A bucket containing 5 2/5 gallons of water is 2/7 full. How many gallons of water is in one fully filled bucket?
14/15
2 7/15
8 4/5
18 9/10
Correct Answer : D
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.
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Correct Answer is B
Explanation
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.
Correct Answer is C
Explanation
 we need to find the portion of pizza shared by two other friends.
We know that a whole pizza represents 1 and one friend eats half of it. So, the remaining amount left to other two friends is
Remaining fraction of the pizza=1-1/2=1/2
Now, the two friends share ½ amongst themselves equally. Then, each friend gets
The two friends each gets 1/4 of the pizza.
Correct Answer is B
Explanation
The median of a data set is determined by arranging the numbers in ascending orders, and the median is the number the falls in the middle position.
-7, -4, 1, 3, 9
There are five numbers in the data set, and the median falls in the third position from either side. Thus, 1 fall in the third position.
Correct Answer is D
Explanation
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.
Correct Answer is D
Explanation
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.
Correct Answer is A
Explanation
 To find the minimum length requires, we need to understand what slope in the question represents. The slope represents the ratio between the height to the length. Let x be the minimum length of the ramp. Then,
Now, we find the value of x by cross-products as follows
                                  Â
Thus, the minimum length required to provide access is 60 feet.
Correct Answer is D
Explanation
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
Correct Answer is D
Explanation
To round 24.375 kg to the nearest tenth (0.1 place), follow these steps:
- Identify the tenth place in 24.375:
- Tenth place: 3 (24.375)
- Hundredths place: 7 (the next digit after the hundredths place)
- Apply rounding rules:
- If the hundredths place is 5 or greater, round up the tenth place.
- Since 7 is in the hundredths place, round 24.3 up to 24.4.
Correct Answer is D
Explanation
The range is a simple measure of statistical dispersion that shows the spread between the highest and lowest values in a data set.
Formula for Range:
Range=MaximumValue−MinimumValue
Example Calculation:
From the given box plot:
Identify the maximum value: 92
- Identify the minimum value: 12
- Subtract the minimum from the maximum: 92−12=80
Thus, the range of this data set is 80.
Correct Answer is B
Explanation
To find the amount of vanilla in mL, we set up an equation in a way the unwanted units cancel out and leave the wanted unit we are looking for. Then,
Thus, a recipe of 6 teaspoons equals 29.58 mL.
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