**A recipe calls for 5/7 cup of flour for every 2 3/5 cup of milk. To make a bigger batch, the chef uses 3 cups of flour. Which of the following would be the amount of milk needed for the bigger batch?**

12 1/5 cups

12 2/5 cups

8 9/25 cups

10 23/25 cups

*Correct Answer : D*

To find the required number of cups milk needed, we set a proportion equation with number of cups be numerator and cups of milk as denominator.

Let x be the number of cups of milk needed, then

The numbers of cups of milk required is 273/25, which when converted to mixed fraction becomes 10 23/25.

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Related Questions

### Correct Answer is D

#### Explanation

**Â **we use the calculator to determine the positive square root of 20, which is then multiplied by 20.

Using the calculator,

Â

Multiplying the square root above with 5 becomes

The approximate value is 26.9.

### Correct Answer is A

#### Explanation

A histogram depicts the frequency of a one variable over the other while a bar graph is used to compare two variables with vertical axis representing the heights. Therefore, a histogram will be used to represent percent of the number of students reading after 9.

### Correct Answer is D

#### Explanation

the mean of a data set is the total scores divided by the number of tests.

Total test scores =80+68+74+87+96=405

Number of tests =5

Mean test score =405/5=81

The mean test score is 81.

### Correct Answer is B

#### Explanation

**Â **we need determine the radius of the circle before we can find the circumference of the circle from the given area.

Let r be the radius of the circle, then

Substituting the value of area

Dividing both sides by pi and taking square root on both sides yields

Now, the radius of the circle is 8 in. and the circumference of the circle is given by the relation:

### Correct Answer is C

#### Explanation

**Â **we use the relation 1 L=1000 mL to convert 3.9 L to mL as follows.

Thus, 3.9 L is 3900 mL.

### Correct Answer is D

#### Explanation

The initial step is to convert the decimal options to fractions. Then, we find the LCM of the denominators of all fractions, which will be used to compare the values of the given options.

-0. becomes -9/10

-1.7 becomes -17/10

Then, the resulting denominators are 9, 10, and 63. Their LCM of 630 is used to multiply each fraction.

-2/9*630=-140

-9/10*630=-567

-17/10*630=-1071

-4/7*630=-360

From the calculations above, -140 is the greatest value of all the values. Thus, -2/9 is the greatest number.

### Correct Answer is D

#### Explanation

9/26 is equivalent to 9*÷*26. The value becomes 0.3461538.

Thus, 0.35is the decimal equivalent of 9/26.

### Correct Answer is A

#### Explanation

we find the value of x by applying the absolute conditions to the given equation.

First, add 2 to both sides of equation

Add 10 to both sides of the equation

Next, we apply the absolute rule:

If *u**=a*, a>0, then u=a or u=-a

In this case a=5, which is greater 0.

The first condition becomes

Solving for x

The second condition becomes

Solving for x

Then, the value of x is -4/3 or 2.

### Correct Answer is D

#### Explanation

**Â **Let the unknown length of the x. The resulting rectangle is shown below.

Then, we apply the Pythagoras theorem to find the value of x as:

The value of the unknown length is approximately 17.7 feet.

### Correct Answer is A

#### Explanation

The probability of finding the probability of a yellow ball is given by

Total number of balls in the bag=2+3+7=12 balls

The probability of drawing a yellow ball from the bag is 7/12.

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