Anthony is planning a trip, using
a map with a scale of 1 cm to
15 miles. If the destination is
15 cm away on the map, how far
away, in miles, is the destination?

[?] miles

Answer:

6.5

Step-by-step explanation:

Answer:

(A)

(1) NO

(2) YES

(B)

(3) YES

(4) NO

(5) YES

Step-by-step explanation:

According to the triangle sum theorem, the three interior angles of any triangle add up to 180 degrees. So, if we add up the three angles given, to be a triangle, they have to add up to 180 degrees.

38 + 42 + 110 = 190

So, ( (1)  38, 42, 110 ) is not a triangle becuase it adds up to more than 180 degrees (1).

20 + 40 + 120 = 180

So, ( (2)  38, 42, 110 ) is a triangle because it adds up to 180 degrees (2).

For the lengths for a triangle, the length of one side of a triangle must be greater than the difference and less than the sum of the lengths of the other two sides. This is saying:

A-B < C

A+B > C

So to find if they can be, simply plug in the values.

(3)

4-3 < 3

True : 1 < 3

4+3 > 3

True : 7 > 3

(3) is a triangle.

(4)

3-2 < 5

True : 1 < 5

3+2 > 5

False : 5 > 5

(4) is not a triangle

(5)

5-2.5 < 4

True : 2.5 < 4

5+2.5 > 4

True : 7.5 > 4

(5) is a triangle

Answer:

how i do it:

break the entire figure up into simple shapes ( there should be 4 separate figures once you do this )

find the missing / needed side lengths using the information already provided

multiply to get the area of each figure

add them all up

Answer:

Step-by-step explanation:

Solving system of symultaneous equation:

Let the cost of one roll of plain wrapping pair = x

Let the cost of one shiny wrapping paper = y

Amanda:

   Cost of 3 rolls of plain paper + cost of 3 rolls of shiny paper = $ 60

3*x + 3*y = 60

3x + 3y = 60 ------------------(I)

Molly:

 Cost of 1 roll of plain paper + cost of 9 rolls of shiny paper = $ 132

  x + 9y = 132 ---------------------(II)

         x  = 132 - 9y ---------------(III)

Substitute x = 132 -9y in equation (I)

  3*(132-9y) + 3y = 60

3*132 - 3*9y + 3y = 60

    396 - 27y + 3y = 60

         Combine like terms

            396 - 24y  = 60

       Subtract 396 from both sides

                  -24y  =  60 - 396

                  -24y   = -336

        Divide both sides by (-24)

                      y   = -336/(-24)

[tex]\sf \boxed{y=14}[/tex]

Now, substitue y = 14 in equation (III)

x = 132 - 9*14

    = 132 - 126

[tex]\sf \boxed{x = 6}[/tex]

cost of one roll of plain wrapping paper = $ 6

Cost of one roll of shiny wrapping paper = $ 14

Answer:

60 girls

Step-by-step explanation:

Answer:

8.4

Step-by-step explanation:

76 ÷ 9 = 8.44444444

= 8.4 (rounded)

hope this helps!

Answer:

9x² + 42x + 49

Step-by-step explanation:

Identity

In this case, x = 3x and a = 7, so substitute the values.

Answer:

[tex]9x^2 + 42x + 49[/tex]

Step-by-step explanation:

Step 1:  Factor out the expression

[tex](3x + 7)^2[/tex]

[tex](3x + 7)(3x + 7)[/tex]

[tex](3x * 3x) + (3x * 7) + (7 * 3x) + (7 * 7)[/tex]

[tex]9x^2 + 21x + 21x + 49[/tex]

[tex]9x^2 + 42x + 49[/tex]

Answer: [tex]9x^2 + 42x + 49[/tex]

Answer:

1.7 = -0.7

1.1 = -2.1

1.4 = -1.4

Unsure about 0.7

0.8 = 1.7

1.9 (unsure about both)

1.1 = -0.9

Step-by-step explanation:

Hope this helps :)))

The regression line is not a good model because the residuals are not randomly distributed.

For a residual plot to represent a good model, the points on the residual plot must be randomly distributed across the coordinates.

From a regression, the residual is the difference between the observed values and the predicted values.  

Using the graph, we can see that the points that follow a pattern (or curve) regression line is not a good model because the residuals are not randomly distributed.

Read more about residual plots at:

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Answer:

The answer is C. x=15

Step-by-step explanation:

PQ+PR+RQ=360°

(8x-10)°+(6x)°+(10x+10)°=360°

(8x+6x+10x)+(-10+10)=360°

24x+0=360°

[tex]x=\frac{360}{24}[/tex]

x=15

Answer:

B:  {-6, -2, 2}

Step-by-step explanation:

Domain = input values (x-values)

Given elements:  (-6, -7)  (-2, -3)  (2, 3)

The x-values of the given elements are:  -6, -2 and 2

Therefore, the domain is {-6, -2, 2}

The volume of the rectangular prism filled with unit cubes each measuring the value of the length given is 72ft³.

Hence, Option D) 72ft³ is the correct answer.

A rectangular prism is simply a three-dimensional solid shape with six faces which are rectangles.

The volume of a rectangular prism is expressed as;

V = l × w × h

Where l is length, w is width and h is height of the prism

A cube is a three-dimensional solid with six equal square-shaped sides.  

Given the data in the question;

To determine the volume of the rectangular prism, we substitute our given values into the expression above.

V = l × w × h

V = 4ft × 3ft × 6ft

V = 72ft³

Option D) 72ft³ is the correct answer.

Hence, the volume of the rectangular prism filled with unit cubes each measuring the value of the length given is 72ft³.

Answer:

1/22

Step-by-step explanation:

Answer:

P(<4)

Step-by-step explanation:

P(<4) means "What is the probability that the die shows a number less than 4?" Since each side has a probability of 1/6 of showing, we can simply sum these 3 probabilities.

The class which generally had the highest pulse of students recorded by the science teacher after climbing the stairs is class 3.

Box plot is the way of representation of data which gives the graphical image of the data set to understand better.

The minimum and the maximum values in the box plot is plotted at the end points.

In this box plot, the class 3 has the highest value compare to all the box plot.

Thus, the class which generally had the highest pulse of students recorded by the science teacher after climbing the stairs is class 3.

Learn more about the box plot here;

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Answer:

r=4/63

Step-by-step explanation:

Divide each term in 9r=47 by 9 and simplify.

Answer:

[tex]r=\frac{4}{63}[/tex]

Step-by-step explanation:

1) Divide both sides by the same factor

[tex]9r=\frac{4}{7}[/tex]

[tex]\frac{9r}{9} =\frac{\frac{4}{7} }{9}[/tex]

2) Simplify

[tex]\frac{9r}{9} =\frac{\frac{4}{7} }{9}[/tex]

[tex]r=\frac{\frac{4}{7} }{9}[/tex]

[tex]r=\frac{\frac{4}{7} }{9}[/tex]

[tex]r=\frac{4}{63}[/tex]

Answer:

54.95

Step-by-step explanation:just did the question and got it right.

Hope this helps!

Answer:

y = -x + 3

Step-by-step explanation:

1. Substitute "y = -x + 3" in for y in the second expression:

2x + 2(-x + 3) = 6

2. Simplify:

2x + (-2x) + 6 = 6

0 + 6 = 6

6 = 6

Because the values are equal, the solution of y = -x + 3 is a valid input.

hope this helps!

Answer:

Answer to the first equasion is y=2: 2=-1+3

Step-by-step explanation:

y=-x+3  (x=1)

      -3      y=-x

                   -3=2

2=-1+3

y=2

Hope this helps and makes sence

Answer:

-50

Step-by-step explanation:

42+=x-2x-8

42=-x-8

(add 8 to both sides)

50=-x

(divide by negative 1)

-50=x

Answer:

1*2*3*4*5*6*7*8*9*0=0
For anything times zero is zero

Step-by-step explanation:

Answer:

Step-by-step explanation:

this is zero, because the last number you multiply by is zero... but.. to be fair,  it probably should have been a 10,  as in  10 factorial  or  10!   if it was 10!   , it would be 3,628,800.  

An expression has numbers, variables, and mathematical operations. The expression that is equivalent to (144a¹²b³)⁰°⁷⁵ is 2a³(9b³)⁰°⁷⁵.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The expression that is equivalent to [tex]\sqrt[4]{144a^{12}b^3}[/tex], this can be done in the following manner,

[tex]\sqrt[4]{144a^{12}b^3}\\\\= \sqrt[4]{2^4 \times 3^2 \times a^{12} \times b^3}\\\\= (2^4 \times 3^2 \times a^{12} \times b^3)^{\frac14}\\\\= 2^{(\frac14 \times 4)} \times 3^{(\frac14 \times 2)} \times a^{(\frac14 \times 12)} \times b^{(\frac14 \times 3)}\\\\= 2 \times 3^{(\frac12)} \times a^{3} \times b^{(\frac34)}\\\\[/tex]

[tex]= 2\times a^{3} \times 3^{(\frac12 \times \frac22)} \times b^{(\frac34)}\\\\= 2\times a^{3} \times 3^{(\frac24)} \times b^{(\frac34)}\\\\= 2\times a^{3} \times 9^{(\frac14)} \times b^{3(\frac14)}\\\\= 2\times a^{3} \times (9b^{3(\frac14)})\\\\=2a^3 \sqrt[4]{9b^3}[/tex]

Thus, The expression that is equivalent to (144a¹²b³)⁰°⁷⁵ is 2a³(9b³)⁰°⁷⁵.

Learn more about Expression:

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Answer:

its a

Step-by-step explanation:

on edge 2022

Answer: 1575

Step-by-step explanation:

Volume of Pyramid: b*l*h/2 = 21*9*7/3 = 441

Volume of Rectangular prism = V= lwh = (21*12*9)/2 = 1134 (divide by two because it is half of a rectangular prism)

441 + 1134 = 1575

Answer:

Answer C

Step-by-step explanation:

The rules of logarithmic functions require the two log functions to have the same base. If they do not have the same base, you cannot apply any of the rules.

Answer:

Last option

Step-by-step explanation:

They need same base inorder to apply any property

Like

Answer:

Area = Width * Length

Step-by-step explanation:

This is the formula for a rectangle. If you plug in the values that were givin to you, the answer is 6 units^2.

Answer:

area of triangle base ×height over 2= 10km×9.4 over 2

area rectangle l×w =10×10

Answer:

Ex1. SAS, ASA, SSS, SAS

Ex2. There are 2 heights and equal length

Dtu =uts and ut common side du=us

Rq=sd and sq common side rs=qd

The mean absolute deviation of the given scores of Robin as shown in the diagram atatched is: 5.2.

The mean absolute deviation of a data set is determined by finding the average of the distance of each data point from the mean of the data set.

Given that the distance from the mean are: 8, 1, 5, 0, 12,

Mean absolute deviation = (8 + 1 + 5 + 0 + 12)/5

Mean absolute deviation = 26/5

Mean absolute deviation = 5.2.

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