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3 years ago

Amber has 5/2 pounds of salt dough for a project. she writes this equation to show 5/2. 5/2= 5×1/2

Mathematics

1 answer:

Alona [7]3 years ago

3 0

If you would like to know whether or not what she wrote is accurate, it is.

Hope that helps!

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A corporation must appoint a president, chief executive officer, chief operating officer and chief financial officer. It also ap

erik [133]

Answer:

Part a: The number of ways in which the candidates can be appointed on the executive posts are 11880.

Part b: The number of ways in which the candidates can be appointed as members of the planning committee are 495.

Step-by-step explanation:

As the complete question is not given a similar question is found online and is attached herewith.

Part a: Number of ways in which 12 candidates can be appointed for President, Chief Executive Officer, Chief Operating Officer and Chief Finance Officer.

Number of Candidates=12

Number of Posts=4

As the order is important the number of ways are identified using Permutations given as

$Number\,\ of\, ways=^{12}P_4\\Number\,\ of\, ways=\frac{12!}{(12-4)!}\\Number\,\ of\, ways=\frac{12!}{8!}\\Number\,\ of\, ways=11880$

So the number of ways in which the candidates can be appointed on the executive posts are 11880.

Part b: Number of ways in which 12 candidates can be appointed as members of the planning committee.

Number of Candidates=12

Number of Posts=4

As the order is not important the number of ways are identified using Combinations given as

$Number\,\ of\, ways=^{12}C_4\\Number\,\ of\, ways=\frac{12!}{(12-4)!4!}\\Number\,\ of\, ways=\frac{12!}{8!4!}\\Number\,\ of\, ways=495$

So the number of ways in which the candidates can be appointed as members of the planning committee are 495.

8 0

3 years ago

Make x the subject of the equation: y=ax^2

valkas [14]

Answer:

x= ± sqrt [ y/a]

Step-by-step explanation:

y = ax^2

y/a = x^2

x^2 = y/a

x= ± sqrt [ y/a]

6 0

3 years ago

The perimeter of a square is 44 centimeters. what is its area?

aalyn [17]

Answer:

Perimeter = 44cm

we know that square has 4 sides which are same

so perimeter means sum of all 4 sides

4 × s = 44cm

s = 11cm

Each side will be of 11cm.

Now area of square is Square of its side length.

so area = 11 × 11 = 121 cm^2

8 0

3 years ago

Determine if true:<br> 24+24-8x2=80

Savatey [412]

Answer:true

Explanation:
24+24=48
48-8=40
40x2=80
80=80!

So it is true.

5 0

2 years ago

Circumference and Area questions look at the picture

Helga [31]

Note that the formula for the circumference of a circle is πd, while the formula for the area of a circle is πr².

π≈3.14

A. C=πd

Simply plug in the numbers into the formula.

Diameter=Radius*2

17*2=34

C=34(π)

B. (π)(5²)

Plug in the numbers into the formula. Remember that half of the diameter is the radius.

C. (π)(4.5)

There are two possible formulas that could be used to calculate the circumference of a circle: πd and 2πr.

The expression above is simply multiplying the circle's radius times pi. Therefore, it is not a method that could be used to find the circumference of a circle.

D. (π)(6.5²)

Remember that the formula for calculating the area of a circle is πr².

Half of the diameter is 6.5 (13.5/2=6.5). 6.5 cm. is the radius. Now just plug the numbers into the formula.

(π)(6.5²)

Therefore, the last answer choice is the correct answer.

5 0

2 years ago