To own and operate a home printer, it costs $100 for the printer and an additional $0.05 per page for ink. To print out pages at an office store, it costs $0.25 per page. Let p represent number of pages.

(1) For the costs to be the same, how many pages do you need to print?
(2) How much does it cost to print that many pages?

Answers

Answer 1

Answer:

1.) 500 pages

2.) $125

Step-by-step explanation:

Given that the printer cost $100. To operate at home will cost

100 + 0.05P

To print out pages at an office store, it will cost 0.25P

1.) For the costs to be the same, then

100 + 0.05P = 0.25P

0.25P - 0.05P = 100

0.20P = 100

P = 100/0.2

P = 500 pages

500 pages need to be printed

2.) How much does it cost to print that many pages?

Cost = 0.25P

= 0.25 × 500

= 125 dollars

Answer 2

Answer: (1) You would need to print 500 pages

(2) To print 500 pages from home would cost $125

Step-by-step explanation: The cost of printing at home has been given as a fixed cost of 100 plus an additional variable cost of 0.05 per page for ink, that is, Cost = 100 + 0.05p. Also, to print at the office, the cost has been given as 0.25 per page, that is, Cost = 0.25p.

Therefore for the costs to be the same, we need to equate both cost functions (that is, C = C) as follows;

100 + 0.05p = 0.25p

Collect like terms and we now have,

100 = 0.25p - 0.05p

100 = 0.20p

Divide both sides of the equation by 0.2

500 = p

To print 500 pages at home therefore would cost,

C = 100 + 0.05p

C = 100 + 0.05(500)

C = 100 + 25

C = 125

Therefore to print 500 pages from home would cost $125


Related Questions

Find the surface area of a sphere with radius of 1.5 and slant height of 6.​

Answers

Answer:

about 28.27

Step-by-step explanation:

A=4πr2

this is 23 points please help me or i’m gonna fail

Answers

Answer:

A

Step-by-step explanation:

Given that the measurement is in centimeters, find the circumference of the circle to the nearest tenth. (Use 3.14 for π)
A) 15.7 cm
B) 31.4 cm
C) 62.8 cm
D) 78.5 cm

Answers

Answer:

Step-by-step explanation:

The formula for the circumference of a circle of radius r is C = 2πr.  That for a circle of diameter d is C = πd.  

If we assume that the measurements below are of radius, not diameter, then in A, 15.7 cm = 2(3.14)(r), so that r must be 2.5 cm.

Please be sure to share ALL of the instructions for each problem.

Circumference of the circle is 31.4 cm

Given that;

Value of π = 3.14

Assume;

Radius of circle = 5 cm (Approx.)

Computation:

Circumference of the circle = 2πr

Circumference of the circle = 2(3.14)(5)

Circumference of the circle = (10)(3.14)

Circumference of the circle = 31.4 cm

So, option "B" is the correct answer to the following question.

Learn more:

https://brainly.com/question/15957685?referrer=searchResults

If f(x)=3x-9, what is the value of f(-8)

Answers

1/3x Put the -8 in the place of the f(x) the subtract 9 you´re left with 1 then divde by 3x  and you're left with 1/3x

Justin is skeet shooting. The height of the skeet is modeled by the equation h= -5t^2 +32t + 2, where h represents the height in meters and t seconds after the skeet is released. The path of Justin's bullet is modeled by the equation h= 31.5t + 1, with the same units. How long will it take for the bullet to hit the skeet? How high off the ground will the skeet be?

Answers

Final answer:

By solving the system of equations representing the paths of the bullet and the skeet, we find that the bullet will reach the skeet 3.79 seconds after the skeet's release, at a height of approximately 120 meters.

Explanation:

This problem involves solving systems of equations to determine the interaction between a projectile and target, something commonly addressed in physics as well as in mathematics. The solution involves equalizing the equations[tex](h = -5t^2 +32t + 2)[/tex] modeling the height of the skeet and (h = 31.5t + 1) the path of Justin's bullet. By solving this system of equations we find two potential times, t = 3.79 s and t = 0.54 s.

Since we can reason the skeet won't get hit before it is released, disregard t = 0.54 s. Therefore, the bullet will hit the skeet 3.79 seconds after the skeet is released. This is the time it takes for the bullet to reach the skeet. To find the height at which the bullet hits the skeet, substitute t = 3.79 into either of the two original equations (both should work). Using h = 31.5t + 1, for instance, yields approximately h = 120 meters.

So, the bullet hits the skeet 3.79 seconds after the skeet is released, at a height of about 120 meters from the ground.

Learn more about Projectile motion here:

https://brainly.com/question/29545516

#SPJ3

Consider the right triangle. A right triangles with side lengths 28 meters and 45 meters. The hypotenuse is unknown. What is the length of the hypotenuse StartRoot 53 EndRoot StartRoot 1,241 EndRoot 53 m 2809 m

Answers

Answer:

The answer is 53 or Square Root (sqrt) of 2809

Step-by-step explanation:

a^2+b^2=c^2

28^2+45^2=c^2

784+2025=c^2

c^2=sqrt 2809

c = 53

The hypotenuse of the right triangle is h = 53 m

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , the measure of base of triangle BC = 45 m

The height of the triangle AB = 28 m

And , For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

On simplifying , we get

AC² = AB² + BC²

AC² = 28² + 45²

AC² = 784 + 2025

AC² = 2809

Taking square roots on both sides , we get

The measure of hypotenuse AC = √2809 = 53 m

Hence , the measure of hypotenuse is 53 m

To learn more about triangles click :

https://brainly.com/question/16739377

#SPJ6

On her MP3 player, Stephanie has 36 songs shorter than three minutes and 72 songs longer than three minutes. What is the probabilty the next song will be longer than three minutes?

Answers

Step-by-step explanation:

Total songs = 36 + 72 = 108

[tex]required \: probability = \frac{72}{108} \\ \hspace{100 pt} = \frac{2}{3} \\ [/tex]

Hence, probabilty that next song will be longer than three minutes is [tex] \frac{2}{3}[/tex]

Final answer:

The probability  that the next song will be longer than three minutes is 2/3 or 66.67%.

Explanation:

The question concerns calculating the probability of selecting a song longer than three minutes from Stephanie's MP3 player. Stephanie has 36 songs shorter than three minutes and 72 songs longer than three minutes.

To find the probability that the next song will be longer than three minutes, we add the total number of short and long songs to get the total number of songs. The total is 36 + 72 = 108 songs. Since probability is the number of favorable outcomes divided by the total number of outcomes, the probability of selecting a song longer than three minutes is 72 (favorable outcomes) divided by 108 (total outcomes).

This calculation gives us 2/3 or approximately 0.6667, meaning there is a 66.67% chance the next song will be longer than three minutes.

PLEASE HELP TUME LIMIT IS 10 MINUTES

Answers

Answer:

similar and congruent

Step-by-step explanation:

those are the only words i know

Answer:

congruent and similar

Step-by-step explanation:

The Johnson family is moving and they need a truck with at least 55 cubic meters of space. The moving trucks they have to choose from are shown in the table below. Which is the smallest truck they can use?
PLEASE I WILL MARK AS BRAINLIEST!

Answers

Answer:

Medium

Step-by-step explanation:

Cause that what it is.

So what you have to do is find the area of each truck and find the one that is only a little bit higher than 55 or exactly 55. In this case, that should be the large truck, because the medium truck is too small (approx. 40 cubic meters)

Help me! Write an equation to describe the relationship in each table. Check out the attachment to see the tables!

Answers

Let’s look at the first table. Set up the rule: y=kx You want to replace the variables with the numbers in the chart. Let’s do 11=k21. Since y is smaller than x we would most likely use a fraction or decimal. Now what we want to do is divide 11 by 21. This should give you the result of 0.5238095238 or ≈0.52 so the rule is y=0.52x.

Now let’s look at the second chart. Let’s do 1=k4. Same thing, divide 1 by 4 which will give you the result of 0.25. The rule of this table is y=0.25x.

These equations capture the linear relationships observed in the tables, allowing you to predict the value of y for any given value of x within these patterns.

In Table 1, you can observe that as the value of x decreases by 1, the value of y also decreases by 1. This suggests a linear relationship between x and y, where y is a function of x. The equation that describes this relationship is:

[tex]\[ y = x - 10 \][/tex]

In Table 2, there is a similar linear relationship between x and y. As x decreases, y also decreases, and the change in y is consistent. The equation for this relationship is:

[tex]\[ y = \frac{x}{4} + 5 \][/tex]

In both equations, the slope is -1 in the first table and 1/4 in the second table, indicating that for each unit change in x, there is a corresponding change in y. The y-intercepts in these equations are -10 and 5, respectively, representing the values of y when x is 0.

These equations capture the linear relationships observed in the tables, allowing you to predict the value of y for any given value of x within these patterns.

For more questions on linear relationships, click on:

https://brainly.com/question/30373083

#SPJ2

The probable question may be:

Write an equation to describe the relationship in each table. Table 1: x= 25, 24, 23, 22, 21. y= 15, 14, 13, 12, 11. Table 2: x= 36, 28, 16, 12, 4. y= 9, 7, 4, 3, 1.

What type of object is pictured below?

Answers

Answer:

ray

Step-by-step explanation:

Answer:

C, a ray

Step-by-step explanation




If each cube has edges 1.5 centimeters long, what is the volume of the prism outlined in blue?

A) 9 cm3

B) 15.5 cm3

C) 81 cm3

D) 91.125 cm3

Answers

Answer:

The answer is D) 91.125 cm3

Step-by-step explanation:

One of the parks mounds is 63 feet in height. If the top of the mound is rectangular in shape with a perimeter of 322 yards, what could be the side lengths of the rectangle?

Answers

Answer:

see the explanation

Step-by-step explanation:

we know that

The perimeter of rectangle is given by the formula

[tex]P=2(L+W)[/tex]

where

L is the length

W is the width

In this problem we have

[tex]P=322\ yd[/tex]

substitute

[tex]322=2(L+W)[/tex]

simplify

[tex]L+W=161\ yd[/tex]

so

The side lengths of the rectangle could be any pair of values whose sum must equal 161 yards

see the attached figure to better understand the problem

With the given height approximate the length of the rectangle

[tex]L=144\ ft[/tex]

Convert to yards

[tex]1\ yd=3\ ft[/tex]

so

[tex]144\ ft=144/3=48\ yd[/tex]

Find the width

[tex]48+W=161\\W=161-48\\W=113\ yd[/tex]

therefore

The side lengths of the rectangle could be 48 yd by 113 yd

Ten students on student council are running for president, vice president, and
secretary. How many different permutations are there for the 3 positions?

Answers

Answer:

Step-by-step explanation:Using the word "HAPPY" (let's distinguish the P's as P1 and P2). ... The first person is the president , the 2nd is the Vice President and the 3rd is the Secretary so it ... Q-Four different items have to be placed in three different boxes.

Final answer:

There are 720 different permutations for filling the three positions (president, vice president, and secretary) among ten students on the student council.

Explanation:

The question asks for the number of different permutations there are for three positions (president, vice president, and secretary) among ten students on the student council.

This is a classic permutation problem in which order matters.

To calculate this, we can use the formula for permutations of 'n' items taken 'r' at a time, which is denoted as nPr and calculated as

n! / (n-r)!

where

'!' denotes factorial.

For this case, with ten students (n=10), and selecting three positions (r=3), the calculation would be:

10! / (10-3)! = 10! / 7! = 10 x 9 x 8 = 720.

Therefore, there are 720 different permutations available for the three positions on the student council.

Jason got 16 hits in his baseball tournament. Two of his hits were home runs, ten were ground balls and the rest were line drives. If Jason's mom only got to see one game during the tournament, what was the probability that she saw Jason hit a line drive?

Answers

Answer:

1/16

Step-by-step explanation:

What is the following quotient? StartFraction StartRoot 120 EndRoot Over StartRoot 30 EndRoot EndFraction 2 4 2 StartRoot 10 EndRoot 3 StartRoot 10 EndRoot

Answers

√120 / √30 = √(120/30) = √4 = 2

Answer:

A

Step-by-step explanation:

It's A I got it right on Edge

Ten cards numbered 1 through 10 are mixed together and then one card is drawn. Find the probability of each event. Write the answer in percent.
P(greater than 3)=
P(not 5, 6,7,or 8)=

Answers

Answer

probability of greater than 3 is 60%

not 5,6,7 or 8 is 60%

Answer:7/10

Step-by-step explanation: multiple of 4 is: 1,2,4. So that's 3 number which would leave you with 7 more which is 70% and 7/10 as a fraction

15. A scale drawing of a rectangular field has a length of 4.5 inches and a width of
3 inches. If the scale is 0.5 inch : 10 feet, what is the actual width of the field?
A. 6 feet
B. 15 feet
C. 30 feet
D. 60 feet​

Answers

3/0.5 = 6
6 x 10 = 60
D

Can anybody help? Exponential Functions

Answers

................................................................................................

The area of a square garden is 36 square feet. What is the side length of the garden

Answers

Answer:

6

Step-by-step explanation:

because 6 times 6 =36 so the answer is 6

Answer:

6 ft

Step-by-step explanation:

We know that side * side equals area, and that squares have all sides the same length. So therefore, A = [tex]s^{2}[/tex].

If we know the area, then we can do [tex]\sqrt{36}[/tex] which equals 6

Given: f(x) = 3 - X; g(x) = -2x
Find g[f(x)]

Answers

Answer:

g[f(x)] = -2(3 - x) = -6 + 2x

Step-by-step explanation:

When we substitute the function f(x) for x in g(x) = -2x, we get the composition g[f(x)]:

g[f(x)] = -2(3 - x) = -6 + 2x

Final answer:

To find g[f(x)], we substitute (3 - x) from f(x) into g(x). The solution to g[f(x)] is -6 + 2x.

Explanation:

The question asks us to find the composition of the functions f(x) and g(x), specifically g[f(x)]. To do this, we first evaluate f(x) and then use that result as the input for g(x).

Given that f(x) = 3 - x, we substitute x in g(x) for the entire function f(x).

g(f(x)) = g(3 - x) since g(x) = -2x.

Now we replace the x in g(x) with (3 - x): g(3 - x) = -2(3 - x).

This simplifies to g(f(x)) = -6 + 2x.

The composition g[f(x)] is therefore -6 + 2x.

Britney can buy daffodil bulbs in packages of 3 for $3.33 or in packages of 2 for $2.68. How much money does she save by buying 12 bulbs at the better price?

WILL GIVE BRAINLIST!!!!! :))

Answers

Answer:

The better but is 3 for $3.33

12 for $13.32

Step-by-step explanation:

3.33/3 = 1.11

2.68/2 = 1.34

The better buy is 3 for $3.33

1.11 x 12 = 13.32

1.34 x 12 = 16.08

A museum groundskeeper is creating a semicircular statuary garden with a diameter of 23 feet. There will

be a fence around the garden. The fencing costs $7.50 per linear foot. About how much will the fencing

cost altogether? Round to the nearest hundredth. Use 3.14 for pi

Answers

Answer: $443.32

Step-by-step explanation:

Hi, to answer this question we have to calculate perimeter of a semicircle:

P = π (d/2) + d

Where d is the diameter

Replacing with the values given:

P = 3.14 (23/2) + 23 = 59.11 feet  

Since each linear foot cost $7.50, we have to multiply that cost by the perimeter.

59.11 x 7.50 = $443.32

Feel free to ask for more if needed or if you did not understand something.

Consider the possible solution to each inequality. Choose Yes or No for
each question
a. Is 8.3 a solution of 73.8 S 9x?
Yes No
b. Is 6.5 a solution of 12x < 78?
Yes No
c. Is -7 a solution of 9x > 45?
Yes No
d. Is 17 a solution of 15 - X2-2? o Yes No
e. Is 6 a solution of x + 12 > 18?
Yes No

Answers

The answer is below!

Q: Consider the possible solution to each inequality. Choose Yes or No for

each question

a. Is 8.3 a solution of 73.8 S 9x?

b. Is 6.5 a solution of 12x < 78?

c. Is -7 a solution of 9x > 45?

d. Is 17 a solution of 15 - X2-2?

e. Is 6 a solution of x + 12 > 18

Answer :

No

No

Yes

No

No

10. A circle has an arc with measure 80° and length 887. What is the
diameter of the circle?

Answers

The diameter of the whole circle is 2*pi*radius . The arc length is then 80/360*pi*radius*=88*pi
radius=88*180/80
=44*180/40
=22*180/20
=11*180/10
=11*18
=(10+1)*18
=198
The diameter is 2*198=(200-2)=400-4=396

SO BASICALLY THE ANSWER IS 396


JK Fitness Center offers two membership plans. The tables represent the monthly cost, in dollars, of each membership plan based on the
number of visits to the fitness center.
PART A: At a certain number of visits, both plans will cost the same. At that number, how much will both plans cost, in dollars?

PART B: Which plan is more expensive at the 10th visit?
Write the number of the plan in the box.

Answers

Step-by-step explanation:

From the looks of it, Plan A is 25 + 2x and plan B is 40 + x.

Part A:

25 + 2x = 40 + x

x  = 15

plug in any: 40 + 15 = $55

Part B:

Plan A = $45

Plan B = $50

Plan B is $5 more expensive.

After 15 number of visits, both plans cost $55 and at the 10th visit, plan 2 is more expensive than plan 1.

What is Arithmetic Sequence?

Arithmetic sequence is a sequence of numbers where the numbers are arranged ion a definite order such that the difference of two consecutive numbers is a constant. This constant of difference is called common difference which is commonly denoted by the letter 'd'.

Part A :

From the table, we can clearly express both plans as Arithmetic sequence.

Plan 1 : First term, a = 27 and common difference, d = 2

Plan 2 : First term, a = 41 and common difference, d = 1

Let n be the number of visits that both plans costs the same.

27 + 2(n - 1) = 41 + (n - 1)

27 + 2n - 2 = 41 + n - 1

2n + 25 = n + 40

n =  15

Cost = 41 + (15 - 1) = $55

Part B :

We have to find the 10th term.

For plan 1 :

Cost at 10th visit = 27 + 2(10 - 1) = $45

For plan 2 :

Cost at 10th visit = 41 + (10 - 1) = $50

The plan 2 is more expensive at the 10th visit.

Hence at the 10th visit, plan 2 is more expensive.

Learn more about Arithmetic Sequence here :

https://brainly.com/question/10396151

#SPJ3

when Quinn got home he turned the air conditioner on. T represents the temperature in Quinn's home (in degrees celsius) after t minutes. T=42-0.7t how fast did the temperature drop ??​

Answers

Answer:

0.7 per minute

Step-by-step explanation:

0.7 in the equation represents how much the tempeture was dropping per minute.

Answer:

Step-by-step explanation:

T=42-0.7T

T=42-0.7(0)

T=42-0

T=42

What type of lines are layered directly on top of each other?

Answers

Parallel lines
Explanation:

Carl’s square swimming pool has a volume of 1000 cubed feet. What are dimensions of his pool?

Answers

Answer: the answer is down bellow

Step-by-step explanation:

x3-10oo Dimensions ft each S.

Final answer:

The dimensions of Carl's square swimming pool, given that its volume is 1000 cubic feet, are approximately 10 feet by 10 feet by 10 feet.

Explanation:

Carl's swimming pool is a cube since all sides are equal. The volume of a cube is calculated by cubing one side (s^3). In this case, knowing that the volume is 1000 cubed feet, we can find the side length by taking the cube root of the volume. The cube root of 1000 is approximately 10 feet. Hence, the dimensions of Carl's swimming pool are 10 feet by 10 feet by 10 feet.

Learn more about Volume of a cube here:

https://brainly.com/question/3004837

#SPJ2

A middle school has 6th, 7th, and 8th-grade students. Which of the following would be a random sample of the students
A.) Surveying all of the teachers
B.) Surveying the students who buy their lunch in the cafeteria
C.) Surveying everyone whose last name begins with a G
D.) Surveying every 10th student who is on the class rosters

Answers

the answer would probably be d.

Answer:

c

Step-by-step explanation:

because you wount have a good esstimite you would only have the kids that start with G please mark as brainliest

Other Questions
The trinomial x2+bx-c has factors of (x+m)(x-n) where m,n, and b are positive. What is the relationship between the values of m and n? Explain Complete the table below. Tell whether the angles are adjacent or vertical. Then find the value of x. 6. In the 1970s, civil rights leaders began to focus on securing for AfricanAmericans access to good jobs andA. integrated neighborhoods B. Adequate schoolsC. Discrimination D. voting rights Determine the compound interest earned on $200 invested at 3.25% compound annually for 6 years NEED HELP ASAP PLZ which of the following are rational numbers select three that applySquare root 3 Square root 9Square root 5Square root 4Square root 8Square root 1 After successfully waging a guerilla war to depose Cuban dictator Fulgencio Batista and taking powerhimself in 1959, Fidel Castro's relationship with the United StatesChoose 1 answer:warmed slowly; although Castro initially took a strong anti-American stance, he gradually builtties with the United Statesdeveloped into a strong partnership to prevent the spread of communism in Latin Americasoured very quickly, as Castro increased his anti-US rhetoric and refused to hold electionsReport a problem Please help! With any show work please Ill mark more points Read the passages from " In Just" and " July". In at least one full paragraph, compare the authors' use of word choice. Use evidence from the poems to support your answer. ( Need Help ASAP). How can models and equation help me subtract like fractions? A student dissolves 11.1 g of potassium hydroxide (KOH) in 250. g of water in a well-insulated open cup. He then observes the temperature of the water rise from 23.0 C to 34.0 C over the course of 4.6 minutes. Use this data, and any information you need from the ALEKS Data resource, to answer the questions below about this reaction: KOH(s) K (aq) + OH (aq) You can make any reasonable assumptions about the physical properties of the solution. Be sure answers you calculate using measured data are rounded to the correct number of significant digits. Note for advanced students: it's possible the student did not do the experiment carefully, and the values you calculate may not be the same as the known and published values for this reaction. Is this reaction exothermic, endothermic, or neither? A bar of steel has the minimum properties Se = 40 kpsi, S = 60 kpsi, and S-80 kpsi. The bar is subjected to a steady torsional stress of 15 kpsi and an alternating bending stress of 25 kpsi Find the factor of safety guarding against a static failure, and either the factor of safety guard- ing against a fatigue failure or the expected life of the part. For the fatigue analysis use: (a) Modified Goodman criterion. (b) Gerber criterion. (C) ASME-elliptic criterion. A class of22 studentsis having a drawing.Each student's name is placed on a piece of paper and then placed in a hat.One name is randomly drawn from the hat.If there are11 boysin the class, what is the probability that the name drawn is a girl's?A.5/11B.6/11C.1/2D.10/11 Find the mean of 8, 7, 9 graphically.What is the sum of the numbers? it took a skydiver 15 to drop 450. What is the rate (in feet per/ seconds) of the skydivers drop? Explain why, during the Presidential election of 1860, none of the southern states voted for President Lincoln. pls help meeeeee A solution is to be prepared with a sodium ion concentration of 0.513 mol/L. What mass of sodium sulfate (g) is needed to prepare 1.98 liters of such a solution? Do not enter units with your answer. A cylindrical can without a top is made to contain 25 3 cm of liquid. What are the dimensions of the can that will minimize the cost to make the can if the metal for the sides will cost $1.25 per 2 cm and the metal for the bottom will cost $2.00 per 2 cm ? Select the correct pronoun of a preposition for the blank.A ____ les gusta tocar la guitarra.mnosotroslellos A pool table is 8 feet long and 4 feet wide. How far is it from one corner pocket to the diagonally opposite corner pocket?