A baker is using a cookie recipe that call for 2 ¼ cups of flour to yield 40 cookies. How much flour will the baker need to make 90 cookies using the same recipe?
6 7/18 cups
5 5/18 cups
2 3/16 cups
5 1/16 cups
Correct Answer : D
We are asked to find the number of cups of flour that will be used to make 90 cookies.
First, we convert 2 ¼ into improper fraction as:
Letting x to be the number of cups of flour, we set up a proportion equation with number of cookies on numerator and number of cups of flour on the denominator becomes:
Solve the value of x by cross-products
Dividing both sides by 60, the above equation result to
Thus, the number of cups of flour needed to make 90 cookies is 81/16 cups, which is equal to 5 1/16 cups.
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Absolute change in weight=(left|120-153 ight|=left|-33 ight|=33)
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Percent change=0.216*100%=21.6%
The percent change in weight lost is 21.6 %, which is about 22%.
Correct Answer is D
Explanation
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Thus, the minimum length of the ramp needed to provide access to a door that is 1.5 high is 18 feet.
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Explanation
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From the given information, a pie chart is an appropriate tool show the frequency of the students choosing their favorite color.
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Explanation
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First, we start with the numerator and solve it as follows
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Thus, the expression is reduced into
The expression reduces into 6.
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Explanation
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Explanation
we need to find the portion of pizza shared by other three friends.
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Correct Answer is D
Explanation
We are asked to find the number of cups of flour that will be used to make 90 cookies.
First, we convert 2 ¼ into improper fraction as:
Letting x to be the number of cups of flour, we set up a proportion equation with number of cookies on numerator and number of cups of flour on the denominator becomes:
Solve the value of x by cross-products
Dividing both sides by 60, the above equation result to
Thus, the number of cups of flour needed to make 90 cookies is 81/16 cups, which is equal to 5 1/16 cups.
Correct Answer is B
Explanation
Before finding the greatest number from the data set, the numbers need to be in fraction form.
-0.5=-5/10
-1.5=-15/10
The set of numbers becomes -2/3, -5/10, -15/10, -4/9
Now the least common denominator for 3, 10, and 9 is 90, which will be used to multiplied by the given fractions as follows:
-2/3*90=-60
-5/10*90=-45
-15/10*90=-135
-4/9*90=-40
From the above evaluations, the resulting numbers arranged from the smallest to the largest is -135, -60, -45, -40. Thus, the greatest number from the data set is -40, with a corresponding fraction of -4/9.
Correct Answer is D
Explanation
We use the relation 1 L=1000 mL to convert L to mL.
The two options for converting between L and mL are
And
We use the first option to convert 6.5 L to mL as follows:
Thus, 6.5 L is 6500 mL.
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