A door lock requires 3 different letters to be pressed in the correct order. If each permutation can only be made from the letters ABC, how many different permutations can there be?

Answers

Answer 1
Answer:

Answer:  6 different permutations .

Step-by-step explanation:

The permutation of n things taken r at a time is given by:-

^nP_r=(n!)/((n-r)!)

Given : A door lock requires 3 different letters to be pressed in the correct order.

If each permutation can only be made from the letters ABC, then the number of different permutations can there be is given by :-

^3P_3=(3!)/((3-3)!)=3!=3*2=6

Hence, there can be 6 different permutations .

Answer 2
Answer: ABC ACB BAC BCA CBA CAB
total:6

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If p is true and q is false, the p -> q is always, sometimes, never true.When p is false and q is true, then p or q is always, sometimes, never true. If p is true and ~ q is false, then p -> ~ q is always, sometimes, never false. If p is true and q is true, then ~ p -> ~ q is always, sometimes, never true. If p -> q is true and q is true, then p always, sometimes, never is
Which function is odd? Check all that apply.A. y = sec x B. y = sin x C. y = cot x D. y = csc x

-(4x - 7) + 1 = 2 (5 - 2x) solve for x

Answers

Answer:

No solution

Step-by-step explanation:

-(4x - 7) + 1 = 2(5 - 2x)

-4x + 7 + 1 = 10 - 4x

-4x + 8 = 10 - 4x

-4x + 8 ≠ -4x + 10

No solution

If you have complementary angles and one angle is 83°, what is the other angle?

Answers

Answer:

7 degrees

Step-by-step explanation:

90-83=7

Answer:

7 degrees

Step-by-step explanation:

complementary angles are equal to 90

A rectangle is twice as long as it is wide. it's width is 5 1/2 cm. find the area of the rectangle.

Answers

Area of rectangle having length 11 cm and breadth 11/2 cm is 121/2 cm² .

Given, that length of rectangle is double that of its width.

Area of rectangle = l × b
l = Length of rectangle .

b = Breadth of rectangle .

As length of rectangle is double of width.

Width = 11/2 cm

Length = 2 × (11/2) cm

Length = 11 cm

Substitute the values in the area formula,

Area of rectangle = l × b

Area of rectangle = 11 * (11)/(2)

Area of rectangle = (121)/(2)  cm^2

Therefore the area of rectangle is (121)/(2)  cm^2 .

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  A rectangle is twice as long as it is wide. it's width is 5 1/2 cm. find the area of the rectangle.   
 
answer: 60 1/2 cm.

Debra and Ian shared in $1,000,000 estate. If Ian received $125,000 and debra the rest, what fraction of the estate did Debra receive?

Answers

Answer: Fraction of the estate Debra will received is (7)/(8)

Step-by-step explanation:

Since we have given that

Amount shared by Debra and Lan = $1000,000

Amount received by Lan = $125,000

According to question, Debra received the rest.

So, Amount received by Debra is given by

\$1000000-\$125000\n\n=\$875000

Fraction of the estate Debra will receive is given by

(875000)/(1000000)\n\n=(875)/(1000)\n\n=(35)/(40)\n\n=(7)/(8)

Hence, Fraction of the estate Debra will received is (7)/(8)

Debra received 7/8
if you divide 1,000,000 by 125,000 you get 8. which means Ian got 1/8 of the money. leaving 7/8 for Debra

The total land area of the United States is about 3,483,511 square miles more than the total land area of Tennessee,which is about 53,927 square miles. Write and solve an equation to find the total area of the United State.

Answers

The total area of the United State will be 3,537,438.

What is Addition?

The process of combining two or more numbers is called the Addition.

Given that;

The total land area of the United States is about 3,483,511 square miles more than the total land area of Tennessee, which is about 53,927 square miles.

Now,

Let the total area of the United State = x

Hence, We can formulate;

⇒ x = 3,483,511 + 53,927

⇒ x = 3,537,438

Thus, The total area of the United State = 3,537,438.

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53,927+3,483,511=3,537,438

10. The ratio of the number of male employees to the number of female employees in Westlake high school is 6:5. There are 40 females in the school. How many total employees are in Westlake high school?

Answers

Answer:

45

Step-by-step explanation:

Male = 6          Male = ?

Female = 5      Female = 40

                                         ^

? = 6x5 because 5x5 = 40