One boxcar of a model train measures 6 inches in length. The actual length of a boxcar is 606 inches (50.5 ft). What is the scale of the model?
Answers
To find the scale of the model train boxcar, we need to determine the ratio of the actual size of the boxcar to the size of the model. We can do this by dividing the actual size of the boxcar by the size of the model:
scale = actual size / model size
Plugging in the values from the problem, we get:
scale = 606 inches / 6 inches
Simplifying this expression gives us:
scale = 101
So, the scale of the model train boxcar is 101. This means that for every 1 inch of the model, there are 101 inches in the actual size.
Related Questions
Which number line best shows how to solve - 2 - (- 10) ?
Answers
Answer:
A)
Step-by-step explanation:
As a rule of thumb, two negative signs directly next to each other becomes a positive sign. Simplify:
-2 - (-10) = -2 + 10 = 8
The only number line in which it ends at 8 is A, therefore, A) is your answer.
~
Answer:
the first one
Step-by-step explanation:
-2 - -10 = 8
what is the result of 8 divided by 3/8
Answers
Answer:
21 \(\frac{1}{3}\)
Step-by-step explanation:
Don't really know how to explain this over a computer, other than use a calculator.
Hope that this helps!
Explanation:
Quite hard to explain but I did it but dividing 8 and 3 and and multiplying that answer by 8.
X= -4 y= 3 there u just have to answer the whole equation.
Answers
Answer:
I think 26 irdk
Step-by-step explanation:
PLS ANSER ASAP!!! sort out the statements and formulas into the right two categories!
Answers
Area of a circle:A=nr,Measured in square units,(radius)(1/2 circumference)
can someone answer these questions for me? I have no idea how to solve any of them.
it would be best if you showed your work please
Answers
The circumference of a circular park is approximately 18 feet. What is the approximate area inside the circular park?
Answers
Answer:
25.685 square feet.
Step-by-step explanation:
Circumference = 2 * π * radius
From this, we can derive the formula for the radius:
radius = Circumference / (2 * π)
Let's substitute the value of the circumference and calculate the approximate radius:
radius = 18 / (2 * π)
radius ≈ 18 / (2 * 3.14159)
radius ≈ 2.865 feet
Now that we have the approximate radius, we can calculate the area:
Area ≈ π * radius²
Area ≈ 3.14159 * (2.865)²
Area ≈ 3.14159 * 8.193225
Area ≈ 25.685 square feet
Therefore, the approximate area inside the circular park is approximately 25.685 square feet.
C = 2πr
where C is the circumference and r is the radius of the circle.
In this case, we are given that the circumference is approximately 18 feet, so we can set up the following equation:
18 = 2πr
Solving for r, we get:
r = 9/π ≈ 2.864 feet
Now we can use the formula for the area of a circle:
A = πr^2
Substituting the value we found for r, we get:
A = π(2.864 ft)^2 ≈ 25.85 ft^2
Therefore, the approximate area inside the circular park is approximately 25.85 square feet.
Halpppp plsssssss i need help
Answers
Write an expression that can be used to find the sum of the most common and least common lengths of alien fingers.
Answer:
5 + 1 = 6
Step-by-step explanation:(MCL) Most Common Length = 5
(LCL) Least Common Length = 1
MCL + LCL =
5 + 1 = 6
I'm not sure how to solve these types of questions, I need help. Thank you!
Answers
Answer:
The x-intercept is (-5, 0).
The y-intercept is (0, 5).
Step-by-step explanation:
To find the x-intercept, we set y = 0 and solve for x:
0 = 5 + x
x = -5
Therefore, the x-intercept is (-5, 0).
To find the y-intercept, we set x = 0 and solve for y:
y = 5 + 0
y = 5
Therefore, the y-intercept is (0, 5).
Answer:
x-intercept is (-5,0)
y-intercept is (0,5)
Step-by-step explanation:
We are given a linear equation and are asked to find the x- and y-intercepts of the equation.
\(\Huge{y=5+x\)
\(\hrulefill\)
What are x- and y-intercepts?In mathematics, the terms "x-intercept" and "y-intercept" refer to points where a graph intersects the x-axis and y-axis. They are important concepts in the study of functions and graphs.
The x-intercept is the point at which a graph crosses or intersects the x-axis. It represents the value of x when y is equal to zero. In other words, it is the value of x when the function or equation is satisfied with y = 0. The x-intercept is often denoted as (x, 0), where "x" is the x-coordinate of the point.
Similarly, the y-intercept is the point at which a graph crosses or intersects the y-axis. It represents the value of y when x is equal to zero. Geometrically, it is the point on the graph where x = 0. The y-intercept is often denoted as (0, y), where "y" is the y-coordinate of the point.\(\hrulefill\)
(1) - Finding the x-intercept
To find the x-intercept, you set y equal to zero and solve the equation for x.
\(y=5+x\\\\\\\text{Let y=0}\\\\\\\Longrightarrow 0=5+x\\\\\\\Longrightarrow \boxed{x=-5}\)
Thus, the x-intercept is (-5,0).
(2) - Finding the y-intercept
To find the y-intercept, you set x equal to zero and solve the equation for y.
\(y=5+x\\\\\\\text{Let x=0}\\\\\\\Longrightarrow y=5+0\\\\\\\Longrightarrow \boxed{y=5}\)
Thus, the y-intercept is (0,5).\(\hrulefill\)
We can check this answer using a graphing calculator. Simply type in the given function and see were the function crosses each axis. Refer to the attached image.
What is the measure of the missing angle?
A) 30∘
B) 31∘
C) 32∘
D) 33∘
HELP PLEASE LOOK AT THE IMAGE NO WRONG ANSWERS
Answers
Add all the answers up and you get 327
All the angles added up should equal to 360
360-327= 33
Answer:
D) 33 degrees
Step-by-step explanation:
All interior angles of a quadrilateral must equal 360 degrees.
We have 3/4 angles, so let's write an equation:
360=x+265+32+30
simplify
360=327+x
subtract 327 from both sides
33=x
So, D is the correct option.
Hope this helps! :)
65% of the M&M candies in a package are red. 13 of the M&M candies are red. How many M&M's are there total? *
Answers
1% = 13 divided by 65 = 0.2
100% = 0.2 x 100 = 20
There are 20 candies in total^^
Answer:
There are 20 M&M's
Step-by-step explanation:
13 = 65
---- ------- = 65x = 1300
x. 100
x = 20
This Stem-and-Leaf Plot shows the number of students in each of the karate classes held at the local recreation center last week. What are the values of the following statistics?
Range:
Median:
Mode:
Answers
Answer:
potatothendbzjshejeei
Answer:
Step-by-step explanation:
In this stem and leaf plot, the number in "stem" combines with another number from "leaf" to form the real number they are referring to. For example, 1 | 0 becomes 10, and 2|3 becomes 23.
Step 1: List out all of the numbers
04= 4
4, 4, 7, 7, 8, 10, 12, 15, 16, 16, 23
Step 2: Find the range
Range= BIGGEST number - SMALLEST number
Biggest: 23
Smallest: 4
23- 4= 19
Step 3: Find the median
Median: Number in the middle
When i say this, I literally mean to line up all the numbers from least to greatest, and find the one in the middle.
4, 4, 7, 7, 8, 10, 12, 15, 16, 16, 23
Now, you count how many numbers there are. There are 11 numbers. and 11 is an odd number.
In this case, you have to find the middle number, which is 10. This is because there has to be an equal amount on numbers on both sides of the middle number. I like to place my finger on the middle number to cover it up and see how many numbers are to the left and to the right to make sure they are equal. When doing this, exclude the middle number.
Median= 10
Step 4: Find the mode
Mode= number that is seen the most times
Refer to the list:
4, 4, 7, 7, 8, 10, 12, 15, 16, 16, 23
4 appears 2 times
7 appears 2 times
8 appears 1 time
10 appears 1 time
12 appears 1 time
15 appears 1 time
16 appears 2 times
23 appears 1 time
The numbers that appear most are 4, 7, and 16. Since all 3 of the numbers are tied , appearing the same number of times, I will assume that 4, 7, and 16 are the modes.
Mode(s): 4, 7, 16
Hope this helps!! Also can i please get brainliest? I worked pretty hard on this :D
At a recent football game of 8,450 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.
Ketchup Relish Chili
54 36 60
Based on the data in this sample, how many of the people in attendance would prefer ketchup on a hot dog?
4,225
3,380
3,127
3,042
Answers
By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042
Answer:
By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042
Step-by-step explanation:
What is the domain and range of:
Answers
Answer:
b
Step-by-step explanation:
how it works with life
please help ASAP ITS DUE 11:59!!!!!!!!
Answers
Answer:
What do you need help with
Step-by-step explanation:
Answer:
Uhh, where's the question?
Step-by-step explanation:
6. The perimeter of the figure below is equal to 150 cm. What is the length of the longest
side of the polygon? Use mathematics to explain how you determined your answer.
Use words, symbols, or both in your explanation. **SHOW WORK!!!**
x
x+6
x+4
x+5
x+8
x+1
LONGEST SIDE:__________
Answers
Answer: 29 centimeters long
Step-by-step explanation: What you want to do in this kind of situation is to combine all like terms. After, you would get 6x + 24 = 150. What you would do here is to get 6x by itself by subtracting 24 on both sides. Now 6x = 126, to isolate the variable you divide 6 on both sides to get x = 21. However, the questions is asking for the longest side and you know that x + 8 will be the greatest out of all. So, x = 21 + 8 equals 29 centimeters. I hope this helps, please give me a brainlest! :)
Perimeter: all sides added
First add the given numbers
6+4+5+8+1=24
Then subtract that number from answer
150cm-24cm=126cm
Divide that by the amount of numbers
126/6=21
That means ’x’ is 21
Now you have;
21(x)
27(x+6)
25(x+4)
26(x+5)
29(x+8)
22(x+1)
Make sure they all add to 150
21+27+25+26+29+22=150cm
To find the longest side you look and the largest number which is 29
LONGEST SIDE= x+8
Vito has an 8-inch by 10-inch piece of cardstock. He cuts it in the shape shown below and folds it on the dotted lines. He tapes the slides to make the box shown below. What is the surface area of the box?
Answers
Answer:
52 square inches
Step-by-step explanation:
you measure each side and do 2 times 3 twice and add them together, then you do 2 times 4 twice and add them together, then you do 4 times 3 twice and add all the numbers together and then you get 52
PLEASE HELP
mathmatics
Answers
Answer: $38.10
Step-by-step explanation: This is the only reasonable solution that is not in the negatives, and if you do the math that's the answer.
please i would love you help
Answers
I know this question is not about math or science but my friends are saying the Leonardo DiCaprio when he was young is hotter than Zac Efron now and when he was young. I need y’alls opinions.
Who is hotter, young Leonardo DiCaprio or 35 year old Zac Efron? My pick is Zac Efron but I want some opinions.
Answers
Answer:
it's Zac Efron for sure, Leonardo DiCaprio is just not the same...
Can someone do all 8 questions for me thanks
Answers
Answer:
Step-by-step explanation:
1b
triangle A is right, B is obtuse, and C is acute
1a. triangle c is equilateral, A is isosceles, B is scalene.
2 right triangle.
Triangle A is right
B is Obtuse
&& C is Acute
1a. Triangle c is equilateral , A is isosceles , B is scalene
2 right triangle .
PEDMAS?
Example 1:
3+8(4-2)-7
Parentheses First = 3+8(2)-7
Exponents-none
Multiply/Divide 3+16-7
Add/Subtract 19-7 = 12
Example 2:
32-(9-5)+7x3-8÷2
Parentheses 32-(4)+7x3-8÷2
Exponents 6-4+7x3-8÷2
Multiply/Divide 6-4+21-4
Add/Subtract 2+17=19
Review
Directions: Compute the answers using PEMDAS.
1) 7 x 5 + 3=
2) 8 - (6 + 2)=
3) 10 - 6 + 5=
4) (21 3) x 2=
5) (12 6) + 6=
6) 3 + 10 5=
7) 8 + 4 - 2=
8) 7 + 5 - 5=
9) 16 8 - 1=
10) (20 - 17) - 3=
11) 8 + 2 - 7=
12) 18 (4 + 2)=
13) 8 - 6 + 7=
14) 5 - (18 6)=
15) 2 + 13 - 4=
16) (7 - 4) + 3=
17) 9 - 7 + 4=
18) 2 x 6 3=
19) 15 5 + 4=
20) 8 + 6 - 4=
Answers
Answer:
1. 38
2. 0
3. -1
4. 14
5. 8
6. 5
7. 10
8. 7
9. 1
10. 0
11. 3
12. 2
13. 5
14. 3
15. 11
16. 6
17. 2
18. 4
19. 7
20. 10
Step-by-step explanation:
Here are the answers to the review questions using PEMDAS:
1) 7 x 5 + 3= 38
2) 8 - (6 + 2)= 0
3) 10 - 6 + 5= 9
4) (21 / 3) x 2= 14
5) (12 / 6) + 6= 8
6) 3 + 10 x 5= 53
7) 8 + 4 - 2= 10
8) 7 + 5 - 5= 7
9) 16 / 8 - 1= 1
10) (20 - 17) - 3= 0
11) 8 + 2 - 7= 3
12) 18 x (4 + 2)= 108
13) 8 - 6 + 7= 9
14) 5 - (18 / 6)= 2
15) 2 + 13 - 4= 11
16) (7 - 4) + 3= 6
17) 9 - 7 + 4= 6
18) 2 x 6 / 3= 4
19) 15 / 5 + 4= 7
20) 8 + 6 - 4= 10
The dot plots show the heights of boys and girls at a summer camp. Heights of Boys and Girls at Camp 2 dot plots with number lines going from 40 to 60. A plot is titled Boy's Heights. There are 0 dots above 40, 1 above 41, 3 above 44, 3 above 46, 2 above 48, 3 above 50, 4 above 52, 4 above 54, and 0 above 56, 58, and 60. A plot is titled Girl's Heights. There are 0 dots above 40 and 41, 2 dots above 44, 3 above 46, 1 above 48, 3 above 50, 4 above 52, 3 above 54, 4 above 56, and 0 above 58 and 60. Which is a true statement for most of the data in each plot?
Most of the data in each plot are greater than 48.
Most of the data in each plot are less than 48.
Most of the data in each plot are around 52.
Most of the data in each plot are around 54.
Answers
Answer:
C
Step-by-step explanation:
most of data is around 52
Answer:Most of that data is around 52.
Step-by-step explanation: well i agree with the first answer but sorry if im wrong.
One out of every 3 players on a soccer team is new this season. There are 15 player on the team in all. How many players are new?
Answers
Answer : 5 players
Step - by - step explanation :
First, put the information down . . .
1 out 3 players are new this season
there are 15 players in total
Second, convert ( the denominator [ to 15 ] ) . . .
1/3 x 5/5 = 5/15 <-- 5 players are new this season
tip : when trying to do things like this - multiply the numerator and the denominator by the same number for accurate results !
The number of new players is 5.
What is division?Division is breaking a number up into an equal number of parts.
Given that, One out of every 3 players on a soccer team is new this season, There are 15 players on the team in all.
15/3 = 5
Hence, The number of new players is 5.
For more references on division, click;
https://brainly.com/question/21416852
#SPJ2
Earn points, answer both questions!
Answers
Answer:
Area of five squares = 1289.09 square units
Perimeter = 194.6 units
Step-by-step explanation:
Area of square and perimeter:
First find the length of each square, then find the area of each square.
To find the area of five squares, add all the area of each square.
Side of square1 = 27 units
\(\sf Side \ of \ square2 = \dfrac{2}{3}*27=2*9 = 18 \ units\\\\Side \ of\ square3= \dfrac{2}{3}*18=2*6=12 \ units\\\\Side \ of \ square4=\dfrac{2}{3}*12=2*4=8 \ units\\\\Side \ of \ square5=\dfrac{2}{3}*8=\dfrac{16}{3}=5.3 \ units\)
Area of square1 = 27*27 = 729 square units
Area of square2 = 18*18 = 324 square units
Area of square3 = 12*12 = 144 square units
Area of square4 = 8*8 = 64 square units
Area of square5 = 5.3*5.3 = 28.09 square units
Area of five squares = 729 + 324 + 144 + 64 +28.09
= 1289.09 square units
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Perimeter of the composite figure = (27 + 27+27+9) + (18+18+6) +(12+12+4) + (8+8+2.7)+ (5.3+5.3+5.3)
= 90 + 42 + 28 + 18.7 + 15.9
= 194.6 units
the perimeter is 194.6 units
Raul is investigating the prices of boxes of cereal at his local grocery store. He collected the cereal prices shown below. All the values are in dollars.
Create a fully labeled line plot to represent Raul’s data
Answers
Answer:
Step-by-step explanation:
there are 18 units
1 x 3.00 3 x 3.50 4 x 4.00 3 x 4.50 2 x 5.00 3 x 5.50 1 x 6.00 1x 6.50
Line plot x (unit total cereal ) 0-1 1-4 4-9 9-12 12-14 14-17 17-18 18-19
so needs to be numbered to 20
Line Plot y (Unit Price $ ) 0 -3 0 - 3.5 0-4 0-4.5 0-5 0-5.5 0-6 0-6.5
so needs to be numbered to 7
800 students attend Ridgewood Junior High School. 25% of students bring their lunch to school everyday. How many students brought their lunch to school on Thursday?
Insert the values given in the problem then scale up or down to find the missing value.
Answers
25% of 800 students is (25/100) * 800 = 200 students.
Therefore, 200 students brought their lunch to school on Thursday.
800*200= 2000
20000 divided by 10 =200
help help help help help help help help help help help help help help help help help help help help help help
Answers
Answer:
I think it could be the first one orthe forth one. It may be those ones.
please help me i will give brainliest to first person to anwser.
Answers
First we start with the formula for cylinders v=(pi)r(squared)h filled in Thats v=(3.14)(8 squared) (8) which brings us to the answer 1607.68 but you must round to the nearest tenth aka 1607.7
Answer:
The first option, V ≈ 1607.7 in²
Step-by-step explanation:
Find the volume of the given cylinder.
\(\begin{center}\framebox{\parbox{4cm}{\textbf{Volume of a Cylinder:}\\[2ex]The volume of a cylinder with radius $r$ and height $h$ is given by the formula:\\[2ex]\center{$V = \pi r^2 h$} \\ \\}}\end{center}\)
Given:
r = 8 in
h = 8 in
π = 3.14
Find:
V = ?? in³
\(\hrulefill\)
Now solving,
Substitute the given values into the formula:
=> V = (3.14)(8)²(8)
Using a calculator to simplify:
=> V = 1607.68 in²
Rounded to the nearest tenth:
∴ V ≈ 1607.7 in²
Thus, the first option is correct.
Please help me!! THIS IS DUE TOMORROW!!
Answers
Line 1 and 3 are perpendicular same reason as above
Line 2 and 3 are parallel because the have the same slope of 5/3
If you had an additional 1.65 pounds to download songs, how many more songs could you have downloaded? Write and solve an equation to solve the problem. Describe the step-by-step process you used to solve the problem
Answers
you could download 2 more songs.
X.59, where X stands for the number of songs downloaded, and .59 for the price of the song. 2*.59=1.18, or you could add .59+.59+.59=1.77, and 1.77 > 1.65, meaning you wouldn't afford the third song