Sarah is the president of the drama club and wants to publish a newspaper. Expenses are $.90 for printing and mailing each copy, plus $600 total for research and writing. The price of the newsletter is $1.50 per copy. How many copies of the newsletter must the club sell to break even?. . a. To break even, the drama club must sell 1000 copies. . b. To break even, the drama club must sell 100 copies. . c. To break even, the drama club must sell 250 copies. . d. To break even, the drama club must sell 444 copies. .

Answers

Answer 1
Answer: Let: x = number of copies sold

We can formulate the following equation to solve for x:

1.50x - 0.9x - 600 = 0

x = 1000

Therefore, the club must sell 1000 copies to break even. Among the choices, the correct answer is A. 

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What is the answer to this ?????? 4/5 - 1/2=?????

Answers

Hello,this is your answer.

Form a sequence that has two arithmetic means between -1 and 59. a. -1, 29, 29, 59
b. -1, 19, 39, 59
c. 19, -1, 59, 39
d. -1, 14, 29, 44, 59

Please select the best answer from the choices provided


a) A
b) B
c) C
d) D

Answers

Answer:

Correct choice is B

Step-by-step explanation:

For the numbers -1 and 59, find the difference 59-(-1):

since 59-(-1)=60 and (60)/(3)=20 (two arithmetic means tells you there will be three intervals), two arithmetic means will be

  • -1+20=19;
  • 19+20=39.

The only correct sequence is -1, 19, 39, 59.

Answer:

b.

-1, 19, 39, 59

Step-by-step explanation:

Express the fractions 3/4 7/16 and 5/8 with the LCD

Answers

LCD means Least Common Denominator. To find the LCD of 3/4, 7/16, & 5/8, we will first get the multiple of each denominator until we get the same multiple of the three denominator
Multiple of
     i. 4 are 4, 8, 12, 16
     ii. 16 are 16
     iii. 8 are 8, 16

16 is the multiple of 4, 16 and 8. So we will use it now as the LCD of the three given fractions.
We can now express the given fractions with the LCD
     3/4 = 12/16
     7/16 = 7/16
       5/8 = 10/16

A^2 - 49 solve the equation by factoring

Answers

Answer:

7.

Step-by-step explanation:

To solve the equation a^2 - 49 by factoring, we can use the difference of squares formula. The difference of squares formula states that a^2 - b^2 can be factored as (a + b)(a - b).

In this case, a^2 - 49 can be rewritten as (a + 7)(a - 7).

By setting each factor equal to zero, we can solve for a:

a + 7 = 0

a = -7

a - 7 = 0

a = 7

Therefore, the solutions to the equation a^2 - 49 = 0 are a = -7 and a = 7.

Answer:(A+7)(A−7)

Step-by-step explanation:

Since both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b) where a=A and b=7.

Suppose a spring with spring constant 7 N/m is horizontal and has one end attached to a wall and the other end attached to a 3kg mass. Suppose that the friction of the mass with the floor (i.e., the damping constant) is 3 N.s/m, and the forcing function is F(t) = 9sin (3t).

Answers

3x''+3x'+7x = 9sin 3t - to begin
then  
Use the method of undetermined coefficientsxp=Asin(3t)+Bcos(3t).
Then  you need to find x′p and x′′p and sub them into equation, that will help you to solve A and B.
xp=Asin(3t)+Bcos(3t) x'p=3Acos(3t)−3Bsin(3t) x''p=−9Asin(3t)−9Bcos(3t)
And finally you will have this :
3x′′+3x′+7x=9sin(3t)[−27Asin(3t)−27Bcos(3t)]+[9Acos(3t)−9Bsin(3t)]+[7Asin(3t)+7Bcos(3t)]=9sin(3t)(−20A+9B)sin(3t)+(−20B+9A)cos(3t)=9sin(3t)

What is the probability that a five-card poker hand contains the two of diamonds and the three of spades?(Note: Enter the value in decimal format and report it to four decimal places.)

Answers

The total probability is 52 choose 5, which is 2598960
Then we multiply the combinations of two diamonds and 3 spades, which is 13 choose 2 times 13 choose 3. That is 22308.
Then we divide to get the decimal. 22308/2598960 is 0.00858343337