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 D
Explanation
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Range=MaximumValue−MinimumValue
From the given bar graph:
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5−0=5
Correct Answer is D
Explanation
 we use the calculator to determine the positive square root of 20, which is then multiplied by 20.
Using the calculator,
Â
Multiplying the square root above with 5 becomes
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Correct Answer is C
Explanation
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Thus
The percent change in weight is 19% to the nearest whole number.
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
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If u=a, a>0, then u=a or u=-a
In this case a=5, which is greater 0.
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The second condition becomes
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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
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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
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
2 packs of Root Beer and 1 pack of Cream Soda=2($14)+$3=$31
5 packs of cream Soda=5($3)=$15
Spending 5 packs of cream soda is the cost-effective option.
Correct Answer is D
Explanation
To find the greatest number from the given options, convert the decimal numbers into fractions.
6.25 becomes 625/100
7.4 becomes 74/10
The LCM for the denominators of 8, 100, 7, and 10 is 2800. Now we can multiply each fraction with the LCM.
3/8*2800=1050
625/100*2800=17500
10/7*2800=4000
74/10*2800=20720
The fraction 7.4is the greatest of all.
Correct Answer is A
Explanation
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Correct Answer is C
Explanation
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Nest, we set the proportion with kg in the numerator and lb on the denominator as follows.
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