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 B
Explanation
we convert the given value in yards to the cm by setting up the equation below.

2 yards is equal to 182.88 cm, which is approximately 180 cm.
Correct Answer is B
Explanation
The median of a data set is determined by arranging the numbers in ascending orders, and the median is the number the falls in the middle position.
-7, -4, 1, 3, 9
There are five numbers in the data set, and the median falls in the third position from either side. Thus, 1 fall in the third position.
Correct Answer is C
Explanation
Step 1: Calculate the Discounted Price per Unit
The original price of each unit of bedding is $160. Since there is a 10% discount, the discounted price per unit is:
DiscountedPrice =160−(0.1×160) =160×0.9
Step 2: Determine the Total Cost
If X units are purchased, the cost for all units is:
T = (0.9)160X
Since there is a fixed shipping cost of $25 per order, the total cost equation becomes:
T = (0.9)160X+25
Step 3: Identify the Correct Answer
The equation that matches this is:
C. T=(0.9)160X+25
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 C
Explanation
 We are asked to convert kg to pounds using the given relation. Letting x to represent the lb we are looking for.
Nest, we set the proportion with kg in the numerator and lb on the denominator as follows.

We find the value of x by cross-multiplication

The value of x is 110 lb.
Correct Answer is C
Explanation
The weight of the knife could be appropriately expressed in grams. Since a knife is a small object, we do not expect to measure its weight in kilograms. Liter and milliliter are units of measuring the volume of objects.
Correct Answer is D
Explanation
The circumference of a circle is given by the formula:
C=πd
where:
- d=16 inches
- π=3.14
Calculate the Circumference:
C=3.14×16 =50.24inches
Correct Answer is D
Explanation
 We are asked to make w the subject of the formula.
First, we rearrange the equation by to ensure w is on the right hand of the equation.

Then, divide both sides by r

Multiply both sides by y

The above equation can be rearranged into

Thus, the formula for finding the value of w is (x/ry)-(z/r).
Correct Answer is D
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 5 becomes

The approximate value is 26.9.
Correct Answer is D
Explanation
we are asked to find the number of gallons a full tank can hold. A full tank is equivalent to 1.
Convert the mixed fraction into proper fraction as follows

If we let x be the number of gallons in full tank, and setting up the proportion equation with the number of gallons on the numerator and fraction of tank on denominator as follows.

Cross-multiply to find the value of x.



Converting 189/10 to a mixed fraction is 18 9/10. Thus, when the tank is full, it holds 18 9/10 gallons of water.
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