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
We use the calculator to determine the positive square root of 20, which is then multiplied by 20.
Using the calculator,
Multiplying the square root above with 10 becomes
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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
[2(3+15)]
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 C
Explanation
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First, we label the triangle as below and let the unknown length be x.
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The value of the unknown length is approximately 8.9 feet.
Correct Answer is D
Explanation
The probability of an event is determined by the relation
Finding the probability of drawing the red ball, we need to find the total number of balls in the bag.
Total number of balls in the bag=5+4+3=12 balls
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Correct Answer is A
Explanation
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First, the pizza is whole, representing a value of 1. Then, one friend ate half of the pizza. Thun, the fraction of the pizza the friend gets is:
First friend eats =1/2 of 1=1/2
Remaining fraction of the pizza=1-1/2=1/2
Now, the three friends share ½ amongst themselves equally. Then, each friend gets
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Correct Answer is B
Explanation
We need to find the circumference of the circle from the given area.
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
Substituting the value of area in the above equation becomes
Dividing both sides by pi and taking square root on both sides yields
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Â
Correct Answer is A
Explanation
7/25 is the same as 7÷25. The value becomes 0.28.
Thus, 0.28 is the decimal equivalent of 7/25.
Correct Answer is B
Explanation
By inspection, we find the corresponding values of the given denominations in the following manner.
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,
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Explanation
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