A hiking trail is shown as 14 cm on a map.

The scale is 1 : 150000

How far in km is it in real life?

Answers

Answer 1

Answer:

21km

Step-by-step explanation:

1km=100000cm

14x150000=2100000cm=21km

Answer 2

The distance in real life in kilometers by the given scale factor will be 21 kilometers.

What is the scale factor?

You must specify the extent of the shape's enlargement when describing one.

The scale factor is the ratio of two dimensions such that one figure is large and another is small.

The scale factor is done due to the unpractical measurement of any figure.

As per the given,

Scale factor = 1 : 150000

It means 1 cm will convert to 150000 cm.

In real life = 14 x 150000 = 2100000 cm

2100000 cm = 21000 m = 21 kilometer

Hence "The distance in real life in kilometers by the given scale factor will be 21 kilometers".

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Related Questions

Did Cameron beat his best golf score

Answers

Answer: i do not know

Step-by-step explanation:

cause i do not know

If Andrew's batting average is exactly 0.400 going into the series, and that value is based on exactly 2000 career hits out of 5000 previous times at bat, what is the least his average could possibly be when he
goes up to bat the tenth time of the series?

Answers

The least Andrew's average could possibly be when he goes up to bat the tenth time of the series is 0.399.

Here, we are given that,

Andrew's batting average = 0.400

Number of career hits for 0.400 batting average = 2000

Previous bat times for 0.400 batting average = 5,000

Now,

For the least possible average, he must have zero career hits in every match he bats.

Before the tenth time of the series, he will bat in 9 times

He must have 0 career hits in these 9 matches he bats in

therefore,

The total number of career hits = 2000

Total number of bat times = 5,000 + 9 = 5,009

Hence,

Average = (Total career hits) ÷ (Total number of times he bats)

= 2000 ÷ 5,009

= 0.399

Thus, the least his average could possibly be when he goes up to bat the tenth time of the series is 0.399.

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The image below has the following translation: (x, y) → (x +4, y - 1)

Determine the ordered pair for F' after the translation.

a. F' (-1, 3)

b. F' (-9, 5)

c. F' (8, -6)

d. F' (4, -1)

Answers

Check out the attached photo

3. Mr. Brown bought some new shoes for $76.34. If he paid with $100 bill, how much change did he get?


please explain in number form and as little as possible but still explaining​

Answers

Answer:

23.66

Step-by-step explanation:

you just subtract the two.

100.00 - 76.34 = 23.66

Eli runs a distance of 3 miles in 2/5 of an hour. Jess runs a distance of 4/5 mile in 1/10 of an hour. Who had the faster speed? show your work.

Answers

Jess had the faster speed than Eli.

We have the relation connecting Distance travelled, Time taken to travel and the speed given by,

Distance Travelled = Speed x Time taken

Here, we need to find the speed of Eli and Jess to find out who was faster.

So we use the formula, Speed = Distance travelled / Time taken

Distance travelled by Eli = 3 miles

Time taken by Eli = 2/5 hour

Speed of Eli = Distance / Time taken

                    = 3/(2/5)

                    = 15/2 = 7.5 miles per hour

Distance travelled by Jess = 4/5 mile

Time taken by Jess = 1/10 hour

Speed of Jess = Distance / Time taken

                        = (4/5)/(1/10)

                        = 8 miles per hour

Comparing the speeds of Eli and Jess, Jess had the faster speed of 8 miles per hour.

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por que es nesesario expresar un numero mixto como 1 fraccion impropia?

Answers

Es preciso transformar un número mixto en una fracción impropia cuando se requiere calcular la cantidad asociada al número en formato decimal.

¿Qué es un número mixto y una fracción impropia?

En esta pregunta vamos a abordar dos tipos de notación utilizadas entre los números racionales, esto es, números reales de la forma m / n, donde m y n son números enteros y n es distinto de cero.

Tanto los números mixtos como las fracciones impropias son utilizadas para representar números reales mayores que 1, cuyas diferencias se enumeran a continuación:

El número mixto emplea tanto números enteros como fracciones, es de hecho la suma de un número entero y una fracción. (i.e. 1.5 = 1 1 / 2)La fracción impropia es solamente una fracción, en la cual el valor del numerador es mayor que el valor del denominador. (i.e. 1.5 = 3 /  2)

Es preciso transformar un número mixto en una fracción impropia cuando se requiere calcular la cantidad asociada al número en formato decimal.

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describe the translation from figure A to figure B

Answers

Answer:

The figure A is translated from the third quadrant to the second quadrant thus the formula used is P(x,y) = T(a,b) = Image of P(x+a, y+b). The object A and its image B are congruent and the direction and magnitude of the displacements are given by the direction and magnitude of translation vector t = ( a,b ). Where, a is the horizontal displacement ( along x-axis ) and b is the vertical displacement ( along y-axis ).

Find unit rate $602 for 20 hours of work

Answers

I think the answers 30.1

The sum of a number and 7 is less than 15

Answers

n = the number

The words translate into algebra as

n + 7 < 15

Subtract 7 from both sides to find n.

n = 15 - 7 = 8

Is the product of 3/6 times 5/4 equal to the the product of 3/4 times 5/6? Explain

Answers

Answer:

Step-by-step explanation:

Yes the product is equal because even though the numbers may have changed places they did not change the position(numerator to denominator) vice versa.meaning the product of what is in the numerator is equal irrespective of the positions for an e.g in numerator part ion the first terms we have 3*5=15 and in the second scenario we have of course 3*5=15 same applies to the denominators 3*5=5*3

Your club is baking vanilla and chocolate cakes for a bake sale. They need at most 25 cakes. You cannot have more than 10 chocolate cakes. Write a system of inequalities to model this system. Let x be the number of vanilla cakes and y be the number of chocolate cakes.

Answers

The inequalities are x + y <= 15 and y <= 10.

How to express the inequality?

It should be noted that inequality are used to how the relationship between expressions that are unequal.

Let x = the number of vanilla cakes.

Let y = the number of chocolate cakes.

They need at most 25 cakes. This will be x + y <= 15.

They cannot have more than 10 chocolate cakes. This will be:

y <= 10.

Therefore, the inequalities are x + y <= 15 and y <= 10.

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Sheila is baking cookies. The radius of each cookie is 4 centimeters.
What is the circumference of each cookie (use 3.14 for pi and round to
the nearest tenth)?

Answers

The circumference of each cookie is 25 cm.

Circumference is usually referred to the outer length of a circle.

If 'r' is the radius of a circle, then the circumference of the circle is given by 2πr, where π = 3.14.

Here, the radius of the each cookie, r = 4 cm

Then the circumference of each cookie = 2πr

                                                                  = 2 x 3.14 x 4

                                                                  = 25.12

                                                                  = 25 cm  

[Rounding to the nearest tenth, as 1 and 2 are less than 5, 25.12 will be 25]

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Jade is stranded downtown with only $10 to get home. Taxis cost $0.75 per mile, but there is an additional $2.35 "hire" charge. Write a formula and use it to calculate how many miles Jade can travel with her money.

Answers

10=0.75x + 2.35

She starts with 10 dollars and when she get a taxi they will charge 0.75 per mile (x) and this will add a 2.35 fee at the end

If we solve for x formula ends as:
X=(10-2.35)/0.75

(4x+5)+(-5x-1) help me solve this I’m struggling

Answers

Answer:[tex]-x+4[/tex]

Step-by-step explanation:

Combine like terms:

[tex](4x+-5x)+(5+-1)[/tex]

[tex]= -x+4[/tex]

y+1-x when x=4 and y=5

Answers

Answer:

2

Step-by-step explanation:

Y = 5

x = 4

Substitute

5 + 1 - 4

6 - 4

2

Answer:

Given that x = 4 and y = 5,

[tex]\sf 5 + 1 - 4\\(5 + 1) - 4\\5 + 1\\= 6\\= 6 - 4\\= 2[/tex]

Therefore, the answer is 2.

Can someone please find x ?

Answers

Answer:

Step-by-step explanation:

Write an algebraic expression that represents the following situation: An Uber driver earn $15 per hour driving per day, but also spends $20 a day on gas. Let h represent the number of hours driven in a day. Write an expression for the amount of profit an Uber driver earns in one day.

Answers

Answer:

h * $15 - $20

Step-by-step explanation:

h - number of hours per day

$15 - earnings per hour

$20 cost per day

h * $15 - gross earnings per day

h * $15 - $20 - net earnings per day

Is a = 8 a solution to 6 = a/4 + 2

Answers

Nope no no Nono no on nopedy nope

Figure A is a scale image of Figure B.

What is the value of x?

FAST!!! 20 POINTS AND THE BRAINLIEST FOR THE FIRST CORRECT ANSWER

Answers

Answer:

21

Step-by-step explanation:

If A 45 translates to be 35, then x can be given by (35×27)÷45 =21


Find the missing side length, s.
help!!

Answers

Answer:

The missing side length is 11.

Step-by-step explanation:

On the smaller figure the AB side is 6 and on the bigger figure the XY side  is 9. There was an increase of 3 so that means there will be an increase of 3 on  the XZ side compaered to the AC sdie witch is 8. 8 + 3 = 11.

Some college advisors noticed the following breakdown of majors for the incoming freshman at their school: 3% math, 22% nursing, 16% psychology, 11% criminal justice, and 48% business. Suppose a first-year student was chosen at random. Which of the following is the probability distribution for that student’s major?

Answers

Answer:

The correct answer is B, I took the test :)

You just turn the percentages into decimals

The probability distribution table is formed clearly in the answer part.

What is probability?

Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.

The probability of any event always lie in the close interval of 0 and 1 [0,1].

The probability for all the elements in the sample space can be shown in one table known as distribution table.

Suppose X be the event of choosing a major.

Then, its probability can be given as P(X).

Here, the percent value of a given event is equivalent to their probability.

It can be represented in the form of table as,

X (Major chosen by student)                              P(X) (Probability)

    Math                                                                    3% = 0.03

   Nursing                                                                22% = 0.22

  Psychology                                                           16% = 0.16

 Criminal justice                                                      11% = 0.11

   Business                                                              48% = 0.48

This table is known as the probability distribution table.

Hence, the probability distribution table is formed by calculating the probability for each of the events.

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Evaluate this 5 2/3 + 11/12 =
pls tell me the answer ASAP

Answers

Answer:

6[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Another way to write 5 2/3 is to change this into an improper fractions.  Another names for 1 is 3/3.  I am going to add 5, 3/3 to 2/3

3/3 + 3/3 + 3/3 + 3/3 + 3/3 + 2/3 = 17/3

We want to add this to 11/12, but to do that we need a common denominator.  I need to make an equivalent fraction of 17/3 where 12 is the denominator

[tex]\frac{17}{3}[/tex] x [tex]\frac{4}{4}[/tex] = [tex]\frac{68}{12}[/tex]  Now we can add the two fractions together.

[tex]\frac{68}{12}[/tex] + [tex]\frac{11}{12}[/tex] = [tex]\frac{79}{12}[/tex] = 6[tex]\frac{3}{4}[/tex]

How many chicks will hatch from 4,500 eggs if on average 87 chicks hatch from 100 eggs?​

Answers

Answer:

33915

Step-by-step explanation:

87% is the average, so you have to find 87% of 4500.

3. Find the circumference of the circle. Use 3.14 for the value of . Round your answer to the nearest tenth. 64.1 in 63.4 in 19.9 in 62.8 in 20 in​

Answers

Answer:

62.8 in

Step-by-step explanation:

The circumference, C.  of a circle with diameter d is given by the formula

[tex]C = \pi d[/tex]

Here  [tex]\pi = 3.14[/tex] and [tex]d = 20[/tex] in

So circumference = 3.14 x 20 = 62.8 inches

Hi ~

I need help please...

I know this is a simple question.

but- I just want to know if someone can solve this without cheating at all... and make into your own words.

[tex]\rightarrow{\sf{{What \: is \: -26x \: - \: 12 \: = 15?[/tex]

Thanks~

Answers

Answer:

x would equal -1.03(1 DP)

"-26x - 12 = 15, solve for x."

Step-by-step explanation:

Start with adding 12 to both sides of the expression. Sides were switched purposely.

[tex]15 + 12 = -26x - 12 + 12[/tex]

Next, simplify your addition process. You do this by using a specific rule.

[tex](-a) = a\:\:\mathrm{if\:a\neq 0}\\-26x = 26x\\26 + (x)\\= 26 + 1\\= 27\\= -26x=27[/tex]

Lastly, we are going to divide both sides by -26(x was cancelled).

[tex]\frac{-26x}{-26}=\frac{27}{-26}[/tex]

Thus,

[tex]x= -1.03[/tex]

➲ Hope this helps, address any concerns if needed.

Answer:

x = -1.038

Step-by-step explanation:

- 26x - 12 = 15

- 26x = 15 + 12

- 26x = 27

x = - 27/26

x = - 1.038

__________

hope this helps!

Find and simplify the difference quotient
f(x) = -x²+2x+5
f(x+h)-f(x)
————————
h
w an example
=
Get more help
f(x+h)-f(x)
——————
h
h#0 for the given function

Answers

Given difference quotient is f(x) = -x²+2x+5.

Simplified version is (f(x + h) - f(x))/h = 1.

What is difference quotient?

If f(x) = x - 5, then

f(h) = h - 5

f(x + h) = (x + h) - 5

(f(x + h) - f(x))/h = (((x + h) - 5) - (x - 5))/h

(f(x + h) - f(x))/h = (x + h - 5 - x + 5)/h

(f(x + h) - f(x))/h = h/h

(f(x + h) - f(x))/h = 1

since h ≠ 0.

The average rate of change of the function over an interval is measured by the difference quotient (in this case, an interval of length h). The instantaneous rate of change is hence the limit of the difference quotient (i.e., the derivative).

The slope of secant lines can be calculated using the difference quotient. Almost identical to a tangent line, a secant line traverses at least two points on a function.

That equation is known as a difference quotient because both the numerator and denominator are differences.

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Two dozen eggs and a loaf of bread cost K4.94. Half a dozen eggs and two loaves of bread cost K2.32. Find the cost of a dozen eggs.

Answers

The cost of a dozen of eggs is $3.

Given two dozen eggs and a loaf of bread cost K4.94 and

Half a dozen of bread cost K2.32

Cost of a dozen of eggs = ?

we know that, 24E ₊ B = 8.50 and

6E ₊ 2B = 6.50

multiply the first equation by 2 and substract

48E ₊ 2B = 17

6E ₊ 2B = 6.50

after solving both equations we get:

42E = 10.50

we are searching for the value of a dozen eggs, which is 12E

multiply 42E = 10.50 by 12/42 = 6/21

and you get

12E = 10.50 × (6/21) \\ 10.50 = 21/2

12E = (21×6)/(2×21)

12E = 3

so a dozen eggs cost 3 dollars.

Hence we get the cost of a dozen of eggs as $3

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There are 31 horses competing in a show, how many ways can the blue,red,and yellow ribbons be awarded

Answers

If there are 31 horses competing in a show, then the blue, red, and yellow ribbons can be awarded in 26970 different ways.

As per the question statement, 31 horses are competing in a show.

We are required to calculate the number of ways in which the blue, red and yellow ribbons can be awarded.

To solve this question, first, we need to know a basic rule of horse shows, which is the 1st place or the winner is awarded with a blue ribbon, the second place or the runners-up is awarded with a red ribbon and the third place or the second runners-up is awarded with a yellow ribbon.

That is, in simpler terms, we have to calculate the number of different ways, in which the first, second and third places can be achieved between 31 different horses, each having equal probability of winning.

To solve this question, we just need to know the formula of permutation which goes as [tex][(nPr)=\frac{n!}{(n-r)!} ][/tex],  i.e., we are to select an ordered set or "r" from a set of "n".

As per our question, (n = 31) and (r = 3), and using these in the above mentioned formula of permutation, we get

[tex](31C)=\frac{31!}{(31-3)!}=\frac{31!}{28!} =\frac{28!*29*30*31}{28!}=(28*29*30)=26970.[/tex]

That is, the blue, red and yellow ribbons can be awarded in a show with 31 horses as contestants in 26970 different ways.

Probability: In mathematics, probability of an event is the extent to which it is likely to occur, measured by the ratio of the favorable cases to the whole number of cases possible.Permutation: In mathematics, a permutation of a set is an arrangement of its members into a particular sequence, or if the set is already ordered, a rearrangement of its elements.

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Amanda is framing her pool for resurfacing. The pool began with 14,340 gallons of water and it is draining at a rate of 880 gallons per hour. How long has the pool been draining if currently there are 8,840 gallons in the pool.

Answers

The number of hours that the the pool been draining if currently there are 8,840 gallons in the pool is 6.25 hours.

How to calculate the time?

Let the time taken be represented by h.

Therefore, the appropriate expression will be:

14340 - 880h= 8840

Collect like terms

880h = 14340 - 8840

880h = 5500

h = 5500/880

h = 6.25 hours

The number of hours is 6.25 hours.

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A principal has given a class $75 to help pay for a field trip to a zoo. The students in the class are selling pies for
$5 each to earn the rest of the money they need. The field trip will cost a total of $386.
Which inequality can be used to findp, the number of pies the class needs to sell in order to earn enough money to
pay for the field trip?
A 5p+75 ≤ 386
B 5p+752 386
C 75p+52 386
D 75p+5≤ 386

Answers

I'd say its A because:

5x#of pies + the money the principal pitched in (75) is less than or equal to 386 dollars (their goal for the field trip).

The inequality equation is given by 5p + 75 ≤ 386 , where p is the number of pies the class sells

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality relation be represented as A

Let the number of pies the class sells be p

Now , the equation will be

The total amount for the field trip = $ 386

The amount given to the students = $ 75

The cost of 1 pie = $ 5

So , the cost of p pies = 5p

Now , the total amount with the students = cost of p pies + amount given to the students

Substituting the values in the equation , we get

5p + 75 ≤ 386

Therefore , the value of A is 5p + 75 ≤ 386

Hence , the inequality relation is 5p + 75 ≤ 386

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