The scale on a map is 2 cm represents 1 km.
The distance between two villages on the map is 9 cm.

What is the actual distance between the two villages?

Answers

Answer 1

Answer:

4.5km

Step-by-step explanation:

2cm=1km

9cm=xkm

so to get from 2 to 9 all you do is multiply by 4.5 so do this the km and you will get 4.5km :)


Related Questions

a) Work out the value of angle x.

b) Give reasons for your answer.

Answers

Answer:

60 degrees

Step-by-step explanation:

The bottom and top horizontal lines are parallel. This means x and the bottom right angle in the triangle are the same. Because of the lines going through the triangle's sides we know the triangle's lengths are the same, making it an equilateral triangle. In an equilateral all angles are the same size: 60 degrees.

11/12 x 6/11 in simplest form

Answers

1/2 is the answer have a good day

Step1. Formulate two real-life problems involving system of linear inequalities in
two variables.
Step2. Solve the problems you formulated accurately. Show complete solution then
graph.​

Answers

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A coffee shop sells refill mugs for $7.50 each. Each coffee refill costs $1.75. Last month, Cody spent $42.50 on a mug and refills. Which equation can you use to find how many refills Cody bought. (Let x = the number of refills) How many refills did Cody buy last month? 10, 12, 20, or 25

Answers

Answer:

cannot see equations to select from but I got '7.50 + 1.75x = 42.50'

20 refills

Step-by-step explanation:

7.50 + 1.75x = 42.50

1.75x = 35

x = 35 / 1.75

x = 20

Let
P be a polynomial function, and
P(x) = 23 – dx2 - 4x – 20. If
(2 – 2) is a factor of the polynomial, what is the value of
d?

Answers

Answer:

The value of d = -5

The polynomial function   x³ +5 x² - 4x -20 =0

Step-by-step explanation:

Explanation

Given that the equation is third degree polynomial

p(x) = x³ - d x² - 4x -20

Given factors x= 2 and x=-2

Substitute 'x' = 2 in given polynomial

     8 -d(2²)-4(2) - 20 =0

⇒   8 - 4 d - 8 -20=0

⇒     - 4 d-20 = 0

⇒    - 4 d = 20

⇒         d = - 5

The value of d = -5

Verification:-

After substitution d =-5 in given polynomial

x³ - (-5) x² - 4x -20 =0

put x=2

8 +5(4)-8-20 =0

             20 =20

The factors are x= 2 and x=-2 of the given polynomial

A tool manufacturer has fixed costs of $68.00 a day and variable costs of $1.00 per screwdriver
produced. The company gets $2.50 per screwdriver sold. How many screwdrivers must be produced
daily to break even? Your answer should be a number only.

Answers

Answer:

46

Step-by-step explanation:

To breakeven, the total cost of the company which is the sum of the fixed and variable cost will be equal to the total sales of the company such that the profit/loss is zero.

Let x be the number of screwdriver that must be produced  daily to break even

Then

68 + 1 * x = 2.5 * x

68 + x = 2.5x

collect like terms

68 = 2.5x - x

1.5x = 68

Divide both sides by 1.5

x = 68/1.5

= 45.33

This would be approximated to 46 screws

-1<9+n<17 and graph the answer after

Answers

Answer:

We get [tex]\mathbf{n>-10\:\:and\:\:n<8}[/tex]

Or we can write as:  [tex]\mathbf{-10<n<8}[/tex]

The graph is shown is figure attached below:

Step-by-step explanation:

We need to solve the inequality [tex]-1<9+n<17[/tex] and graph the answer.

Solving the inequality

[tex]-1<9+n<17[/tex]

We know that if a<u<b then we can write a<u and u<b

So, we can write

[tex]-1<9+n \:and\: 9+n<17[/tex]

Solving these equations and finding values of n

[tex]-1<9+n \:and\: 9+n<17\\9+n>-1\:and\:9+n<17\\n>-1-9\:and\:n<17-9\\n>-10\:and\:n<8[/tex]

So, we get [tex]\mathbf{n>-10\:\:and\:\:n<8}[/tex]

We can write it as: -10< n and n<8

Overlapping we get: [tex]\mathbf{-10<n<8}[/tex]

The graph is shown is figure attached below:

At the start of the school year, there were 72 boxes of coloring pencils in the art room, with each box containing 12 packs. During the school term , 58 boxes were used. How many packs of coloring pencils were left?

Answers

Answer:

Take away the 58 boxes from the 72 boxes and you will have 14 boxes left.

Then you have to multiply the 14 boxes left, by the 12 packs of pencils what gives you 168 packs of colouring pencils left.

The letters from the word MATHEMATICS are placed in a hat. What is the probability of selecting an M and then selecting a T if the letters are selected at random and not replaced?

Answers

The probability of selecting M and T are 4

If you add​ Natalie's age and​ Fred's age, the result is 38. If you add​ Fred's age to 4 times​ Natalie's age, the result is 74. Write and solve a system of equations to find how old Fred and Natalie are.

Answers

Answer:

hmmhhhhhhhhbmmmmhhhm

Answer:

Fred is 26 and Natalie is 12

Step-by-step explanation:

X= Fred's age

Y= Natalie's age

x+y=38

x+4y=74

Use the first equation and isolate the variable x to one side.

x+y=38

 -y= -y

x=38-y

Now use this equation and subsitute it into the second equation.

(38-y) + 4y = 74

Simplify to find y

38+3y=74

-38     =-38

3y=36

÷3   ÷3

y= 12

Now that we know y, input it into the second equation to find x.

x+12=38

  -12   -12

x= 26

Fred is 26 and Natalie is 12

hope this helps :)

Please please help

Find the measure of the missing angle.
63°

Answers

Answer:

27 degrees

Step-by-step explanation:

Answer:

a = 27° ______

Step-by-step explanation:

~~~~~~~~~~

need help with the slope​

Answers

Answer:

for sure it's a negative since the slop is going down.. other than that, that's all I can help you with since I'm barely learning about that too :)

Please help. I need to know the answer. I will give brainliest

Answers

9514 1404 393

Answer:

1 4 8 9

Step-by-step explanation:

blank 1

Locate x = 7 and find the y-value where the blue curve crosses.

  f(7) = 1

blank 2

Locate x = -9 and find the y-value where the red curve crosses.

  g(-9) = 4

blank 3

Locate y = 0 (the x-axis) and find the x-value where the blue curve crosses.

  f(8) = 0

blank 4

Locate y = 2 and find the x-value where the red curve intersects.

  g(9) = 2

HELPP PLEASE WILL GIVE BRAILIEST ​

Answers

Answer: 81 - 74 = 7

Have a great day!

What is the value of ⅝ ÷ ⅖

Answers

Answer:

25/16

Step-by-step explanation:

Remember, keep-change-flip

Turn this into a multiplication equation

[tex]\frac{5}{8} * \frac{5}{2}[/tex]

Multiply to get 25/16

find the surface area of a cuboid 7cm by 2cm by 2cm​

Answers

Answer:

Step-by-step explanation:

There are 4 sides that will be 7cm×2cm

14cm x 4 = 56cm

2 sides which are 2cm × 2cm = 4cm

4cm × 2 = 8cm

56cm + 8cm =

64cm squared

Game stop buys a game for $28 and marks the game up 64%. How much will you pay for the game?

Explain it and answer it please.

Answers

you would pay $10.08 for the game.

you would multiply 28 by the 64% (0.64). when you multiply, you should get $17.92. you take that price and subtract from the initial amount ($28), & you should get the final price which is $10.08 .

A hamburger weighs ⅓ pound, and an order of french fries weighs ¼ pound. How many pounds total will a meal of hamburger and french fries weigh

Answers

Answer:

Hi

Step-by-step explanation:

3
Solve for x.
-2x + 6 + 4x = -12

Answers

x=-9

-2x+6+4x=-12
combine like terms
2x+6=-12
subtract 6 from both sides
2x+6-6=-12-6
simplify
2x=-18
divide both sides of the equation
2x/2= -18/2
simplify
x=-9

In which of the following situations would it be appropriate to use a Normal distribution to approximate probabilities for a binomial distribution with the given values of n and p?
(a) n = 10, p = 0.5
(b) n = 40, p = 0.88
(c) n = 100, p = 0.2
(d) n = 100, p = 0.99
(e) n = 1000, p = 0.003

Answers

Answer:

(c) n = 100, p = 0.2

Step-by-step explanation:

To approximate to use the normal distribution for a binomial, we need that:

[tex]np \geq 10, n(1-p)\geq 10[/tex]

So, for each option

(a) n = 10, p = 0.5

[tex]np = 10*0.5 = 5 < 10[/tex]

So not appropriate

(b) n = 40, p = 0.88

[tex]np = 40*0.88 = 35.2 > 10[/tex]

[tex]n(1-p) = 40*0.12 = 4.8 < 10[/tex]

So not appropriate.

(c) n = 100, p = 0.2

[tex]np = 100*0.2 = 20 > 10[/tex]

[tex]n(1-p) = 100*0.8 = 80 > 10[/tex]

So appropriate

(d) n = 100, p = 0.99

[tex]np = 100*0.99 = 99 > 10[/tex]

[tex]n(1-p) = 100*0.01 = 1 < 10[/tex]

So not appropriated

(e) n = 1000, p = 0.003

[tex]np = 1000*0.003 = 3 < 10[/tex]

So not appropriate

A Normal distribution to approximate probabilities for a binomial distribution with the given values of n = 100 and p = 0.2.

Given that,

Normal distribution to approximate probabilities for a binomial distribution with the given values of n and p.

We have to determine,

In which of the following situations would it be appropriate to use a normal distribution to approximate probabilities for a binomial distribution with the given values of n and p.

According to the question,

Probabilities for a binomial distribution with the given values of n and p.

(a) n = 10, p = 0.5

(b) n = 40, p = 0.88

(c) n = 100, p = 0.2

(d) n = 100, p = 0.99

(e) n = 1000, p = 0.003

To approximate to use the normal distribution for a binomial is given as,

[tex]np\geq 10 , \ n(1-p)\geq 10[/tex]

When n = 10 and p = 0.5,

        [tex]= np \geq 10\\\\= 10 \times 0.5 = 5<10[/tex]

The normal distribution is less than 10 so, this not appropriate.

When n = 40 and p = 0.88,

        [tex]= n.p \geq 10\\\\= (40).(0.88) \geq 10\\\\= 35.2\geq 10\\\\Then,\\=n(1-p) = 40(1-0.88) \geq 10 \\\\= 40\times 0.12 \geq 10 = 4.8\leq 10[/tex]

The normal distribution is less than 10 so, this not appropriate.

When n = 100 and p =0.2,

        [tex]= n.p \geq 10\\\\= (100).(0.2) \geq 10\\\\= 20\geq 10\\\\Then,\\=n(1-p) = 100(1-0.2) \geq 10 \\\\= 100\times 0.8\geq 10 = 80\geq 10[/tex]

The normal distribution is greater than 10 so, this appropriate.

When n = 100 and p = 0.99,

        [tex]= n.p \geq 10\\\\= (100).(0.99) \geq 10\\\\= 99\geq 10\\\\Then,\\=n(1-p) = 100(1-0.99) \geq 10 \\\\= 100\times 0.01\geq 10 = 1\leq 10[/tex]

The normal distribution is less than 10 so, this not appropriate.

When n = 1000 and p = 0.003,

        [tex]= np \geq 10\\\\= 1000 \times 0.003 = 3<10[/tex]

The normal distribution is less than 10 so, this not appropriate.

Hence, A Normal distribution to approximate probabilities for a binomial distribution with the given values of n = 100 and p = 0.2.

To know more about Binomial Distribution click the link given below.

https://brainly.com/question/16776778

20 points need help math equation

Answers

Answer:

47.3

Step-by-step explanation:

180-90-42.7=47.3

Answer:

47.3

Step-by-step explanation:

this is a right triangle, which means that Angle O is 90°

90 + 42.7 = 132.7

180 - 132.7 = 47.3

Are these correct please help

Answers

Answer:

x=x+1 is correct, -6x=-5(x-1)-1x is correct, 7(x-5)=x+13 is correct, x=x is correct, x+4=x+4 is correct.

5(x+2)=25 should go in one solution.

2x+2=2(x+1) should go into infinite solutions.

2x+3=2x+5 should go into no solution.

9x+1=9x should go into no solution.

2x+8=16 should go into one solution.

3x+1=31 should go into one solution.

Step-by-step explanation:

Explanation(s):

5(x+2)=25:

One value of x will equal 25, which is 3. You can solve this in two ways, calculations or graphing. I will show you both ways. You'll get 5x+10 from 5(x+2). Then you can subtract ten from both sides to isolate x, 5x=15. Then divide both sides by five to find what x equals, which is three. By graphing both the equations 5x+10 and y=25, you'll find that both of the lines intersect at (3,25), the x value of the coordinate is what x will equal, and there's only one intersection so there's only one solution.

2x+2=2(x+1):

The equation will be the exact same on both sides, which means all values of x will be a solution. If you were to graph both equations, they'd overlap perfectly, resulting in an infinite amount of intersections.

2x+3=2x+5:

The equation cannot be simplified any further, and 2x+5 is transformed two units above the equation 2x+3. If you were to graph both of these equations, they will never intersect for any value of x, which means no solutions.

9x+1=9x:

The equation cannot be simplified any further, and 9x+1 is transformed one unit above the equation 9x. If you were to graph both of these equations, they will never intersect for any value of x, which means no solutions.

2x+8=16:

Subtract eight from both sides, then divide both sides by two to get x=4. This means that there is only one solution for the equation. Alternatively, you could graph 2x+8 and y=16, and they will intersect at the point (4,16), which is only one solution.

3x+1=31:

Subtract one from both sides, divide by three to get x=10. There is only going to be one solution for the equation. Graph 3x+1 and y=31 to find that both the lines intersect at (10,31).

Solve 10 + 6(–9 – 4x) = 10(x – 12) + 8.

A)

x = –6

B)

x = 2

C)

x = 17

D)

x = –18

Answers

Answer: x = 2

Step-by-step explanation:

first, we remove the parentheses.

10 - 54 - 24x = 10x - 120 + 8

then, we just calculate that out.

-44 - 24x = 10x - 112

next, we move the terms.

-24x - 10x = -112 + 44

then, we collect the like terms and calculate it.

-34x = -68

finally, we divide both sides.

x = 2

What is the mean absolute deviation
of the following set of data?
4
6
6
2
Pls help.

Answers

Answer:

72

Step-by-step explanation:

4+6+6+2=18

and u added 4 numbers so 18×4=72

The answer would be 6 I think

4 times 4 times 4 times 4 times4 times 4. Using exponents, the expression is?

Answers

Answer:

It will have a 4 and then a five on the top right of it.

Step-by-step explanation:

4^5

Answer:

4^{5}

Step-by-step explanation:

Just basically what the other person said.  

4 exponent 5

A snail crawls 9 millimeters per second. How many centimeters can it crawl in 50 seconds?

Answers

Answer:

450 millimeters

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Solve for t in terms of u, v, w, and x.

Answers

Answer:

there's no image lol

Step-by-step explanation

triangle KLM ~ triangle KQP are similar. Solve for x. ​

Answers

The value of x is 5.

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

ΔKLM ≈ ΔKQP

This means,

KL/KQ = KM/KP

(3x - 1) / 7 = 8/4

Cross multiply.

3x - 1 = 2 x 7

3x - 1 = 14

3x = 14 + 1

Divide both sides with 3.

3x = 15

x = 5

Thus,

x is 5.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ1

find the difference -11 - -5, 25 - (-3) ,-7 - (-2), 4 - 15, 6 - (-9)

Answers

Answer:

-11-(-5)= -6

25-(-3)= 28

-7-(-2)= -5

4-15= -11

6-(-9)= 15

HELP ME PLS I WILL CRY I HAVE SO MUCH TESTS AND ESSAYS DUE PLS SHOW WORK

Answers

Answer:

180 minutes

Step-by-step explanation:

60x3

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