Andy is building a model train. A train in real life has a wheel diameter of 33 inches, a length of 20 feet, a width of 10 feet, and a height of 12 feet. If his model has a width of 8 inches, what does the height need to be?

A) 0.96 inches
B) 9.6 inches
C) 16 inches
D) 48 inches

Answers

Answer 1

Answer: B) 9.6 inches

Step-by-step explanation:

       We will set up a proportion to solve. I will have the width of the model (in inches) as my numerator, and the height of the model (in inches) as the denominator.

-> To convert feet into inches, we multiply by 12.

       [tex]\displaystyle \frac{120}{144} = \frac{8}{x}[/tex]

       Cross multiply:

120 * x = 144 * 8

120x = 1,152

       Divide both sides of the equation by 120:

x = 9.6

9.6 inches

           The height should be B) 9.6 inches.


Related Questions

20/3=x/6 what does X equal

Answers

Answer:

x equals 40 since 3 × 2 is 6 you do 20 × 2 which is 40

if someone found three rocks and the first rock was 19.28 grams and the second rock was 25.3 grams the third rock had the mass of 46.3 grams how much greater was the mass of the third rock than combined mass of the other two rocks

Answers

Answer: 1.72 grams

19.28 + 25.3 = 44.58
46.3 - 44.58 = 1.72

Which statement is the correct interepration of the inequality -3>-4?

Answers

Answer:

-3>-4 is correct

Step-by-step explanation:

Some red, white, and blue candies
were placed in a bowl. Some contain nuts,
and some do not. Suppose one of the candies were chosen randomly from all
the candies in the bowl.
probability?
Which of the following represents a conditional
O A. The probability that it does not contain any nuts, given that the
candy is red
B. The probability that it contains nuts and is white
O c. The probability that the candy is not red
• D. The probability that the candy is blue

Answers

Answer:  Choice A

Reason:

The keyword "given" is a universal indicator we're dealing with conditional probabilities. It sets up prior knowledge to reduce down the sample space.

The fact that we know the candy is red means that we only focus on the red candies (and shrinks down the set).

Conditional probability is represented by probability that the candy is blue.

What is Conditional Probability?

One of the fundamental ideas in probability theory is the idea of the conditional probability formula. The conditional probability formula calculates the likelihood of an event, say B, given the occurrence of another event, say A.  

By knowing the conditional probability of event B given that event A has occurred and the individual probabilities of events A and B, the Bayes theorem may be used to calculate the conditional likelihood of event A given that event B has occurred.

We have,

Some red, white, and blue candies were placed in a bowl.

Some contain nuts, and some do not.

Here we are only focusing on the red candy which shows we have reduce the sample space.

Learn more about conditional probability here:

brainly.com/question/13044823

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Tuesday he used 3/5 as many of 1/8

Answers

Answer:

19/40 = 0.475 You can use either the fraction or the decimal

Step-by-step explanation:

3/5  - 1/8 = 3 · 8/5 · 8 - 1 · 5/8 · 5 = 24/40  - 5/40 = 24 - 5/40  = 19/40

Answer:

[tex] \frac{3}{5} - \frac{1}{8} = \frac{19}{40} [/tex]

TOTAL:

=0.475

Step-by-step explanation:

3/5 - 1/8 = 3.8/5.8 - 1.5/8.5 = 24/40

- 5/40 = 24-5/40 - 24-6/40 =19/40

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(5, 8) = 40. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 5 × 8 = 40. In the following intermediate step, it cannot further simplify the fraction result by canceling.

Triangle ABC has vertices at (5, 0), (- 1, - 4) , and (3, - 6) . What is the perimeter of ABC , rounded to two decimal places ?

Answers

Answer:

18.01 units to 2 dec. places.

Step-by-step explanation:

Calculate the length of the 3 lines of the triangle

AB = √ [(5 --1)^2 + ( 0 - -4)^2]

= √(36 + 16)

= √52

= 7.211.

BC = √ [(-1-3)^2 + (-4- -6)^2]

= √(16 + 4)

= √20

= 4.472.

CA = √ [(3-5)^2 + (-6-0)^2]

= √(4 + 36)

= √40

= 6.325.

So the perimeter = 7.211 + 4.472 + 6.325

= 18.008

Fill in the blanks for the formula used
to find the percent change between
an old value and a new value.

Old Value

New Value

Answers

Answer:

  [tex]\text{\% change}=\dfrac{(\text{New value})-(\text{Old value})}{\text{Old value}}[/tex]

Step-by-step explanation:

A percentage change is quotient of the difference between the new value and old value, and the old value. That fraction is expressed as a percentage in the usual way.

__

Here, the problem statement tells you to fill in the blanks with "NOO."

  [tex]\text{\% change}=\dfrac{(\textbf{N}\text{ew value})-(\textbf{O}\text{ld value})}{\textbf{O}\text{ld value}}\times100\%[/tex]

Please help this is due in the morning

Answers

JK is equal to the length of LM. So just set 3x+6+16=7x-11+14

Step-by-step explanation:

Using the Theorem,

LN*NL = KN*NJ

(7x-11)*14 = 16*(3x+6)

98x - 154 = 48x + 96

98x-48x = 96+154

50x = 250

x= 250/50

x= 5

MARK ME AS BRAINLIST

The circumference of the circle is 87.92 cm. What is the diameter? (Use 3.14 for .)

Answers

Answer: The diameter is 28cm

Step-by-step explanation:

Circumference is [tex]2\pi r[/tex] where r is the radius or just [tex]\pi d[/tex] where d is the diameter. For this, we'll use the one with the diameter.

[tex]87.92=3.14d\\\frac{87.92}{3.14} =\frac{3.14d}{3.14} \\28=d[/tex]

what the 51st term of -17, -25, -33

Answers

Answer:

The 51st term of the arithmetic sequence is - 417


Step-by-step explanation:


The formula for determining the nth term of an arithmetic sequence is expressed as Tn = a + d(n - 1)

Where a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a = - 17

d = - 25 - - 17 = - 33 - - 25 = - 8

n = 51


We want to determine the value of the 51st term, T51. Therefore,

T51 = - 17 + - 8(51 - 1)

T51 = - 17 - 400

T51 = - 417

Sam Martin makes $7 per hour and works 40 hours per week. What would be the amount of his bi-weekly gross paycheck? _______________________________

Answers

Answer:

13,440 per year.

Step-by-step explanation:

His pay check would be deducted over 93% which is 12,406 spent on bills, and about $90 left to spend on whatever he wants. (LoL)

Volume of cones
A cone has a height of 15 meters and a diameter of 12 meters. What is its volume?
Use = 3.14 and round your answer to the nearest hundredth.

Answers

Answer:

150.72

Step-by-step explanation:

Answer:

it will 3.14.

Step-by-step explanation:

there is no number after 4

PLEASE HELP (easy points)

Answers

Answer:

the first one i think

Step-by-step explanation:

In each rule, copy the chart and fill in the missing parts. (Please answer the last 4.)

Answers

Answer:

Step-by-step explanation: For x it's 2x+2, for y it's y/2-1, for 2x it's 4x+2, and for x+3 it's 2x+8

1. 2x+2

2. y/2-1

3. 4x+2

4. 2x+8

Hope this helps :)

Tyrone wants to know how much wrapping paper is
needed to cover a box with the dimensions shown,
1 in
6 in
1 in
3 in 1 in 11n
3 in
1 in
3 in
What is the surface area of the box?
A. 48 square inches
B. 27 square inches
O C. 18 square inches
D. 54 square inches

Please help quick! :)

Answers

Answer:18

Step-by-step explanation:

heyyyy does anyone know the answer please help me!!!!!

Answers

Answer:

B) x² + 5x + 19

Step-by-step explanation:

(2x² + 7x + 10) - (x² + 2x - 9)

==> remove parenthesis and apply negative sign

2x² + 7x + 10 - x² - 2x + 9

==> combine like terms

x² + 5x + 19

the answer is B

Important Note:

Like terms are terms with the same variable and exponent. Eg. 5x³ and x³ are like terms because they both have a common variable x, and a power of 3.

Answer:

B)  [tex]x^2+5x+19[/tex]

Step-by-step explanation:

[tex](2x^2+7x+10)-(x^2+2x-9)[/tex]

[tex]\textsf{Apply rule}\:(a)=a:[/tex]

[tex]=2x^2+7x+10-(x^2+2x-9)[/tex]

[tex]\textsf{Apply distributive law}\:-(a+b)=-a-b\:\textsf{ and }\:-(a-b)=-a+b:[/tex]

[tex]= 2x^2+7x+10-x^2-2x+9[/tex]

Group like terms:

[tex]= 2x^2-x^2+7x-2x+10+9[/tex]

Combine like terms:

[tex]= x^2+5x+19[/tex]

Yael worked out at the gym for 2 hours. Her workout consisted of stretching for 21 minutes, jogging for 45 minutes, and lifting weights for the remaining amount of time. What percentage of Yael's workout was spent lifting weights?

Answers

Answer:

54

Step-by-step explanation:

Well you have 120 minutes at the gym

Minus 21 minutes for stretching

Minus Jogging for 45 minutes

120-66=54

So 54 minutes spent lifting

Name r 13 EUA 18. Find the measure of angle A Date Period A 16 139° B A= 13 20 19. Solve the triangle ABC with side lengths a = 14cm, b = 9cm, c = 6cm a = A= b = B= C= C =​

Answers

Answer:

A = 137°   a = 14 cm

B = 26°   b = 9 cm

C = 17°   c = 6 cm

Step-by-step explanation:

Cosine rule

[tex]c^2=a^2+b^2-2ab\cos (C)[/tex]

[tex]\implies C=\cos^{-1}\left(\dfrac{c^2-a^2-b^2}{-2ab}\right)[/tex]

where:

c is the side opposite angle Ca and b are the sides with C as the included angle.

Given:

a = 14 cmb = 9 cmc = 6 cm

[tex]\implies C=\cos^{-1}\left(\dfrac{6^2-14^2-9^2}{-2(14)(9)}\right)[/tex]

[tex]\implies C=\cos^{-1}\left(\dfrac{241}{252}\right)[/tex]

[tex]\implies C=16.99128694..\textdegree[/tex]

Sine Rule

[tex]\sf \dfrac{sinA}{a}=\dfrac{sinB}{b}=\dfrac{sinC}{c}[/tex]

(where A, B and C are the angles and a, b and c are the sides opposite the angles)

[tex]\sf \implies \dfrac{sinB}{9}=\dfrac{sin(16.991..)}{6}[/tex]

[tex]\sf \implies B=sin^{-1}\left(\dfrac{9sin(16.991..)}{6}\right)=25.99797699...\textdegree[/tex]

Sum of interior angles of a triangle = 180°

⇒ ∠A + ∠B + ∠C = 180°

⇒ ∠A = 180° - 25.997...°  - 16.9912...°

⇒ ∠A = 137.0107361...°

How do I do this answer

Answers

Answer: there is nothing here

Step-by-step explanation:

A train traveled 1/5 of the distance between two cities and 3/4 of an hour at this rate how many hours will it take the train to travel the entire distance between these 230

Answers

Answer:

15/4 or 3 3/4

Step-by-step explanation:

since 1/5 has 1 as a numerator,

5 x 3/4=

15/4

it will take about 3 hours and 45 minutes

One calculator is discounted by 30% and now costs $42
another is discounted by 25% and now costs $42 dollars as well
which calculator had the cheaper original price? How much cheaper?

Answers


X*0.3 = 42
X=42/0.3 = 140

X*0.25 = 42
X=42/0.25 = 168

168-140= 28

30% one by 28.


This angle cuts out
4
9
of the circle. Find the measure of the angle

Answers

Yes cause the passage is from the new correct one story

Need help with this question.

Answers

Answer:

D

Step-by-step explanation:

Hope this Helps!

What is halfway between 400,000 and 500,000?

Answers

Answer:

450,000

This is because 400,000 and 500,000 have no other numbers that could be the middle, so it has to be directly in-between both numbers.

__________________________________________________________

Questions related to this topic? Please ask me in the comments box.

Answer:

450,000

Step-by-step explanation:

500,000-400,000 = 100,000

100,000/2 = 50,000

400,000 + 50,000 = 450,000

Finding half of the value between 500,000 and 400,000 results in 50,000 and you can add that to the lesser value to get to the halfway point between the two numbers.

A school collects data to determine the favorite sport among seventh graders at middle school. Which sampling method produces an unbiased representative sample of the population?

Answers

Answer:

A random sample is meant to be an unbiased representation of the larger population.


The coordinate plane represents a map of a town. Each unit represents 1 mile.
A post office is located at (4-2). The town is considering constructing a library exactly 4 miles north or south of the post office
Plot a point that represents one of the locations the town is considering for the library
Drawing Tools Click on a tool to begin dowing Delete Undo
Select
Retet
Point

Answers

Answer:

(4, 2) or (4, -6)

Step-by-step explanation:

Going 4 miles north would move the point (4, -2) 4 units up. When done so, the point (4, 2) is reached.

Going 4 miles south would move the point (4, -2) 4 units down. When done so, the point (4, -6) is reached.

A graph is shown below for further conformation.

hope this helps!

What is the total amount Mrs. Harrison will pay back

Answers

Answer:

You have to give a reference or a picture or a number or something.

Step-by-step explanation:

We can't guess what the numbers are you have to state them.

Answer:

$654

No explanation! sorry!

A bag contains green and black counters.
1
-
4
of the counters are black
Write the ratio of green to black counters.

Answers

Answer:

3:1

Step-by-step explanation:

if 1/4 of the counters are black then it means the total counters are 4 and so there are 3 remaining and those become the green counters

The ratio of green to black counters is 3:1

What is the Ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given that A bag contains green and black counters, 1/4 of the counters are black.

Since, 1/4 is black counters therefore, 1 - 1/4 are green counters

So, there are 3/4 green counters

Ratio = (3/4)/(1/4) = 3/1  3:1

Hence, The ratio of green to black counters is 3:1

For more references on Ratio, click;

https://brainly.com/question/13419413

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12 people are waiting at a subway stop to get on the train. However, the train only has space for 9 people to board. How many different combinations of people can get on the train?


220

220


1,320

1,320


13,305,600

13,305,600


79,833,600

79,833,600

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Answers

ummm so please don’t report me but i need to answer 2 questions to be able to ask questions sorryyy

What two equivalent fractions for 8/8?

Answers

Answer:

2/2. and 4/4

Step-by-step explanation:

because 8/8 is 1 and 2/2 and 4/4 are both 1 .

do u mind giving me brainlest im trying to level up.

thank u

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