A scale on a map shows that 2.5 centimetres represents 15 kilometres what number of actual kilometres are represented by 17.5 centimetres on the map

Answers

Answer 1

Answer:

105km

Step-by-step explanation:

From the above question, the scale is

2.5 cm = 15km

Therefore,

17.5 cm = x

We Cross Multiply

2.5cm × x = 15km × 17.5 cm

x = 15km × 17.5cm/2.5

x = 262.5/2.5

x = 105 km

Therefore, the number of actual kilometres that are represented by 17.5 centimetres on the map is 105 kilometres.


Related Questions

what does -4(2x+9) equal

Answers

Answer:

-8x-36

Step-by-step explanation:

-4(2x+9)

distribute: -4(2x+9)= -8x-36

-8x-36 HOPE THIS HELPSSSSSSSSS

Anyone please hurry ????

Answers

Answer:

8 units right 2 units down

Step-by-step explanation:

Solve for C p=b+c/5 I need help

Answers

Answer:

Step-by-step explanation:

p =  b + c/5                     Subtract b from both sides

p - b = c/5                       Put brackets around the left side

(p - b) = c/5                     Multiply by 5

5(p - b) = c

if BD and EG are parallel lines and m∠DCF = 125°, what is m∠DCA

Answers

Answer:

55

Step-by-step explanation:

FCA equals 180 degrees so you subtract 180 from 125 and get 55 degrees.

Answer:

55

Step-by-step explanation:

Just subtract 180 and 125

You said that m∠DCF = 125° right?

And the m∠DCF and m∠DCA are linear pair because they have angles that share a side, so supplementary angles = 180

m∠DCF + m∠DCA = 180

replace (since m∠DCF = 125):

125 + m∠DCA = 180

-125                           -125

m∠DCA = 180 - 125

m∠DCA = 55

All Common multiples between 2 and 9

Answers

Answer:

18, 36, 54, 72, 90...

Step-by-step explanation:

Write the equation in slope-intercept form.
7x = 3y − 12
A. y=73x+4
B. 3y−7x=12
C. y−11=73(x−3)
D. y=37x+4

Answers

Slope intercept form, Y= Mx + b

3y = 7x + 12
y = 3/7x + 4
So what do you think?

Step-by-step explanation:

this is my answer you should mind your own business

if f(x) = 6x, what is f(3)

Answers

Answer:

f(x)=18

Step-by-step explanation:

When it gives you f(3), it is basically telling you that you need to plug in 3 for x. Doing so would give you f(3)=6(3) and you can multiply 6 and 3 together to get 18.

F(3)=18
You have to multiply 3 by 6 because x is 3

In the fraction 7/8 , the Numerator Denominator is 7.

Answers

Answer:

The numerator

Step-by-step explanation:

numerator is the top

denominator is the bottom

just need 5 and 6 done due in 20 minutes plz help​

Answers

Step-by-step explanation:

5. Let the equation of the line be y = mx + c

m = (6-15)/(2-(-1)) = -3

sub (2, 6) and m = -3:

6 = -3(2) + c

c = 12

Equation of the line: y = -3x + 12

6. Let the equation of the line be y = mx + c

y-intercept of 7 means c = 7

y = mx + 7

x-intercept: value of x when y = 0

therefore, sub (4, 0):

0 = m(4) + 7

m = -7/4

Equation of the line: y = -7/4x + 7

this is a topic on coordinate geometry. If you wish to explore more into this topic you can give me a follow on Instagram (learntionary) I'll be posting the notes for this topic soon and will also be posting other topics' notes and some tips :)

his figure is made from part of a circle and part of a square.

Answers

Answer:

What?

Step-by-step explanation:

That was pretty deep

Not long after he begins to study algebra he will likely meet with the "tank" problems, the "labor" problems and many other puzzle problems. He finds these problems carefully phrased in the language of practical mathematics. However, a study of the original problems and the fanciful way in which they were stated will reveal the fact that they were originally intended mostly for puzzles. The present-day student of algebra would doubtless work as industriously over the so-called practical problems if he were told they were puzzle problems that his predecessors had worked on for the past 1600 years.

The problems given below are selected from a collection made by Metrodorus about 310 A. D. found in The Greek Anthology. It is not known how much farther back they date. It will not be difficult for the reader to trace many of the problems found in the present-day algebras back to their original source. He may judge for himself as to whether the modern text-book writer has improved the problems by leaving off the little fanciful touches of rhetoric, found in the original.

The original problems were solved by rhetorical algebra as our symbols, +, -, ×, ÷, etc., were introduced many centuries later, about 1540.

Answers

Answer:

wow thats some good information there!

Step-by-step explanation:

help.me with Ap calc please ​

Answers

Answer:

[tex]\displaystyle f'(1) = 6[/tex]

General Formulas and Concepts:

Calculus

Differentiation

DerivativesDerivative Notation

Derivative Property [Multiplied Constant]:                                                           [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]

Derivative Property [Addition/Subtraction]:                                                         [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]  

Basic Power Rule:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle f(x) = 5x - 1 + \ln x[/tex]

Step 2: Differentiate

[Function] Derivative Property [Addition/Subtraction]:                               [tex]\displaystyle f'(x) = \frac{d}{dx}[5x] - \frac{d}{dx}[1] + \frac{d}{dx}[\ln x][/tex]Rewrite [Derivative Property - Multiplied Constant]:                                   [tex]\displaystyle f'(x) = 5 \frac{d}{dx}[x] - \frac{d}{dx}[1] + \frac{d}{dx}[\ln x][/tex]Derivative Rule [Basic Power Rule]:                                                             [tex]\displaystyle f'(x) = 5 - 0 + \frac{d}{dx}[\ln x][/tex]Logarithmic Differentiation:                                                                         [tex]\displaystyle f'(x) = 5 + \frac{1}{x}[/tex]Substitute in x:                                                                                               [tex]\displaystyle f'(1) = 5 + \frac{1}{1}[/tex]Simplify:                                                                                                         [tex]\displaystyle f'(1) = 6[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

can someone help me with thiis?

Answers

I believe the expression would be 7(g)+7

Please answer correctly !!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!

Answers

Answer:

47°

Step-by-step explanation:

they are parallel to each other

Answer:

47

Step-by-step explanation:

47 and x are alternate interior angles

its past due so plz help me

Answers

Answer:

y= 5/8x

Step-by-step explanation:

When it says y is it typically means y=.

When it says 5/8 of a number or of a variable it means that number times that variable.

Hope this helps!

Thomas is going to flip an unfair coin 2 times. Each coin flip is independent, and the probability that the coin flips
heads is 20% each time.

Please tell me the possible outcomes, thank you.

Answers

Answer:

Step-by-step explanation:

The probability of flipping heads is 20% (or 0.2), the probability of flipping tails is 80% (or 0.8).

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

There are four possible outcomes when flipping an unfair coin twice, since each coin flip has two possible outcomes (heads or tails).

We can use H to represent heads and T to represent tails.

The possible outcomes are:

HH (both flips are heads)

HT (first flip is heads, second flip is tails)

TH (first flip is tails, second flip is heads)

TT (both flips are tails)

Each of these outcomes has a certain probability associated with it.

Since the probability of flipping heads is 20% (or 0.2), the probability of flipping tails is 80% (or 0.8).

Hence, the probability of flipping heads is 20% (or 0.2), the probability of flipping tails is 80% (or 0.8).

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ2

A farmer's land has the shape and dimensions shown below in the coordinate grid. Each unit on the grid represents one (1) kilometer. What is the perimeter of the farmer's land to the nearest kilometer?

Answers

Answer: where’s the grid ?

Step-by-step explanation:

Write the ratio as a fraction in simplest form 4 to 56

Answers

Answer:

1 / 14

Step-by-step explanation:

4 / 56 = 1 / 14

4 / 4 = 1

56 / 4 = 14

I WILL MARK BRAINLIEST!!​

Answers

Answer:

Option 3

Step-by-step explanation:

3/2 times x - 3 = y can also be:

y=3/2 times x-3

-3 is the y-intercept. This is one of the points, (0,-3).

Now, you need to solve for x. Say y equals 0.

3/2 times x-3 will equal 0.

3/2 times 2 = 6/2 which equals 3. You can solve the equation now.

3/2 times 2 - 3 = 0

2 is the x-intercept. This is the other point in the line, (2,0).

So the answer is Option 3

Zeke kicked a football 92 yards. Zane estimated it at 90 yards. What percent error did Zane make? If a decimal, round the percent to 2 decimal places.

Answers

Answer:

Zeke had a 2.17% margin of error in his estimation.

Step-by-step explanation:

To set this problem up, you would need to create a proportion. X, the percent of error you're trying to find, should be over 100%. It should look like:

2/92 = X/100

This would translate your terms, the distance the football was kicked, into percentage terms. You should have 2/92 rather than 90/92. 90/92 would give you how accurate Zeke's estimate was instead of is percent of error.

Cross-multiply your numbers:

(2)(100) = 92X

200 = 92X

X = 2.1739

Then, once you round it, your answer would be X = 2.17.

David pays $335 in advance on his account at the gym. Each time he visits the gym , $6 is deducted from the account. Write an equation in y = max + form that represents the value remaining in his account after x visits

Answers

Answer:

x = 335 - (6 * v)

Step-by-step explanation:

In order to calculate the value remaining, we need to first multiply the daily cost of each visit by the number of visits made to the gym which is represented by the variable (v). Once we have this cost of all the days then we subtract this amount from the current account balance in order to get the new remaining balance which is represented by x.

x = 335 - (6 * v)

Convert 2x + 37y = 18 to point-slope form.

Answers

Answer:

x=−37/2 y+9

Step-by-step explanation:

2x+37y=18

2x+37y+−37y=18+−37y

2x=−37y+18

2x2=−37y+18/2

x=−37/2 y+9

A point is chosen in the circle at random. Determine which of the statements are true. Check all that apply.
It is unlikely the point is in region A.
It is likely the point is in region C.
It is likely the point is in region G.
It is impossible for the point to be in region H.
It is certain that the point will land in a lettered region.

Answers

a,d,e

Step-by-step explanation:

I took the question

Answer:

A D E

Step-by-step explanation:

set of integers between -4 and 4​

Answers

Answer:

-3, -2, -1, 0, 1, 2, 3

Step-by-step explanation:

the answer is as follows:
-3,-2,-1,0,1,2,3,4

10x^2y - 15xy^2?
Completely factor

Answers

Answer:

By factoring our 5 you get, 5(2x^2y-3xy^2)

Find the slope of the line that passes through the points (10,8) and (4,12).
WRITE THE ANSWER AS A SIMPLIFIED FRACTION PLEASE

Answers

Answer:

-2/3

Step-by-step explanation:

The formula for slope is [ y2-y1/x2-x1 ]. Use the given points to substitute and solve.

12-8/4-10

4/-6

-2/3

Best of Luck!

Answer:

[tex]-\frac{2}{3}[/tex]

Step-by-step explanation:

Slope formula is:

[tex]\frac{y_{2} - y_{1} }{x_{2}-x_{1}}[/tex]

Let's plug-in our numbers.

[tex]\frac{12 - 8}{4 - 10} = \frac{4}{-6} = -\frac{4}{6}[/tex]

Now, we must simplify the fraction. We can do this by by finding the GCF (Greatest Common Factor). Let's list out what 6 and 4 have in common.

What can 6 be divided into?

2 * 3 = 6

1 * 6 = 6

What can 4 be divided into?

2 * 2 = 4

1 * 4 = 4

The GCF of these two numbers is 2!

[tex]-\frac{4\div2}{6\div2} = -\frac{2}{3}[/tex]

So, our slope is [tex]-\frac{2}{3}[/tex]

Another way to solve this is [tex]\frac{rise}{run}[/tex]

I have shown how to do this in the picture below. We get the same answer solving this way as well.

~ [tex]InLoveWithPugs[/tex]

[tex]Math \ Enthusiast\\Moderator[/tex]

What is the slope of the line that passes through the points (9,5) and (21,1)? Write your answer in simplest form.

Answers

Answer:The slope of the line would be 1/3 because if you put those two coordinates in the table then you can see the the difference between 5 and 1 is 4 and the difference between 9 and 21 is 12 then do 4 divided by 12 and you get 1/3 for your slope.

Step-by-step explanation:  I know math just trust me i am a sraight A student.

choose the graph that represents the point on the coordinate plane. P (0,8)​

Answers

Note: You missed to add the diagram. After a little research, I found the diagram.

Hence, I am solving the question based on the attached diagram.

Answer:

option C is the right graph that represents the point P(0, 8) on the coordinate plane.

Step-by-step explanation:

The assumed diagram is attached below.

From the diagram, it is clear that:

Graph A represents the point P at the location (8, 8).Graph B represents the point P at the location (8, 0).Graph D represents the point P at the location (8, 1).

But, if we closely observe the graph C  on the diagram below, we can validate that graph C is clearly indicating that the point P is located at the location (0, 8).

Hence, option C is the right graph that represents the point P(0, 8) on the coordinate plane.

The points (14,22) and (49,77) form a proportional relationship. Find the slope of the line through
the points. Then use the slope to graph the line.
The slope is

Answers

Answer:

Step-by-step explanation:

The slope is the change of y over the change of x.

the change of y:77-22=55

the change of x:49-14=35

55/35 simplified is 11/7

Here's a graph of the line segments connected on desmos:

your question does say to graph a line though, so add arrows instead of dots in my screenshots shown

The image of point (-2,3) under translation T'is
(3,-1). What is the image of point (4,2) under the
same translation?

Answers

Answer:

Step-by-step explanation:

REF: 060309a

ANS:

(9,−2)

(x,y)-->(x+5,y-4)

Transformation involves changing the position of a point.

The image of the translation is (9,-2).

The point is given as:

[tex]\mathbf{A= (-2,3)}[/tex]

The image of the point is:

[tex]\mathbf{A'= (3,-1)}[/tex]

The translation rule is calculated as:

[tex]\mathbf{T = <x + 3--2,y-1-3>}[/tex]

[tex]\mathbf{T = <x + 5,y-4>}[/tex]

So, the image of (4,2) is:

[tex]\mathbf{Image = (4 + 5, 2 -4)}[/tex]

[tex]\mathbf{Image = (9, -2)}[/tex]

Hence, the image of the translation is (9,-2).

Read more about translation at:

https://brainly.com/question/12463306

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