**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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Given the equation A(f)=92+2f

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### Correct Answer is B

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The percentage change in weight is found in three steps below:

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Absolute change in weight=(left|120-153 ight|=left|-33 ight|=33)

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The percent change in weight lost is 21.6 %, which is about 22%.

### Correct Answer is D

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### Correct Answer is B

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### Correct Answer is C

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### Correct Answer is A

#### 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

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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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