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
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.
Correct Answer is D
Explanation
We are asked to determine John’s uncle’s age relating to John’s age.
First, express John’s uncle’s age in terms of John’s age as follows
John’s age=k
John’s uncle’s age, u = 5k-12.
Thus, the relationship between Japheth’s uncle’s age to that of Japheth is u=5k-12.
Correct Answer is B
Explanation
To determine the number of sophomore students, follow these steps:
- Identify the total number of students:
1,276
- Identify the percentage of sophomores:
29%
- Calculate the number of sophomores:
(29%×1,276) = (29/100× 1,276) = 370.04
- Round to the nearest whole number:
370
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 A
Explanation
The number of boxes is found by volume of the room divided by volume of one box.
Number of boxes
The room can hold 125 boxes.
Correct Answer is D
Explanation
The range of a data set is calculated as:
Range=MaximumValue−MinimumValue
From the given bar graph:
- The minimum number of goals scored is 0.
- The maximum number of goals scored is 5.
Thus, the range is:
5−0=5
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 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
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.
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.
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