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scoundrel [369]
3 years ago
13

50 POINTS!! PLEASE ASAP. The director of a local ballet company needs to print the programs for the next performance. Janet’s Pr

int Shop charges $0.25 per program plus a $35 set-up fee. The Printing Press charges $0.15 per program plus a $50 set-up fee.
​Find the number of programs for which the total costs are the same. Explain how you determined the number of programs.
Mathematics
2 answers:
Maru [420]3 years ago
5 0

For this case we find the expression that represents the cost of each printing press.

x: Be the variable that represents the number of programs to print

So:

Cost 1: Janet’s Print Shop

C (x) = 0.25x + 35

Cost 2: The Printing Press

C (x) = 0.15x + 50

If we want to find the number of programs for which the costs are the same, then we equate both equations:

0.25x + 35 = 0.15x + 50\\0.25x-0.15x = 50-35\\0.1x = 15\\x = \frac {15} {0.1}\\x = 150

Thus, for 150 programs the cost is the same.

Answer:

For 150 programs the cost is the same.

Sedbober [7]3 years ago
3 0

Answer:

The Answer For Part A:

The Company that offers the better deal is The Printing Press since if we do 0.15 * 200 + 50 = $80 versus Janet’s Print Shop that charges $85 in total as we can see by the problem 0.25 * 200 + 35 = $85

Step-by-step explanation:

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2 points
miskamm [114]

The x - intercept of 5x - 3y = 15 is (3, 0)

The y -intercept of 5x - 3y = 15 is (0, -5)

<h3><u>Solution:</u></h3>

Given equation is 5x - 3y = 15

<em><u>To find: x - intercept and y -intercept</u></em>

The x intercept is the point where the line crosses the x axis. At this point y = 0

The y intercept is the point where the line crosses the y axis. At this point x = 0.

<em><u>Finding x - intercept:</u></em>

To find the x intercept using the equation of the line, plug in 0 for the y variable and solve for x

So put y = 0 in given equation

5x - 3(0) = 15

5x = 15

x = 3

So the x - intercept is (3, 0)

<em><u>Finding y - intercept:</u></em>

To find the y intercept using the equation of the line, plug in 0 for the x variable and solve for y

So put x = 0 in given equation

5(0) - 3y = 15

-3y = 15

y = -5

So the y - intercept is (0, -5)

5 0
3 years ago
Which statement is NOT always true?
BartSMP [9]
B. The product of two irrational numbers if rational

Example: The square root of 2 times the square root of 3, is the square root of 6, which is still irrational. 
3 0
3 years ago
1- Find the value of the two numbers if their sum is 12 and their difference is 4. You must use an algebraic expression to solve
PilotLPTM [1.2K]
12-4=8 which means 12-8=4 which means now you have the difference of 4 and 8+4=12 which means now you have the sum of 12
3 0
2 years ago
Put the following equation of a line into slope-intercept form, simplifying all fractions. 3x + 6y = 42​
kodGreya [7K]
Y = 1/2 +7
Can u thank, rate and make me brainliest, have a good day
5 0
2 years ago
Read 2 more answers
A movie streaming website charges an initial fee of $80, plus $4 for each movie that is streamed. How many movies must be stream
pochemuha

Answer:

80 movies must be streamed.

Step-by-step explanation:

To find the average cost, you must divide the total cost by the number of movies watched.

When you watch 1 movie, you pay the initial fee of $80 plus a $4 purchase of the film.

The equation is shown as such:

average cost = (total cost)/(number of movies)

Your total cost can be represented as 4x + 80, while the number of movies is represented as x.

You want the average to equal 5, so your equation is shown as follows:

5 = (4x+80)/x

simplifying this, we get

5 = 4 + \frac{80}{x}

which can then be simplified to

1 = \frac{80}{x}

X = 80 movies.

4 0
3 years ago
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