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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Related Questions
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 A
Explanation
A dependent variable is one that depends on the independent variable. An independent variable is one that when changed result in a change of another variable.
In this problem, if we change the brand of laptop, tax rate, and memory size, the price of the laptop changes. Thus, the cost of the laptop is the dependent variable.
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
we find the value of x by applying the absolute conditions to the given equation.
First, add 2 to both sides of equation
The absolute conditions are:
If , a>0, then u=a or u=-a
In this case a=10, which is greater 0.
The first condition becomes
Add 2 to both sides of the equation
Divide both sides by 4
The second condition becomes
Add 2 to both sides of the equation
Divide both sides by 4
Then, the value of x is 3 or -2.
Correct Answer is D
Explanation
Percentages are fractions with denominator equal to 100. To convert a percent to decimal form, divide the value by 100.
The decimal form of 98.2% is 0.982.
Correct Answer is B
Explanation
The volume V of a rectangular box can be calculated using the formula:
V=length×width×height
Given:
- Length = 8 metres
- Width = 5 metres
- Height = 3 metres
Now, calculate the volume:
V=8 m×5 m×3 m=120 m3
Thus, the volume of the box is 120 cubic metres.
The correct answer is B. 120 m³.
Correct Answer is D
Explanation
We use the given slope to find the minimum length of the ramp. In this case, slope is the ratio of height to length of the lamp. Thus,
If we let x be the minimum length of the ramp. Then,
Substituting the value of slope into the above equation results in,
Solve for value of x by cross-products
X = 18 Feet
Thus, the minimum length of the ramp needed to provide access to a door that is 1.5 high is 18 feet.
Correct Answer is B
Explanation
We use the calculator to find the positive square root of 19, which is then multiplied by 3.
Using the calculator,
Multiplying the square root above with 3 becomes
The approximate value of 3 times the square root of 19 is 13.1.
Correct Answer is B
Explanation
The number of boxes is determined by volume of the room divided by volume of one box.
Number of boxes
Therefore, about 24 boxes can be stacked in the room.
Correct Answer is A
Explanation
To find the cheapest option, we find the amount the consume will spend for each option given.:
- 2 packs of Orange and 1 pack of Cream Soda will cost $16+$5= $21
- 3 Packs of Orange will cost $16+$12=$28
- 2 packs of Root Beer and 1 pack of Cream Soda will cost 2($15)+$7=$37
- 5 packs of cream Soda will cost 5($7)=$35
From the above evaluation, the cheapest option will cost the consumer $21. Thus, buying 2 packs of Orange and 1 pack of Cream Soda will be cheaper to purchase compared to other options.
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