A macaroni and cheese recipe calls for 1/3 cup of flour for every 1 1/5 cup of milk. To make a bigger batch, the chef uses 2 cups of flour. Which of the following would be the amount of milk needed for the bigger batch?
7 1/5 cups
2 2/5 cups
3 8/15 cups
6 cups
Correct Answer : A
We are being asked to find the amount of milk needed. This is a proportion problem, which compares the amount of flour to that of milk. Letting x represent the amount of milk required, we set up the proportion with flour on the numerator and amount of milk in denominator as follows:
Change the mixed fraction of 1 1/5 into improper fraction as follows
The proportion equation becomes
Cross-multiply to solve for x
As an mixed fraction, 36/5 becomes 7 1/5. Therefore, 7 1/5 cups of milk are needed to make a big batch of 2 cups.
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Correct Answer is B
Explanation
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Add 10 to both sides of the equation
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In this case a=12, which is greater 0. Then, the first condition becomes
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Then, the value of x is -1 or 2.
Correct Answer is B
Explanation
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To find the circumference, we need to find the radius of the circle from the given area.
Let r be the radius of the circle, and the area of the circle is given by
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Â
Correct Answer is D
Explanation
To find the median, we arrange the following numbers in data set from the smallest to the largest as follows.
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Correct Answer is D
Explanation
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The value 91.44 cm is close to 90 cm. Therefore, 1 yard is approximately 90 cm.
Correct Answer is A
Explanation
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Correct Answer is D
Explanation
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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.
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Correct Answer is C
Explanation
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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
-1.3 becomes 13/10
Then, we find the LCM for the denominators of the given fractions. The LCM of 3 and 10 is 30. Now we can multiply each fraction with the LCM.
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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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Explanation
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Therefore, the price of the stock on Thursday was $52.36.
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