Describe a situation that could be modeled with the ratio 4: 1.

Answers

Answer 1

Answer:

Stacey wanted to build a model airplane to display in her room. The scale ratio she planned to use was for every 4 feet the airplane was, the model airplane would be 1 inch. If the plane was 250 feet long, how long would the model airplane be?

Here, I used the ratio 4 : 1 as a scale in the problem.


Related Questions

Find an equation of the plane with x-intercept a, y-intercept b, and z-intercept c. What is the distance between the origin and the plane?

Answers

Answer:

The equation is:

(1/a)x + (1/b)y + (1/c)z = 1

Step-by-step explanation:

The direction vector between the points (a, 0, 0) and (0, b, 0) is given as:

<0 - a, b - 0, 0 - 0>

<-a, b, 0> .....................(1)

The direction vector between (0, 0, c) and (0, b, 0) is given as:

<0 - 0, b - 0, 0 - c>

= <0, b, -c> .....................(2)

To obtain the direction vector that is normal to the surface of the plane, we take the cross product of (1) and (2).

Doing this, we have:

<-a, b, 0> × <0, b, -c> = <-bc, -ac, -ab>

To find the scalar equation of the plane we can use any of the points that we know. Using (0, b, 0), we have:

(-bc)x + (-ac)y + (-ab)z = (-bc)0 + (-ac)b + (-ab)0

(bc)x + (ac)y + (ab)z = (ac)b

Dividing both sides by abc, we have:

(1/a)x + (1/b)y + (1/c)z = 1

We will call π,  the plane with points P, Q, R  ( the intercepts )

The solution is:

π :  -bc×x + ac×y -ab×z - bac = 0

c) d =   | bac|/√ ( -bc)² + (-ac)² + ( -ab)²

The intercepts  P Q R are three points of the plane, according to that

P ( 0, b, 0 ) intercept with y-axis

Q ( a, 0, 0 ) intercept with x-axis

R ( 0, 0, c ) intercept with  z-axis

We will find the vectors PQ  and  PR both are on the plane

PQ  = [ a, 0, 0 ] - [ 0, b, 0 ]         ⇒     PQ = ( a , -b, 0 )

PR  =  [ 0, 0, c ] - [ 0, b, 0 ]          ⇒     PR = ( 0, -b  c )

The vectorial product of these two vector will give us, one normal vector to the plane.

                        i        j         k

PQ * PR  =     a      -b        0    =   i (-bc)  - j ( ac - 0 ) + k ( -ab - 0)

                       0      -b        c

PQ * PR  = [ -bc,  -ac,  -ab ]

we call this vector n =  [ -bc, -ac, -ab ]

Let´s now find a vector between P,  and a general point T ( x , y , z ) on the plane.

PT = [ x, y, z ] - [ 0, b, 0 ]    ⇒  PT = [ x-0 , y - b , z - 0 ]

PT = [ x, y-b, z ]

Vector PT is perpendicular to vector n, then their dot product must be 0

Then:

PT × n = 0

[ x, y-b, z ] ×   [ -bc, -ac, -ab ] = 0

x × (-bc) + ( y - b )× (ac) + z × (- ab) = 0

-bc×x + ac×y -bac - ab×z = 0

-bc×x + ac×y -ab×z = bac         (1)

Finally,  we got the implicit equation for plane π as:

π :  -bc×x + ac×y -ab×z - bac

c) The distance (d) between the plane and the origin is:

d = | D | / | n |

| n | = √ ( -bc)² + (-ac)² + ( -ab)²

|D| = | bac|     the right side of the equation (1)

Then

d =   | bac|/√ ( -bc)² + (-ac)² + ( -ab)²

Related Link :https://brainly.com/question/3914382

Ava bought some pens for $ 2 each and some pencils for $ 1 each. She bought 3 more pens than pencils and spent a total of $ 12. How many pencils did Ava buy?

Answers

Answer:

Step-by-step explanation:

price of 1 pen= $ 2

price of 1 pencil= $1

total money spent= $12

Let the number of pen be a and number of pencil be b.

 2 a + b = 12   ----------------Equation 1

We have, she bought 3 more pens than pencils

  a - b = 3   ------------------  Equation 2

 Equation 1 +Equation 2,  

   2 a + b +  a - b = 12 + 3

                     3a = 15

                     a = 5

 Substituting in  equation

           5 - b = 3

               b = 2

 Number pencils Ava bought = 2

Let X1, X2 and X3 be three independent random variables that are uniformly distributed between 50 and 100.
A) Find the probability that the minimum of the three is between 75 and 90.
B) Find the probability that the second smallest of the three is between 75 and 90.

Answers

Answer:

a) the probability that the minimum of the three is between 75 and 90 is 0.00072

b) the probability that the second smallest of the three is between 75 and 90 is 0.396

Step-by-step explanation:

Given that;

fx(x) = { 1/5 ; 50 < x < 100

              0, otherwise}

Fx(x) = { x-50 / 50 ; 50 < x < 100

                          1 ;   x > 100

a)

n = 3

F(1) (x) = nf(x) ( 1-F(x)^n-1

= 3 × 1/50 ( 1 - ((x-50)/50)²

= 3/50 (( 100 - x)/50)²

=3/50³ ( 100 - x)²

Therefore P ( 75 < (x) < 90) =  ⁹⁰∫₇₅ 3/50³ ( 100 - x)² dx

= 3/50³ [ -2 (100 - x ]₇₅⁹⁰

= (3 ( -20 + 50)) / 50₃

= 9 / 12500 = 0.00072

b)

f(k) (x) = nf(x)  ( ⁿ⁻¹_k₋ ₁) ( F(x) )^k-1 ; ( 1 - F(x) )^n-k

Now for n = 3, k = 2

f(2) (x) = 3f(x) × 2 × (x-50 / 50) ( 1 - (x-50 / 50))

= 6 × 1/50 × ( x-50 / 50) ( 100-x / 50)

= 6/50³ ( 150x - x² - 5000 )

therefore

P( 75 < x2 < 90 ) = 6/50³ ⁹⁰∫₇₅ ( 150x - x² - 5000 ) dx

= 99 / 250 = 0.396

Achemistry student atrwered 81 questions correctly on a 90-question test. What
percent did the INCORRECT (WRONG)?

Answers

Answer:

The student got 90% correct and 10% incorrect.

Step-by-step explanation:

Find the product and write the result in standard form 6i(7-6i)

Answers

6i(7-6i)

42i-36i^2

hope it helps

Answer:

36+42i

Step-by-step explanation:

6i(7-6i)

=42i-[tex]36i^2[/tex]

=42i-(36x -1)

=42i+36

=36+42i

Given f(x) = x^2 - 2x - 15 find the average rate of change over the interval [0, 5].

Answers

Answer:

Average Rate of Change : 3

Step-by-step explanation:

" Remember that the average rate of change of function f say, on interval [a,b] would be f(b) - f(a) / b - a. Similarly we can solve for the average rate of this function. "

f(5) = x² - 2x - 15 = 5² - 2(5) - 15 = 25 - 10 - 15 = 0,

f(0) = 0² - 2(0) - 15 = 0 - 0 - 15 = - 15

And the average rate of change will be,

f(5) - f(0) / 5 - 0 = 0 - ( - 15 ) / 5 - 0

= 0 + 15 / 5 = 15 / 5 = 3

The average rate of change over the interval [0, 5] is hence 3.

a softball league has 13 teams, if every team must play every other team in the first round of league play, how many games must be scheduled

Answers

Answer:

78 games

Step-by-step explanation:

Think of it this way. Let's name the teams Team 1 through Team 13. Team 1 needs to have 12 games to play each other team. Once those are scheduled, Team 2 needs to have 11 games scheduled to play all the other teams (remember their game against Team 1 was already scheduled). Team 3 needs to have 10 games scheduled to play all the other teams (remember their games against Team 1 and Team 2 have already been scheduled). This patten continues until you schedule a single game between Team 12 and Team 13. So the total number of games that need to be scheduled are:

12 + 11 + 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 =  78

I don't know if the concept of triangular numbers has been touched on in your class, but if so, there is a much simpler way to calculate this using the triangular number formula with n = 12. The formula is:

T = (n * (n + 1)) / 2

So in this case:

(12 * (12 + 1)) / 2 = (12 * 13) / 2 = 6 * 13 = 78

The three bulls practically destroyed the china shop. Bull 1 broke the fewest number of plates. Bull 2 broke 6 more than bull 1. Bull 3 was the worst of all. He broke 4 more plates than bull 2. If all 3 broke a total of 58 plates, how many did bull 1 break?

Answers

Answer: 14 plates

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

Work Shown:

x = number of plates Bull 1 broke

y = number of plates Bull 2 broke

z = number of plates Bull 3 broke

y = x+6 because the second bull broke 6 more plates compared to the first

z = y+4 since the third bull broke 4 more plates compared to the second

They all broke a combined 58 plates, meaning,

x+y+z = 58

Replace z with y+4 to get

x+y+z = 58

x+y+y+4 = 58

x+2y+4 = 58

Then replace y with x+6

x+2y+4 = 58

x+2(x+6)+4 = 58

From here solve for x

x+2(x+6)+4 = 58

x+2x+12+4 = 58

3x+16 = 58

3x = 58-16

3x = 42

x = 42/3

x = 14

Bull 1 broke 14 plates

---------------------------

If you want to find out how many plates the other bulls broke, then use that x value to find y and z

y = x+6 = 14+6 = 20

Bull 2 broke 20 plates

z = y+4 = 20+4 = 24

Bull 3 broke 24 plates

Overall, they broke 14+20+24 = 58 plates in total, which matches the total given in the instructions. The answer has been confirmed.

Answer:

B1 = 14 plates broken

Step-by-step explanation:

Method 1

We start with (58 - 6- 4) = (58 - 10) = 48

= 48                 : We prove 6+4 = 10

To find who has the fewest plates we can now try again

with 48-6 = 42   or 48-4 = 44

42/3 = 14

We add 6  = 20

We add 4 = 24

We get 14+ 20 +24 = 58 broken plates.

So we know starting with -6 gets us our answer and our order correct.

Method 2 ; We deduct the difference from the total to find B1 distribution

B1 = 14 so 58-6  is 52 (-10)

We divide 42/3

To get 14

Conclusion;

We find method 1 shows us  

B1 = 48  B2 = 48 (+6) =54  B3 = 54(+4) = 58

And try now for (14 + 14 + 6 ) + ( 22 + 4)

= 14  + 20 + 24 = 58 broken plates.

Find the product 3 − 9 × 3

Answers

Answer:

24

Step-by-step explanation:

The answer is 24 because you have to use PEMDAS which is parenthesis, exponents, multiply and divide left to right (which means whichever one is first), lastly add and subtract left to right.

Match each expression to its exponential form.

Exponent. | Solution

(3+2) x 5. 125

5^3. 5^2

10^2/2. 50

Answers

(3+2)x5 is 5^2 you are welcome have a nice day

Step-by-step explanation:

5³ = 5×5×5 =125

10²/2 =100/2 =50

(3+2) ×5 = 5×5 = 25

Evaluate the expression (21 + 3) · 6 - 9

Answers

Answer:

135.

Step-by-step explanation:

(21 + 3) · 6 - 9

*21 + 3 = 24

24 · 6 - 9

**24 · 6 = 144

144 - 9

***144 - 9 = 135

Use compatable numbers, then divide. 448 ÷ 8 a. 450 ÷ 10 = 45 b. 500 ÷ 10 = 50

Answers

then divide 448 by 2335 B + 10

Answer: B

Step-by-step explanation: I think thats right

What is the correct equation for a line that has a slope of 1/3, and a y intercept of 4

Answers

Answer:

y=1/3x+4

Step-by-step explanation:

It should be correct as the gradient = 1/3

and the y-intercept = C

= +4

what is the definition of addition

Answers

Answer:

the difinition of addition is adding two things together

Step-by-step explanation:

Answer: Hi!

The definition of addition is when you add two or more more numbers (positive or negative.)

Hope this helps!

Which of the following statements are true for images formed by spherical mirrors?

A. A concave mirror always produces a real image of an object placed in front of it.
B. A convex mirror always produces a virtual image of an object placed in front of it.
C. A concave mirror always produces an image that is the same size as the object.
D. A convex mirror always produces an upright image of an object placed in front of it.
E. A convex mirror always produces an image that is the same size as the object.
F. A concave mirror always produces an inverted image on an object placed in front of it.

Answers

Answer:

B and D

Step-by-step explanation:

A convex mirror ALWAYS produces a virtual and upright image.

The true statements are:

B. A convex mirror always produces a virtual image of an object placed in front of it. D. A convex mirror always produces an upright image of an object placed in front of itF. A concave mirror always produces an inverted image on an object placed in front of it.

A spherical mirror is a mirror with curved surface; it can either be convex or concave.

Convex mirrors

The image of a convex mirror is a virtual and an upright/erect image

Concave mirrors

The image of a concave mirror can be real or virtual, but the image is always inverted.

The above highlights mean that options (b), (d) and (f) are correct.

Read more about spherical mirrors at:

https://brainly.com/question/13068249

PLEASE I NEED ASAP, I WILL GIVE BRAINLYEST, 35 POINTS!!!
Evaluate this expression then round your answer to the two decimal places

7^4/7^6

Answers

7^4/7^6
2401/117649
0.02040816
The answer is:0.020408

Translate into a variable expression.
the square of the difference between a number n and fifty

Answers

Answer:

f(n)= (n-50)²

Step-by-step explanation:

The difference between a number n and fifty:

n - 50

Square of this difference:

(n-50)²

It would look like this as variable expression:

f(n)= (n-50)²

Use and accessibility of internet on mobile phone

Answers

Answer:

Through a cellular service provider, the phone connects to the Internet through data transfer the same way a PC does, but with a wireless link. ... Cell phones have an in-built antenna which is used to send packets of digital information back and forth with cell-phone towers via radio waves. so the use of the internet it allows u to download apps,visit sites, (ect.)

Hope this helps_ /(TwT)\_

Please help! I’ll mark you as brainliest if correct!!!

Answers

Answer:

Brainleist!

Step-by-step explanation:

7 dollars

6+3 = 9 dollars spent

he will have -2 dollars

this is not possible but this is a fake made up problem so it is -2

Answer:

He'd have nothing because he can't afford it. So if he wants to eat at all he can have a sandwich, which will bring him down to a dollar

Step-by-step explanation:

-136=8(6x-5) can someone please help ?

Answers

Answer:

[tex]\Huge \boxed{x=-2}[/tex]

Step-by-step explanation:

[tex]-136=8(6x-5)[/tex]

Dividing both sides by 8.

[tex]-17=6x-5[/tex]

Adding 5 to both sides.

[tex]-12=6x[/tex]

Dividing both sides by 6.

[tex]-2=x[/tex]

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = - 2}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ - 136 = 8(6x - 5)}[/tex]

Distribute 8 through the parentheses

⇒[tex] \sf{ - 136 = 48x - 40}[/tex]

Swap the sides of the equation

⇒[tex] \sf{48x - 40 = - 136}[/tex]

Move 40 to right hand side and change it's sign

⇒[tex] \sf{48x = - 136 + 40}[/tex]

Calculate

⇒[tex] \sf{48x = - 96}[/tex]

Divide both sides of the equation by 48

⇒[tex] \sf{ \frac{48x}{48} = \frac{ - 96}{48} }[/tex]

⇒Calculate

[tex] \sf{x = - 2}[/tex]

Hope I helped!

Best regards!!

24 13/1,000 as a decimal number

Answers

Answer:

24.013.

Step-by-step explanation:

Simplify: 24 13/1,000 = 24013/1000. Than just use a calculator to make it into a decimal.

desperate pls answer!!

Answers

Answer:

Step-by-step explanation:

a)  Since the x's of the original equation are equal to the y's of the inverse equation, and vice versa, you can simply put the x-values of the table for the inverse equation into the y-values of the original equation.  The same principle applies to the inverse equation.  The table should look like the tables attached.

b)  The x's and y's in the points of the inverse are switched.  The points will be

(10, 27)  -->  (27, 10)

(3.5, 14)  -->  (14, 3.5)

(a, b)  -->  (b, a)

(x, y)  -->  (y, x)

How to solve 1/2(x-3)=9 linear equation

Answers

Answer:

[tex] \boxed{ \bold{ \sf{ \boxed{x = 21}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ \frac{1}{2} (x - 3) = 9}[/tex]

Distribute 1/2 through the parentheses

⇒[tex] \sf{ \frac{1}{2} x - \frac{1}{2} \times 3 = 9}[/tex]

Multiply the fractions

⇒[tex] \sf{ \frac{1}{2} x - \frac{1 \times 3}{2 \times 1} = 9}[/tex]

⇒[tex] \sf{ \frac{1}{2} x - \frac{3}{2} = 9}[/tex]

While performing the addition or subtraction of like fractions, you just have to add or subtract the numerator respectively in which the denominator is retained same.

⇒[tex] \sf{ \frac{x - 3}{2} = 9}[/tex]

Apply cross product property

⇒[tex] \sf{x - 3 = 9 \times 2}[/tex]

Multiply the numbers

⇒[tex] \sf{x - 3 = 18}[/tex]

Move 3 to right hand side and change it's sign

⇒[tex] \sf{x = 18 + 3}[/tex]

Add the numbers

⇒[tex] \sf{x = 21}[/tex]

Hope I helped!

Best regards!!

Isiah knows 1/4 is written .025 as a decimal how can you find a decimal for 5/4 without division​

Answers

Answer:

0.25 x 5 = 1.25

This will not require any division. So, this is the answer. Hope this helps!

kara needs to fence her yard. How many feet of fencing is needed ?​

Answers

Answer:

500 ft

Step-by-step explanation:

Perimeter: The total border of the outside of a given shape

Step 1: Find missing length

100 - 80 = 20 ft

Step 2: Add all together

100 + 150 + 80 + 85 + 65 + 20 = 500 ft

So we would need 500 ft of fence to border her yard completely.

Plz help fast
Thank you

Answers

Answer:

1.25 is largest, 1.1 is second, 0.924 third, 0.61 fourth, 0.5 fifth, 0.12 sixth.

Step-by-step explanation:

I will edit this post and explain later because you said you need the answer fast. :)

2) We are filling the storage room with packages of toilet paper. The packages measure 18
inches x 13 inches x 9 inches, the warehouse measures 12 feet by 20 feet by 8 feet. Inside
each box are 9 rolls of toilet paper. How many rolls are in this warehouse?

Answers

Answer:

14,175

Step-by-step explanation:

since measurement of packages are used in inches we will convert warehouse dimension in inches to keep the unit same.

1 foot = 12 inch

dimension of room

12 feet by 20 feet by 8 feet

dimension of room in inches

12 feet = 12*12 inches = 144 inches

20 feet = 12*20 inches = 240 inches

8 feet = 12*8 inches = 96 inches

volume of cube = length *width *height

dimension of room = 144 inches * 240 inches * 96 inches

                        = 3,317,760 cubic inches

volume of 1 package = 18 inches * 13 inches * 9 inches = 2,106 cubic inches.

let there be n packages in the room

volume of n package = n*volume of 1 package = 2,106*n cubic inches.

This volume of n packages should be equal to volume of warehouse

2,106*n= 3,317,760

=> n= 3,317,760/2,106 = 1,575.38

since package cannot be in fraction and value after decimal is less than 5 we will round the value to  1,575.

Thus, no of packages is 1,575

1 package has 9 rolls

1,575 package has 9*1575 rolls

thus, no of rolls in the warehouse = 14,175

The state of Mississippi only has 60% seatbelt use. Suppose you randomly select a resident from Mississippi and note their seatbelt use. Call this random variable Y. How does SD(X) compare with SD(Y)

Answers

Answer:

Population and Sample

Step-by-step explanation:

The state of Mississippi is the population

The randomly selected resident is the sample

Population Belt Use: 60%

Population No-belt Use: 40%

Sample (selected resident's) Seat-belt Use = Y

Note: the question doesn't state or ask whether Y is positive (use of seat belt) or negative (no use of seat belt).

How does the standard deviation of X compare with the standard deviation of Y?

X is the population standard deviation of seat belt use from the mean value of seat belt use WHILE Y is the sample standard deviation of seat belt use from the mean value (of all persons in the sample) of seat belt use.

Solve the equation for the specified variable.
U = Y(b + R), for b

Answers

Answer:

b= u/y -r

Step-by-step explanation:

What is the equation of the line given the two points
(-1,-6) and (-3, -8)​

Answers

Answer:

y=x-5

Step-by-step explanation:

First we need to find the slope.

(-8+6)/(-3+1)

-2/-2

So the slope is 1

Using -1,-6 because we know the slope is 1, if we add 1 to x, we add 1 to y

So the y intercept is 0,-5

The equation is y=x-5

First find the gradient

[tex] \frac{y2 - y1}{x2 - x1} = \frac{( - 8) - ( - 6)}{( - 3) - ( - 1)} = \frac{5}{2} [/tex]

then using the formula y-y1 = m(x-x1)

y - (-6) = 5/2(x-(-1))

y + 6 = 5/2 (x+1)

2y + 12 = 5x + 5

2y - 5x = 5-12

2y - 5x = -7

5x - 2y = 7

so equation of the line is 5x -2y = 7

Sorry if im wrong

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