the distance on the map between priya's house is 6.4 cm. If the scale on the map is 1 cm : 2.5 km, what is the actual distance in kilometres
let y kilometres be the actual distance

Answer:

121.2 cm^2

Step-by-step explanation:

Surface area:

6 x 5.5 x 2 = 6 x 11 = 66 cm^2

6 x 2.4 x 2 = 12 x 2.4  = 28.8 cm^2

5.5 x 2.4 x 2 = 11 x 2.4 = 26.4 cm^2

Total surface area = 66 + 28.8 + 26.4 = 94.8+ 26.4 = 121.2 cm^2

Answer:

15.75

Step-by-step explanation:

first add

12+25+16+9+5+22+27+20=126

then divide by how ever many numbers there are in this case there's 8:

126÷8=15.75

The interquartile range of the data set is 7.

Step-by-step explanation:

The given set of data is {18 , 17 , 10 , 25 , 20 , 20 , 30 , 18 , 18 , 30 , 25}

Arrange the data in ascending order:

10 , 17 , 18 , 18 , 18 , 20 , 20 , 25 , 25 , 30 , 30

Divide the data in two equal parts:

(10 , 17 , 18 , 18 , 18), 20 ,(20 , 25 , 25 , 30 , 30)

Divide each parenthesis in 2 equal parts:

(10 , 17), 18 ,(18 , 18), 20 ,(20 , 25), 25 ,(30 , 30)

Now we can say that,

Q₁ = 18 , Median = 20 , Q3 = 25

Interquartile rage of a data is :

I.Q.R. = Q3 - Q1

I.Q.R. = 25-18 = 7

Therefore the interquartile range of the data set is 7.

The answer is 1967.:

Step-by-step explanation:

Answer:

Area = 13

Step-by-step explanation:

see image. There's a brick of 8 whole squares on the bottom. Then a layer of 3 whole squares on top of that. There's a 1/2 a square besides the 3. Then on top, there is half of a layer of 3 squares. Half of 3 is 1 1/2.

8 + 3 + 1/2 + 1 1/2

= 8 + 3 + 2

= 13

Answer:  2.43

Step-by-step explanation:

The percentage of the increase will be 25% when the number of students in the marching band increased from 100 to 125.

The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.

It is given in the question that the number of students in the marching band increased from 100 to 125 so we need to find the percentage increase of the students.

The percentage increase of the students will be calculated as:-

% increase=[(125-100)÷(100)]x100

% increase=[(25)÷(100)]x100

% increase= [0.25x100]

% increase= 25%

Hence the percentage of the increase will be 25% when the number of students in the marching band increased from 100 to 125.

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Answer:

Slope = 3/2

Step-by-step explanation:

To find the slope you do:

[tex]\frac{y2-y2}{x2-x1}[/tex]

Plug in any two points:

[tex]\frac{-5-(-2)}{0-2} = \frac{-3}{-2} =\frac{3}{2}[/tex]

Answer: the answer is b

Step-by-step explanation:

Answer:

The answer is [tex]\frac{4}{8}[/tex] (see the attached picture)

Step-by-step explanation:

the distance between 0 & 1 is divided into 8 sections, meaning each section = [tex]\frac{(1-0)}{8} =\frac{1}{8}[/tex]

After the first pour the water remains 1/2, after the second 1/3, after the third is 1/4, and after 9 pour the water remains 1/10.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

After the first pour container has = 1/2

After the second pour = 1/3

Third pour = 1/4

After n pour = 1/(n+1)

n = 9

= 1/10

Thus, after the first pour the water remains 1/2, after the second 1/3, after the third is 1/4, and after 9 pour the water remains 1/10.

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Answer:

10 multiply by 8 multiply by 14

= 1120 in³

Answer:

the answer choice is C

Step-by-step explanation:

your welcome

Answer:

Answer: for One Unit to the Left: |1/2 x -3/2|+3

Step-by-step explanation: When translating to the left, you are going to end up with f(x-(-1)) meaning x+1. Even though left means subtracting, in translation it’s adding. (I hope that made sense).

that would create the equation |1/2x(x+1)-2|+3

If you solve that, it would simplify to |1/2x-3/2| which is the answer

Step-by-step explanation:

Answer:

5.  s ÷ 10, 8b, h + 7, 3r - 8

6. 248

Step-by-step explanation:

5.s divided by 10 would be written as s ÷ 10. 8 times b would be written 8b or 8 x b. 7 more than h would be written h + 7 because you are doing 7 more that h not h more than 7. 8 less than the product of 3 and r is written 3r -8 because the word product means to multiply. So, the question is 8 less than 3 times r which is written 3r -8 or (3 x r) - 8.

6. is 248 because if you drive 62 miles each hour and you drive for four hours you will go 248 miles in total. You just multiply 62 times 4.

Hope this helped.:)

So basically, we have [-83, -77] as the whole thing.
There's a circle that limits [-83, -79) as a shaded zone.

Vera claims that -78.9999 [tex]\geq[/tex] X, which is false.
Vera wrote a relation symbol that doesn't represent the ray's direction. She went the other way around.

Answer:

23

Step-by-step explanation:

its going down lower minus by 6.

the x means the answer/number.

the answer is 23 of what i think

By using the graph, all of the true statements that apply include the following:

B. The variables are dollars and hours.

C. Hours is the independent variable and dollars is the dependent variable.

F. The relationship is y = 3.50x.

In Mathematics and Geometry, a proportional relationship is a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:

y = kx

Where:

Next, we would determine the constant of proportionality (k) by using the various data points from table D as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 3.5/1 = 7/2 = 10.5/3

Constant of proportionality, k = 3.50

Therefore, the required linear function is given by;

y = kx

y = 3.50x

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Missing information:

On a coordinate plane, a line goes through points (1, 3.5), (2, 7), (3, 10.5). The x-axis is labeled hours and the y-axis is labeled dollars. Use the graph to find the relationship between the two variables. Select all that apply.

Answer:

20% chance

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Answer:

607.75 cm3

Step-by-step explanation:

v = L*w*h

8.5 * 5.5 * 13 = 607.75

607.75 cm3

Answer:

V= 8.5(5.5)(13)

V = 607.75 cubic inches

Step-by-step explanation:

Volume of a right rectangular prism is V=lwh where l is length, w is width, and h is height.

Answer:

The last test score should be 73

Step-by-step explanation:

[tex]88 = \frac{( 87 + 94 + 86 + 100 + X )}{5}[/tex]  

Add all the values in the parentheses together to get:

[tex]88 = \frac{367 + X}{5}[/tex]

You want to remove the 5 next, so you multiply both sides by 5.

[tex]5 * 88 = \frac{367 + x}{5} *5[/tex]

[tex]88 * 5 = 440[/tex]

You should get:

[tex]440 = 367 + x[/tex]

The last step is to subtract both sides by 367:

[tex]440 - 367 = 73[/tex]

[tex]X = 73[/tex]

I hope this helps!

Answer:

a) 156.25 cm^2  b) 221.67 cm^2  c) 65.42 cm^2

Step-by-step explanation:

a)

We know that the formula for the area of a quadrilateral is Length x Height (A = LH).

Since the length and height of a square is the same, L = 12.5cm and H = 12.5cm.

So we incorporate our formula for the area of a square into this situation:

A = 12.5 x 12.5

A = 156.25 cm^2

b)

We know that the formula for the area of a circle is Pi x radius squared (A = πr^2).

Since we know that the diameter of the circle is 16.8cm, we will use this to find the radius.

Radius can be found by halving the diameter (r = d/2).

So we incorporate our formula for radius into this situation:

r = 16.8/2

r = 8.4cm

Now that we have our radius, we can find the area of our circle.

So we incorporate our formula for the area of a circle into this situation:

A = π(8.4)^2

A = 221.6707776 = 221.67 cm^2

c)

We can see from the diagram that the shaded portion come mainly from the circle.  So to find the area of the shaded part, we can simply subtract the area of the square, from the area of the circle (A of circle - A of square = Area of shaded part).

So we incorporate our formula for the area of the shaded part into this situation:

A = 221.67 cm^2 - 156.25 cm^2

A = 65.42 cm^2

Answer:

[C] 25π square inches

Step-by-step explanation:

Given that:

the long hand of the clock is about 5 inches long.

To Find:

What is the approximate area of the clock face?

Solve:

Formula - A =πr²

Note that;

π = 3.14 (about)

Radius - 5 inches

A =πr²

A = 3.14(5)²

A = 3.14(25)

A = 78.5

Now let see the answer choices:

A.  5π square inches                     ≈   5(3.14) = 15.7

B. 10 π square inches                    ≈  10(3.14) = 31.4

C. 25 π square inches                    ≈  25(3.14) = 78.5

D. 100 π square inches                    ≈ 100(3.14) = 314

Hence, the answer is [C] 25 π square inches

Kavinsky~

Answer:

[C] 25π square inches

Step-by-step explanation:

25(3.14) = 78.5

Answer:

-1/7

Step-by-step explanation:

-3/5(2/7)+4/35-3/10(2/7)

-3/5(2/7)+4/35-3/10(1/7)

-6/35+4/35-3/5(1/7)

-6/35+4/35-3/35

-1/7

Answer:

1. 58.0644

2. 0.01

3. 14.16

Step-by-step explanation:

1. V = l*w*h

   v = 7.62*7.62*1

   v = 58.0644

              or

    v = 7.62*7.62*6

    v = 348.3864

    v = 348.3864/6

     v =  58.0644

2. 1cm/ 100 sticky notes = 0.01

    6cm/ 600 sticky notes = 0.01

3. A=2πrh+2πr2

      =2·π·1.5·2×0.002+2·π·1.52

      =14.15602

The volume of each section will be 58.09364[tex]cm^3[/tex]. The height of one sticky note is 0.06 cm and the surface area of one sticky note is  0.02376 sq inch.

1)The volume of one sticky note can be calculated using the formula for the volume of a rectangular prism :[tex]V = l \times w \times h[/tex], where l is the length, w is the width, and h is the height.

Length (l) = 7.62 cm

Width (w) = 7.62 cm

Height (h) = 1 cm (for each colored stack)

Substituting the values into the formula:

V = [tex]7.62 cm \times 7.62 cm \times 1 cm[/tex]

V = 58.09364[tex]cm^3[/tex].

Since there are 100 sticky notes of each color, the volume of each section can be found by multiplying the volume of one sticky note by 100:

Volume of each section =[tex]58.09364 cm^3 \times 100[/tex]

Volume of each section = 5809.364 cm³

Method 2: Using the total volume of the stack and proportions

The total volume of the stack can be calculated by multiplying the area of the base (length × width) by the total height of the stack.

Given:

Length (l) = 7.62 cm

Width (w) = 7.62 cm

Height of stack = 6 cm

Volume of stack = l × w × height of stack

Volume of stack =[tex]7.62 cm \times 7.62 cm \times 6 cm[/tex]

Volume of stack = 349.52544[tex]cm^3[/tex] (rounded to five decimal places)

Since the stack contains 600 sticky notes in total and each section represents one-sixth of the stack, we can calculate the volume of each section by dividing the total volume by 6:

Volume of each section = Volume of stack  divided by 6

Volume of each section =[tex]\dfrac{349.52544 }{6} cm^3[/tex]

Volume of each section = 58.25424 cm³ (rounded to five decimal places)

The height of one sticky note, we can divide the total height of the stack by the number of sticky notes of each color.

Method 1: Direct division

The height of one sticky note can be found by dividing the total height of the stack by the number of sticky notes in each colored section.

Height of stack = 6 cm

Number of sticky notes per color = 100

Height of one sticky note = [tex]\dfrac{Height of stack } {Number\ of \ sticky \ notes \ per \ color}[/tex]

Height of one sticky note =[tex]\dfrac{6}{100}cm[/tex]

Height of one sticky note = 0.06 cm

By Using proportions, method 2 can be solved

Since each colored section represents one-sixth of the stack, the height of one sticky note can be found by multiplying the height of the stack by [tex]\dfrac{1}{6}[/tex].

Height of stack = 6 cm

Height of one sticky note =[tex]Height of stack \times\dfrac{1}{6}[/tex]

Height of one sticky note =[tex]6\times \dfrac{1}{6}[/tex]

Height of one sticky note = 1 cm

To find the surface area of one sticky note in the circular stack, we need to calculate the surface area of the cylinder and then divide it by the number of sticky notes.

Total number of sticky notes = 400

Diameter of cylinder = 3 in

Height of cylinder = 0.8 in

[tex]\pi[/tex] = 3.14

Calculate the surface area of the cylinder using the formula for the lateral surface area of a cylinder:[tex]A = 2\pi rh[/tex], where r is the radius and h is the height.

Radius (r)  = [tex]\dfrac{3}{2}[/tex]  = 1.5 in

Lateral Surface Area (A) = [tex]2\pi rh[/tex]

A = [tex]2 \times 3.14 \times 1.5 \times 0.8[/tex] in

A = 9.504 sq inch (rounded to three decimal places)

Since there are 400 sticky notes, we can calculate the surface area of one sticky note by dividing the total surface area by 400:

Surface area of one sticky note = [tex]\dfrac{A}{Total\ number of \ sticky \ notes}[/tex]

Surface area of one sticky note = [tex]\dfrac{9.504 }{400}sq \ inch[/tex]

Surface area of one sticky note ≈ 0.02376 sq inch.

The volume of each section will be 58.09364[tex]cm^3[/tex]. The height of one sticky note is 0.06 cm and the surface area of one sticky note is  0.02376 sq inch.

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