John’s uncle is twelve less than five times John’s age. Which of the equations represents John’s uncle’s age (u) as it relates to John’s age (k)?
u = 12-5k
k = 5u-12
k = 12-5u
u = 5k-12
Correct Answer : D
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.
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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
 Let the unknown length of the x. The resulting rectangle is shown below.
Then, we apply the Pythagoras theorem to find the value of x as:
The value of the unknown length is approximately 17.7 feet.
Correct Answer is D
Explanation
To find the cheapest option, we find the expenditure on each given option.:
2 two-24 packs of Orange and 1 pack of Cream Soda=2($15)+$3=$33
3 one 24-pack of Orange=3($9)=$27
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5 packs of cream Soda=5($3)=$15
Spending 5 packs of cream soda is the cost-effective option.
Correct Answer is D
Explanation
9/26 is equivalent to 9÷26. The value becomes 0.3461538.
Thus, 0.35is the decimal equivalent of 9/26.
Correct Answer is D
Explanation
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.
Correct Answer is A
Explanation
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.
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 B
Explanation
 we need determine the radius of the circle before we can find the circumference of the circle from the given area.
Let r be the radius of the circle, then
Substituting the value of area
Dividing both sides by pi and taking square root on both sides yields
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Correct Answer is A
Explanation
we are asked to find the number of cups of flour that will be used to make 130 cookies.
First, we convert 3 ¼ into improper fraction as:
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Solve the value of x by cross-products
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