Explanation
To find the pounds equivalent of the kg given, we use the two options as given below.

OR

Since we want to remain with pounds, we use the second option and set up the equation below.

Thus, 65 kg is equal to 143 lb.
Correct Answer is D
Explanation
The probability of finding a green ball is given by

Â
Total number of balls in the bag=6+8+3=17 balls

Therefore, the probability of drawing a green ball from the bag containing 17 balls is 6/17.
Correct Answer is D
Explanation
We use the given slope to find the minimum length of the ramp. In this case, slope is the ratio of height to length of the lamp. Thus,

If we let x be the minimum length of the ramp. Then,

Substituting the value of slope into the above equation results in,

Solve for value of x by cross-products

X = 18 Feet
Thus, the minimum length of the ramp needed to provide access to a door that is 1.5Â high is 18Â feet.
Correct Answer is B
Explanation
The number of boxes is determined by volume of the room divided by volume of one box.
Number of boxes

Therefore, about 24 boxes can be stacked in the room.
Correct Answer is D
Explanation
The median of a data set is a number that falls in the middle of the data set. To find the median, the numbers in the data set are arranged from the smallest to the largest. In the given data set, the organized arrangement is:
-5, -1, 0, 3, 9
There are five elements in the data set, and the median falls in the third position from either side. Thus, 0 falls in the third position.
Correct Answer is B
Explanation
We need to find the radius of the circle in order to find circumference of the circle. If we let r to be radius of the circle, then

Substituting 169Ï€
 in place of area
 
Dividing both sides by pi and taking square root on both sides yields

The radius of the circle from the given area is 13 in. and the circumference of the circle is given by the relation:

Correct Answer is D
Explanation
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+5)
Area of the rectangle, A= Length*width=(w+5)*w
A=w(w+5)
Thus, the area of the rectangular room is w(w+5).
Correct Answer is A
Explanation
A dependent variable is one that depends on the independent variable. An independent variable is one that when changed result in a change of another variable.
In this problem, if we change the brand of laptop, tax rate, and memory size, the price of the laptop changes. Thus, the cost of the laptop is the dependent variable.
Correct Answer is B
Explanation
To find the median of a data set, we need to first order the data from least to greatest, then find the middle value.
Step 1: Order the data from least to greatest:
The original data set is:
12,19,7,14,22,26,15
Ordered from least to greatest:
7,12,14,15,19,22,26
Step 2: Find the middle value
Since there are 7 numbers (an odd number of data points), the median will be the middle value, which is the 4th number in the ordered list.
7,12,14,15,19,22,26
The middle value is 15.
Conclusion:
The median of the data set is 15.
The correct answer is B. 15.
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