A model of an airplane has a length of 2.5 feet. If the scale used to create the model was 1 foot = 250 feet, what is the actual length of the airplane?

Answer:

[tex]16.2\ \frac{rev}{min}[/tex]

Step-by-step explanation:

The complete question is

A hamster runs at 17 centimeters per second in a wheel of radius 10 centimeters how fast will the wheel spin in revolutions per minute​?

step 1

Find the circumference of the wheel

The circumference of the circle is equal to

[tex]C=2\pi r[/tex]

we have

[tex]r=10\ cm[/tex]

substitute

[tex]C=2\pi (10)\\C=20\pi\ cm[/tex]

assume

[tex]\pi=3.14[/tex]

[tex]C=20(3.14)=62.8\ cm[/tex]

step 2

Find the number of revolutions

Remember that

One revolution of the wheel represent a distance equal to the circumference of the wheel

using proportion

[tex]\frac{1}{62.8}\ \frac{rev}{cm}=\frac{x}{17}\ \frac{rev}{cm}\\\\x=17/62.8\\\\x=0.27\ rev[/tex]

so

The number of revolutions per second is [tex]0.27\ \frac{rev}{sec}[/tex]

step 3

Convert to rev per minute

we know that

[tex]1\ min=60\ sec[/tex]

to convert sec to min divide by 60

so

[tex]0.27\ \frac{rev}{sec}=0.27:\frac{1}{60}=16.2\ \frac{rev}{min}[/tex]

Answer: f(x)= -2x - 3

Step-by-step explanation

Answer:

2~1/4

Step-by-step explanat

Answer:

Step-by-step explanation:

[tex]\frac{3}{4}+\frac{3}{4}+\frac{3}{4}=\frac{3+3+3}{4}=\frac{9}{4}\\\\=2\frac{1}{4}[/tex]

Answer:

The length is 56 and the width is 54.

Step-by-step explanation:

The perimeter of a rectangle is 2x+2y (width and length on both sides). so 2x+2y=220. Also x=y-2, because the width is 2 feet less than the length. Fill x=y-2 in 2x+2y=220 and we get 2(y-2)+2y=220. 2y-4+2y=220. 4y=216. y=54. Fill in y=54 in 2x+2y=220 and we get 2x+2(54)=220. 2x=220-2(54)=112. x=56.

The length of the rug is 56 feet, and the width is 54 feet.

Let's denote the length of the rug as x feet. According to the given information, we know that the width is two feet less than the length, so the width is x-2 feet. The perimeter of a rectangle is the sum of all its sides, which in this case is 2(length + width). Setting up the equation for the perimeter:

2(x + (x-2)) = 220

Simplifying the equation:

2(2x-2) = 220

4x - 4 = 220

4x = 224

x = 56

Therefore, the length of the rug is 56 feet, and the width is 54 feet.

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Answer:

0.01707779886

Step-by-step explanation:

Just do 27/1581

Answer: 0.1 feet

Step-by-step explanation:

This is a case of Geometric sequence .

First bounce = 40% of 6 feet

First bounce = 2.4 feet

second bounce = 40% of 2.4 feet = 0.96

Third bounce = 40% of 0.96 = 0.384

fourth bounce = 40% of 0.384 = 0.1536

fifth bounce = 40% of 0.1536 = 0.06144

Therefore : the ball is 0.1 feet to the nearest tenth of a foot

Answer:

p - 3000 = 16000

Step-by-step explanation:

none of the options given are correct

The correct equation representing the situation is p - 3000 = 16000, where p is the original price of the car.The correct answer is option D

To determine the correct equation that describes the given situation, we need to understand the relationship between the original price of the car and its discounted price.

Let p represent the original price of the car.

The problem states that the original price was reduced by $3,000, resulting in a discounted price of $16,000.

This relationship can be represented by the equation:

p - 3000 = 16000

Rearranging this equation, we find:

p = 16000 + 3000

Therefore, the best equation that represents the situation is:

p - 3000 = 16000

The correct answer is option D

To convert 44.4% to a fraction, express it as 44.4/100, eliminate the decimal by multiplying by 10 to get 444/1000, and then simplify this to 111/250 by dividing both terms by their greatest common divisor.

To convert 44.4% into a fraction, start by writing the percent as a fraction with a denominator of 100, which would be 44.4/100. Since there is a decimal in the numerator, we want to eliminate it by multiplying both the numerator and the denominator by 10, transforming it into 444/1000. From here, the fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 4. This results in the fraction 111/250, which is the simplest form of the fraction corresponding to the percent 44.4%.

Answer: +-6.32

Step-by-step explanation:

x = +- √40

x = +-6.324

Note that +- means plus or minus.

Answer:$7.75 Take the 5 tickets at $5 to get $25. Add the $15 for concessions to reach $40. Subtract $40 from the 71 spent to get $31. Now divide the 31 by 4 for the amount of adults which equals $7.75

Step-by-step explanation:

Answer:

$546

Step-by-step explanation:

50 + 28 = 78 x 7 = 546

Answer:

Step-by-step explanation:

B) 33

Answer:

B) 33

Step-by-step explanation:

This is a dilation.

The solution to the inequality is:

[tex]x>\frac{-1}{2}[/tex]

Solution:

Given inequality is:

[tex]16x-33x<37x+27[/tex]

We have to find the solution to given inequality

[tex]\mathrm{Add\:similar\:elements:}\:16x-33x=-17x[/tex]

[tex]-17x<37x+27[/tex]

[tex]\mathrm{Subtract\:}37x\mathrm{\:from\:both\:sides}[/tex]

[tex]-17x-37x<37x+27-37x[/tex]

Simplify the above inequality

[tex]-54x<27[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}[/tex]

Remember that, change the inequality sign if you divide or multiply both sides by a negative number

If you divide or multiply both sides by a positive number,the inequality sign will not change

[tex]\left(-54x\right)\left(-1\right)>27\left(-1\right)\\\\54x>-27[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}54[/tex]

[tex]\frac{54x}{54}>\frac{-27}{54}\\\\x>-\frac{1}{2}[/tex]

Thus the solution to inequality is found

Answer:

450 meters

Step-by-step explanation:

300m=10 minutes

???=15 minutes

300/10=30

15 x 30 =450 meters

To determine the distance walked in 15 minutes, multiply the walking speed (30 meters per minute) by the time (15 minutes), resulting in a total distance of 450 meters walked.

The problem we are solving is a basic mathematics question regarding distance, speed, and time. To find out how far you walked on another day at the same speed for 15 minutes, we will use the distance you walked in 10 minutes as a reference.

You walked 300 meters in 10 minutes. This means that in one minute, you walk 300 meters divided by 10 minutes, which is 30 meters per minute. This is your walking speed. To find out how far you walked in 15 minutes, you would multiply your speed by 15.

Therefore, the distance walked in 15 minutes is:

Speed (in m/min) × Time (in minutes) = Distance (in meters)

30 m/min × 15 min = 450 meters.

So, on another day, you walked 450 meters in 15 minutes at the same speed.

The unit rate is 60 miles per hour and the driver will reach before time with the calculated constant speed

Step-by-step explanation:

Given

Distance = d = 45 miles

Time = t = 3/4 hour

The unit rate is defined as the distance per unit time. In this case, the unit rate can also be called speed.

So,

[tex]s = \frac{d}{t}\\s = \frac{45}{\frac{3}{4}}\\s = 45 * \frac{4}{3}\\s = 60\ miles\ per\ hour[/tex]

Using this unit rate we can see if the car can travel 65 miles in 1.25 hours or not

Given

Distance = d1 = 65 miles

Speed = s = 60 miles per hour

Putting the values in the formula for speed

[tex]s = \frac{d_1}{t_1}\\60 = \frac{65}{t_1}\\t_1 = \frac{65}{60}\\t_1 = 1.08\ hours[/tex]

As we can see that 1.08 is less than 1.25 so the driver will reach the meeting before time if he drives on a constant speed of 60 miles per hour

Hence,

The unit rate is 60 miles per hour and the driver will reach before time with the calculated constant speed

Keywords: Speed, unit rate

Learn more about speed at:

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Daniel bought 2 spoons and 5 forks.

Step-by-step explanation:

Given,

Amount spent on utensils = $40

Cost of each spoon = $5

Cost of each fork = $6

Total items bought = 7

Let,

x be the number of spoons bought

y be the number of forks bought

x+y=7           Eqn 1

5x+6y=40    Eqn 2

Multiplying Eqn 1 by 5

[tex]5(x+y=7)\\5x+5y=35\ \ \ Eqn\ 3[/tex]

Subtracting Eqn 3 from Eqn 2

[tex](5x+6y)-(5x+5y)=40-35\\5x+6y-5x-5y=5\\y=5[/tex]

Putting y=5 in Eqn 1

[tex]x+5=7\\x=7-5\\x=2[/tex]

Daniel bought 2 spoons and 5 forks.

Keywords: linear equation, elimination method

Learn more about elimination method at:

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Daniel bought 2 spoons and 5 forks by using a system of equations and solving for the number of each utensil.

The question involves determining how many spoons and forks Daniel bought given that spoons cost $5, forks cost $6, he bought a total of 7 utensils, and spent $40. To solve this, we can use a system of equations where s represents the number of spoons and f represents the number of forks.

The first equation represents the total number of utensils bought:

s + f = 7

The second equation represents the total amount spent:

5s + 6f = 40

To find the values of s and f, we can solve the system of equations. Subtracting the first equation from the second equation (multiplied by 5) gives:

5s + 6f = 40
-(5s + 5f = 35)
------------------
f = 5

Substituting f = 5 into s + f = 7, we get s = 2. Hence, Daniel bought 2 spoons and 5 forks.

Answer:

t = t₀ - 3n

Step-by-step explanation:

Let t be the temperature and t₀ be the initial temperature of the day

Let n be the number of hours after the initial temperature ( t₀) was registered

Let -3 be the constant of change of temperature ( In 4 hours it went down 12 degrees)

Now, let's write down the expression that shows the temperature change each hour, this way:

t = t₀ - 3n

After 2 hours

t = t₀ - 3 * 2 = t₀ - 6

After 5 hours

t = t₀ - 3 * 5 = t₀ - 15

After 3 hours and 30 minutes

t = t₀ - 3 * 3.5 = t₀ - 10.5

Good morning ☕️

Answer:

Step-by-step explanation:

9f²-12f+4 = (3f)²-2×(3f)×(2)+2² = (3f-2)²

:)

Answer:

  10. Statement: Point P lies on line C'D'. Reason: The coordinates of P satisfy the equation of line C'D'.

Step-by-step explanation:

The equation for line C'D' in statement 8 appears to be in error. It should be ...

  [tex]y=\dfrac{-s}{2t-r}x+\dfrac{2st}{2t-r}[/tex]

The coordinates of point P given in statement 9 are in error (they cannot be negative). They should be ...

  P = (2/3(r+t), 2/3s) . . . . . without the minus signs

This point will satisfy the equation of line C'D'. Here is the algebra. (Notice we have multiplied each term on the right of the above equation by (-1/-1).

  [tex]y=\dfrac{s}{r-2t}x-\dfrac{2st}{r-2t}\\\\\dfrac{2}{3}s=\dfrac{s}{r-2t}\cdot\dfrac{2}{3}(r+t)-\dfrac{2st}{r-2t}\qquad\text{substitute P for (x, y)}\\\\s(r-2t)=s(r+t)-3st\qquad\text{multiply by $\frac{3}{2}$(r-2t)}\\\\sr-2st=sr-2st\qquad\text{P satisfies the equation for line C'D'}[/tex]

So, step 10 should say, in effect, P lies on C'D'.

_____

Comment on the proof

IMO it is unfortunate that this proof has so many mistakes. Properly done, it is a nice demonstration that the medians are concurrent. It also demonstrates that the location of the centroid is 1/3 of the distance along the median toward the vertex.

Answer:

answer is E      

    Statement: Point P lies on line C'D'. Reason: The coordinates of P satisfy the equation of line C'D'.

Step-by-step explanation:

Answer: 4.4 hours

Step-by-step explanation:

Distance = 220 miles

Speed = 50.5 miles/hour

speed = distance / time

Therefore :

time = distance / speed

time = 220/50.5

time = 4.356435644

To the nearest tenth , time = 4.4 hours

Based on the calculations below, the slope of this graph is equal to 2/3.

In Mathematics and Euclidean Geometry, the slope of any straight line can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

[tex]Slope(m)=\frac{y_2-y_1}{x_2-x_1}[/tex]

By substituting the given data points (0, -2), and (3, 0) into the formula for the slope of a line, we have the following;

Slope of graph = (0 - (-2))/(3 - 0)

Slope of graph = (0 + 2)/(3 - 0)

Slope of graph = 2/3

Based on the graph, the slope is the change in y-axis with respect to the x-axis, and it is equal to 2/3.

Complete Question;

Using the graph, determine the value of the slope.

What is the slope?

Answer:

600

Step-by-step explanation:

Answer:

Option (C) 6.736

Step-by-step explanation:

Please look at the attached modified schematic, where I have constructed a perpendicular line to the base of the triangle.

This creates two Right triangles (i.e. one angle will always be 90°). In doing so, the 80° angle is divided into 30° and 50° angles. In doing so we also then know that on the left Right-triangle the bottom left angle will be 60° since for any Triangle all three angles must add up to 180°.

(Check your self: On the left triangle we have 90° + 30° + 60° = 180° and on the right triangle we have 90° + 50° + 40° = 180°, so we are correct).

Now let us first find the value of side named [tex]y[/tex] on the figure using Right-triangle Trigonometry. In a Right-triangle the longest side is called the hypotenuse (here denoted by the sides [tex]x[/tex] and the one valued [tex]5[/tex]).

So we have:

[tex]sin(60)=\frac{opposite side}{hypotenuse}= \frac{y}{5}\\[/tex]

so solving for [tex]y[/tex] gives:

[tex]sin(60)=\frac{y}{5}\\ y=5sin(60)\\y=\frac{5\sqrt{3} }{2}[/tex]

Similarly for the other triangle we can write:

[tex]sin(40)=\frac{y}{x}\\\\[/tex]

[tex]sin(40)=\frac{\frac{5\sqrt{3} }{2} }{x}\\[/tex]

[tex]x=\frac{\frac{5\sqrt{3} }{2} }{sin(40)}\\\\x=6.736[/tex]

So the correct option is Option (C) 6.736

Answer:

0.225 L of milk, would be required if she uses 450 m L of water.

Step-by-step explanation:

Here, to make the shake, ingredients used by Dina are:

40 m L of chocolate syrup,

200 m L of milk, and 400 m L of water.

So, here Amount of water used = 2 x ( Amount of Milk used)  .......  (1)

Now,again the amount of water used by Dona = 450 m L

Let us assume the milk used by her  = k m L

⇒ 450 m L = 2 x ( k m L)     ( from (1))

or, 450 = 2  k

⇒  k    = 450/2  = 225

⇒   k   = 225 m L

Also, 1 m L = 0.001 L

So, 225 m L = 225 x  0.001  = 0.225 L

⇒   k   = 0.225  L

Hence, 0.225 L of milk, would be required if she uses 450 m L of water.

Dona would need 0.225 liters of milk when using 450 mL of water for her chocolate shake.

To find out how much milk would be required if 450 mL of water is used, we should first look at the ratio of water to milk in the original recipe. Dona used 400 mL of water for 200 mL of milk, which is a 2:1 ratio of water to milk. If she uses 450 mL of water, maintaining the same ratio, we would calculate the amount of milk required as follows:

Determine the proportion of milk to water used originally: 200 mL milk / 400 mL water = 1/2.

Using the proportion, calculate the new amount of milk for 450 mL water: (1/2) * 450 mL = 225 mL.

Convert the milk from milliliters to liters: To do this, we know that 1 liter is equivalent to 1,000 milliliters. Therefore, we divide 225 mL by 1,000 to convert to liters.

225 mL / 1,000 = 0.225 liters of milk is needed.

Answer:

what do you need help with?

Step-by-step explanation:

IS it math?

Answer:

i think D is the correct answer

Step-by-step explanation:

Answer:

A. 25,704

Step-by-step explanation:

I just took the test on edg

Hope this helps

Please mark me as Brainliest

Answer: The equation has one solution

Step-by-step explanation: First , open the brackets

7( 12 - 2x ) = 4 (3 - 3x )

84 - 14x = 12 - 12x

collect the like terms

84 - 12 = - 12x + 14x

72 = 2x

Therefore divide through by 2

x = 72/2

x = 36

Therefore, the equation has only one solution

Answer:

2

Step-by-step explanation:

because for every 3 teaspoons of salt he will have 1 tablespoon of salt and 6 divided by 3 is 2

Answer:

[tex]y=-\frac{1}{2}x+2[/tex]

Step-by-step explanation:

Looking at the graph

For x=-2 ---> f(x)=3

For x=2 ---> f(x)=1  

so

we have the points

(-2,3) and (2,1)

Find the slope

[tex]m=(1-3)/(2+2)=-\frac{1}{2}[/tex]

The equation of the line in slope-intercept form is equal to

[tex]y=mx+b[/tex]

we have

[tex]m=-\frac{1}{2}[/tex]

[tex]b=2[/tex] ---> see the graph

substitute

[tex]y=-\frac{1}{2}x+2[/tex]

Answer:

The answers A

Step-by-step explanation:

A has 22, the lowest number, 28, the third lowest number, 42, the middle number, 56, the third highest number, and 61 the highest number!