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Natali [406]
3 years ago
8

The distance between two cities on a map is 3.25 centimeters. The map used a scale in which 1 centimeter represents 20 kilometer

s. What is the actual distance between these two cities in kilometers?
Mathematics
1 answer:
____ [38]3 years ago
6 0

Answer:

<h2> 65km</h2>

Step-by-step explanation:

Step one:

given

we are told that the distance is 3.25cm on the map

the scale is 1cm to represent 20km

Required

the actual distance

Step two

if 1cm represent 20km

then 3.25cm will represent x km

cross multiply we have

x=2.35*20

x= 65km

Hence,  the actual distance between these two cities in kilometers  65km

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PLEASE HELP!!!!!
Zielflug [23.3K]
Question #1

Part A:
The y-intercept can be found when x = 0. If you look at your table, when x = 0, y = 5. So the y-intercept is 5.

Part B:
\sf Slope = \frac{27-5}{1-0} = \frac{22}{1} = \boxed{22}
The slope is 22.

Part C:
y = mx + b
y = 22x + 5

We are given 225 as the range, or in place of y.
225 = 22x + 5
220 = 22x
x = 10

The domain is 10.



Question #2

Part A:

(2,255)
(5,480)

Standard form is Ax + By = C

\sf Slope = \frac{y_2-y_1}{x_2-x_1} = \frac{480-225}{5-2} = \frac{255}{3} = \boxed{85}

Let's plug this into this form first:
y - y_1 = m(x-x_1)\\\\y -225 = 85(x-2)\\\\y - 225 = 85x - 170\\\\y = 85x + 55

Now, let's make it into Standard Form.
y = 85x + 55\\\\y - 85x + 55\\\\ -85x + y = 55\\\\ -1(-85x +y) = -1(55)\\\\\boxed{85x - y = -55}
What, which is in the box, is your final answer. :)

Part B:
Function notation simply means replacing y with f(x).
We had y = 85x + 55
So your answer is:
\boxed{f(x) = 85x + 55}

Part C:
Using the final answer which we got in Part A, we would know that the y-intercept is (0,55) and the x-intercept is (-55/85, 0). We would plot these 2 points, and then draw a line between them. :)
5 0
3 years ago
24+ 24 Pts bbbbbbb.
Valentin [98]

Answer:

All equally important without physical health having social health might be harder since you might not be able to interact as well because of illness which would then affect mental. Without mental health your social and physical health would deteriorate and without social health your mental then physical health would deteriorate we need a balanced amount of all of these

All equally important without physical health having social health might be harder since you might not be able to interact as well because of illness which would then affect mental. Without mental health your social and physical health would deteriorate and without social health your mental then physical health would deteriorate we need a balanced amount of all of these

Step-by-step explanation:

All equally important without physical health having social health might be harder since you might not be able to interact as well because of illness which would then affect mental. Without mental health your social and physical health would deteriorate and without social health your mental then physical health would deteriorate we need a balanced amount of all of these

All equally important without physical health having social health might be harder since you might not be able to interact as well because of illness which would then affect mental. Without mental health your social and physical health would deteriorate and without social health your mental then physical health would deteriorate we need a balanced amount of all of these

8 0
3 years ago
PLEASE ANSWER ASAP! YOUR ANSWER MUST INCLUDE AN EXPLANATION IN ORDER TO RECEIVE 10 POINTS AND THE BRAINLIEST! THANKS!!!
7nadin3 [17]
The equation formula of the circle is (x-h)^2 + (y-k)^2 = r^2
where (h,k) the point of the  center of the circle
and (r) is the radius of the circle 
so if the center of the circle = (-2,-4)  
by subs. in the formula we get (x-(-2))^2 + (y-(-4))^2 = r^2 
then the equation will be (x+2)^2 + (y+4)^2 = r^2 
now we want to define the radius of the circle r
since point (3,8) lay on the circle so we can 
then subs. in the equation to get the radius 
(x+2)^2 +(y+4)^2 = r^2 
(3+2)^2 +(8+4)^2 = r^2 
25 + 144 = r^2 
r^2 = 169 
r= 13 
the radius of the circle is 13 
so by subs in the equation we get 
(x+2)^2 + (y+4)^2 = 169 
so it is the first answer in the choices 
8 0
3 years ago
A manufacturing company with 450 employees begins a new product line and must increase their numbers of employees by 18%. How ma
pogonyaev

You are adding 18%, which makes it 118% of original employees

Times 450 by 1.18 = 531

6 0
3 years ago
What is the slope of the line represented by the equation 6y-14x=5
ioda

Answer:

slope = \frac{7}{3}

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

rearrange 6y - 14x = 5 into this form

add 14x to both sides

6y = 14x + 5 ( divide all terms by 6 )

y = \frac{14}{6} x + \frac{5}{6} ← in slope- intercept form

with slope m = \frac{7}{3} ← in simplest form


7 0
3 years ago
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