The director of a local ballet company needs to print the programs for the next performance. Janet’s Print 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. Which printing company offers the better deal if 200 programs are printed? Explain your reasoning. ​Find the number of programs for which the total costs are the same. Explain how you determined the number of programs.

Answers

Answer 1

Answer:

Printing press

Step-by-step explanation:

Janet's print shop - 0.25*200=50+35=85

Printing press - 0.15*200=30+50=80


Related Questions

Which equation has no solution?
O
-3(x+5)= x - 15 - 2x
-3(x+5) = x - 15 - 4x
O c-3(x+5)= x − 10 - 4x
OD -3(x+5)= x −10+2x

Answers

Equation with option B and C has no solution.

What is equation?

When two expressions are connected with the equals sign, a formula known as an equation is created.

Main Body:

A) -3(x+5) = x-15 -2x

⇒ -3x -15 = x-15-2x

⇒ -3x = -x

⇒ -2x= 0

⇒ x = 0, this means it has a solution.

B) -3(x+5) = x- 15 -4x

⇒ -3x -15 = -3x -15

So this equation also has no solution.

as L.H.S cancels out R.H.S completely so this equation has no solution.

C) -3(x+5) = x-10 -4x

⇒ -3x -15 = -3x -10

⇒ -15 ≠ 10

hence the equation with no solution is option b and c.

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Abe jogs 1. 8 miles on monday, 1. 3 miles on tuesday, and 1. 2 miles on wednesday. If beth jogs twice as far as abe, how many miles does beth jog?.

Answers

Abe jogs 1. 8 miles on Monday, 1. 3 miles on Tuesday, and 1. 2 miles on Wednesday.

Beth will jog 8.6 miles, if she jogs twice as far as Abe.

The answer provided below has been developed in a clear step by step manner.

Step: 1

Given that,

Abe jogs 1.8 miles on Monday, 1.3 miles on Tuesday and 1.2 miles on Wednesday.

So,

Total miles jog by Abe =1.8+1.3+1.2

Step: 2

Adding, we get,

Total miles jog by Abe = 4.3 miles

To find :-

The number of miles Beth jogged.

Step: 3

Since Beth jogs twice as far as Abe, we have,

Number of miles Beth jog = 2×4.3 miles = 8.6 miles

Since Abe jog 4.3 miles in total, Beth will jog (2* 4.3) miles

Hence the answer is, Beth will jog 8.6 miles, if she jogs twice as far as Abe.

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consider . the function is a. continuous on . b. discontinuous but piecewise continuous on . c. neither. is exponentially bounded on ? ? does the laplace transform of exist (on some domain)?

Answers

The function f(x)=x³-e⁻⁷ˣ is continuous function. That is a continuous function is one whose graph is continuous throughout without any pauses or leaps.

Given that,

The function is f(x)=x³-e⁻⁷ˣ

We have to find the function f(t) is it continuation on 0≤t<8.

We know that,

Take the function f(x)=x³-e⁻⁷ˣ

What is continuous function?

As the name implies, a continuous function is one whose graph is continuous throughout without any pauses or leaps. To put it another way, we say that a function is continuous if we can draw the curve (graph) of the function without ever picking up the pencil.

Therefore, The function f(x)=x³-e⁻⁷ˣ is continuous function. That is a continuous function is one whose graph is continuous throughout without any pauses or leaps.

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Simplify: x+y+2x-y




PLEASE HELP!!!

Answers

[tex]\fbox{3x}[/tex]

Simplify:

[tex]x+y+2x+-y[/tex]

Combine Like Terms:

[tex](x+2x)+(y+-y)[/tex]

[tex]=3x[/tex]

Which expression is not equivalent to (5^2x)^3

Answers

Answer:

#3

Step-by-step explanation:

For this... you just multiply the exponents together to get 6x

   any of the others that do NOT have 6x as a product of exponents is not equiv    ..... so #3 is not equivalent  

Option 3 is not equivalent to the given expression.

What is an equivalent expression?

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

The given expression is (5²ˣ)³.

Now, (5⁶ˣ)

(5ˣ)⁶

(5²)³ˣ

Therefore, option 3 is not equivalent to the given expression.

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Calculate the measure of

Answers

The measure of ∠C using sine rule formula and as shown in the triangle is 39.8°.

SINE RULE FORMULA

The sine rule formula gives the ratio of the sides and angles of a triangle. The sine rule can be explained using the expression, a/sinA = b/sinB = c/sinC,

From the diagram, to calculate the measure of the ∠C, we use the sine rule formula.

b/sinB = c/SinC............ Equation 1

From the diagram,

Given:

b = 9c = 6B = 105°

Substitute these values into equation 1 and solve for angle C

9/sin105° = 6/sinCsinC = (sin105°×6)/9sinC = 0.64C = sin⁻¹(0.64)C = 39.8°

Hence, ∠C is 39.8°.

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Given the points (3,5),(2,4),(9,0) and (?,6). What could be replace the ? to create a function.

Answers

Any number apart from 3 can be used to replace the ? to create a function.

In a function, the inputs do not repeat that is the input in all cases should be unique in nature.

The inputs are assigned to exactly one output for each.

Three is one of the options to create a non function as three is already an input in the given function.

Replacing the ? with 3 would create the a function would be to replace it with any number but 3.

(3,5) (2, 4) (9, 0) (3,6)

Any number apart from 3 can be used to replace the ? to create a function.

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Twice the length (į) less three times the width (w)

Answers

Answer:

3w - 2j

Step-by-step explanation:

twice the length j less of three times the width

Martina spent a total of $60 at the grocery store. Of this amount, she spent $57 on fruit. What percentage of the total did she spend on fruit?

Answers

Answer:

95%

Step-by-step explanation:

The percentage is 95%

Explanation:

57: 60*100 =

(57*100): 60 =

5700: 60 = 95

Quiz scores
Data set: 5, 6, 6, 7, 7, 7, 8, 8, 8, 9, 10, 10, 10, 10, 11, 11, 13, 15, 15
Calculate the mean of the data set.
Calculate the range.
If you scored 7 on the quiz, how far did you deviate from the mean?
If you scored 15 on the quiz, how far did you deviate from the mean?

Answers

The mean of the data set is 9.26

The range is 10

The deviation when we scored 7 is 2.26 and when we scored 15 is 5.74.

Given, the quiz scores of a class.

Data set: 5, 6, 6, 7, 7, 7, 8, 8, 8, 9, 10, 10, 10, 10, 11, 11, 13, 15, 15

Mean = (Sum of all values)/(Total no. of values)

Mean = 176/19

Mean = 9.26

The range = 15 - 5 = 10

If I scored 7 on the quiz, then I will deviate (9.26 - 7) = 2.26

Similarly, If we scored 15 on the quiz, then I will deviate (9.26 - 15) = 5.74

Hence, the mean of the data set is 9.26

the range is 10

and the deviation when we scored 7 is 2.26 and when we scored 15 is 5.74.

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Jemmy throws the dice twice. What is the probability of getting 3 on the top for both dice?.

Answers

Assuming the dice are six-sided and fair:

A fair D6 only has one three among its six numbers. So, 1:6, or about 16.7%.

Ooh, two dice! Now there’s two threes among a total of twelve possibilities…but wait! Two over twelve is the same as one over six! So… 1:6, or about 16.7%.

Hope this helped!

Cheers =D

A bank account starts with a balance of £8000 and pays compound interest of 5% per year. Work out the balance of the account after 1 year and after 2 years.

Answers

The balance of the account after 1 year and after 2 years  16400 and 16820 is respectively.

A bank account starts with a balance, P = $8000

rate of interest = 5%

compound interest for 1 year is :

[tex]CI = P(1 + R/100)^n[/tex]

CI = 8000(1 + 5/100)

CI = 8000(1 + 1/20)

CI = 8000(21/20) = 8400

A = CI + P = 8000 + 8400 = 16400

compound interest for 1 year is :

[tex]CI = P(1 + R/100)^{2n}[/tex]

CI = 8000(1 + 5/100)^2

CI = 8000(1 + 1/20)^2

CI = 8000(21/20)^2 = 8820

A = CI + P = 8000 + 8820 = 16820

The balance of the account after 1 year and after 2 years  16400 and 16820 is respectively.

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Write an expression for the following situation: A man earns a $5000 dividend from an investment and distributes it equally amongst his children.

Answers

Since we don’t know how many children he has, we would put the variable x. Meaning that the 5000 would be split amongst x children, 5000/x


A doctor prescribes 250 milligrams of a therapeutic drug that decays by about 10% each hour. Write an exponential model representing the amount A in milligrams of the drug remaining in the
patient's system after t hours.
A(t)=
Use the formula to find the amount of the drug that would remain in the patient's system after 3 hours. Round to the nearest milligram.
mg

Answers

A(3) = 185mg

Formula for exponential growth/decay is

A(t) = A0 * e^(xt)

Where A0 is your initial amount

x is your percentage

t is the time

A(3) = 250 * e^(-0.1*3)

A(3) = 185.2mg

Key point x is negative in this case as it's a decaying function. If it was growth it would be positive

A line has a slope of 2 and passes through the point (–1, –6) . What is its equation in slope -intercept form?

Answers

Answer:

y - y = m(x - x)

y + 6 = 2(x + 1)

y + 6 = 2x + 2

y = 2x -4

Find the value of c to make the trinomial a perfect square.
x^2−22x+c

Answers

Answer:

c = 121

Step-by-step explanation:

Take half of the middle term coefficient: -22/2 = -11

Now square it: (-11)² = 121

c = 121

14) WINDOWS This window is designed in the shape of a right trapezoid If the acute angle measures 52", what is the measure of the obtuse angle? ​

Answers

The measure of the obtuse angle is 128 degrees

How to determine the measure of the obtuse angle?

From the question, we have the following statement that can be used in our computation:

Acute angle = 52  degrees

The measure of the obtuse angle is calculated as

Obtuse angle = 180 - Acute angle

Substitute the known values in the above equation So, we have the following equation

Obtuse angle = 180 - 52

Evaluate

Obtuse angle = 128

Hence, the angle is 128 degrees

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Kami received 2,300 votes in a town election. She received 190 more than 2/5 of the total number of votes. Determine the total number of residents that voted in the town election.

Answers

The total number of residents that voted in the town election is 5275 votes

Total number of votes received = 2300 votes

Consider the total number of votes in the town election = x

She received 190 more than 2/5 of the total number of votes

2/5 of the total number of votes = (2/5)x

190 more than 2/5 of the total number of votes = (2/5)x + 190

The equation will be

(2/5)x + 190 = 2300

Move 190 to the right hand side of the equation

(2/5)x = 2300 - 190

(2/5)x = 2110

0.4x = 2110

x = 2110 / 0.4

x = 5275 votes

Hence, the total number of residents that voted in the town election is 5275 votes

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What is the area of ABCD rhombus?.

Answers

As the amount of space a rhombus encloses in a two-dimensional space can be defined as its area, the ABCD rhombus's area is A = 12 d1 d2.

What precisely is a rhombus?

A particular type of rhombus is a parallelogram. In a rhombus, the opposing sides or angles are parallel as well as equal. A rhombus also has sides that are each the same length, and its diagonals come together at right angles to make its shape. A diamonds or rhombus is also referred to as a "rhombus."

How come ABCD is a rhombus?

The diagonal lines are parallel. A rhombus is what it is. The parallelogram is a rectangle, rhombus, and square since the diagonals are all congruent and perpendicular to one another. It is a rhombus, ABCD.

Rhombus Area Calculation Formulas

Diagonal Use, A = ½ x d1 x d2

A = b h using Base and Height

Trigonometry is used, A = b2 × Sin (a)

Where b = length of any side, h = height of rhombus, d1 = length of diagonal 1, d2 = length of diagonal 2, a = measure of any inner angle

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Harley davidson offers 3 different motorcycle models. Each of these is available in 6 different colors. How many different combinations of model and color are available? 9 12 18 24.

Answers

A different combination of models and colors available is 18.

Combination:

the act of combining or the state of being combined. a number of things combined: a combination of ideas. something formed by combining: A chord is a combination of notes. an alliance of persons or parties: a combination in restraint of trade.

Here it is given 6 different colors. Harley Davidson offers 3 different motorcycle models.

We have to find the number of different combinations of models and colors available.

Based on the above-given data we get the:

Different combination = 3 × 6

= 18

Therefore the number of combinations is 18.

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there are 8 members on a committee. if they must form a subcommittee of 3 members, how many different subcommittees are possible

Answers

Out of 8 members of the committee, it is possible to create two subcommittees only.

We know that in order to create subcommittees. we need to divide the total number of people on the committee into equal parts so that they form subcommittees.

Here, it is given that there are 8 members on the committee.

A subcommittee needs to have 3 people in it.

On dividing 8 people into groups of three, we get

[tex]\frac{8}{3}[/tex]

⇒ 2.66..

Here, it is obvious that the 0.66... can not be considered because it is not a whole number and hence, does not mean any number of people.

So, we can create only two different subcommittees from 8 members on the main committee.

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A bird is at the very top of a 35 feet tree. He spies a worm that is 50 feet from the base of the tree. Set up a right triangle picture to find the distance from the bird to the worm.​

Answers

You square 35 which gives you 35•35=1,225 then you square 50, 50•50=2,500 add them together 1,225+2,500=3,725 and find the square root of 3,725 which equals 61.0327781 or 61

The distance from the bird to the worm is approximately 61.06 feet.

To set up a right triangle picture to find the distance from the bird to the worm, we can use the given information about the bird's position and the worm's position.

Let's consider the bird at the top of the tree as the highest point of the triangle. The height of the tree, 35 feet, represents the vertical side of the triangle. The worm's position, which is 50 feet from the base of the tree, represents the horizontal side of the triangle.

Now, to find the distance from the bird to the worm, we need to find the hypotenuse of the right triangle, which represents the direct line from the bird to the worm.

By using the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides, we can set up the equation:

h² = 35² + 50²,

where h represents the length of the hypotenuse.

Solving this equation, we find:

h² = 1225 + 2500,

h² = 3725.

Taking the square root of both sides, we get:

h ≈ √3725 ≈ 61.06 feet.

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Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.

Answers

The required slope of the given line is 1 which is shown in the graph.

What is the slope of the line?

The slope of the line is represented as the rise of the line.

Slope m = (y₂ - y₁)/(x₂ -x₁  )

Grab two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)

We take the two points (4, 10) and (9, 22)

Let

x₁ = 0, y₁ = 1

x₂ = 8, y₂ = 9

∵ Slope m = (y₂ - y₁)/(x₂ -x₁  )

Substitute values in the formula

m = (9 - 1) / (8 - 0)

m = (8)/(8)

m = 1

Thus, the required slope of the given line is 1 which is shown in the graph.

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I NEED HELP ASAP RN

What fraction can not be simplified?

A. 9/15

B. 18/30

C. 8/12

D. 16/25

Answers

Answer: D. 16/25

Step-by-step explanation:

You usually buy the same small bottle of shampoo. There is a larger, 6. 7-ounce bottle that says it gives you 25% more free. What is the size in ounces of the original smaller bottle of shampoo? round your answer to the nearest tenth.

Answers

The original size of shampoo = 5.36 ounce

Calculating Percentages:

In mathematics, percentages are represented as fractions of 100 in the form of integers or ratios. In most cases, they are indicated by "60%" or 65 percentage and 60% can be expressed as (60/100). They can also be expressed as decimal fractions or simple fractions.  

Here are some examples to find percentages,

60% of 200 = (60/100) × 100

50% of n = (50/100) × n  

Here given that

There is a bottle of shampoo whose size is 6.7 ounces

It is given that the bottle says it gives 25 percent freer

Let's assume that the original bottle size is x ounce

As we know the bottle gives you a 25% extra

The free amount that can be given on x ounce = [tex]\frac{25}{100} x[/tex] = 0.25x

then the final size of the battle will be = x + 0.25x = 1.25x ounces

As we the bottle size = 6.7 ounces

=> 1.25x = 6.7      

=>  x = 6.7/1.25 = 5.36

=>  x = 5.36 ounce

Therefore,

The original size of shampoo = 5.36 ounce

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What is the area of a triangle with vertices at (-3, 1), (-6, 5), and (1, 1)?
Enter your answer in the box.

Answers

The area of a triangle is 8.

What is the area of a triangle?

Area of a triangle = [s(s - a)(s - b)(s - c)], where s is the triangle's semi-perimeter and a, b, and c are the lengths of the triangle's three sides.

We know that the area of the triangle whose vertices are (x1 ,y1),(x2 ,y2), and (x3, y3) is:

1/2 |x1(y2−y3)+x2(y3−y1)+x3 (y1−y2)|

Area of triangle = 1/2 |-3(5 − 1)+ (-6)(1−1) + 1(1 − 5)|

Area of triangle = 1/2 |-12 + (-4)|

Area of triangle = 8

Hence, the area of a triangle is 8.

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The price of an item yesterday was 125 . Today, the price rose to 175 . Find the percentage increase.

Answers

Answer: 40%

Step-by-step explanation:

100(175-125/125)

Simplify: 100(50/125)

Simplify: 100(0.4)=40

Can you guys help me ??

Answers

Answer:
(-1,2)

Explanation:

I need help answering the question…

Find expressions for the slope and x- and y- intercepts for Ax + By = C, where A, B, and C are nonzero integers.

First of all, I do not understand any word in that, so the answer and an explanation with get brainiest.

Answers

I gotchu :)

So, the base equation is: ax+by=c

x int is c/a

y int is c/b

and the slope is -a/b

So basically, what I wrote above is how to get each aspect of the line using the standard form formula.

The "nonzero" part means that each integer (the A, B, AND C in the formula above) cannot be 0, as that would mean that everything will end up equaling to 0, which does not create the line. So basically, the answer would be:

x int is c/a

y int is c/b

and the slope is -a/b

^ if you apply these to any standard form, you will get the thing I stated next to it. For example, if the standard form equation is:

5x+6y=5

if you want to find the slope, you will do -a/b, and that will give you -5/6, which is your slope

Hope this helps :)

a) Write an equation for a line in point-slope form that is parallel to the line y=2/3x-5 and passes through the point (3, 4).

b) Explain what would be different in part (a) if you were asked to write an equation for a line that is perpendicular instead of parallel.​

Answers

Answer:  a)  y - 4 = 2/3(x) - 2

b)  y - 4 = -3/2(x) -2

Step-by-step explanation:

equation of original line:  y = 2/3x -5

point on a line parallel to original line:  (3,4)

The slope of a line parallel to a given line has the same slope, so the equation of the parallel line (in point-slope form) is:

(y - y1) = 2/3(x - x1)

point (x1, y1) is (3, 4)

plug (3,4) into the equation:

y - 4 = 2/3(x - 3)

y - 4 = 2/3(x) - 2

rewrite in slope-intercept form:  y = 2/3(x) + 2

The slope of a line perpendicular to another line is the negative reciprocal of the slope of the first line:  - 1/m

Therefore, the slope of the perpendicular line = -3/2

Equation for the perpendicular line is:

y - 4 = -3/2(x) -2

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