Mathematics High School

on a map with a scale 1:100,000 the distance between two cities is 12cm. what would be the distance between these two cities on a different map with a scale 1:300,000?

Answers

Answer 1

Part 1)

we have

the scale is [tex]1:100,000[/tex]

the distance on a map is [tex]12\ cm[/tex]

we know that

The scale is equal to the distance on a map divided by the real distance

Let

x------> distance on a map

y-------> real distance

S-------> scale

[tex]S=\frac{x}{y}[/tex]

In this part we have

[tex]S=\frac{1}{100,000}[/tex]

[tex]x=12\ cm[/tex]  

Find the value of y

[tex]y=\frac{x}{S}[/tex]

Substitute the values

[tex]y=\frac{12}{(1/100,000)}[/tex]

[tex]y=1,200,000\ cm[/tex]

Convert to kilometers

[tex]y=12\ Km[/tex]

Part 2)

In this part we have

[tex]S=\frac{1}{300,000}[/tex]

[tex]y=12\ km[/tex]  

Find the value of x

[tex]x=S*y[/tex]

Substitute the values

[tex]x=(1/300,000)*12[/tex]

[tex]x=0.00004 Km[/tex]

Convert to centimeters

[tex]x=4\ cm[/tex]

therefore

the answer is

The distance is [tex]4\ cm[/tex]

Related Questions

Nicholas bicycled 15.8 kilometers each day for 18 days last month. how many kilometers did he bicycle last month?

Answers

15.8 km each day for 18 days...

so he biked a total of (15.8 * 18) = 284.4 km <==

The Pythagorean formula is c^2 = a + b.
true
false

Answers

false.

 the Pythagorean formula is c^2 = a^2 + b^2

A carpet sells for $27.99 a square yard. what is the price of the carpet per square meter?

Answers

Note that
1 yd = 0.9144 m
1 yd² = (0.9144 m)² = 0.8361 m²

The carpet sells for $27.99 per square yard.
Therefore the selling price is
[tex](27.99 \, \frac{\$}{yd^{2}} )*( \frac{1}{0.8361} \, \frac{yd^{2}}{m^{2}} ) = 33.48 \, \frac{\$}{m^{2}} [/tex]

Answer: $33.48 per square meter.

Geometry help please

Answers

The area is The (base * Height)/2

This means that the area is...
(20*5)/2 = 50

Hope this helps! :)

area = 1/2 base x height

 1/2 x 20 x 5 = 50

 answer is B 50

solve the following equation 3x-5=x+12

Answers

Hi Mreana7

add 5 to both sides

simplify x + 12 + 5 to x + 17

subtract x from both sides

simplify 3x - x to 2x

divide both sides by 2

Answer: x = 17/2.

Help with rate of sales tax

Answers

well, he paid 20.51 total, but the retail price is just 18.99, so he ended up paying 20.51 - 18.99 extra, or 1.52.

so, if we take 18.99 to be the 100%, how much is 1.52 in percentage off of it?

[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 18.99&100\\ 1.52&t \end{array}\implies \cfrac{18.99}{1.52}=\cfrac{100}{t}\implies t=\cfrac{1.52\cdot 100}{18.99}[/tex]

I need help with number 26 and 27, thanks.

Answers

As stated above in the comments ^^

26 is y = 2/3x - 14/3

27 is y = -3x + 11

Let me know if you ever want the explanation! Hope this helps!

3(t-7) =6. Solve for the and show steps
8(h-9) =8 solve for h and show steps
9+2(z-2) =15 solve for z and show steps

Answers

 [tex] 3(t -7) = 6 \\ 3(t) + 3(-7)\\ 3(-7) = -21 \\ 3t = 3t \\ 3t - 21 = 6 \\Add21: 3t - 21 + 21 = 6 +21 \\ 3t = 21: Divide3 \\ \frac{3t}{3} cancel = \frac{27}{3}keep \\ t = 9 [/tex]
________________________________________________________________
 [tex]8(h - 9) = 8 \\ 8h - 9 = 9 \\ 8h = 8h \\ 8(-9) = -72\\ 8h + (-72) = \\ 8h - 72 = 8 \\ Add72: 8h - 72 + 72 \\ = 8 + 72 \\ divide8 : \frac{8h}{8}cancel = \frac{80}{8} (keep) \\ h = 10 [/tex]
________________________________________________________________
 [tex]9 + 2(z - 2) = 15 \\ 9+2(z)+ 2(-2)= 15 \\ 2(-2) = -4 \\ 9 +2z = ? \\ 9 +2z+4 = 15\\ Subtract5: 2z + 5 -5 \\ = 15 -5 \\ Divide2: 2z = 10 \\ \frac{2z}{2}cancel = \frac{10}{2} = 5 \\ z = 5 [/tex]
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good luck on your assignment and enjoy your day

~[tex]MeIsKaitlyn:)[/tex]

What is the value of 6 in 342.76?
A six ten-thousandths
B six thousandths
C six tenths
D six hundredths

Answers

the second digit to the right of the decimal point is the hundredths place

 so it is D. 6 hundredths.

The answser is D) six hundreths

Write a story that could describe the expression:-9-5x

Answers

Answer:

Step-by-step explanation:

Emily has a lemonade stand she starts with -9 dollars. Everyday Emily loses 5 dollars.

Write an equation of the line containing the point (3,5)and perpendicular to the line 2x- 3y

Answers

Answer:

The equation of the line would be y = -3/2x + 19/2

Step-by-step explanation:

First we need to solve the original equation for y so that we can find the slope.

2x - 3y = 0

-3y = -2x

y = 2/3x

So since the equation has a slope of 2/3, we know the perpendicular slope would be -3/2 (since perpendicular slopes have opposite and reciprocal slopes). Then we can use this and the ordered pair in point-slope form.

y - y1 = m(x - x1)

y - 5 = -3/2(x - 3)

y - 5 = -3/2x + 9/2

y = -3/2x + 19/2

he editors found that 0.0016 of the words in the book were misspelled. if there were 250,000 words in the book how many words were spelled properly

Answers

Since 0.0016 of the words were misspelled (and it's not in a percent), we can multiply 250,000 by 0.0016 to get 400
the answer is 400 
(⌐■_■)

What is the range of the following set of numbers? 114, 90, 83, 101, 97, 142, 117, 87, 72

Answers

the range of that set is 70, because you take the highest number and subtract the lowest number

Answer:

The answer is 70

Step-by-step explanation:

What is the value of n?



−6.5(n−5)=18.2

Answers

the value of n is 2.2

Jennifer is saving money to buy a bike. The bike costs $245. She has $125 saved, and each week she adds $15 toher savings. How long will it take her to save enough money to buy the bike?

Answers

125 135 145 155 165 175 185 195 205 220 235 245= 11 weeks

Use the number line below to find the midpoint of AD

Answers

midpoint of line AD = (-7+1) ÷ 2
= -6 ÷ 2
= -3

The midpoint of AD is -3.

what is thr difference between dividing 16 by 2 and finding the square roots of 16?

Answers

When you divide a number by two, you find the number that if you add it to itself, become the original number. 

When you square root a number, you find the smaller number that becomes the bigger number if you multiply it by itself.

For sixteen, if you divide it by two, you get 8, while if you square root it, it becomes 4.

The difference between them is 4

Difference between both operations

To solve this, let us find the value of 16 by 2

[tex]\frac{16}{2} = 8[/tex]

What is the square root of 16?

The square root of 16 is given as

[tex]\sqrt{16} = 4[/tex]

The difference between dividing 16 by 2 and square root of 16 is

[tex]8 - 4 = 4[/tex]

The operations which we performed are

[tex]\frac{16}{2}[/tex][tex]\sqrt{16} = 4[/tex]

And the difference between them is 4.

Learn more on mathematical operations here;

https://brainly.com/question/10873737

Write a quadratic function f whose zeros are 2 and 9 .

Answers

A quadratic function, when factored, is written as two binomials e.g. (x+2)(x-1), right? When we set each binomial equal to zero and solve, we get the x-intercepts of the graph...the zeros of the quadratic.

For this system, x=2 and x=9 are the zeros. 
Therefore (x-2) and (x-9) are the binomials which solve to those zeros.
Multiply the binomials together to get the quadratic:

(x-2)(x-9) = x² - 11x + 18

f(x) = x² - 11x + 18

Substituting these values into the general form of a quadratic equation

f(x) = x²  -  11x   +  18    

A quadratic equation is of the form:

f(x) = x²  -  (Sum of roots)x  +  (product of roots)

The given roots are 2 and 9

Sum of roots = 2 + 9

Sum of roots = 11

Product of roots = 2 x 9

Product of roots = 18

Substituting these values into the general form of a quadratic equation

f(x) = x²  -  11x   +  18    

Learn more here: https://brainly.com/question/1214333

a sealed rectangular box measuring 8 x 6 x 18 contains 864 sugar cubes, each measuring 1 x 1 x 1. How many sugar cubes are touching the box ?

Answers

The surface area of each face of a sugar cube is 1*1 = 1 units²

The rectangular box has 6 faces in contact with sugar cubes.
The area of each of two faces is 18*6 = 108 units²
Therefore these two faces touch 2*108 = 216 cubes

There are two other faces each of area 18*8 = 144 units²
Therefore these two faces touch 288 cubes.

There are another two faces, each of area 6*8 = 48 units².
Therefore these faces touch 96 cubes.

The total number of cubes touching the faces of the box are
216 + 288 + 96 = 600

Answer: 600 cubes

Find the cost per ounce of a sunscreen made from 100 oz of a lotion that costs $1.50 per ounce and 150 oz of a lotion that costs $4.50 per ounce. (round your answer to the nearest cent.)

Answers

Is this the full question, because if it is, then the answers are $1.50 and $4.50.

In how money ways can a five-letter license plate be made with the letters from April if none of the letters are repeated ?

Answers

25 different ways in total. 5 letters times itself (5) is 25. That’s how many times




















Which answer is equal to i^39


i

1

−1

−i

Answers



[tex]i^{39}=i^{36+3}=i^{36}*i^3=1*-i=-i[/tex]


Good question by the way

Answer:

i

Step-by-step explanation:

stays postive

Geometry Help
1. The vertex angle of an isosceles triangle is always acute. (True/False)
2. The base angles of isosceles triangles are always complementary.(True/False)
3.All of the sides of an isosceles triangle are always congruent. (True/False)

i think the first one would be true, second true, and third one would be false... need confirmation

Answers

you got it! 
TRUE
TRUE
FALSE
1. The vertex angle of an isosceles triangle is always acute: FALSE, since it can be acute or obtuse

2. The base angles of isosceles triangles are always complementary: FALSE, it's true ONLY in an isosceles RIGHT ANGLE triangle, where the angle at the base each equal 45°

3.All of the sides of an isosceles triangle are always congruent: FALSE, all sides are all congruent in an EQUILATERAL triangle

What is the distance between points J and K?

Answers

-8 to 0 = 8

0 to 4 = 4

8+4 = 12

 distance is 12

What's the answer to 1/6d+2/3=1/4(d-2) and can someone explain/work this out with me?

Answers

1/6d + 2/3 = 1/4(d - 2)...first, distribute thru the parenthesis
1/6d + 2/3 = 1/4d - 1/2....multiply everything by the common denominator 12
2d + 8 = 3d - 6 ...subtract 3d from both sides
2d - 3d + 8 = -6 ...subtract 8 from both sides
2d - 3d = -6 - 8.....simplify
-d = - 14...multiply both sides by -1 to make d positive
d = 14
1/6d+2/3=1/4(d-2)
distribute
1/6d+2/3=1/4d-1/2
add 1/6d to both sides
2/3=5/12d-1/2
add 1/2 to both sides
7/6=5/12d
divide by 5/12
2 4/5=d 
Hope this helps!

If a is divisible by​ b, then a divided by ÷b has a remainder of

Answers

0 is the answer because if it is divisible, that means that a would have to be able to go into b evenly

Three times the sum of a number and six is greater than four times the number decreased by two

Answers

3(x+6)>4x-2 hope this helped

Final answer:

The mathematical problem is to express 'Three times the sum of a number and six is greater than four times the number decreased by two' as an inequality, resulting in 3(n + 6) > 4n - 2, which simplifies to n < 20.

Explanation:

The question involves translating a word problem into an algebraic inequality. The problem statement 'Three times the sum of a number and six is greater than four times the number decreased by two' can be translated into the inequality 3(n + 6) > 4n - 2, where n represents the unknown number.

To solve this inequality, we would first expand the left side of the equation by distributing, resulting in 3n + 18 > 4n - 2. Then, we would get all n terms on one side and constants on the other, leading to the inequality n < 20.

The number of cars (c) in a parking lot increases when the parking fee (f) decreases. Write the correct equation for this scenario, and solve for the number of cars when the fee is $6. Fee Cars 20 15 30 10

Answers

Data:

Fee   Cars
20     15
30     10

Given that you have only two set of data, you can only assume a linear model.

To find the linear model (equation) that predict the number of cars (x) as a functionn of the parking fee (f) you follow, using only two set of data, follow this procedure:

1) Find the slope, m

m = [10 - 15] / [30 - 20] = - 5 / 10 = - 0.5

2) Use the slope-point equation

y - y1 = m (x - x1)

=> y - 10 = - 0.5 (x - 30)

=> y - 10 = - 0.5x + 15

=> y = - 0.5x + 15 + 10

=> y = - 0.5x + 25

or c = - 0.5 f + 25  <-------- equation

Now you can replace 6 for f to get the number of cars when the fee is $6

c = - 0.5 (6) + 25 = - 3 + 25 = 22 <---- this is the number of cars when fee is $6

Answers:

c = - 0.5 f + 25

number of cars = 22

Given (x – 7)2 = 36, select the values of x.



x = 13



x = 1



x = –29



x = 42

Answers

The answer is below:
13 & 1

we have

[tex](x-7)^{2} =36[/tex]

square root on both sides

[tex](x-7)=(+/-)\sqrt{36}[/tex]

[tex](x-7)=(+/-)6[/tex]

[tex]x=(+/-)6+7[/tex]

[tex]x1=6+7=13[/tex]

[tex]x2=-6+7=1[/tex]

therefore

the answer is

[tex]x1=13[/tex]

[tex]x2=1[/tex]

A population of rabbits triples every month. The population starts with two rabbits. How many rabbits are there after three months?

Answers

If it triples every month, we would multiply last month's by 3. Sooo...
Month 1: 3 rabbits.
Month 2: 9 rabbits.
Month 3: 27 rabbits.
Month 4: 81 rabbits.
We could keep going, but you're looking for after 3 months, which the answer would be 27 rabbits.

I hope this was helpful! :>
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