At one time during 2001 for every 20 copies of Harry Potter and the Sorcerer's Stone that were sold 13.2 copies of Harry Potter and the Prisoner of Azkaban were sold express the ratio of copies of the Prisoner of Azkaban sold two copies of the Sorcerer's Stone sold as a percent

Answers

Answer 1
Answer: In order to solve this, you have to take the number of copies of the Prisoner of Azkaban and divide it by the number of copies of the Sorcerer's Stone:
13.2÷20=0.66
To get this into a percentage, multiply the 0.66 by 100, and get 66%, meaning that The Prisoner of Azkaban was sold only 66% as much as The Sorcerer's Stone.

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In this parallelogram, the measure of     angle b    exceeds the measure of   angle a by 30        What is the measure of  angle c

Answers

angle a +angle b = 180 degrees
angle a + angle a + 30 = 180
2*angle a = 150
angle a = 75degrees
angle b = 75+30 = 105 degrees
now, angle b +angle c = 180
so, angle c = 180-105 = 75 degrees

What is the next number in the sequence 9....3....1....1/3?

Answers

Answer:

The next number in the sequence is 1/9

Step-by-step explanation:

The sequence you present is a geometric sequence. Geometric sequences are sequences in which successive terms are increases/decreases of an initial number by a common constant factor and are defined as

An= A0*r^(n-1)

The nth term of the sequence is the first term A1 multiplied by a common factor r.

In your problem A1 is 9. The common factor between terms is 1/3 because

9* (1/3) = 9/3= 3

3* (1/3) = 9/3= 1

1* (1/3) = 1/3= 1/3

So the fifth term n= 5 is

An= A0*r^(n-1)

A5=9*(1/3)^(5-1) =9*(1/3)^(4) =9*(1/81)=9/81= 1/9

The answer is 1/9

The next number in the sequence is 1/9.

The sequence provided is 9, 3, 1, 1/3. To identify the pattern and find the next number in the sequence, we observe that each subsequent term is obtained by dividing the previous term by 3.

9 ÷ 3 = 3

3 ÷ 3 = 1

1 ÷ 3 = 1/3

Therefore, the pattern suggests that we should divide the last term, 1/3, by 3 to find the next number:

(1/3) ÷ 3 = 1/9

Learn more about Sequence here:

brainly.com/question/19288249

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Simplify. (15/x-5)-5 = (21/x-6)-7

Answers

Answer:

x = 2

Step-by-step explanation:

To simplify the given equation:

(15/x - 5) - 5 = (21/x - 6) - 7

First, let's simplify the algebraic expressions within the parentheses.

(15/x - 10) = (21/x - 13)

Now, let's multiply both sides of the equation by the common denominator, which is x.

x * (15/x - 10) = x * (21/x - 13)

This simplifies to:

15 - 10x = 21 - 13x

Next, let's combine like terms.

-10x + 15 = -13x + 21

Adding 10x to both sides of the equation:

15 = -3x + 21

Now, subtract 21 from both sides of the equation:

15 - 21 = -3x

-6 = -3x

Finally, divide both sides by -3 to solve for x:

x = -6 / -3

Simplifying the expression, we find:

Not sure how to solve 2sinxcosx+cosx=0  Could you help?

Answers

2sinxcosx+cosx=0\n\ncosx(2sinx+1)=0\iff cosx=0\ \vee\ 2sinx+1=0\n\ncosx=0\ \vee\ 2sinx=-1\ /:2\n\ncosx=0\ \vee\ sinx=-(1)/(2)\n\nx=(\pi)/(2)+k\pi\ \vee\ x=-(\pi)/(6)+2k\pi\ \vee\ x=(7\pi)/(6)+2k\pi\ to\ k\in\mathbb{Z}

Evaluate the expression for the given value of the variable(s). -x 2 - 4x; x = -3

A. 11
B. 3
C. -17
D. -1

Answers

-x^2 - 4x when x = -3
-(-3)^2 -4(-3)
= - 9 + 12 
= 3

answer is 
B. 3 

alan participated ina car race in which he had to cover a distance of at least 50 kilometers. he had fuel in his car for a maximum distance of 53 kilometers. if the distance is given by S (t) = 3t + 47, where t is the time in hours, find the minimum and maximum number of hours for which alan can drive his car.

Answers

This problem has more holes than swiss cheese.

ASSUME that the time he drives only depends on the distance he covers,
and has nothing to do with his speed or how he drives.

The race rules say he has to cover at least 50 km,
so the minimum time he can drive is the solution to
[ 50 = 3t + 47 ]
Subtract 47 from each side:
3 = 3t
Divide each side by 3 :
1 = t minimum

He has fuel for exactly 53 km, so the maximum time
he can drive is the solution to
[ 53 = 3t + 47 ]
Subtract 47 from each side :
6 = 3t
Divide each side by 3 :
2 = tmaximum