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

Which literal equation is not equivalent to x equals two y plus z ?

x minus two times y equals z

x minus z equals two times y

y equals x minus z divided by two

x plus two y equals z

Answers

Answer:

x minus z equals two times y

Step-by-step explanation:

x minus z equals two times yx minus z equals two times yx minus z equals two times yx minus z equals two times yx minus z equals two times yx minus z equals two times yx minus z equals two times yx minus z equals two times yx minus z equals two times yx minus z equals two times yx minus z equals two times yx minus z equals two times yx minus z equals two times yx minus z equals two times yx minus z equals two times yx minus z equals two times yx minus z equals two times yx minus z equals two times yx minus z equals two times y

X minus z equal two times why



Hope this helped

Can somebody please help me with these two problems ASAP I’d highly appreciate it.

Answers

Answer: 7

Step-by-step explanation:

See attached picture

9-2x=35
Help Me please

Answers

Answer: x=24

Step-by-step explanation:

Answer: x= -13

Step-by-step explanation: 9-2x=35

subtract 9 from 35 = -2x=26 divide -2 from both sides getting x by itself

26 / -2 = -13 ( x= -13)

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.

The snowfall data for Resort A are close to symmetric when they are shown in a box plot. The snowfall data for Resort B are not symmetric when they are shown in a box plot. Why is a box plot a good method to compare the data?

Answers

Answer:

Box and whisker plots are ideal for comparing distributions because the centre, spread and overall range are immediately apparent

Step-by-step explanation:

It is often used in explanatory data analysis

hope this helped

Answer:

When comparing two sets of data, a box plot can show whether either set of data is symmetric. If the data are symmetric, then the mean equals the median. If the data are not symmetric, then the median will be a better measure of center than the mean.

Step-by-step explanation:

surface area of this prism

Answers

Answer:

no idea sorry

Step-by-step explanation:

sorry,but god bless you and your family,love from Honeyyy and stay safe    -love from Paris

I’ve done this exact problem before, but I forgot how to solve it. sorry-

i need gcf help i for got howww if u get it correct i will mark if i can

Answers

Answer:

6

Step-by-step explanation:

GCF=Greatest common factor

we know that it can not be 15 due to 15 not going into 54 due 54 not ending in a 5 or 0. and we know it cannot be 9 either due to 9 not going into 30

so it is 6 because 6 goes into 30 5 times and 6 goes into 54 9 times

Hope this helps

Answer:

6

Step-by-step explanation: (Sorry if this doesn’t help)

Smallville is 104 miles east of Bigtown. Medburg is 206 miles east of Bigtown. How many miles is Medburg from Smallville?

Answers

Answer:

102 miles

Step-by-step explanation:

Answer:

102

Step-by-step explanation:

206-104=102

HURY PLEASE!

Laila is setting up a conical tent in the backyard. The height of the tallest part of the tent is 7 feet. The inside of the tent has a volume of 56 cubic feet. How many square feet are covered by the base of the tent?

Answers

Answer:

the answer is not  23.93 ;  it ' s  24 < 3

___________________________________________________________

HAVE A GLORIOUS DAY LUV < 33

___________________________________________________________

brainliest ? :0

                          the crown at the bottom of my answer >.<

Answer:

24

Step-by-step explanation:

I got it right on edg

Which choice shows the numbers correctly ordered?
Please help me I will give out extra points and the brain thing.

Answers

Answer:

I think it's B

Step-by-step explanation:

square root of 1/21 is smallest, then 1/5, then 4.15, then square root of 21

The ansewer is b
The square root of 1/21 means smaller then 1/21 and 1/21 is already the smallest. .20 or 1/5 is the second smallest and 4.5 is less then the square root of 21.

Can anybody help me ?

Answers

Answer:

2nd choice

Step-by-step explanation:

Look at the graph

Answer: 2

Step-by-step explanation:the graph says it all

Find the product. Round to the nearest hundredth. 23.67 x 2.03

Answers

Answer:

48.1

Step-by-step explanation:

Answer:

Your answer would be 48.05

Step by step explanation:

23.67 × 2.03 = 48.0501

48.0501 = 48.05

Help 100 Points + Brainlyest 8th grade math Look at the pics below

Answers

Answer:Answer:ill help whats the question? can i get brainiest?

Step-by-step explanation:The time taken by car to pass the truck is 1.125 hours

Solution:

A truck enters a highway driving 60 miles per hour a car

The car enters the highway at the same place 9 minutes later and drive 68 miles per hour in the same direction from the time the car enters the highway

Let us first convert 9 minutes to hours

Let the truck covers 'x' m distance in time 't' hour the car will take [t -(3/20)] hour to cover the same distance 'x'

We know that,

For truck : ----------- eqn 1

For car: ------------ eqn 2

From equations (i) and (ii)

Thus the time taken by car to pass the truck is:

Thus the time taken by car to pass the truck is 1.125 hours

Answer

1

PiaDeveau

   Ace

   4.7K answers

   16.8M people helped

Number of miles that marker shows when passes through town= 160 miles.

Number of miles that marker shows currently to John = 115 miles.

We need to find the distance between town and John's current location.

For the problem, we can clearly see that Town is at 160 miles away but when John passes the marker shows 115 miles.

So, it's just the difference between 160 miles and 115 miles.

In order to find that difference, we need to subtract those two numbers.

160miles - 115miles = 45 miles.

So, we could say the distance between town and John's current location is 45 miles.

He'll be able to make 6 shelves.

Step-by-step explanation:

In order to know haw many shelves he can make we need to take the total amount of material and divide it by the amount of material required for each shelve. We have:

total amount = 83 1/2 inches = 83.5 inches

amount per shelve = 12 3/4 inches = 12.75 inches

amount of shelves = total amount/amount per shelve

amount of shelves = 83.5/12.75 = 6.55 shelves

Since he can't make half shelves he'll be able to make 6 shelves and have left over material.

4.5 hours

30 minutes times 9 shelves equals 270

270 minutes translates into 4 and half hours

x=initial deposit amount.

we have to add to the initial deposit amount the incomes and subtract the withdrawal

x+($75.5+$55.25)-($25.15+$18.65)=$210.85

Now we solve this equation.

x+$130.75-$43.8=$210.85

x+$86.95=$210.85

x=$210.85-$86.95

x=$123.9

Step-by-step explanation:

Which of the following expressions are equivalent to each other?
(Group of answer choices)

1. 2(x+4)

2. 8+2x

3. 2x+4

4. 3(x+4)−(4+x)

5. x+4

Answers

Answer:

Number 1 and 2

Step-by-step explanation:

For number 1, you have to distribute the 2 so 2*x=2x, and 2*4=8

That makes 2x+8 and number 2 is the only answer

1 and 2 . hope this helps :)

Find the side length of a square whose area is 121 ft^2

Answers

Answer:

The side length is 11 ft

Step-by-step explanation:

The area of a square is given by

A = s^2 where s is the side length

121 ft^2 = s^2

Take the square root of each side

sqrt( 121 ft^2) = sqrt(s^2)

11 ft = s

The side length is 11 ft

it will be 11ft sorry if I’m wrong doee

the sum of the numbers as a product of their GCF 42 + 24

Pls help

Answers

Answer:

The answer is 64

Step-by-step explanation:

64 should be ur answer:)

Select the correct answer.

Answers

Answer: the answer would be 1/8

Step-by-step explanation:

in decimal form it would be 0.125 so the answer is 1/8

hope this helps.

Your answer is going to be 1/8
:))

Which number line and expression show how to find the distance from 2 to -
5?
O A.
1-2-(-5)
-3
0
1
3 4 5
m
OB.
12-1-5)
O C.
1-2-5

Answers

Answer:

42

Step-by-step explanation:

What is the answer to 2 subtract 2?

Answers

Answer:

0

Step-by-step explanation:

the answer to 2 subtract 2 is 0

Which graph shows the image being rotated 90°?

Answers

Answer:

its A

Step-by-step

C is just a trick one

b can be cancelled cuz it does tot go in the ll quadrant

and D can be cancelled cuz its like a 20 degree turn

When should you use the median and interquartile range as your measure of center and measure of variability to compare populations shown on a box plot? Check all that apply.
when there are outliers in the data sets
when there are no big gaps in the middle of the data sets
when the plots representing the data are symmetrical
when the plots representing the data are nonsymmetrical
when there are no outliers in the data set
(yes it IS multiple choice)

Answers

Answer:

1,2,4

Step-by-step explanation:

Had the question before. Hope this helps.

Answer:

A,B,D

Step-by-step explanation:

Just did it

(04.04 LC)

On a coordinate grid, point L is at (−4, 4) and point S is at (8, 4). The distance (in units) between points L and S is ______. Input only whole numbers, such as 2.
Answer for Blank 1:
Pls help

Answers

Answer:

12

Step-by-step explanation:

8-(-4)=8+4=12

the answer to this problem is12

Help please!!!!!!!!!!!!!!

Answers

Answer:

40 degrees

Step-by-step explanation:

a triangle equalls 180 degrees so you add the two degrees of the angles which equals to 140 degrees and then subtract from 180.This equals 40 degrees.

what is 5 divided by 4/9

Answers

The answer is 11 1/4

Answer:

11.25

Step-by-step explanation:

You have to flip the sign and the fraction

5*9/4

45/4

11.25

What is the value of the missing angle in the triangle?

A) 156 Degrees
B) 66 Degrees
C) 142 Degrees
D) 150 Degrees

Answers

Answer:

A

Step-by-step explanation:

We know that the sum of the interior angles of a triangle must equal 180°. So:

[tex](12)+(12)+x=180[/tex]

Solve for x. Add on the left:

[tex]24+x=180[/tex]

Subtract 24 from both sides:

[tex]x=156\textdegree[/tex]

Our answer is A.

And we're done!

Answer:

A) 156 Degrees

Step-by-step explanation:

All angles in a triangle ALWAYS adds up to 180°.

Step 1: Set up equation

12° + 12° + x° = 180°

Step 2: Solve for x

Combine like terms: x° + 24° = 180°Subtract 24° on both sides: x° = 156°

Step 3: Check

All angles should add up to 180°. Plug it in and check.

156° + 12° + 12° = 180°

156° + 24° = 180°

180° = 180°

Taylor purchased a 5-inch tall model of the Washington Monument when she visited nation's capital. if the Washington Monument is about 555 feet tall, which scale best represents the scale used for the model that Taylor purchased?

A. 1 inch = 100 feet
B. 1 inch = 105 feet
C. 1 inch = 110 feet
D. 1 inch = 150 feet

Answers

Answer:

the exact is 111 but C is the next best

Step-by-step explanation:

555/5=111

111 is closest to 110

C. The actual is answer is 111 feet, but since it asked which one best represents, 110 is the closest to 111. 555 divided by 5 is 111. So therefore the answer is C.

Solve the equations in Parts A and B using inverse operations. Check your solutions. In your final answer, include all of
your work
Part A: 5 + 2 = 232 + 13
Part B:5 + 1 = 23% + 13

Answers

Answer:

Part A: 7 = 245

Part B: 6 = 1323/100

Step-by-step explanation:

Part A: Add the numbers 5 and 2 which you get 7 and then you add 232 and 13 which gives you 245

equation version: 5 + 2 = 7

232 + 13 = 245

7 = 245

Part B: In order to convert a precent to a ratio, divide it by 100

23/100

5 + 1 = 23/100 + 13

5 + 1 = 6

23/100 + 13 = 1323/100

6 = 1323/100

Hope this helps :)

Answer: B

What is the answer of this

Answers

-48 would be the answer

Trick question what is 1+(6+8)×3? Did you get it correct?
(A) 25
(B) 24
(C) 23
(D) 10




























The answer is...




















Guess! lol

Answers

6+8= 14+1=15 times 3 shouldnt it be45?

How do you find the unit rate?

Answers

Answer:

A unit rate is a rate with 1 in the denominator. If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.

Step-by-step explanation:

i honestly looked it up hope it helped tho lol

You can calculate the unit rate or the price by doing the division operation . ( numerator divided by denominator )
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