Kwame’s uncle is seventeen less than three times Kwame’s age. Which of the equations represents Kwame’s uncle’s age (u) as it relates to Kwame’s age (k)?
u=17-3k
k=3u-17
k=17-3u
u=3k-17
Correct Answer : D
We are asked to find the Kwame’s uncle’s age in terms of Kwame’s age.
First, we need to find the age of Kwame, which is k. Then, we know that Kwame’s uncle’s age is three times that of Kwame less 17. Then,
Kwame’s uncle’s age, u = 3k-17.
Thus, the relation that relates Kwame’s uncle’s age to that of Kwame is u=3k-17.
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Correct Answer is C
Explanation
We are asked to convert kg to pounds using the given relation. Letting x to represent the lb we are looking for.
Nest, we set the proportion with kg in the numerator and lb on the denominator as follows.

We find the value of x by cross-multiplication


The value of x is 110 lb.
Correct Answer is C
Explanation
The question requires us to find the percentage change in weight of a person.
First, we need to find the change in weight over the 3 months
Change in weight= 180-160=20 lb
Percent change in weight is change of original weight *100. Thus

The percent change in weight is 11% to the nearest whole number.
Correct Answer is A
Explanation
The mean of a data set is the total scores divided by the number of tests.
Total test scores =100+78+47+84+93+78=480
Number of tests =6
Mean test score =480/6=80
The mean test score is 80.
Correct Answer is A
Explanation
To find the cost-effective option, we need to find how much the consumer will spend for the given options:
2 packs of Orange and 1 pack of Cream Soda will cost $18+$5= $23
3 Packs of Orange will cost $18+$10=$28
2 packs of Root Beer and 1 pack of Cream Soda will cost 2($12)+$5=$29
5 packs of cream Soda will cost 5($5)=$25
From the above evaluation, the consumer will spend $23 for a cost effective package of soft drinks. Thus, 2 packs of Orange and 1 pack of Cream Soda will be cheaper to purchase compared to other options.
Correct Answer is C
Explanation
We use the relation 1 L=1000 mL to convert 0.5 L to mL as follows.

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Correct Answer is A
Explanation
We follow the order of operations to solve the given expression.
First, we start with the numerator and solve it as follows
[2(3+5*3)]
We start with multiplication in inner brackets, 5*3=15. The expression becomes
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Then, we conduct the addition of 3+15=18. Then, the expression yields
[2(18)]=2*18=36
Now, we solve for denominator, which is 12/2=6.
Thus, the expression is reduced into

The expression reduces into 6.
Correct Answer is A
Explanation
Step 1: Determine the remaining balance
The total cost of the television is $1,570, and the consumer made a $400 down payment.
Remainingbalance=1,570−400=1,170
Step 2: Calculate the number of months
The consumer pays $100 per month, so:
Months=1,170/100=11.7
Since the consumer cannot make a fraction of a payment, they will need 12 months to fully pay off the television.
Correct Answer is D
Explanation
In this problem, we need to compare the number of dimes to quarters.
If we let n be number of pennies in the bottle. Then,
Number of quarters in the bottle = 2n
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Now relating dimes to quarters, we have

Thus, there are 10 times as many dimes as quarters in the box.
Correct Answer is C
Explanation
An independent variable is a variable that is manipulated or changed in the experiment. From the given equation, t is an independent variable, which when changed changes the values of the f(t).
Correct Answer is A
Explanation
To find the greatest number from the given options, we first convert the decimal numbers into fractions.
-0.7 becomes 7/10
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-2/3*30=-20
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Comparing the obtained values from above, -20 is the greatest followed by -39, -40, -70 in that order. The fraction -2/3 gave a value of -20, which was the greatest value. Thus, -2/3 is the greatest value from the given option.
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