A recipe calls for 2/9 cup of flour for every 1 2/5 cup of milk. To make a bigger batch, the chef uses 2 cups of flour.
Which of the following would be the amount of milk needed for the bigger batch?
12 1/5 cups
12 3/5 cups
8 1/25 cups
10 3/25 cups
Correct Answer : B
The number of cups of milk to make a bigger batch, we proceed as follows:
First convert the mixed number 1 2/5 as
Then, we let the unknown number of cups of milk to be x and we set a proportion equation with number cups of floor as numerator and cups of milk as denominator
Find the value of x by cross-products
2 as a fraction is 2/1 which is then used to find the product of the numerator as follows.
Per means division. The above equation becomes
When dividing fractions, we multiply the first fraction with the reciprocal of the second. The reciprocal of 2/9 is 9/2. Thus
The numbers of cups of milk required is 63/5, which when converted to mixed fraction becomes 12 3/5.
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Related Questions
Correct Answer is B
Explanation
We need to find the radius of the circle in order to find circumference of the circle. If we let r to be radius of the circle, then
Substituting 169π in place of area
Â
Dividing both sides by pi and taking square root on both sides yields
The radius of the circle from the given area is 13 in. and the circumference of the circle is given by the relation:
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 B
Explanation
P-At=-kr
Subtract P on both sides
P-P-At=-kr-P
-At=-kr-P
Divide both sides by -t
-At/-t=(-kr-P)/-t
A=(kr+P)/t
Correct Answer is B
Explanation
A histogram is used to visualize the frequency of a one variable over the other while a line graph is used to compare two variables.
A scatter plot used to show the correlation between two variables.
A pie chart is used to show the proportion of the given information in circle, with each section of a circle representing a given fraction of a whole.
From the given information, a pie chart is an appropriate tool show the frequency of the students choosing their favorite color.
Correct Answer is B
Explanation
The number of cups of milk to make a bigger batch, we proceed as follows:
First convert the mixed number 1 2/5 as
Then, we let the unknown number of cups of milk to be x and we set a proportion equation with number cups of floor as numerator and cups of milk as denominator
Find the value of x by cross-products
2 as a fraction is 2/1 which is then used to find the product of the numerator as follows.
Per means division. The above equation becomes
When dividing fractions, we multiply the first fraction with the reciprocal of the second. The reciprocal of 2/9 is 9/2. Thus
The numbers of cups of milk required is 63/5, which when converted to mixed fraction becomes 12 3/5.
Correct Answer is A
Explanation
Using a calculator to evaluate 15÷27 results in 0.5555555556. To two decimal places, the answer becomes 0.56.
Thus, 0.56 is the decimal equivalent of 15/27.
Correct Answer is B
Explanation
The percentage change in weight is found in three steps below:
Absolute change in weight=final weight-initial weight
Absolute change in weight=(left|120-153 ight|=left|-33 ight|=33)
Relative change in weight=(frac{absolute change}{initial weight}=frac{33}{153}=0.216)
Percent change=relative change * 100%
Percent change=0.216*100%=21.6%
The percent change in weight lost is 21.6 %, which is about 22%.
Correct Answer is A
Explanation
The length of the chair could be appropriately measured in centimeters. Kilometers are used to measure long distances while micrometers could be used to measure the length of small microorganism in microbiology lab. However, milligrams are used to measure the masses of small quantities.
Correct Answer is A
Explanation
We are tasked to find the stock price on Thursday from the given information. Here, we need to find the stock of each day from the price increase or decrease. If the price increases, we add to the previous day’s price and subtract if the price decreases.
Monday’s stock price=$65.50
Tuesday’s stock price is Monday’s plus $1.50=65.50+1.50=$67.00
Wednesday’s stock price went down by $2.57 from Tuesday’s=67.00-2.57=$64.43
Thursday’s stock price went up by $2.25 from Wednesday’s =64.43+2.25=$66.68
From the above evaluation, the stock price on Thursday was $66.68
Correct Answer is A
Explanation
we need to find the portion of pizza shared by other three friends.
Two friends eat half of the pizza, which is ½
And the remaining amount of pizza,Â
Now, the other three friends share ½ amongst themselves equally. Then, each friend gets
The other three friends each gets 1/6 of the pizza.
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