The scale of map is 4m = 18mi
map : 6.8m
actual : ____ mi

Answer:

if i am not wrong is 119

Step-by-step explanation:

I did it like this:

I took 44 + 17= 61

And then I took 180-61= 119

The minimum number of trips the bus will have to make to accommodate everyone is 5.

To find the minimum number of trips the bus needs to make, we divide the total number of people by the capacity of the bus.

1. Divide the total number of people (330) by the capacity of the bus (68):

  330 / 68 = 4.85 (rounded to the nearest whole number)

2. The result is approximately 4.85, which means that 4 trips will not be enough to accommodate everyone.

3. Since we can't have a fraction of a trip, we need to round up to the nearest whole number to ensure that everyone is accommodated.

4. Therefore, the minimum number of trips the bus will have to make is 5, as it will require 5 full trips to transport all 330 people.

It's important to note that on the fifth trip, the bus will not be completely full, as only 10 people will be left to transport. However, this is the minimum number of trips needed to ensure that everyone can go sight-seeing on the bus.

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Answer:

Yes, when dividing a whole number by a unit fraction, multiplying the whole number by the unit fraction's denominator always works! a divided by (1/b) = a times (b/1) = (a/1) times (b/1) = ab/1 = ab. Have a blessed, wonderful day! Comment on Ian Pulizzotto's post “Yes, when dividing a whole number by a unit fracti...”

To find the area of the combined rectangles, we need the dimensions (length and width) of each rectangle. However, the provided text and numbers do not seem to correspond to a clear description of the rectangles or their dimensions. Could you please provide more specific information or clarify the question?

251 flower arrangements must be prepared for the three weddings this weekend.

One of the four fundamental mathematical processes, along with addition, subtraction, multiplication, and division, is addition.

To find the total number of flower arrangements that must be prepared, we need to add the number of arrangements for each wedding:

Total number of arrangements = 120 + 85 + 46

Total number of arrangements = 251

Therefore, 251 flower arrangements must be prepared for the three weddings this weekend.

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Given that:

- Triangle ABC is reflected across the y-axis to form the triangle A'B'C'.

- It was then dilated by the following scale factor in order to form triangle A"B"C":

You need to remember the following definitions in order to solve the exercise:

1. In Transformations, the original figure is called "Pre-Image" and the figure obtained after the transformation is called "Image".

2. When the transformation is a Reflection, the Image and the Pre-Image have the same size and shape.

3. In Dilations, the Image and the Pre-Image have the same shape but their sizes are different.

4. Two figures are similar when their corresponding angles are congruent and the ratios of the lengths of their corresponding sides are proportional.

5. Two figures are congruent when they have the same size and the same shape.

Then, you can conclude that:

• The triangles ABC and A'B'C' have the same shape and size. Therefore, they are congruent.

• The triangles ABC and A"B"C" have different sizes, therefore, they are not congruent.

• Knowing that the triangles ABC and A'B'C' are congruent, and knowing that A'B'C' has dilated to get the triangle A''B''C'', you can determine that the triangles ABC and A"B"C" are similar.

Hence, the answer is: Option A.

Answer:

\(v=\frac{80}{3}\pi \frac{m}{min}\)

Step-by-step explanation:

In order to start solving this problem, we can begin by drawing a diagram of what the problem looks like (see attached picture).

From that diagram, we can see that we have a triangle we can analyze. We'll call the angle between the vertical line and the slant line \(\theta\). And we'll call the distance between W and the point we are interested in l.

Now, there are different things we need to calculate before working on the triangle. For example, we can start by calculating the angle \(\theta\).

From the diagram, we can see that:

\(tan \theta = \frac{l}{3}\)

when solving for \(\theta\) we will get:

\(\theta = tan^{-1} (\frac{l}{3})\)

we could use our calculator to figure this out, but for us to get an exact answer in the end, we will leave it like that.

Next, we can calculate the angular velocity of the beam. (This is how fast the beam is rotating).

We can use the following formula:

\(\omega = \frac{2\pi}{T}\)

where T is the period of the rotation. This is how long it takes the beam to rotate once. So the angular velocity will be:

\(\omega = \frac{2\pi}{3} \frac{rad}{s}\)

Next, we can take the relation we previously got and solve for l, so we get:

\(tan \theta = \frac{l}{3}\)

\(l = 3 tan \theta\)

Now we can take its derivative, so we get:

\(dl = 3 sec^{2} \theta d\theta\)

and we can divide both sides of the equation into dt so we get:

\(\frac{dl}{dt} = 3 sec^{2} \theta \frac{d\theta}{dt}\)

in this case \(\frac{dl}{dt}\) represents the velocity of the beam on the wall and \(\frac{d\theta}{dt}\) represents the angular velocity of the beam, so we get:

\(\frac{dl}{dt} = 3 sec^{2} (tan^{-1} (\frac{l}{3})) (\frac{2\pi}{15})\)

we can simplify this so we get:

\(\frac{dl}{dt} = (\frac{2\pi}{5})sec^{2} (tan^{-1} (\frac{l}{3}))\)

we can use the Pythagorean identities to rewrite the problem like this:

\(\frac{dl}{dt} = (\frac{2\pi}{5})(1+tan^{2} (tan^{-1} (\frac{l}{3})))\)

and simplify the tan with the \(tan^{-1}\) so we get:

\(\frac{dl}{dt} = (\frac{2\pi}{5})(1+(\frac{l}{3})^{2})\)

which simplifies to:

\(\frac{dl}{dt} = (\frac{2\pi}{5})(1+(\frac{l^{2}}{9}))\)

In this case, since l=1, we can substitute it so we get:

\(\frac{dl}{dt} = (\frac{2\pi}{5})(1+(\frac{1}{9}))\)

and solve the expression:

\(\frac{dl}{dt} = (\frac{2\pi}{5})(\frac{10}{9})\)

\(\frac{dl}{dt} = \frac{20}{45}\pi\)

\(\frac{dl}{dt} = \frac{4}{9}\pi \frac{m}{s}\)

now, the problem wants us to write our answer in meters per minute, so we need to do the conversion:

\( \frac{dl}{dt} = \frac{4}{9}\pi \frac{m}{s} * \frac{60s}{1min} \)

\(velocity = \frac{80}{3} \pi \frac{m}{min}\)

Answer:

Mario: Start at 6 and add x (x represents the number of miles walked by Mario).

Lila: Start at 12 and add y (y represents the number of miles walked by Lila).

Please note that the specific values to add for each student (x and y) are not provided in the question.

Step-by-step explanation:

Answer:

Yes, since the total pay of $120 is more than the $100 cost of the MP3 player.

Step-by-step explanation:

hourly pay: $5/hour

number of hours: 24 hours

total pay = hourly pay × number of hours

total pay = $5/hour × 24 hours

total pay = $120

MP3 player costs $100.

Total pay is $120.

Answer: Yes, since the total pay of $120 is more than the $100 cost of the MP3 player.

The correct answer is B. The sample represents a proportion of the population.

A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.

The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.

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Answer

453,600 arrangements

Explanation

When one is asked to find the number of arrangements of the letters of a given word (with n letters), the number of arrangements is calculated as

where k₁, k₂, k₃ are the number of times that letters that occur multiple times appear.

For this question and for the word AUSPICIOUS,

The number of letters in the word is 10 letters.

And the letters, U, S and I all occur 2 times each.

n = 10

k₁ = 2, k₂ = 2, k₃ = 2

Number of arrangements

= 10! ÷ [(2!)(2!)(2!)]

= 3,628,800 ÷ 8

= 453,600 arrangements

Hope this Helps!!!

Answer:

total stick she has = 9*4 = 36

6 sticker is need in 1 page

so page required for 36 stickers = 36/6 = 6pages

Step-by-step explanation:

Answer:

They both equal 0.333333333

Step-by-step explanation:

When you look them up, it will show you a decimal and they are both the same.

Minimum = 49

Median = 52

1st quartile = (49+51+51+52 ) /4

. Lower part = 203/4 = 50.75

3rd quartile = (52+53+55+67)/4

Upper part= 217/4 = 54.25

Now find maximum

Maximum M = 67

For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

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Answer:

x = 28

Step-by-step explanation:

Consider the two triangles ΔAPR and ΔCDR

We see that AP ║ CD

Therefore m∠PAR = m∠CR, m∠APR= m∠CDR
Angle ∠R is common to both triangles

So the triangles are similar

Therefore the ratios of the sides must be the same ratio

\(\dfrac{AR}{CR} = \dfrac{PR}{DR}\\\\\)

AR = x + 10

CR = x

PR = 42 + 15 = 57

DR = 42

PR = 42 + 15 = 57

Plugging in the values for these sides:

\(\dfrac{x + 10}{x} = \dfrac{57}{42}\\\)

Cross-multiplying we get

\(42(x + 10) = 57x\\\\42x + 420 = 57x\\\\420 = 57x - 42x = 15x\\\\15x = 420\\\\x = 420/15\\\\= 28\)

Answer:

(x - 1)^2 + (y + 3)^2 = 400.

Step-by-step explanation:

Your equation is correct.

The center of the circle is (1, -3), which is the midpoint of the diameter. The diameter is 20, so the radius is 10. The equation of a circle with center (h, k) and radius r is given by:

(x - h)^2 + (y - k)^2 = r^2

Substituting the values, we get:

(x - 1)^2 + (y + 3)^2 = 10^2

Simplifying the right side, we get:

(x - 1)^2 + (y + 3)^2 = 100

Therefore, the equation of the circle is (x - 1)^2 + (y + 3)^2 = 400.

Answer:

x=2

Step-by-step explanation:

10 - (x + 3) = 5

To solve for x, we can start by simplifying the left side of the equation:

10 - (x + 3) = 5

10 - x - 3 = 5

7 - x = 5

Next, we can isolate x on one side of the equation by subtracting 7 from both sides:

7 - x = 5

7 - x - 7 = 5 - 7

-x = -2

Finally, we can solve for x by dividing both sides of the equation by -1:

-x = -2

x = 2

Therefore, the solution to the equation is x = 2.

The length AC in the kite is 8.7 cm.

A kite is a quadrilateral that has two pairs of consecutive equal sides and

perpendicular diagonals. Therefore, let's find the length AC in the kite.

Hence, using Pythagoras's theorem, let's find CE.

Therefore,

7² - 4² = CE²

CE = √49 - 16

CE = √33

CE = √33

Let's find AE as follows:

5²- 4² = AE²

AE = √25 - 16

AE = √9

AE = 3 units

Therefore,

AC = √33 + 3

AC = 5.74456264654 + 3

AC = 8.74456264654

AC = 8.7 units

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Answer:

The last option, since,

x+1<5

or, x<4

x-4>-3

or, x>1

So, x is between 1 and 5 and not 1 or 5

Option D. The mountainous geography of Athens influence the economy as The people of Athens relied on sea trade.

Greece's rugged terrain caused some areas, particularly Athens, to become dependent on trade. Many Greeks went on to become seafaring tradesmen and merchants. Greeks engaged in trade with other Mediterranean people for pottery, wine, and olive oil. They communicated with the outside world by sailing to neighboring islands.

The geography of the area influenced the ancient Greeks' political system and way of life. Mountains, seas, and islands formed natural barriers between the Greek city-states, forcing the Greeks to relocate to coastal areas.

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The monthly PMI Payment for Christina's loan is $37.50.The correct answer is option B.

To determine Christina's monthly PMI (Private Mortgage Insurance) payment, we need to find the corresponding interest rate for her loan-to-value (LTV) ratio. The LTV ratio is calculated by dividing the loan amount by the property value.

The loan amount can be calculated by subtracting the down payment from the property value:

Loan amount = Property value - Down payment

           = $170,000 - $20,000

           = $150,000

Now we can calculate the LTV ratio:

LTV ratio = Loan amount / Property value * 100

         = $150,000 / $170,000 * 100

         = 88.24%

Since Christina is obtaining a 30-year mortgage, we need to look at the interest rates for LTV ratios between 85.01% and 90%. According to the table, the interest rate for this range is 0.30%.

To calculate the PMI payment, we multiply the loan amount by the PMI rate and divide it by 12 months:

PMI payment = (Loan amount * PMI rate) / 12

           = ($150,000 * 0.30%) / 12

           = $450 / 12

           = $37.50

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The Probable question may be:
Christina is buying a $170,000 home with a 30-year mortgage. She makes a $20,000 down payment.

Use the table to find her monthly PMI payment

Base to loan% = 95.01% to 97%,90.01% to 95%,85.01% to 90%,80.01% to 85%.

30-year fixed-rate loan = 0.55%,0.41%,0.30%,0.19%

15-year fixed-rate loan = 0.37%,0.28%,0.19%,0.17%.

A. $51.25

B. $37.50

C. $23.75

D. $42.50

Answer:

The numbers in which 7 appears are. 7, 17, 27, 37, 47, 57, 67, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 87, 97, 107. So, counting all. ∴ Number of times 7 appears = 21

The function represents f ( x ) is f ( x ) = 32 ( 3x - 1 )

Given :

The table represents some points on the graph of linear function f.

Table :

x        -2         1        5       10

f ( x ) -224   64     448   928

take two points ( 5 , 448 ) and ( 1 , 64 )

slope m = 64 - ( 448 ) / 1 - ( 5 )

= 64 - 448 / 1 - 5

= -384 / -4

= 384 / 4

= 192 / 2

= 96

( 1 , 64 ) on

y -  64 = 96 ( x - 1 )

y - 64 = 96x - 96

y = 96x - 96 + 64

y = 96x - 32

take 32 as common

= 32 ( 3x - 1 )

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Data

• Original price (,O,): $420

• Original price percent (,PO,): 100%

• Really paid (,R,): $120

• Really paid percent (,x,): ?

Procedure

We have to build a relationship taking into account the parameters given:

Isolating for x:

Answer: 28.57