Two students created models of the same building. One student used a scale factor of 3 centimeters (cm) = 15 meters (m). The second student used a scale factor of 4.5 = 15 m. The height of the original building is 20 meters. What is the difference between the heights of the two students' models?

Answers

Answer 1

Answer:

2 cm

Step-by-step explanation:

First student:

Scale factor = 3 cm to 15 m

Height of original building = 20 m

Height of the first student's model = [tex] \frac{20*3}{15} = \frac{60}{15} = 4 cm [/tex]

Second student:

Scale factor = 4.5 cm to 15 m

Height of original building = 20 m

Height of the first student's model = [tex] \frac{20*4.5}{15} = \frac{90}{15} = 6 cm [/tex]

Difference between the heights of the two students' models = 6 cm - 4 cm = 2cm


Related Questions

(Brainlest) (Points) Your friend is trying to make an equivalent ratio to 5/10. Please explain to your friend how they can make an equivalent ratio to 5/10.

( E X P L A I N )

Answers

Answer:

Multiply both parts of the ratio by any number.It'll always be equivalent.Hope this helps!

Answer:

Because it is like a fraction 5/10 would mean 5 so hope that helped

Step-by-step explanation:

Is the difference between a rational number and an irrational number always an irrational number ?

Answers

Answer: Of course!

Step-by-step explanation: I will suck at explaining this. Here's the general idea: A rational number is a number that is the quotient of two integers, or whole numbers. Rational numbers are things like 2, 5, 6, 2.5, 2.25, 6.53465, 1.666666666666666666666666666667; you get the idea. The point is, it can be represented by the fraction of two integers. An irrational number is something that cannot be represented this way. It's the same thing with multiplying an even number by an odd number; it'll always be odd, regardless of what the odd number is. Same with odd - even; it'll always be odd. Point being, there is no rational number that can be subtracted by an irrational number and be rational, or an irrational number that is subtracted by a rational number.

There’s one more to this

Answers

Answer:

C

Step-by-step explanation:

i am a master at slope questions :)

PLS HELP:( !! What is an equation of the line
that is perpendicular to the line
y= -2/3x-1 and passes through
the point (-4, 2)?

Answers

Answer:

[tex]y = \frac{3}{2} x + 8[/tex]

Step-by-step explanation:

The given equation is written in the form of y=mx+c (where m is the gradient and c is the y-intercept).

Thus, gradient of given equation= -⅔

The products of the gradient of perpendicular lines is -1.

(Gradient of line)(-⅔)= -1

Gradient of line

[tex] = - 1 \div ( - \frac{2}{3} ) \\ = \frac{3}{2} [/tex]

Hence, m= [tex] \frac{3}{2} [/tex].

Subst. m= [tex] \frac{3}{2} [/tex]into the equation:

[tex]y = \frac{3}{2} x + c[/tex]

To find the value of c, substitute a pair of coordinates into the equation:

When x= -4, y= 2,

[tex]2 = \frac{3}{2} ( - 4) + c \\ 2 = - 6 + c \\ c = 2 + 6 \\ c = 8[/tex]

Thus, the equation of the line is [tex]y = \frac{3}{2} x + 8[/tex].

Y=3/2 because It passes through the point

What is the area of a triangle with verticals at (
-4, 1) (-7, 5) and (0, 1)

Answers

Answer: 44

Step-by-step explanation: Because I’m in collage

Write the equation of a line perpendicular to y=3x+5 and passes through the point (1,7).

Answers

Answer:

y = -3x + 10

Step-by-step explanation:

The slope of perpendicular line is the opposite and reciprocal of the original line.

3 -> -3

Find the new y-intercept.

y = -3x + b

7 = -3(1) + b

7 = -3 + b

10 = b

y = -3x + 10

Best of Luck!

what is the square footage of a ploygon that is 120 x 100?

Answers

Answer:

12000

Step-by-step explanation:

Convert: 27 mm = _______ m

A. 270
B. 0.027
C. 2.7
D. 0.0027

Answers

Answer:

B. 0.027

Step-by-step explanation:

hdhdbebbendn

Answer:

B. 0.027

Step-by-step explanation:

Divide the mm value by 1000 (since it is a thousanth of a meter) and you get your answer

Which expression will have the same value as 3(4 x + 9) ‒ 6 x for all values of x?

A. x + 12
B. x + 27
C. 6 x + 12
D. 6 x + 27

Answers

The answer is D. All you had to do is multiply 3 with 4x and 9 after that you have to combine like term and then thats how you get 6x + 27

Question 4
©
A researcher studying koi fish collected data on three variables, A, B, and C. The following residual plots show the residual for a model for predicting each variable from the age of the fish

Answers

Answer:

Plot for Variable C Only

Step-by-step explanation:

Trust me, unless your teacher switched the order of the charts in which case it's the linear one!

The residual plot is a form of scatter plot that shows the difference between the observed value and the actual value.

The plot that supports a linear model is plot A.

The complete question requests that we select all plots that can be used as a linear model.

For a residual plot to be used as a linear model, the pattern of the residual plot must be at random (i.e. it must not show any obvious pattern)

From the given plots (see attachment), we have the following observation.

Plot A shows no patternPlot B shows a curve (like a quadratic function)Plot C shows a linear pattern

Hence, only plot A can be used as a linear model.

Read more about residual plots at:

brainly.com/question/2876516

What is the slope of the line represented by the equation y =-7/2x+1/4?

Answers

Answer:

-7/2

Step-by-step explanation:

It's kinda hard to explain... just take the answer lol

I need help ASAP! Due Tomorrow !!!
1. In the equation y = 2x, what would be the C.O.P ?
2. A graph has the points (2,6) ; (3,9) ; and (5,15)
What is the equation of the graph?​

Answers

9514 1404 393

Answer:

the contant of proportionality is 2y = 3x

Step-by-step explanation:

1. Match the given equation (y = 2x) to the pattern ...

  y = kx . . . . . k is the constant of proportionality

Hopefully, you can see that k corresponds to 2. That is, the coefficient of x is the constant of proportionality. It is 2.

__

2. Since you're studying proportions, it is useful to look at the ratio of the y-value to the x-value. In each case, it is 6/2 = 9/3 = 15/5 = 3. Then the graph shows the variables are proportional, with a constant of proportionality of 3.

  y = 3x

Which of the following statements are true?
Choose all answers that apply:

Answers

Based on the equation of the line, the true statements are:

The slope of the line is 2.5.A change of 2 units in x results in a change of 5 units in y.

Why are these true?

The formula of the line from the original question is y = 2.5x.

The equation of a line is given as:

y = mx + c

M in the above equation is the slope of the line. In the above line, the format is:

y = 2.5x

Even though c is not present, m is present as 2.5 which makes it the slope of the line.

A change in 2 units in x would be:

= 2 x 2.5

= 5 units in y

Find out more on the equation for a straight line at https://brainly.com/question/17130521.

$130.00 coat; 20% discount
Find the total cost to the nearest cent.

Answers

Answer:

26

Step-by-step explanation:

130 times 20% is 26

You could also do it like 130 times 0.20 and still get 26

A battery was charged. When the charging began, it was 232323 percent full. After 303030 minutes of charging, the battery was 898989 percent full. How long did it take the battery to be fully charged?

Answers

Answer:

1,172 minutes

Step-by-step explanation:

Answer:

35 minutes

Step-by-step explanation:

Let's say that the percentage of the battery's capacity that is charged increases by VVV percent each minute. Then, it increases by V\cdot TV⋅TV, dot, T percent in TTT minutes. In addition, we know that when the charging began, the battery was 232323 percent full.

The percentage of the battery's capacity that was charged at any given time is found by taking the percentage the battery was already charged when the charging began and adding to it the percentage that was additionally charged since then. We can express this with the equation C=23+V\cdot TC=23+V⋅TC, equals, 23, plus, V, dot, T, where:

CCC represents the percentage of the battery's capacity that is charged at a given time

VVV represents the charging rate (in percent per minute)

TTT represents the time (in minutes)

Hint #22 / 4

We know that after 303030 minutes (T=\blue{30})(T=30)left parenthesis, T, equals, start color #6495ed, 30, end color #6495ed, right parenthesis, the battery was 898989 percent full (C=\pink{89})(C=89)left parenthesis, C, equals, start color #ff00af, 89, end color #ff00af, right parenthesis. Let's plug these values into the equation to find the value of VVV.

\qquad \begin{aligned}\pink{89}&=23+V\cdot\blue{30}\\ 30V&=66\\ V&=2.2\end{aligned}

89

30V

V

 

=23+V⋅30

=66

=2.2

Therefore, the battery was charged at a rate of 2.22.22, point, 2 percent per minute.

Hint #33 / 4

To find how long it took the battery to be fully charged, we can plug C=100C=100C, equals, 100 into the equation and solve for TTT.

\qquad\begin{aligned}100&=23+2.2T\\ 2.2T&=77\\ T&=35\end{aligned}

100

2.2T

T

 

=23+2.2T

=77

=35

Hint #44 / 4

The battery was charged at a rate of 2.22.22, point, 2 percent per minute.

It took the battery 353535 minutes to be fully charged.

A gardener plants roses and carnations in the areas shown in the model below.

A model with 4 rows of 4 squares, representing 16 acres of roses, and 4 rows of 3 squares, representing 12 acres of carnations.

What value correctly fills in the blank in the equation 16 + 12 = 4 x (blank + 3) to show the sum of the two areas of flowers?
2
3
4
8

Answers

Answer: 4

                               

Step-by-step explanation: 3 + 4 = 7 and 4 x 7 is 28. If you're 16 and 12 you also get 28

Answer:

answer is C

answer is 4

Step-by-step explanation:

What value correctly fills in the blank in the equation 16 + 12 = 4 x (blank + 3) to show the sum of the two areas of flowers?answer is 4

Please, for me? I need to pass my math class.

Noah and Diego left the amusement park’s ticket booth at the same time. Each moved at a constant speed toward his favorite ride. After 8 seconds, Noah was 17 meters from the ticket booth, and Diego was 43 meters away from the ticket booth.

Q: Which line represents the distance traveled by Noah the blue line or the black line?

Answers

Answer: Black

Step-by-step explanation: I feel like the higher the line is on the graph, the farther they have moved, so since the black line is the lowest, it might be Noah.

Hope this helps!

hElp again for the last time if i dont get it wrong ;-;

Answers

Answer:

45%

Step-by-step explanation:

45 out of 100 blocks are shaded.

<3

its economics

Which describes a type of tax that funds city programs? Oprogressive tax federal income tax Olocal income taax Omedicare tax​

Answers

Answer:

local income tax

Explanation:

The "local income tax" refers to the tax levied to people who are residing or working in a specific local area. This is the tax being used to fund the city programs that will help improve the community.

Such programs include the development of parks in the area, including landscape beautification or enhancement of the public markets, improvement of public schools, etc.

Local income tax may appear as a "withholding tax" in some situations. In this case, it is automatically being withheld from the wage of a worker.

i need help with geometry

Answers

hope it helps you and plz mark me brilliantest

Step-by-step explanation:

m<2

3 | 5y - 7 | - 6 = 24

Answers

(3/5)*y-(7/(-6)) = 24 // - 24

(3/5)*y-(7/(-6))-24 = 0

(3/5)*y+7/6-24 = 0

3/5*y-137/6 = 0 // + 137/6

3/5*y = 137/6 // : 3/5

y = 137/6/3/5

y = 685/18

y = 685/18

The inequality of
8+4 times a number is greater than five times the number

Answers

Answer:

8+4x>5x  x=8

Step-by-step explanation:

i hope this is what you asked for,

Rewrite the equation C = 1.77q + 47,738 as a function of q.

Please help me quickly

Answers

Answer:

f(q)=1.77q+47,738

Step-by-step explanation:

i need the answer to angle B

Answers

B = 45 because 5x-15=2x+21 then 3x=36 n then X= 12 then plug it back into b n u hv an answerr

-3+(-2)=

2+(-6)=

Can someone answer??​

Answers

1. -5
2. -4


Hope it helps

Answer:

1 ) -52 ) -4

Step-by-step explanation:

( If you don't believe me, then check the calculator ;)

Hope this helps! <3

Somebody answer all these correct (only if u really know it)
(WILL MARK AS BRAINLIEST) promise!
Fractions :/

Answers

Answer:

hallo, I'm here to answer again!

10) >

11) <

12) <

13) >

14) <

15) >

Given f(x) = 10(3 - 2x), what is the value of f(-9)?

Answers

Answer: 210

Step-by-step explanation:

f(x) = 10(3 - 2x)

f(-9) = 10(3 - 2(-9)

f(-9) = 10(3+18)

f(-9) = 10(21)

f(-9) = 210

When Charlotte left her house this morning, her cell phone was 30% charged and it
then started to lose 2.5% charge for each hour thereafter. Write an equation for B, in
terms of t, representing the charge remaining in Charlotte's battery, as a percentage,
t hours after Charlotte left her house.
Answer B=

Answers

Answer: -2.5t+30

Step-by-step explanation:

I just did it

a) y=-3, slope is zero
b)x= -3, slope is zero
c) y=-3, slope is undefined
d)x= -3, slope is undefined

Answers

the correct answer is D, because the horizontal line is X, the numbers on the left side are negative.

Each year, roughly 10^6 computer programmers each make $10^5. How much money is this all together? Express your answer both as a power of 10 and as a dollar amount.

Answers

Given parameters:

Amount made by each computer programmer = $10⁵

Number of computer programmers = 10⁶

Problem;

How much money is this all together  = ?

Solution:

  The total money can be found using;

                   = Amount made by each programmer x number of programmers

                   = $10⁵ x 10⁶

                   = $10¹¹

As a power of ten, the amount made is $10¹¹

In dollar amount  = $100,000,000,000

Answer:

Step-by-step explanation:

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