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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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Example 3
chubhunter [2.5K]

Answer:

We conclude that

  • The angle ∠1 = x = 36°
  • The angle ∠2 = 4x = 4(36°) = 144°

Step-by-step explanation:

Given

<1 and <2 form a linear pair

m∠1 = 4m∠2

To determine

Find the measure of each of the two angles.

<u>Important Points about linear pair:</u>

  • We know that when two lines meet or intersect, we get a linear pair of angles.
  • Linear pairs are basically two adjacent angles that form a line.
  • The measure of two adjacent angles forming a straight line is 180, meaning they are supplementary.

As

<1 and <2 form a linear pair

m∠1 = 4m∠2

In other words, angle 1 is 4 times the measure of angle ∠2.

Let the angle ∠1 be = x

As the angle 1 is 4 times the measure of angle ∠2, so

The angle 2 will be = 4x

As <1 and <2 forms a linear pair, thus the measure of the sum of <1 and <2 will be 180°, so

x + 4x = 180

5x = 180

divide both sides by 5

\frac{5x}{5}\:=\:\frac{180}{5}

\:x=36^{\circ }

Thus, we conclude that

  • The angle ∠1 = x = 36°
  • The angle ∠2 = 4x = 4(36°) = 144°
4 0
3 years ago
Find the area of a trapezoid with bases of 15cm and 6 cm and a height of 1/5cm
NNADVOKAT [17]
Area = 0.5 x (a+b) x h

= 0.5 x (15cm + 6cm) x 1/5cm
= 0.1 x 21cm
=2.1cm^2  (2.1 centimeters squared)
8 0
3 years ago
Read 2 more answers
A line segment on a number line has its endpoints at -9 and 6. Find the coordinate of the midpoint of the segment.
Mama L [17]

Answer:

B -1.5

Step-by-step explanation:

please give brainliest if you can, have a good day<3 :)

6 0
3 years ago
Alan recorded the points he scored on the basketball court in ms2 school yard. What is the mean absolute deviation of his scores
Alecsey [184]

Answer:

The mean absolute deviation is: 7.44

Step-by-step explanation:

Given

Scores: 98, 78, 84, 75, 91

Required

The mean absolute deviation

First, calculate the mean

\bar x = \frac{\sum x}{n}

\bar x = \frac{98+78+84+75+91}{5}

\bar x = \frac{426}{5}

\bar x = 85.2

The mean absolute deviation (M) is:

M = \frac{1}{n}\sum|x - \bar x|

So, we have:

M = \frac{1}{5}(|98 - 85.2|+|78 - 85.2|+|84 - 85.2|+|75 - 85.2|+|91 - 85.2|)

M = \frac{1}{5}(|12.8|+|-7.2|+|-1.2|+|-10.2|+|5.8|)

Remove absolute brackets

M = \frac{1}{5}(12.8+7.2+1.2+10.2+5.8)

M = \frac{1}{5}*37.2

M = 7.44

8 0
3 years ago
So, I need help with this question and will mark brainliest.
Tcecarenko [31]

Answer:

this an example not the answer i don't know the answer

E is between D and F.

Given: E is between D and F

Prove: DE = DF − EF.

 Statements Reasons

1. E is between D and F Given

2. D, E, and F are collinear points, and E is on ¯DF Definition of between

3. DE + EF = DF Segment Addition Postulate

4. DE = DF − EF Subtraction property of equality

2. If →BD divides ∠ABC into two angles, ∠ABD and ∠DBC, then m∠ABC = m∠ABC - m∠DBC.

Step-by-step explanation:

3 0
3 years ago
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