A toy maker wants to re-create the Wright Brothers 1903 airplane. The actual plane was 21 feet long. The toy maker wants to use a scale model of 3 feet = 2 inches. How long will the replica plane be?

Answers

Answer 1

Answer:

[tex]x = 14ft[/tex]

Step-by-step explanation:

Given

[tex]Actual\ Length = 21ft[/tex]

Model:

[tex]3\ ft = 2\ in[/tex]

Required

Determine the length of the replica

Represent the model as a ratio:

[tex]Ratio = 3\ in:2\ ft[/tex]

Convert to fraction

[tex]Ratio = \frac{3\ in}{2\ ft}[/tex]

Represent the actual lengths as a ratio

[tex]Ratio = 21\ ft : x[/tex]

Where x is the length of the replica

Convert to fraction

[tex]Ratio = \frac{21\ in}{x}[/tex]

Equate both ratios (because they are in proportion)

[tex]\frac{3\ in}{2\ ft} = \frac{21\ in}{x}[/tex]

[tex]\frac{3}{2\ ft} = \frac{21}{x}[/tex]

Cross Multiply:

[tex]3 * x = 21 * 2\ ft[/tex]

[tex]3x = 42\ ft[/tex]

Solve for x

[tex]x = \frac{42ft}{3}[/tex]

[tex]x = 14ft[/tex]

Hence, the length of the replica is 14ft


Related Questions

Naomi can make 20 tacos in 10 minutes. How many tacos can she make in 1 minute?

Answers

Answer:

2 tacos

Step-by-step explanation:

10 × 2 = 20

1 × 2 = 2

the perimeter of a rectangle is 78cm. Its shortest side has a length of 14cm. State the length of the longest side.

Answers

Answer:

Explanation: To find the width, multiply the length that you have been given by 2, and subtract the result from the perimeter. You now have the total length for the remaining 2 sides.

Step-by-step explanation:

Joy bought 288 small pieces of candy to share with her friends. She divided the candy into 18 bags. One of the bags will be shared by two people, Lupe and Conner. If Lupe and Conner get the same number of candy pieces, how many pieces do they each get?

Answers

Answer:

32

Step-by-step explanation:

You must divide 288 by 18 and then double the answer you get.

NEED A QUICK RESPONSE!!!
how many four digit perfect square palindromes are there?

Answers

Answer:

90

Step-by-step explanation:

.

please help ! I just wanna gts lol

Answers

Answer:

15y + 12

Step-by-step explanation:

[tex]\frac{3}{2}[/tex] (10y + 8) = [tex]\frac{3}{2}[/tex] × 10y + [tex]\frac{3}{2}[/tex] × 8

Expand the brackets.

[tex]\frac{3}{2}[/tex] × 10y + [tex]\frac{3}{2}[/tex] × 8 = 15y + 12

I know the answer it is 5y+12


An orange grove has 858 trees. There are 33 rows each with the same number of trees
Hon many trees are in each rows?


Answers

Answer:

26

Step-by-step explanation:

If each row has an equal number of trees, you would divide the total number of trees by the number of rows. 858/33 is 26

Answer:

26

Step-by-step explanation:

858 divided by 33 equals 26.

-1t+14=3t+10 what value of t makes this true?​

Answers

Answer:

1 makes this problem true

Step-by-step explanation:

-1t+14=3t+10

-1(1)+14 = 3(1)+10

-1 +14 =3+10 , 13=13

So 1 makes this problem true

(9×9)×{-5}÷2=.....please help​

Answers

Answer:

405/2

202 remainder 1

Step-by-step explanation:

pliz mark brainliest

Answer:

81×(-5)÷2

-202.5

-405 down 2 , -202 1down2

Step-by-step explanation:

did I got wrong? ?

Amelia collected 54 pieces of candy during Halloween. Of those 54 pieces, five-ninths had chocolate in them. Two-thirds of the ones that didn't have chocolate were gum. How many pieces of the 54 were gum? Show how you found your answer.





plz help me ​

Answers

[tex]\frac{5}{9}[/tex] of 54 are the ones which have chocolate , so we need to multiply the fraction by 54

[tex]\frac{5}{9} *54 =30[/tex]

Since 30 pieces of candy have chocolate, then 24 don't have it. [tex]\frac{2}{3}[/tex] of the last number are the ones which have gum, multiply [tex]\frac{2}{3}[/tex] by 24 to get the answer:

[tex]\frac{2}{3} *24=16[/tex]

The answer is : 16 pieces of candy have gum

PLEASE MARK ME AS BRAINLIEST

The number of pieces of gums are 16.

What is the fraction?

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Given that, Amelia collected 54 pieces of candy during Halloween.

Of those 54 pieces, five-ninths had chocolate in them.

Number of chocolates = 5/9 ×54

= 30

Remaining candies =54-30

= 24

Two-thirds of the ones that didn't have chocolate were gum.

Now, 2/3 ×24

= 16

Therefore, the number of pieces of gums are 16.

To learn more about the fraction visit:

brainly.com/question/1301963.

#SPJ2

Please help me with this question.​

Answers

Answer:

Area = 43.26

Step-by-step explanation:

There is a short way to do this.

Area = 1/2 s*t * Sin(R)

s = 14

t = 7

Area = 1/2 * 14 * 7 * Sin(62)

Area = 7 * 7 * sin(62)

Area = 49 * sin(62)

Area = 43.26

==================

There is another way you could do this.

Use the Cos law to find r

Then use Heron's formula to find the area. Trust me, you don't want to do that.

Doing the way I suggested gives 43.19. The difference is in what I did in the rounding. But I wouldn't want to type all the numbers.

(-3.2)(-1.72) Write your answer to the nearest tenth

Answers

Answer:

5.5

Step-by-step explanation:

Answer: actually 5.504 rounded to 5.5

Step-by-step explanation:

hey yall i need help with this 123456 x 98765 any help will be great thank you

Answers

Answer:

1219253925

Step-by-step explanation:

Calculator

Answer:

12193131840

Step-by-step explanation:

Factorise
a) (2+2) a) x2 -11x + 28

b) 6x2 -5x – 4

Answers

Answer:

6264

Step-by-step explanation:

(2+2)×2-11×+28 6×2

= 6264

Answer:

I...what kinda question is dis

6th Grade Math Homework!
Will give brainiest!
15 Points!!
Please solve
ONLY ANSWER IF YOU HAVE THE ANSWERS
Don't need to explain
Keep in mind there are 2 pictures!
PLEASE HELP!! AND FAST!!

Answers

Answer:

The answer to #6 is 255

The answer to #7 is the mint milkshake is thicker

The answer to #8 is A is 12 and B is 18

The answer to #9 is A is 33 and B is 15

Missing values:

1. 1:7 , 3:21, 18:126

2. 20:12 , 10/3:2 , 8 1/3:5

3. 42:21 , 6:3 , 48:24

4. 4:10 , 8:20 , 16:40

5. 36:32  18:16

Step-by-step explanation:

#2: The first ratio is shown, which is 5:3.  Meaning, that the bottom number (cakes) is multiplied by 5/3 in order to get the top number (pies).   We can apply that to the ratio with 12 cakes, 12 multiplied by 5/3 is 20.  The next ratio involved 10/3 pies.  Since that is the "top" number (see chart), 10/3 need to be multiplied by 3/5 instead of 5/3.  By doing that, the number of cakes is 2.  

#7: The ratio of milk to ice cream in the mint milkshake is 1.25:4

The ratio of milk to ice cream in the strawberry milkshake is 1.75:5

When the ratios are divided, the quotient for the mint milkshake (0.3125) is LESS than the quotient for the strawberry milkshake (0.35).  This means that there is less milk and more ice cream (ratio-wise) in the mint one.

Number 1 : adults to children 2:14 , 1:7, 3:21, 18:126
Number 2 :

1st person to answer will receive brainliest!!!!

Answers

Answer:

ok

Step-by-step explanation:

:D

HELP MEEE!
7th grade mathhhh

Answers

Answer: Its C

Step-by-step explanation:

Since 2/3 and 1/5 are smaller than 1 but bigger than 0 they will be in between 0 and 1.

2/3 is closer to 1 and 1/5 is closer to 0

8/11 multiplied by (3/9 - 1/6) divided by 1 5/9
step by step please

Answers

Answer: 6/11

Step-by-step explanation: hello, i hope the screenshot below answers your question

Answer:

0.0779

Step-by-step explanation:

Parentheses first!  3/9 - 1/6 = 6/18 - 3/18 = 3/18

(8/11 × 3/18) ÷ 1 5/9 = 0.0779

Natasha's Bikes rents bikes for $16 plus $4 per hour. Micaela paid $36 to rent a bike. For how many hours (h) did she rent the bike

Answers

Answer:

Micaela rented the bike for 5 hours.

Step-by-step explanation:

Micaela paid $36 to rent a bike in Natasha's Bikes, where they charge a fixed fee of $16 plus $4 per hour.

We need to find the number of hours Micaela rented the bike.

From the $36 she paid, $16 was used to pay the fixed fee. Thus, the difference $36-$16=$20 was used to pay for the hours of rent.

Since the rate per hour is $4, then the number of hours is $20/$4 = 5 hours.

Micaela rented the bike for 5 hours.

12y - 15x + 6 please hurry

Answers

Answer: negative 8 or -8

Step-by-step explanation:

would include explanation but it would take a while hope it helped and may i have brainliest please?!

What is the value of $ + 2x?, when x = 3?

Answers

6 I’m pretty sure lol

Answer: 6

Step-by-step explanation:

+ 2x=2(x)=2(3)

a student purchased 7 binders for a total of $8.61. Write an equation that can be used to find the cost of each binder,n, in dollars. What is the cost ,in dollars, of each binder?

Answers

Answer:

$1.23

Step-by-step explanation:

divide 8.61 by 7 binders to get the final answer of $1.23

How do you write 21/30 as a percent?
Please show how to do it :D

Answers

it would be 0.7 lol :)

Answer:

70 %

Step-by-step explanation:

= 21/30 = 0.7

= 0.7 * 100

= 70%

A race car accelerates on a straight track from 0 to 100 km/h in 6 s. Another race car accelerates from 0 to 100 km/h in 5 s. Compare the velocities and accelerations of the cars during the race.

Answers

MAYBE TRY the answer100

Can someone help me please

Answers

Answer:

A

Step-by-step explanation:

When 5 goldfish were added, the cost increased by $1.50, so we can divide 150/5 to find the increase of cost from one goldfish which is 30 cents.

reflect across the y axis

Answers

Answer:

See below

Step-by-step explanation:

Plot these points and that will be the reflection:

S is going to equal (3,1)

R is going to equal (-3,3)

T is going to equal (-1,-5)

Q is going to equal (-4,-2)

Let me know if you need help plotting points too.

Increase £16470.45 by 3.5% by 2DP

Answers

Answer:

17,046.92 i think

Step-by-step explanation:

Chad has a rope that is 8 yards long. How many pieces of rope measuring 4/7 of a yard can he divide his rope into?
A. 7
B. 28
C. 21
D. 14

Answers

Answer:

B

Step-by-step explanation:

Your answer is 28 because 4/7 turn it to a decimal and then divide 8 from it and that is how you get your answer 28.

Hope this helps:)

Pls mark brainlist

Given mn, find the value of x.
108

Answers

Answer:

72 degrees

Step-by-step explanation:

Referencing off of line t being a straight line, a straight line is 180 degrees. If you subtract 108 from 180, you would get 72. Since this intersecting line is going through 2 paralel lines, the 2 groupings of angles reflect each other.

Select Correct Answer From Drop Down Menu

Answers

Answer:

Solution  (-3, -5)

systems or linear equations

y = x - 2

y = 3x + 4

Step-by-step explanation:

-2,-2 ( 0,4

Help me please ! take your time and try your best thank you!

Answers

Answer:

C

Step-by-step explanation:

to find how much hours dan played the equation would be:

d = 2s - 4

to find the total:

s + d = 17

hope this helps :)

Answer: ABOVE

Explanation: This is what you did to countless others

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