Darius designed a billboard. The
billboard is 480 inches long by 144
inches high. Darius uses a
computer to design the billboard.
Determine the height for the
computer design that maintains
the same scale and has a length of
12 inches.

Answers

Answer 1
We know that both figures are similar, as they are proportionate to each other. In other words, similar figures keep their shape because their angles are still congruent, but their dimensions are proportional. When dealing with similar figures, the constant “k” is used, which k is the constant of proportionality. So, k=scale factor.

To start, because the figures are proportional, we need to setup some proportions:

480/12=144/x

We do this to divide the length of the original figure by 12, and we set them equal because their quotient should remain constant or the same. Now, we use the cross product property to solve:

480•x=144•12

480x=1728

x=3.6

Therefore, substitute x back into the proportional equation:

480/12=144/3.6

40=40

So, the height is 3.6in. This means the new figure is 1/40 of the original.

Related Questions

Please help due tonight.

Answers

Answer:  Choice C

This is the result of subtracting 3x from both sides. The inequality sign does not flip. It only flips if we multiply or divide both sides by a negative number.

How many two-ninths are in eight-ninths?

Answers

Answer:

4

Step-by-step explanation:

2/9 + 2/9 + 2/9 + 2/9 =  8/9

4x-18=x-3 will give ten points for answer asap

Answers

Answer: x=5

Good luck :)

√21 √9/√63 indadicate opretion and simplifying

Answers

Sorry in my keyboard there is no symbol for squareroot

a market woman bought n eggs at the rate of 12 eggs at €60. 8 of the eggs were broken so she sold the remaining at the rate of 4 eggs at €24 and made a profit of €12. how many eggs did she buy.​

Answers

Answer:26 eggs

Step-by-step explanation: yes

The market woman bought 60 eggs.

The market woman bought n eggs at the rate of 12 eggs for €60.

So, the cost price of each egg is given by:

Cost price per egg = €60 / 12 = €5

The total cost of n eggs is the cost price per egg multiplied by the number of eggs (n):

Total cost = €5 * n = 5n

After buying n eggs, 8 of them were broken.

So, the market woman had (n - 8) eggs left to sell.

She sold the remaining eggs at the rate of 4 eggs for €24.

The selling price of each egg is given by:

Selling price per egg = €24 / 4 = €6

The total selling price of the remaining (n - 8) eggs is the selling price per egg multiplied by the number of remaining eggs (n - 8):

Total selling price = €6 * (n - 8) = 6n - 48

The profit is the difference between the total selling price and the total cost:

Profit = Total selling price - Total cost

Since the problem states that the market woman made a profit of €12, we can set up the equation:

6n - 48 - 5n = 12

Solve for n.

Combine like terms:

n - 48 = 12

Add 48 to both sides:

n = 60

So, the market woman bought 60 eggs.

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mcgraw hill determine whether each relation is a function

Answers

Any relation that does not have two same x, y does not matter in this case but no two same c values

Alisa has $2.00 in change. If she has 7 quarters, what is the maximum number of dimes she can have?

Answers

2 dimes is the correct answer

7 quarters = 1.75
2 dimes= 0.20
1.75 + 0.20= 1.95
She has 2.00$
3 dimes would be 2.05 (Incorrect)
Therefore 2 dimes is the Answer

Represent the following sentence as an algebraic expression, where "a number" is the letter x. You do not need to simplify.

The quotient of 4 and the difference of 7 and a number.

Answers

Answer:

4/x+x-7

Step-by-step explanation:

1. 4/x

2. x-7

3. adding the two steps

Which segment (s) are perpendicular to AB?

Answers

Answer:

B) Segment CD only

Step-by-step explanation:

In the plane, there is exactly one perpendicular line to a line from a particular point.

We can see CD is marked as perpendicular segment and there are no more such possible segments.

Correct choice is B.

Answer:

b) Segment CD only

Step-by-step explanation:

Now we have to,

→ find the segment perpendicular to AB.

The segment will be,

→ CD (only)

* As it is 90° from the segment AB, we can say that it is perpendicular to AB.

Hence, option (b) is correct answer.

The list of ingredients for chocolate
brownies given at right will make 16
brownies.
Use the list to decide how much of
each ingredient is needed to make 6
brownies.
2
3
5 ounces unsweetened chocolate
1/2 cups sugar
cup butter
2 teaspoons vanilla
2 eggs
1 cup flour
www
cup(s) of butter is needed.
(Simplify your answer. Type an integer, simplified fraction, or mixed number.)
ounce(s) of chocolate are needed
(Simplify your answer. Type an integer, simplified fraction, or mixed number.)

Answers

The following ingredients are needed to make 6 brownies:

Cups of butter needed  is 1/4 cups

Ounces of chocolate needed is 1 7/8

Cups of sugar needed is 9/16

Ounces of vanilla needed is 3/4

How much ingredients are needed?

Integers are whole numbers. It is a number without a fraction or decimal component. Integers can either be positive, negative or zero. An example of an integer is -1.

A fraction is a quantity that is not a whole number. In maths, a fraction usually has a numerator and a denominator. The numerator is the number above. While the denominator is the number below

A mixed number is a number that has a whole number and a proper fraction. A proper fraction is a fraction is which the numerator is less than the denominator.

Cups of butter needed = (2/3 x 6) / 16

4 / 16 = 1/4 cups

Ounces of chocolate needed = (5 x 6) / 16

= 30 / 16 = 1 14/16 = 1 7/8

Cups of sugar needed = ( 1 1/2 x 6) / 16

(3/2 x 6) / 16 = 9/16

Ounces of vanilla needed = ( 2 x 6) / 16

= 12 / 16 = 3/4

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There are 55 stickers in each box how many stickers are in seven boxes

Answers

Answer: 385 stickers

Step-by-step explanation:

7 boxes * 55 stickers/1 box=

7 * 55/1=

7*55=385 stickers

Answer is 385

55 x 7 = 385

finding the rise and the run on the graph

Answers

Answer:

rise = 4, run = 5. The slope would be 4/5

Step-by-step explanation:

You go up by four then right by 5

Fine the least common denominator for these fractions. Enter your answer in the space provided. 1/2 and 5/6

Answers

Answer: The LCD is 2

Step-by-step explanation: I think that because 2, 4, 6 but I'm not sure. (please don't get mad if I'm wrong)

Answer:

6.

Step-by-step explanation:

Factorise 2 and 6:

2 = 2

6 = 2*3

In calculating the LCM we only use the 2 once, as it is duplicated in the 2 lists of factors.

The LCM = 2 * 3 = 6.

(Note LCM = LCD.)

coin $a$ is flipped three times and coin $b$ is flipped four times. what is the probability that the number of heads obtained from flipping the two fair coins is the same?

Answers

The probability that the number of heads obtained from flipping the two fair coins is the same is 35/128.

Probability:

Probability means the fraction of favorable outcome and the total number of outcomes.

So it can be written as,

Probability = Favorable outcomes / Total outcomes

Given,

The coin a is flipped three times and coin b is flipped four times.

Here we need to find the probability that the number of heads obtained from flipping the two fair coins is the same.

We know that,

There are 4 ways that the same number of heads will be obtained;

0, 1, 2, or 3 heads.

The probability of both getting 0 heads is

[tex]$\left(\frac12\right)^3{3\choose0}\left(\frac12\right)^4{4\choose0}=\frac1{128}$[/tex]

Probability of getting 1 head,

[tex]$\left(\frac12\right)^3{3\choose1}\left(\frac12\right)^4{4\choose1}=\frac{12}{128}$[/tex]

Probability of getting 2 heads is,

[tex]$\left(\frac12\right)^3{3\choose2}\left(\frac12\right)^4{4\choose2}=\frac{18}{128}$[/tex]

And the probability of getting 3 heads is,

[tex]$\left(\frac12\right)^3{3\choose3}\left(\frac12\right)^4{4\choose3}=\frac{4}{128}$[/tex]

Therefore, the probability that the number of heads obtained from flipping the two fair coins is the same is,

=> (1/128) + (12/128) + (18/128) + (4/128)

=> 35/128.

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The plan for a concrete birdbath is shown
below. The bowl is a cylinder with a depth
of 10 cm. If the bowl has a diameter of
30 cm, what is the exposed surface area
of the birdbath, including the pillar and
pedestal?

Answers

Answer:

Step-by-step explanation

10 cm

Answer: unknwon

Step-by-step explanation:

because height of pillar not given

966500 in scientific notation

Answers

9.665 x 10^5

966500.0

Move the dot to the right 5 times

An airplane that can travel 450 mph in still air, encounters a 30-mph headwind. How long will it take the plane to travel 1050 miles into the wind?

Answers

The time plane will take to travel 1050 miles into the wind is 2.5 hours.

What is speed?

Speed is defined as the rate of change of position in unit time.

Mathematically,

Speed = Distance/Time

Now given that,

Speed of airplane in still air = 450 mph

Speed of wind = 30 mph

Distance to travel = 1050 miles

So, Actual speed of wind = 450 mph - 30 mph

Actual speed of wind = 420 mph

So, since Speed = Distance/Time

⇒ Time = Distance/Speed

⇒ Time = 1050/420

⇒ Time = 2.5 hours

Thus, the time plane will take to travel 1050 miles into the wind is 2.5 hours.

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X
-3
1
O
y =
= 2x+2
q
-2
b
2
C

use the table to work out!
a, b, c,d when
Y=2x+2

Answers

Answer:

y and x = 4 if wanted a dinner equation in one hand over least common multiple

what is the value of 8 4/3 ?​

Answers

Answer :

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bf= 9.\bar{33}[/tex]

Step-by-step explanation:

[tex] \bf{8 \frac{4}{3} = \frac{3 \times 8 + 4}{3} = \frac{24 + 4}{3} = \frac{28}{3} = 9. \bar{{33 }}}[/tex]

What number is equal to √9?

Answers

Answer:

3

Step-by-step explanation:

x =√9

x= 9½

Multiply both sides by the power of 2

x²=9½*²

x²= 9

x²=3²

x=3

a) 3² x 3* = 37
Find the value of x.
b) 78 + 7 = 76
Find the value of y.
c) (q¹)² = q¹²
12
Find the value of z.
Marks

Answers

 z =  3  or z = [tex]\frac{In q^{12} }{In q^{4} }[/tex]   is the value of z in linear equation.

What in mathematics is a linear equation?

There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.

a ) Simplify using exponent rule with same base  = a[tex]a^{n} . a^{m} = a^{n + m}[/tex]

Based on the given conditions, corresponding exponents are equal                                                                              = [tex]3^{2 + x} = 3^{7}[/tex]

Rearrange unknown terms to the left side of the equation                                                                           = 2 + x = 7

 Calculate the sum or difference                                                                               x = 5

b) Calculate the power 5764801 + [tex]7^{y}[/tex] = 117649

Rearrange unknown terms to the left side of the equation

         7^{y} = 117649 - 5764801

The equation is not defined.

c)  the equations  z =  3  or z = [tex]\frac{In q^{12} }{In q^{4} }[/tex]

   answer    z =  3  or z = [tex]\frac{In q^{12} }{In q^{4} }[/tex]

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Use the distributive property to solve the equation. 5x/2-x=x/6-8/3.

Answers

Answer:

Step-by-step explanation:

i know

a rectangle has a perimeter of 10 meters. choose ,begin emphasis,all,end emphasis, the possible dimensions of the rectangle.

Answers

The possible dimensions of the rectangle having a perimeter 10 are

1)length= 4 and bredth= 1

2)length= 3 and bredth= 2

The perimeter of rectangle=2( length of rectangle + breadth of rectangle)

Given that the perimeter of rectangle=10

10=2( length of rectangle + breadth of rectangle)

5=length of rectangle + breadth of rectangle

For a rectangle, length must be always greater than the breadth

The possible values of length of rectangle= 4 and 3

As a result,the Breadth of the rectangle will be 1 if length =4

As a result,the Breadth of rectangle will be 3 if length =2

Therefore, The possible dimensions of the rectangle having a perimeter 10 are

1)length= 4 and bredth= 1

2)length= 3 and bredth= 2

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Ken and Hamid run around a track.

It takes ken 80 seconds to complete one lap
It takes Hamid 60 Seconds to complete one lap

Ken and Hamid start running at the same time from the start line

How may laps will they each run when they next meet on the start line?

Answers

It is found that Ken will have run 3 laps and Hamid will have run 4  around a track.

What is prime factorization?

Factorization is expressing a mathematical quantity in terms of multiples of smaller units of similar quantities.  Prime factorization is when all those factors are prime numbers.Thus, prime factorization expresses an integer in terms of multiples of prime numbers.

Prime factorization is unique for each integer.

To determine the number of seconds that will have passed when they meet again.  We will use the LCM, or least common multiple, for this.

Thus the prime factorization of each number:

80 = 10(8)

10 = 5(2)

8 = 2(4)

4 = 2(2)

80 = 2(2)(2)(5)(2)

60 = 10(6)

10 = 5(2)

6 = 2(3)

60 = 2(2)(3)(5)

For the LCM,

2(2)(5)(2)(2)(3) = 240

This means every 240 sec; they will both be at the start line.

Since Ken completes a lap in 80 seconds, then he will completes

240/80 = 3 laps in 240 seconds.

Since Hamid completes a lap in 60 seconds, then he will completes 240/60 = 4 laps in 240 seconds.

Hence, It is found that Ken will have run 3 laps and Hamid will have run 4.

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Sep 16, 1:21:38 AM
(3x-26)°, then find the measure of

Answers

The measurement or the value of x in the given equation [tex](3x-26)degrees = 180degrees[/tex] is [tex]x=68.67[/tex]°

As per the question statement, we are supposed to find the measure of angle x in the given equation, [tex](3x-26)= 180[/tex]

Before solving this question, we should know that this question is an example of solving a linear equation in one variable.

[tex](3x-26)= 180\\3x=206\\x=\frac{206}{3} \\x=68.67[/tex]

Hence the measure of the angle x is x=68.67°

This question is a good example of solving a linear equation in one variable.

Linear Equation: It is an equation which when plotted on a graph forms a straight line and we solve for an unknown number called as variable.

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Simplify the following expression in Scientific Notation. (1.8x10⁹) (6.7 x 10¹²)
a x 10^b
a=?
b=?​

Answers

the following expression i.e. (1.8x10⁹) (6.7 x 10¹²) in Scientific Notation is 120.6×[tex]10^{20}[/tex] and a=120.6 and b=20

Scientific notation:

Scientific notation is a method of presenting very large or very small numbers in a more simplified format. We know that whole numbers can be extended indefinitely, but such large numbers cannot be written on a piece of paper. Furthermore, the numbers found after the decimal point needed to be represented in a more straightforward manner.

(1.8x10⁹) (6.7 x 10¹²) = 120.6×[tex]10^{20}[/tex]

Given (1.8x10⁹) (6.7 x 10¹²) =a x [tex]10^{b}[/tex]

a x [tex]10^{b}[/tex]= 120.6×[tex]10^{20}[/tex]

a=120.6 and b=20

Therefore,the following expression i.e. (1.8x10⁹) (6.7 x 10¹²) in Scientific Notation is 120.6×[tex]10^{20}[/tex] and a=120.6 and b=20

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Emma bought a salad for $4.75 and a drink for $1.65. She had $18.35 left. How much money did she have before she bought the salad and drink

Answers

Answer: The amount she started with is $24.75

She had 24.75 before buying the salad and drink.

PLEASE HELP!!!! IMPORTANT!!!!

Answers

The answer is 90 degrees.

180 and 360 would also map onto itself, but the shortest angle is 90.
The answer is 90 degrees

a gas station sells regular gas for $2.10 per gallon and premium gas for $2.90 a gallon. at the end of a business day 280 gallons of gas had been sold, and receipts totaled $652. how many gallons of each type of gas had been sold?

Answers

200 gallons of regular gas and 80 gallons of premium gas were sold.

Let the amount of regular gas sold be x gallons. So, the amount of premium gas sold will be (280 - x).

Now, forming the equation using the given information, to find the amount of each type of gallon.

Equation -

2.10x + 2.90(280 - x) = 652

Performing multiplication with values inside bracket in Left Hand Side

2.10x + 812 - 2.90x = 652

Rewriting the equation -

812 - 652 = 2.90x - 2.10x

Performing subtraction

160  = 0.8x

Rewriting the equation according to x

x = 160÷0.8

Performing division to find the value of x

x = 200

So, 200 gallons of regular gas was sold.

Amount of premium gas sold = 280 - 200

Performing subtraction

Amount of premium gas sold = 80 gallons

Hence, 200 gallons of regular gas and 80 gallons of premium gas was sold.

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7. Vernon filled his gas tank with 16 gallons of
gas. The table shows the linear relationship
between the amount of gas remaining in his
tank and the miles driven. What is the rate of
change of gallons of gas per mile driven?
Miles Driven
Gas (gal)
0,16
84,12
105,11
336,0

* coordinates is a chart x representing miles driven y representing gas(gal)

Answers

Vernon put 16 liters of gas in his tank. 21 miles per gallons of gas are consumed each mile that is driven.

Given that,

Vernon put 16 liters of gas in his tank.

The table depicts the linear relationship between the mileage driven and the amount of gas in his tank.

We have to find how many gallons of gas are consumed each mile that is driven.

From the table we can say

The total Distance is 336

The total gallons of gas is 16

Rate= Total distance/Total gallons

Rate=336/16

Rate=21 miles per gallons

Therefore, 21 miles per gallons of gas are consumed each mile that is driven.

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