Elias’s teacher has given him a rectangle that is 15 feet by 20 feet. She has asked him to create a new rectangle using a scale factor of 8/3. Elias says that will be a reduction because the scale factor is a fraction. Is he correct? Explain.

Answers

Answer 1

Answer:

Elias is not correct. The new rectangle will be an enlargement because the scale factor is greater than 1. To be a reduction, the scale factor must be between 0 and 1.



Answer 2

Scale factor less than 1 gives the expanded form of the figure so Elias is wrong.

What is the scale factor?

You must specify the extent of the shape's enlargement when describing one.

The scale factor is the ratio of two dimensions such that one figure is large and another is small.

The scale factor is done due to the unpractical measurement of any figure.

If the dimension of any figure is 2 units by using scale factor 2/1 it will become 2 × scale factor ⇒ 2 × 2/1 = 4

Similarly,

Scale factor 8/3 creates all dimensions by a factor of 8/3 = 2.67 so all dimensions will be going to expand.

Hence "Scale factor less than 1 gives the expanded form of the figure so Elias is wrong".

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Related Questions

A model spaceship costs $15.99 before tax. The tax on the model spaceship is 8%. What is the total cost of the model spaceship? Round your answer to the nearest cent. Enter your answer in the box.

Answers

Model spaceship cost = $15.99
Tax % = 8%

Amount of tax = 15.99*0.08 = $1.279

Amount after tax = $15.99+$1.279 = 17.2692
After rounding-off to the nearest cent, it would be $17.27

So, your final answer is $17.27

Hope this helps!

17.27 bye hope helps!


PLEASE HELP!!

For a STEM competition, Julienne constructed a model rocket. The rocket can reach an average height of 545 feet. Find the differences between the average heigh and the actual heights reached. Then write then as positive and negative rational numbers. Order the differences from least to greatest.


Actual heights


534.2


556.4


554.0


535.3

Answers

Final answer:

To find the differences between the average height and the actual heights reached, subtract each actual height from the average height. Then order the differences from least to greatest. Ordering the differences from least to greatest, we have: -11.4, -9.0, 9.7, 10.8.

Explanation:

To find the differences between the average height and the actual heights reached, we subtract each actual height from the average height:

545 - 534.2 = 10.8545 - 556.4 = -11.4545 - 554.0 = -9.0545 - 535.3 = 9.7

Ordering the differences from least to greatest, we have: -11.4, -9.0, 9.7, 10.8.

Final answer:

The differences between the average height and actual heights are calculated and then ordered from least to greatest. Negative values indicate the actual height is higher than the average, while positive values indicate the opposite.

Explanation:

The student is asked to find the differences between an average height of 545 feet and the four given actual heights reached by a model rocket and to write them as positive and negative rational numbers, then order the differences from least to greatest.

First difference: 545 - 534.2 = 10.8 (positive because the average is higher)Second difference: 545 - 556.4 = -11.4 (negative because the actual height is higher)Third difference: 545 - 554.0 = -9.0 (negative because the actual height is higher)Fourth difference: 545 - 535.3 = 9.7 (positive because the average is higher)

Now, we order these differences from least to greatest (considering negative numbers are lower than positive numbers):

-11.4-9.09.710.8

3/5 is greater than 6/10

Answers

Simplify 6/10
6/10= 3/5

3/5 = 3/5

For what value of x is the value of f(x)=4x-2 equal to 18

Answers

f(x) = 4(5) - 2 → f(x) = 20 - 2 → f(x) = 18
f(5) = 4*5-2
f(5)= 20-2
f(5) = 18 the value of x is equal to 5 to make the function equal to 18.

Write four equivalent expressions for each given expression. 20-10, 24+16, 14y-7y, 3p + 12p, 2(3+5m) and 5(3x+2)

Answers

No variable definition
No definition for variable

Which equation can be used to find the answer?

Christina climbs to the top of Mount Graham in Arizona. On the first day, she climbs to an elevation of 1029 ft. The elevation of Mount Graham is 10,724 ft. How many total feet of Mount Graham’s elevation does Christina climb on the other days?
A. e + 1029 = 10,724
e = 9695
9695 ft

B. e = 1029 · 2
e = 2058
2058 ft

C. e = 10,724 ÷ 2
e = 5362
5362 ft

D. e – 1029 = 10,724
e = 11,753
11,753 ft

Answers

A, is the answer to your question
The Answer to your question is A.

Give me example of a unit rate used in real life

Answers

Before you begin this lesson, please print the accompanying document, Unit Rates in Everyday Life].

Have you ever been at the grocery store and stood, staring, at two different sizes of the same item wondering which one is the better deal? If so, you are not alone. A UNIT RATE could help you out when this happens and make your purchasing decision an easy one.

In this lesson, you will learn what UNIT RATES are and how to apply them in everyday comparison situations. Click the links below and complete the appropriate sections of the Unit Rates handout.

[Note: The links below were created using the Livescribe Pulse Smartpen. If you have never watched Livescribe media before, take a few minutes to watch this very brief Livescribe orientation]

What is a UNIT RATE – definitionView some examples of Unit RatesSee a process to compute Unit Rates

Regina purchased 1.75 pounds of turkey breast from her local deli for $5.99 per pound. To the nearest cent, how much did she spend at all?

Answers

5.99 per pound * 1.75 pounds purchased = $10.4825. If you round it, she spent $10.48

Write a rule for the sequence. Then find the unknown term. 25.7, 24.1, _____, 20.9, 19.3

Answers

It deducts 1.6 each time so the next one would be 22.5

Hope this helped :)
Find a formula that'll help you find the answer

Marley made 80% of what she made last week. If she $72 this week how much did he make last week?

Answers

The answer is 57 make this a brainliest answer
72 / 0.8 = 90

Therefore $90 was made the week before

What is the number in the middle of 1.5 and7.1

Answers

Add the numbers together and divide it by 2. 1.5 + 7.1 is 8.6. Then divide by 2 to get 4.3

The middle number of 1.5 and 7.1 can be calculated by finding the average of the two number. It is calculated to be 4.3.

What is average?

An average is a single number taken as representative of a list of numbers, usually the sum of the numbers divided by how many numbers are in the list.

[tex]mean = \frac{sum\ of\ terms}{number\ of\ terms }\\ \\\frac{(1.5+7.1)}{2} = \frac{8.6}{2} = 4.3[/tex]

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elizabeth purchases a container of punch mix that when mixed with water makes 640 ounce of punch. Elizabeth has 8 ounce drinking glasses. she assumes that each person will drink 2 glasses of punch. show how to determine how many people can be served with one container of punch.

Answers

since people are getting two glasses it's 8×2 which is 16, so since there are 640 ounces and each person gets 16 ounces you do 640÷16 which is 40 people.

Final answer:

Elizabeth can serve 40 people with one container of punch mix, by dividing the total ounces (640) by the size of one glass (8 ounces) to get 80 glasses, and then dividing that by 2 glasses per person.

Explanation:

To determine how many people Elizabeth can serve with one container of punch mix that makes 640 ounces of punch, we need to calculate the total number of 8-ounce glasses that can be poured from 640 ounces.

First, divide the total ounces of punch (640) by the size of one glass (8 ounces): 640 ÷ 8 = 80 glasses.Since each person will drink 2 glasses, we need to determine how many people can be served by the number of glasses. Divide the total number of glasses (80) by the number of glasses per person (2): 80 ÷ 2 = 40 people.

So, Elizabeth can serve 40 people with one container of punch mix.

The perimeter of a sheet of paper is 38 centimeters. If the width of the paper is 8 centimeters, what is the length of the paper?

Answers

11 is the length of the sheet of paper.

The perimeter of the paper is found by adding all sides together. Since the width is given, the length can be calculated. The length of the paper is 22 centimeters.

The perimeter of a rectangle is calculated by adding all its sides together.

Given: Perimeter = 38 cm, Width = 8 cm

Since the rectangle has two equal sides (width), we can calculate: Length = Perimeter - 2 × Width

Therefore, Length = 38 cm - 2 × 8 cm = 22 cm

Hence, the length of the paper is 22 centimeters.

About 3,500 different species of mosquitoes exist in the world if a mosquito traveled 10.8 miles at top speed in 99 hours, how far did it travel in one hour?

Answers

Final answer:

The mosquito traveled approximately 0.109 miles in one hour.

Explanation:

In order to calculate how far the mosquito traveled in one hour, we can use the formula:

Distance = Speed × Time

Given that the mosquito traveled 10.8 miles in 99 hours, we can plug these values into the formula:

Distance = 10.8 miles × 1 hour = 0.109 miles per hour

So, the mosquito traveled approximately 0.109 miles in one hour.

Final answer:

Mosquito populations in Brazil would likely decrease under hot (above 30°C) and dry (below 60% humidity) conditions due to the limited ability of parous females to produce offspring in such conditions, impacting the spread of mosquito-borne diseases.

Explanation:

The question involves evaluating how environmental conditions can affect mosquito populations. Based on the data given, if the climate in Brazil shifted to very hot (above 30°C) and very dry (below 60% humidity) conditions, the mosquito populations would likely decrease. The upper temperature limit for parous females, which are females that have produced viable offspring, is around 30°C. Warmer temperatures would lead to a decline in offspring production. Similarly, very dry conditions (below 60% humidity) would negatively impact mosquito populations, possibly diminishing them further. This information is crucial for understanding mosquito behavior and the spread of diseases such as the West Nile virus, for which mosquitoes are vectors. Efforts to control mosquito populations through environmental management, genetic modification, and other disease prevention strategies are significant to public health.

A square room has a tiled floor with 81 square tiles. How many tiles are along an edge of the room?

Answers

As there are 81 tiles total, that makes your area 81. Being a square, that makes your area equation A=s^2. As you need a side, this makes your equation s=√A. Plugging in 81 as A, we get s=√81=9, so an edge has 9 tiles.

There are 9 tiles are along an edge of the room.

Here,

A square room has a tiled floor with 81 square tiles.

What is Area of a square?

In square all the sides are of equal measure. Since all the sides are equal, the area would be length times width, which is equal to side × side.

Now,

A square room has a tiled floor with 81 square tiles.

Number of tiles on edge of the room is equal to length of one side of the room.

Hence, we have to find the length of each side of a square room.

For this,

Area of square room = [tex]side^{2}[/tex] = [tex]81[/tex]

⇒ side = √81 = 9

So, There are 9 tiles are along an edge of the room.

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Joe is training for a race in 30 days. He needs to run a total of 135 miles. How many miles will Joe need to run each day to be ready for the race ?

Answers

135/30=4.5mi per day
he will need to run 4.5 miles every day to get ready for his race.

Write each rate as a unit rate. $2 for 36 erasers

Answers

one eraser costs $36/2 that is $18
36/2 = 18.
So 18 erasers cost $1
18 erasers/$1

304 students went on a field trip .7 buses were filled and 17 students traveled in cars. How many students were in each bus?? Show 2 step equations!!

Answers

304-17= 287.
287 divided by 7= 41 students per bus.

Answer:

There were 41 students in each bus.

Step-by-step explanation:

Consider the provided information.

304 students went on a field trip 7 buses were filled and 17 students traveled in cars.

We need to find How many students were in each bus.

Let the number of students in each bus is represented by x.

Thus the required equation is:

[tex]7x+17=304[/tex]

Subtract 17 from both the sides.

[tex]7x=304-17[/tex]

[tex]7x=287[/tex]

[tex]x=41[/tex]

Hence, there were 41 students in each bus.

Of the 30 girls who tried out for the lacrosse team at Euclid Middle School, 12 were selected. Of the 40 boys who tried outo, 16 were selected. Are the ratios of the number of students on the team to the number of students trying out the same for both boys and girls? How do you know?

Answers

For girls: 12/30 = 4/10 = 2/5

For boys: 16/40 = 4/10 = 2/5

The ratios of the number of students on the team to the number of students trying out for both boys and girls are the same since 12/30 = 16/40...

how fast does a ferrari go?

Answers

Depends what Ferrari car it is.
it travels 211 miles per hour

a student correctly answered 80% of the 2o questions on the test How many questions did the student answer correctly

Answers

16 questions right is the answer




Select all the expressions that are equivalent to 735 ÷ 100.

A. 7.35 ÷ 1,000
B. 735 × 0.01
C. 73.5 × 0.001
D. 735 × 0.001
E. 73.5 × 0.1

Answers

B And E All of the rest are wrong <- For 20+ Chars.
all you do this the basic math of each one and see which one matches the answer in the problem which is 7.35.

B. and E are your answers

Bradley's TV screen is 15 feet by 20 feet he wants to put new covers on the TV screen that cost $25 per square foot how much will it cost to cover his TV screen

Answers

25×15 and 25×20 thats the answer

What digit in the serial number of this dollar bill occurs most often? 6,8,5,8,2,8,5,8

Answers

8 occurs most often.

Answer:

8

Step-by-step explanation:

sorry if this its old

write a each fraction as a decimal and as a decimal

Answers

258/300 simplified will be 43/50

As a decimal, it would be 0.86
As a percent, it would be 86%
14.=.86

that is all I could see not already finished
Sorry if there was more

math problem number 7

Answers

My answer would be A. Because after Corrine spends $20, $13, and $4, she earns back $30.

A number line that represents a strategy for determining how many more dollars Corrine needs to earn so that she earns exactly as much as she plans to spend is: C. number line C.

In Mathematics, every number line would primarily increase in numerical value towards the right from 0 and decrease in numerical value towards the left from 0.

Based on the information, the total expenses incurred by Corrine can be calculated as follows;

Total expenses = -($20 + $13 + $4)

Total expenses = -$37

In this context, the amount of dollars that Corrine needs to earn to balance her expenses is given by;

Amount of dollars = $20

Amount of dollars = $20 + $13 = $33.

Amount of dollars = $33 + $4 = $37.

In conclusion, a double numer line such as numer line C, should be used to show the addition (-37 + 37) = 0.

Complete Question:

Corrine plans to spend $20 on a new shirt, $13 on dinner, and $4 on a bus ticket. She knows that she will earn $30 for baby-sitting. Which number line represents a strategy for determining how many more dollars Corrine needs to earn so that she earns exactly as much as she plans to spend?

A car travels at an average of 52 mph. How long does it take to travel 286 miles?

Answers

The answer is 286/52=5.5 hours

Answer: 5 hours and 30 minutes

divide 286/52 =5.5 .5=50 simplify it down to the closest hour passed which would be 30. If it was .75 and not .5 it would of been 5. 60 . I hope this helps they always try and get you this way

Step-by-step explanation:

Antonio gave 27 tomatoes to his neighbor and 15 to his brother.he had 72 tomatoes before giving some away.how many tomatoes does Antonio have lefted.

Answers

To figure this out just add 27 and 15 together than subtract that number by 72.
72-15=57-27=30



Antonio has 30 tomatoes left.

A building with a height of 14 m casts a shadow that is 16 m long while a taller building casts a 24 m long shadow. What is the height of the taller building?

Answers

It would be a 22 m of the taller building. Hope this helps.

How is multiplication using partial products different from multiplication using regrouping and how are they similar

Answers

Answer:

Explained below.

Step-by-step explanation:

Multiplication using partial products is the process of multiplying the ones first, tens next, hundreds next and so on. and finally adding all the products.

Ex:

15 × 75 = 15 × (70 + 5)

= (15 × 70) + (15 × 5)

= 1050 + 75

= 1125


Multiplication using regrouping is the process of carrying over the tens, hundreds, thousands, and so on. to the next level and adding them to the subsequent products.

Ex:

15 × 75 =

  75

105

----------

1125

Multiplication involves calculating the product of a set of numbers or expressions.

Partial products and multiplication by regrouping are different because partial product involves step by step, while multiplication by regrouping involves direct multiplication.They are similar because, both methods carry the remainder of a product onto the next.

An illustration of partial product is as follows:

[tex]\mathbf{39 \times 4}[/tex]

Start by rewriting 39 as 30 + 9

[tex]\mathbf{39 \times 4 = (30 + 9) \times 4}[/tex]

Expand

[tex]\mathbf{39 \times 4 = 30 \times 4+ 9 \times 4}[/tex]

Calculate the product

[tex]\mathbf{39 \times 4 = 120+ 36}[/tex]

[tex]\mathbf{39 \times 4 = 156}[/tex]

The above product by regrouping is as follows

[tex]\mathbf{39 \times 4}[/tex]

Start by multiplying 9 and 4

[tex]\mathbf{9 \times 4 = 36}[/tex]

Write down 6, carry 3

Multiply 3 and 6

[tex]\mathbf{3 \times 4 = 12}[/tex]

Add the carried 3

[tex]\mathbf{3 \times 4 +3= 12 +3}[/tex]

[tex]\mathbf{3 \times 4 +3= 15}[/tex]

So, the complete product is:

[tex]\mathbf{39 \times 4 = 156}[/tex]

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