It takes 40 cents worth of meat to make 2 sandwiches. What is the cost of the meat for 20 sandwiches?

Additional 300 grams of flour will be required.

Let x = 6.2
Define y as half of x: y = 0.5x
Calculate y: y = 0.5 × 6.2 = 3.1
Calculate z by subtracting x and y from 14.5: z = 14.5 - 6.2 - 3.1 = 5.2
Each variable corresponds to a triangle side

To find the volume of an aluminum cylinder with a mass of 12.4 g and a length of 2.00 cm:
V = π r² L
Density of aluminum is 2.7 g / cm³
Therefore, V = 12.4 g: 2.7 g/cm³ ≈ 5 cm³
5 = 3.14 · r² · 2
r² = 5: 6.28
r² = 0.796
r = √0.796
Thus, the radius of the aluminum cylinder is 0.9 cm.
Answer:
The radius of an aluminum cylinder is 0.9 cm.

Answer:

a) 11,880

b) 495

c) 0.00202

Step-by-step explanation:

Given:

Here is the full question:

"A corporation needs to select a president, chief executive officer (CEO), chief operating officer (COO), and chief financial officer (CFO). It also needs to form a planning committee comprising four distinct members. There are 12

qualified candidates, and the officers can also serve on the committee.

Find:

a. Determine the number of ways to appoint the officers.

Solution:

- Total qualified candidates = 12

 - Number of officers to appoint = 4 (President, Chief Executive Officer, Chief Operating Officer, Chief Financial Officer)

- Since the order matters, we use permutations:

- The number of different arrangements to appoint officers = 12P4 = 11,880

b. Determine the number of ways to select the committee members.

   Total qualified candidates = 12

  The number of planning committee members = 4  

  Here, order doesn't matter, so we use combinations:

  The number of different ways to form a committee = 12C4 = 495

   

c. What is the likelihood of randomly choosing the committee members being the four youngest qualified candidates?

  P ( 4 youngest officers ) =  Chances of selecting 4 youngest / Total number of committees

                                           = 1 / 495

                                           = 0.00202

To solve this problem, I would add 7 to obtain...

... 2x² = 16

Next, I would divide by 2 to yield

... x² = 8

I would then take the square root, noting that both positive and negative solutions exist.

... x = ±√8

This root can be simplified to give...

... x = ±2√2

_____

This method appeared to be the most straightforward to me. Although one could apply the quadratic formula, that entails more steps.

... 2x² -16 = 0.... continuing by subtracting 9

... x = (-0 ± √(0² -4·2·(-16)))/(2·2).... inserting the coefficients into the formula

... x = ±(√128)/4 = ±√8 = ±2√2..... simplifying the final expression