The Lake Smith basketball team had a team picture taken of the players, the coaches, and the trophies from the season. The picture was 4 inches by 6 inches. The team decided to have the picture enlarged to a poster and then enlarged again to a banner measuring 48 inches by 72 inches.
If the scale factor from the picture to the poster is 500%, find the dimensions of the poster.
What scale factor, as a percent, is used to create the banner from the picture?
What percent of the area of the picture is the area of the poster?
Assume you started with the banner and wanted to reduce it to the size of the poster.
What would the scale factor as a percent be?

Answers

Answer 1

9514 1404 393

Answer:

poster dimensions: 20 inches by 30 inchesbanner/picture scale factor: 1200%poster/picture area ratio: 2500%poster/banner reduction ratio: 41.67%

Step-by-step explanation:

a) Poster dimensions are 500% of the picture dimensions:

  500% · 4 in = 500/100 · 4 in = 5 · 4 in = 20 in

  5 · 6 in = 30 in

The poster is 40 in by 30 in.

__

b) The ratio of banner sized to picture size can be found from the ratio of the smaller dimensions:

  48 in/(4 in) = 12 = 12 · 100% = 1200%

__

c) The poster/picture area ratio is the square of the scale factor:

  poster area/picture area = (500%)^2 = (500/100)^2 = 25

  = 25 · 100% = 2500%

__

d) The poster/banner reduction ratio is ...

  20 in/48 in = 5/12 ≈ 0.4167 = 0.4167 · 100% = 41.67%

_____

Additional comment

To convert a number or fraction to a percentage, multiply by 100%. To convert a percentage to a number, divide by 100%, or recognize that "%" means "/100". (As above, 500% = 500/100 = 5.)


Related Questions

Help asap on both! will mark brainliest show work also!!

Answers

Answer:

Question 1: 18 ft

Question 2: -$14

Step-by-step explanation:

Question 1: it is asking for per-minute so 90ft divided by 5min equals 18 ft.

Question 2: it is decreasing by -2 times 7 days equals -14.

A cylinder has a volume of 1884cm^3. Find the volume of a cone with the same radius and height as the cylinder

Answers

Answer:

628

Step-by-step explanation:

The volume V of a cylinder whose radius is r and height is h is given as

V = πr²h

The volume of a cone v of a radius r and height h is also given as

v = 1/3 πr²h

As such , given that the cylinder has a volume of 1,884 cm ³, the volume of a cone with the same radius and height as the cylinder

= 1/3 * 1,884 cm ³

= 628 cm ³

i think it is 628 so tell me if i’m correct :)

On the mall floor plan, 1/4 inch represents 3 feet in the actual store.

A. Find the actual area of Store 1 and Store 2
B. In the center of the atrium, there is a large circular water feature that has an area of (9/64) pi square inches on the drawing. Find the actual area in square feet

Answers

Answer:

unknown

Step-by-step explanation:

Hey! you need a ruler to do this question. There is no ruler in this image.

A truck whose bed is 2.5m long, 1.5m wide, and 1.0m high is delivering sand for a sand-sculpture competition. About how many trips must the truck make to deliver [tex]7m^{3}[/tex] of sand?

Answers

Answer:

68.6 Trips

Step-by-step explanation:

2.5m+1.5m+1.0=5

5m per trip

7m^3=343

divide the amount that can fit in each trip (5m)

by the amount of sand needed for the sculpture. (343m)

343 /5=68.6

I believe the answer is 68.9

Combine the like terms to create an equivalent expression: 2r+1+(-4r) +7

Answers

Answer:

6r

Step-by-step explanation:

Answer: -2r+8

Step-by-step explanation:

PLEASE HELP ASAP

you dont have to do all

Answers

Answer:2

Step-by-step explanation:Percentage Calculator: 12 is what percent of 600? = 2.

Answer:

1. On page 1 is = 2            2. On page 1 is = 8        3. On page 1 is = 7       4. On first page is = 90.2           5. = 54           6. = 16.5     7. = 1.19       8. = 121    9. =  288

Step-by-step explanation:

Google is the best UnU

What is the next term in the following sequence?
-3, 4, 11, 18,...

27
25
07
11

Answers

25. The pattern is adding 7

Answer:

25

Step-by-step explanation:

the pattern is by 7

-3+7 is 4

4+7 is 11

11+7 is 18

then 18+7 is 25

At a bus station, buses depart at a rate of 3 every 10 minutes. At this rate, how many buses would you expect to depart in one hour?

A. 6 B. 15 C. 18 D. 30

Answers

Answer:

Well, there are 60 min. in one hour, so 10*6=60. Then we have to multiply 3 by 10 as well. So the answer is D: 30 busses.

Answer: the answer is c.(18)

Step-by-step explanation:

If 3 depart every 10 minutes there are 60 minutes in an hour. So 3 buses times 6 10’s would = 6x3=18

Find a common multiple between 30 and 42 that is bigger than them.
(Note: I'm not finding the LCM I just need a multiple bigger than them)

Answers

Answer:

210

Step-by-step explanation:

GCF(30,42) = 6

LCM(30,42) = ( 30 × 42) / 6

LCM(30,42) = 1260 / 6

LCM(30,42) = 210

1260

1260 is a multiple of 30 and 42.
30(42)=1260,
multiplying both of these numbers means that the result will always be a common multiple.

John feeds three cows on his dairy farm the following daily diets:
Larry eats Three-fourths of a pound of hay.
Mo eats 1One-half pounds of hay.
Curly eats Four-sixths of a pound of hay.
Do Larry and Curly together eat more or less hay than Mo?

Larry and Curly eat
pounds of hay together.

The amount of hay Mo eats is
the amount that Larry and Curly eat combined.

( Don't answer just for the points) asking again bc 2 people answered but not with the answer

Answers

Answer: If Mo eats 1 1/2 pounds of hay, Larry and Curly together eat less.

Larry and Curly eat 17/12 or 1 5/12 pounds of hay together.

Mo eats more hay than Larry and Curly combined.

Step-by-step explanation: Add the fractions by finding the Least Common Denominator 3/4 = 9/12. 4/6 = 8/12.

9/12 +8/12 =17/12.

1 1/2 = 18/12

Answer:

1 1/2 = 18/12

Step-by-step explanation:

In Exercises 1–4, find each sum or difference.
start fraction 5 over 10 end fraction minus start fraction 3 over 10 end fraction
A. one-fifth
B. start fraction 8 over 10 end fraction
C. start fraction 42 over 5 end fraction
D. one-tenth

Answers

the answer is D, One-tenth

Answer:

a 1/5

Step-by-step explanation:

because if you do 5/10-3/10 you get 2/10

then you simplify by 2 which means you do 2 divided by 2 which

is 1 then you do 10 divided by 2 which is equal to 5 so your

answer is indeed 1/5

Which of the following pairs of base and height produces the greatest area? All measurements are in centimeters.

a) b = 4, h = 3.5

b) b = 0.8, h = 20

c) b = 6, h = 2.25

d) b = 10, h = 1.4

Answers

B because 20 and 0.8 are the biggest

The greatest area can be using the measurement b = 0.8, h = 20.

What is area?

The area is the region bounded by the shape of an object. The space covered by the figure or any two-dimensional geometric shape, in a plane, is the area of the shape.

For the greatest area we can use the measurement:

a) b = 4, h = 3.5

area= 4*3.5=14

b) b = 0.8, h = 20

area= 0.8*20 =16

c) b = 6, h = 2.25

area= 2.25*6 = 13.5

d) b = 10, h = 1.4

area= 10*1.4=14

whether we take area of any figure the greatest area can be possible using the measurement b = 0.8, h = 20..

Learn more about area here:

https://brainly.com/question/27683633

#SPJ2

A machine can enlarge a 6– inch by 4– inch regular photograph to any of the dimensions shown in the table below. Which equation represents the relationship between I, the length of the enlargement, and w, the width of the enlargement?

Answers

Answer:

c. w = 2/3l

Step-by-step explanation:

for a., none of the values fit so it can't be a.

for b., the second row fits but none of the others do so it can't be b.

for c., every single row fulfills the equation so the answer is c.

for d., the first row fits but none of the others do so it can't be d.

since there are only four choices it's fine to plug and test.

happy learning n hope this helped!

I think the answer is c

10n + 7 > n - 3 (5 - 3n)

plz

Answers

Are you trying to figure out the value of n?
So whats the question?

A construction worker has a rope that is 4 feet long.He needs to cut it into pieces that are each 2/3ft long.How many such pieces can he cut without having amy rope leftover?

Answers

Answer:

6

Step-by-step explanation:

4 / 2/3

Think of it like this.

4 / 2/3 (if this were in fraction form)

4 * 3/2 (Reciprocal)

12/2

6

The answer is 6.
We’re talking about fractions.

Evaluate each expression .

(-4)(5) + 8


-27 divided by 9 - 11

(-3)(-6)-7

Answers

1. -12

2. 13.5

3. 11

(-4)(5) + 8

Steps:

(−4)(5)+8

=−20+8

=−12

Final Answer: -12

-27 divided by 9 - 11

Answer: 14

(-3)(-6)-7

Steps: (−3)(−6)−7

=18−7

=11

Answer: 11

Hope this helps :)

Please help just tell if the answers are reasonable or not DONT find the real correct answer.

Answers

Answer:

annna

Step-by-step explanation:

YURRRRRRRRRRRRRRRRRRRRRRR

Use the figure and flowchart proof to answer the question: Which theorem accurately completes Reason A?

A. Alternate Interior Angles Theorem
B. Corresponding Angles Theorem
C. Alternate Exterior Angles Theorem
D. Same-Side Interior Angles Theorem

Answers

Answer:I believe that it would answer D) same side interior angles.

Same side interior angles or consecutive angle always add up to 180 degrees

A cannot be because the angles that the diagram is telling us are not alternate interior angles, alternate interior angles would be angle UQR and angle QRZ

B cannot be because they are not corresponding and also they are not Alternate Exterior angles. Which left us with D.

Hope this help!! :)))))

Step-by-step explanation:

⚠️Which ordered pair is the solution to this system of equations?⚠️

Answers

Answer: A

Step-by-step explanation: when you plug 3 into both equations you get 5

Answer:

A

Step-by-step explanation:

to make this simple, plug the x-coordinate of each answer choice into x in each of the equations and plug the y-coordinate of each answer choice into y in each of the equations. if BOTH equations come out to be true, this is the solution.

ex:

y=3x-4

y=x+2

plug in (3,5)

5=3(3)-4 is correct

5=3+2 is correct

so, (3,5) is the solution.

Solve for H: S=3πr^2+2πrh
Thank you

Answers

Answer:

(S-3piR^2)/2piR=H

Step-by-step explanation:

PPPPPLLLLLLEEEEEAAASSSSSEEE help answer this!!!!!!
will mark you as a brainlest.

Answers

Answer:

36 cm2

Step-by-step explanation:

Hello there!

To find the volume of a rectangle (or cube) we do length x width x height. 6 x 6x 6 is 216. So, we know that the length, width and height are all 6 cm.

To find the area, we do length times width. 6 x 6 = 36 cm 2 is your answer!

I hope I helped you out! Have an amazing rest of your day!

Answer:

216 cm

Step-by-step explanation:because it is the same size as the others and so it would be the same.!

The price of Stock A at 9 A.M. was ​$13.64. Since​ then, the price has been increasing at the rate of ​$0.06 each hour. At noon the price of Stock B was ​$14.39. It begins to decrease at the rate of ​$0.11 each hour. If the two rates​ continue, in how many hours will the prices of the two stocks be the​ same?

Answers

Answer: In about 3 hours and 21 minutes the prices of the two stocks will be the same at $14.02

Step-by-step explanation: We can begin by calculating the value of stock A at noon by adding $.06 per hour or 3 hours, $0.18 to its 9am price. $13.64 + 0.18 = 13.82

Then set up the equation to find the point where the prices are equal:

x is the amount of time in hours.

.06x + 13.82 = -.11x + 14.39    

Add .11x to both sides and subtract 13.82 from both sides

.06x + .11x = 14.39 - 13.82

.17x = 0.57

x = 3.353 hours

To get minutes instead of a decimal, multiply .353 × 60 ≈ 21 minutes

The time is 3:21

The increase in price is for stock A is about $0.20

13.82 + .0.06(3.353) = $14.02

Stock B decreased by $0.37

14.39 - 0.11(3.353) = $14.02

Using the distributive property, write two expressions equivalent to 35 + 28. (hint find the GCF of the numbers, then write expressions)

Answers

9514 1404 393

Answer:

7(5+4)7(9)

Step-by-step explanation:

The greatest common factor of the two numbers is 7, so we can factor that from the sum:

  35 +28 = 7(5 +4) = 7(9)

what is 4/9 divided by 5?

Answers

Answer:

it is 4/45

Step-by-step explanation:

i wrote down and did the work on a piece of paper

Answer:

4/45. . . . . . .

Complete the statement of the standard using the words from the word bank. *

Answers

1) axes 2) (0,0) 3) ordered pair 4) x-axis 5) distance
the first blank: axes
the second blank: (0,0)
the third blank: ordered pair
the fourth blank: X-axis
the fifth blank: Y-axis

Solve -10x = 30 *

1 point

pre algebra

Answers

Answer:

-3

Step-by-step explanation:

Please help me I suck at math

Answers

E=26 I hope I helped
e=16 i believe.......

Identify the terms of the expression. 3r^2+4r+8

Answers

Answer:

The terms

Step-by-step explanation:

The terms in this expression are coefficients, constants, variables, and exponents. 3 and 4 would be the coefficients. 8 would be the constant. r is the variable and 2 is the exponent.

Evaluation: Flight of the Albatross
An albatross is a large bird that can fly 400 kilometers in 8 hours at a constant speed. Using d for distance in kilometers and
t for number of hours, an equation that represents this situation is d = 50t.
1. What are two constants of proportionality for the relationship between distance in kilometers and number of hours?
What is the relationship between these two values?
2.
Write another equation that relates d and t in this context

Answers

Answer:

Step-by-step explanation:

400/8=50

400 divided by 8 equals 5

factorise
a³ - a² - 2a + 2

Answers

This is the answers. I hope this helps :)
a3-a2-2a+2
=a2(a-1)-2(a-1)
=(a-1)(a2-2)
Other Questions
which statement about force is incorrect?a. force causes changes in the motion and energy or matter.b. some forces cause objects around us to move.c. force is the ability to change motion and transfer matter.d. some forces keep objects around us from moving Kelly has the ability to respond to a stimulus, such as a starting pistol, quickly she is said to have a really fast what?Agility Reaction timeBalanceSpeed Reread paragraph 3 of "Digital Cameras." Which detail from the paragraphBEST explains why some pixels will be black and others will be white? Streams and rivers have lowconcentration Why do you think Sandra Aguebor had to work five times harder than the male mechanics in Nigeria? Please please help and it has to be 5 sentences 25 Points Please Help ASAP!! View Attached Image!! Will Mark Brainliest If All Are Answered!! How many different ways can you have 50 in change using only quarters, dimes and nickels? A. 1 B. 4 C. 10 D. 15 2. What is the rule for this input-output table? 3000- 375 simplify Identify art forms that are common in western and central Africa. Why are these art forms so important to cultures inthis region? A heroine is a woman who is admired or idealized for her courage and achievements. Is Dorothy the heroine in The Wonderful Wizard of Oz? In a five paragraph essay explain why or why not using examples from the text. Which three measurements could be the lengths of the sides of a triangle?A)25 feet, 30 feet, 60 feetB)40 feet, 60 feet, 70 feetC)40 feet, 175 feet, 220 feetD)80 feet, 150 feet, 230 feet What are the primary functions of body paragraphs in a comparative essay that focuses on genres? Select four options.to present the writer's arguments in a logical orderto provide evidence that supports the writer's ideasto analyze the texts, ideas, or objects being comparedto anticipate disagreement and provide counterargumentsto highlight similarities between the texts being discussedto point out differences between the texts being discussed If 12 cats can catch 6 rats in 2 hours, how many hours would it take 50 cats to catch 75 rats? A recent school survey found that 8 out of 11 students plan to go to college after graduating high school. At that rate, how many of the 1950 students at the local high school plan to go to college Which part of cell division is different in plant and animal cells?cytokinesisanaphasemitosiseukaryotic In a random sample of 26 people, the mean commute time to work was 34.8 minutes and the standard deviation was 7.3 minutes. Assume the population is normally distributed and use a t-distribution to construct a 98% confidence interval for the population mean mu. What is the margin of error of mu? Interpret the results. What additional information is needed to prove the triangles are congruent by ASA? Place solve ? I am truly confused 1. Name one way Renaissance art is different from Medieval art, give an example of a Renaissance Artist2. Why was Florence the center of the Renaissance? Describe how it grew and how this related to art.