Lin has a scale model of a modern train. The model is created at a scale of 1 to 48. The height of the model train is 102 milliliters. What is the actual height in meters?

Answers

Answer 1

Answer:

The actual height is 4.896 m

Step-by-step explanation:

Given

[tex]Ratio= 1 : 48[/tex]

[tex]Scale\ Height = 102mm[/tex]

Required

Determine the actual height in metres

Represent the actual height with x.

So, the ratio of Scale Height to Actual Height as:

[tex]Ratio = 102mm : x[/tex]

To calculate x, both ratios must be equal

[tex]1 :48 = 102mm:x[/tex]

Convert to fraction

[tex]\frac{1}{48} = \frac{102mm}{x}[/tex]

Cross Multiply

[tex]x * 1 = 48 * 102mm[/tex]

[tex]x = 4896mm[/tex]

Convert mm to metres

[tex]x = 4896 * 0.001m[/tex]

[tex]x = 4.896m[/tex]

The actual height is 4.896 m


Related Questions

please help me im failing :(

Answers

38/z. This can be found by taking 38 and putting it over z, which means division.
38/z

The slash means division

5. Jay tossed two coins several times and then
recorded the results in the table below.
Toss 1
Coin Toss Results
Toss 2 Toss 3 Toss 4
H;T TH T;T
Toss 5
Η; Η
T: H
What is the experimental probability that
the coins will land on different sides on his
next toss?

Answers

Answer:1/5

Step-by-step explanation:

A truck driver transported 748 boxes of goods at the first time. And the number of boxes of goods at the second time decreased to 561. What was the percentage decrease in the number of boxes of goods?

Answers

Answer: 25% decrease in number of boxes of goods

Step-by-step explanation:

If you want to find a percent of a number you turn the percent into a decimal

Example:

Step 1

25% of 748

Step 2

0.25*748=561

Uhh pls help I got 3 mins left

Answers

Answer: im taking a wild geuss of 7.5 and 3.5

Step-by-step explanation:

im just thinking it divides by 2

The United States Postal Service delivers about 2^4x3x5^3 pieces of mail each second. There are 2^8x3^4x5^2 seconds in six days. how many pieces of mail does the United States Postal Service deliver in six days? Write your answer as an expression involving three powers.

Answers

Answer:

2^12x3^5x5^5

Step-by-step explanation:

- The problem gives us the pieces of mail delivered per second and the amount of seconds in six days, so to find the pieces of mail delivered in six days we need to multiply pieces per second by seconds in six days.

-The pieces of mail delivered per second is 2^4x3x5^3, and seconds in six days is 2^8x3^4x5^2, therefore we must multiply (2^4x3x5^3)x(2^8x3^4x5^2)

-When multiplying powers with the same base, you need to add the exponent, for example 2^4 has the same base as 2^8, so when multiplying 2^4 and 2^8, we would have a product of 2^12

-Repeat this process with the remaining powers:

-3x3^4=3^5

-5^3x5^2=5^5

-Write the expression with the three powers

2^12x3^5x5^5

lmk if I made any errors, hope this helped :)

Matteo is centering a poster on the back of a door that is 32 inches wide. The poster is 18 ½ inches wide. How far from the edge of the door should Matteo hang the poster?

Answers

Answer:

All you have to do is subtract 18.5 from 32 = 13.5 and then divide that number by 2 for each side of the poster, 13.5 / 2 = 6.75 inches

Step-by-step explanation:

Cresthaven Middle School held a track and field event during the school year. The chess club sold various drink and snack items for the participants and audience. Altogether, they sold 484 items that totaled $1,694. If the chess club sold each item for the same price, calculate the price of each item.

Answers

$3.50 per item. 3.50 multiply 484 is $1694
Answer: $3.50My reasoning: 484 x 7 = 3388    3388 ÷ 2 = 1694So, this led me to know that if 484 x 7 gives 3388, which is another half of 1694 (basically 1694 x 2) , what is half of 7?                               Well, 3.5 is half of 7      484 x 3.5 = 16943.5 can be 3.50 if you just add a 0 at the end.

I dont know what to do plz help will mark brainliest if correct ​

Answers

Answer:

it is B

Step-by-step explanation:

9/100 =_____%
please answer and explain! Thanks!

Answers

Answer:

.09

Step-by-step explanation:

It is this because if you divide 9 by 100 it will equal .09.

-7x + 13
HELP I WILL CHOOSE BRAINLIEST TO BEST ANSWER

Answers

search it up than you will get the correct answer

Answer:

-20x

Step-by-step explanation:

Graph the description of each line A line has a slope of -3 and a y-intercept of 3.

Answers

Answer:

The equation is y = -3 + 3

Step-by-step explanation:

It will go through (0,3) and it wil go up 3 right one.

Answer:

equation: y= -3x+3

Step-by-step explanation:

Subustitute formula y=mx+b for the slope=m and in this case the slope is -3. and the y intercept=b so if u plug in m and b in the formula y=mx+b you get y=-3x+3. next, since the slope, put the -3 over 1 to create a fraction. next, plot the point (0,3) as the y-int. then follow the pattern -3 down right 1. So the points to plot are (0,3), (1,0) (2,-3)  

Ahmed reads for x minutes. Kimaya reads for 4/7
of that time.

Write an equation that describes the relationship between the two quantities.

Answers

4/7x=y

x=Ahmed # of minutes
y=Kimaya # of minutes

An equation that describes the relationship between the two quantities will be;

⇒ y = 4/7x

Where, x is number of minutes for Ahmed and 'y' is number of minutes for Kimaya.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Ahmed reads for x minutes. Kimaya reads for 4/7 of that time.

Now,

Since, Ahmed reads for x minutes.

And, Kimaya reads for 4/7 of that time.

Let 'y' is number of minutes for Kimaya.

So, We get;

⇒ y = 4/7x

Thus, An equation that describes the relationship between the two quantities will be;

⇒ y = 4/7x

Where, x is number of minutes for Ahmed and 'y' is number of minutes for Kimaya.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

PLLLZZZZ HELP!!!!!! I will mark brainliest!!!

Answers

Answer:

4) yes, the rate is 3

5) no

6) yes, the rate is 5

Step-by-step explanation:

Direct variation is y = kx.

4.

First, substitute your values into the equation for direct variation to find K, the rate.

3 = k(1)

3 = k

Now let's see if this holds true.

6 = 3(2)

6 = 6

This looks true, but let's do another one from the table.

9 = 3(3)

9 = 9

And another just to check.

12 = 3(4)

12 = 12

So, #4 is direct variation.

5.

1 = k(2)

1/2 = k

Let's test for all of the other values to be sure.

2 = (1/2)(3)

2 ≠ 1.5

3 = (1/2)(4)

3 ≠ 2

This is not true. #5 is not an example of direct variation.

6.

5 = k(1)

5 = k

Time to check.

10 = 5(2)

10 = 10

Again.

15 = 5(3)

15 = 15

Again.

20 = 5(4)

20 = 20

One last time...

25 = 5(5)

25 = 25

#6 is an example of direct variation.

help me and il give u brainlet or whatever they call it

Answers

1. If he drove at 55 mph he would drive 275 miles in 5 hours

2. If she buys 15 more she will spend $131.25 in total

Answer:

1)He can drive 275miles 2)$26.25

Step-by-step explanation:

1) When you divide the amount of miles driven by the amount it took, you can find the mph Mr.Bell was driving at. 440/8=55, which means he drove at 55mph. In 5 hours, mr bell can drive 275miles when you multiply 55 by 5.

2)If you divide 105 (cost) by how many trays were purchased you can find how much costed per tray. 105/5=21. If it costs $21 per tray, you can divide how much a tray costs by how many plants are in it. 21/12=1.75. It costs $1.75 per plant. Multiplying 1.75 by how many additional plants are to be purchased, (15) you can find out how much it costs for their purchase. 1.75x15=26.25

A right triangle has side lengths 7, 24, and 25 as shown below.


Use these lengths to find tan B, sin B, and cos B.


tan B


sinB =


LNB


cosB =

Answers

Answer:

Steps below

Step-by-step explanation:

The value depends on which angle is B, suppose ∠B is the opposite angle of side length 7

sin B = 7/25

cos B = 24/25

tan B = 7/24

if ∠B opposite to side length of 24

sin B = 24/25

cos B = 7/25

tan B = 24/7

what is the distance between the points (8,3) and (8,−6)?


3 units

8 units

9 units

17 units

Answers

3 units because when you move from point a to point be it’s 3 hops or spaces

Answer:

9 units

Step-by-step explanation:

8.......8

3.......-6?

3 - (-6) = 9

"- (-" always equals "+"

Round 3,854,927 to the hundredths place

Answers

Answer: 3854927

Step-by-step explanation: Becuase I smart

The table shows the frequency of each number of a 1-6 number cube when the cube was rolled 100 times.

Based on the data in the table, what is the probability that on the next roll a 3 will be rolled?

Answers

Answer:

16.7%

Step-by-step explanation:

solve for k: -3k -3k = -29 + 77

Answers

Answer:

k=48

Step-by-step explanation:

Add  -29 and 77

k: -3k -3k =48

Answer:

k is going to be equal to -8.

Step-by-step explanation:

Hope this helped, have a nice day!

On a map, 1 centimeter represents a distance of 15 kilometers. How many kilometers are represented by 7 centimeters?

Answers

Answer:

7 centimeters × 15 kilometers/centimeter = 105 kilometers

algebra 1 pls ty brainilest if correct

Answers

4.
6(1.5)^1=9
6(1.5)^2= 13.5
6(1.5)^3= 20.25
The number 4 or last option

compare 3.14 *10(3) 2.6* 10(4)




or they greater than less than or equal to

Answers

Answer:

The second one is bigger and the first is smaller

Step-by-step explanation:

3.14*10(3) = 94.2 while 2.6*10(4) = 104

The first one is less and the second one is greater

HELPPPPPPPPPPP PLSSSSS ASAPPPP I ALSO HAVE OTHER ANSWERS

Answers

3) the other factor is 5
2x2x2x2=16 16x5=80
4) d
2x2x2=8x5=40x3=120
3: 5
4: D hope this helps!

PLEASE HELP !!!!!!!!!! I'LL GIVE BRAINLIST!!!!!!

Answers

B 40 is the answer to your question

40 is the answer

      -Millie

which answer is the correct rate of change for the graph

Answers

It is -5/6 Rise/run. Rise is up 5 Run is over 6. If it goes from the top left to the bottom right it is negative so -5/6

Can someone help me on this

Answers

Answer:

Two (2) terms

Step-by-step explanation:

ALWAYS remember a term is a part of an algebraic expression that is separated by addition.

The expression here is quite simple:  [tex]x = y - z[/tex]

But remember what I explained above; therefore, the expression would be written like this: [tex]x= y + (-z)[/tex]

giving you two (2) terms.

Hope this helps!

An art class is making a mural for the school that has a triangle drawn in the middle. The length of the bottom of the triangle is x. Another side is 1 more than three times the length of thr bottom of the triangle. Write and simplify an expression for the perimeter of the triangle.

Answers

Answer:

is that all the info they gave you?

Step-by-step explanation:

giving brainlist help

Answers

Answer:

ffg

Step-by-step explanation:

Answer: 13.6 US$

I hope this helped :)

Ahmed bikes x kilometers. Kimaya bikes 3/10
less than that.

Write an equation that describes the relationship between the two quantities.

Answers

x-3/10x=y

x=Ahmed # of kilometers
y=Kimaya # of kilometers

The required expression for the given condition is given as y = x - 10.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let Kimaya bikes y Kilometers,
Ahmed bikes x kilometers. Kimaya bikes 3/10 less than that.
According to the question,
y = x - 3/10

Thus, the required expression for the given condition is given as y = x - 10.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

pls help! if x is positive and x^2 + x=50, then x is a number between
E. 6 and 7
F. 7 and 8
G.8 and 9
H.9 and 10

Answers

Answer:

e

Step-by-step explanation:

It would be E. The explanation is because if you were to fill in 6 for x
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