Two cities Asheville and Boulder are 2.5 inches apart on a map. A third city well spring is located exactly halfway between Asheville and Boulder. If the scale is 0.5 inches = 15 miles find the actual distance from wellspring to Boulder

Answers

Answer 1

Answer:

75miles

Step-by-step explanation:

Let A be the location of Asheville, B be the location of Boulder and W be the location of wellspring.

If well spring is located exactly halfway between Asheville and Boulder, then;

AW + WB = AB

If Asheville and Boulder are 2.5 inches apart on a map, then AB = 2.5 inches

The actual distance from wellspring to Boulder is WB

Since W is the midpoint of A and B, then AW = WB. The equation becomes;

WB + WB = AB

2WB = AB

WB = AB.2

WB = 2.5/2

WB = 1.25 inches

Hence the distance from wellspring to Boulder is 1.25inches.

Since  0.5 inches = 15 miles on the map,

1.25inches = x

Cross multiply;

0.5x = 15 * 1.25

0.5x = 18.75

x = 18.75/1.25

x = 75miles

Hence the actual distance from wellspring to Boulder is 75miles


Related Questions

Slove the system of equations by useing the substitution method. 2x - 3y=9 y=x-4​

Answers

Answer:

x = 3

y = -1

Step-by-step explanation:

in this system, we are given that y = x - 4

this means that we can take the other equation and replace y with x - 4:

so 2x - 3y=9 turns into

2x -3 (x - 4) = 9

distribute -3 to x and -4:

2x - 3x + 12 = 9

add like terms and subtract 12 from both sides

-x = -3

divide both sides by -1 to get rid of the negative on x:

x = 3

now we have the value of x, so we can replace the x in y = x - 4 with the value we just got

so y = x- 4 turns into

y = (3) - 4

solve and you get

y = -1

Plz solve this as soon as possible it is due today, all it is is yes or no

Answers

Answer:

1 Rational, Integer

2 Rational

3 Rational, Whole

4 Rational , Whole

5 Rational

6 Rational

7 Rational

8 Rational

Step-by-step explanation:

Pretty sure this is correct

4x-3+x=7x-3 solve x and show work easy to undertand please. Really appreciate it ^^

Answers

X=0 answer answer answer

If one item cost $0.79 and I paid $3.16 at the register, how many items did I buy

Answers

Answer:

You bought 4 items.

Step-by-step explanation:

3.16 divided by 0.79 = 4

Answer:

You bought 4 items because 0.79 x 4 = 3.16

Step-by-step explanation:

Find the measure of <1

Answers

Consider the triangle (in which angle4 is present)

by angle sum property,

20 + 40 + angle4 = 180

60 + angle4 = 180

angle4 = 180 - 60

angle4 = 120

Also,

angle2 = 120 (vertically opposite angles)

angle1 + angle2 = 180 (linear pair)

angle1 + 120 = 180

angle1 = 180 - 120

angle1 = 60

What is

-2/3
-
5/6

?
Math/honors math/ Mathematics

Answers

Answer:

-3/2 is your answer !!!!

Answer:

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

Step-by-step explanation:

Trust me it's right...lol

Simplify an expression for the PERIMETER of the equilateral triangle shown below.

Answers

The answer is 180 if right

HELPP Its due rnnn , ANYBODYYYYY help meeee lollll

Answers

Answer:

The first one is C and I don't know what the other one is

PLEASE, HELP. 60 POINTS!
Thank you!

Answers

Answer: 20ft

Step-by-step explanation:

I need quick help pls!!!

Answers

Answer: 3 root 2

Its the third answer

Step-by-step explanation:

Two more than eleven times a number is equal to 24. What is the number?

Answers

Answer:

2

Step-by-step explanation:

24/ 11 = 2 2/11

so, we have 2 and 2/11

11x2 = 22 + 2 = 24

..............................................................................

Answers

Answer:

-5 ,3 ...

Step-by-step explanation:

thats all i can think of ..,..

A recent survey suggests that 47% of all televisions are connected to the internet, 32% are voice controlled, and 22% are both connected to the internet and voice controlled. Suppose a television is selected at random and it is voice controlled. What is the probability that a randomly selected voice-controlled television is also connected to the internet?

A. 0.15
B. 0.47
C. 0.69
D. 0.79

Answers

Answer:

0.69

Step-by-step explanation:

Here, we want to find the probability that a randomly selected television is connected to the internet given that it is voice-controlled

let P(V) is the probability of selecting a voice controlled television

P(I) is the probability that a selected television is connected to the internet

So the probability we want to calculate according to Baye’s theorem will be;

P(I|V) = P(I n V)/P(V)

P( I n V) = 22%

P(V) = 32%

So the probability is;

22%/32% = 0.6875 which is approximately 0.69

Answer: 0.69

Step-by-step explanation:

Graph a line that contains (-2,7) and a slope of 4

Answers

Answer:

The equation would be y = 4x + 15

Answer:

draw a line trogh the points (-2, 7) and ( -1,11)

Step-by-step explanation:

Plot the first point (-2,7) then go 4 up and 1 right (because the slope is

4 = 4 rise/1run ), plot that second point ( -2+1, 7+4) = (-1, 11), and connect them.

Write True or False and then explain. The angle of depression is the same degree measure as the angle of elevation in a diagram.

Answers

Answer:

The term angle of elevation denotes the angle from the horizontal upward to an object. An observer's line of sight would be above the horizontal. The term angle of depression denotes the angle from the horizontal downward to an object. ... Note that the angle of elevation and the angle of depression are congruent .

Step-by-step explanation:

True

question is attached​

Answers

Hello!

[tex]\large\boxed{f^{-1} = \frac{5x+2}{4x-2}, f^{-1}(3) = \frac{17}{10} }[/tex]

[tex]f(x) = \frac{2x +2}{4x - 5}[/tex]

Find the inverse by swapping the x and y variables:

[tex]y = \frac{2x +2}{4x - 5}\\\\x = \frac{2y +2}{4y - 5}[/tex]

Begin simplifying. Multiply both sides by 4y - 5:

[tex]x(4y - 5) = 2y + 2[/tex]

Start isolating for y by subtracting 2 from both sides:

[tex]x(4y - 5) -2 = 2y[/tex]

Distribute x:

[tex]4yx - 5x - 2 = 2y[/tex]

Move the term involving y (4yx) over to the other side:

[tex]- 5x - 2 = 2y - 4yx\\\\[/tex]

Factor out y and divide:

[tex]- 5x - 2 = y(2 - 4x)\\\\y = \frac{-5x-2}{-4x+2} \\\\y = \frac{-(5x + 2)}{-(4x - 2)} \\\\y^{-1} = \frac{5x + 2}{4x - 2}[/tex]

Use this equation to evaluate [tex]f^{-1}(3)[/tex]

[tex]f^{-1}(3) = \frac{5(3) + 2}{4(3) - 2} = \frac{17}{10}[/tex]

The price of a computer was decreased by 7% to £500. What was the price before the decrease? Give your answer to the nearest penny.

Answers

Answer:

537.64

Step-by-step explanation:

PLZ HELP ME ITS 30 POINTS PLZ HELP ME ITS 30 POINTS

Answers

Answer:

thankssss

Step-by-step explanation:

Answer:

ty

Step-by-step explanation:

Pls answer a and b!!!!!

Answers

Answer:

a) the answer is 2/21

b) the answer is 6

And the first one is 2/12
The 2 one is 6

Does anyone know the answer ? (geometry)

Answers

Answer:

The answer 7.48

Step-by-step explanation:

I hope this helped

In the figure below, ray KM is the angle bisector of ZLKJ. If MZLKJ = 82",
what is MZMKJ?

Answers

Answer:

41º

Step-by-step explanation:

An angle bisector splits an angle in half. So angle LKM+angle MKJ=angle LKJ. We know angle LKJ=82º, so angle LKM=angle MKJ=82º/2=41º.

Jackson has to have his car repaired. The mechanic tells him it will cost $75 for each hour of labor plus the cost of the parts. He discovers that the parts cost $165.

Part A: Write an equation that can be used to determine the cost of the repairs for any hours of labor.

Part B: How much would the repairs be if it took 3 hours?

Part C: What is the meaning of the slope in Part A?

Part D: What is the meaning of the y-intercept in Part A?

Answers

Answer:

a  75x+165=y

b  75(3)+165=390

c   75x is the cost increasing for each hour

d  y-intercept=165, it cost at least 165 for the parts

Step-by-step explanation:

HELPP HELP IM FAILING THIS CLASS

Answers

Answer:

Area=572.56

Step-by-step explanation:

A=1/4πd2

Area=1/4 x pi x diameter squared.

Answer:

thanks for the free points and the anwser is 5

Step-by-step explanation:rqwafs

3q2rr

Simplify all four questions correctly-
(p - 3) + (p - 7)

(3n - 1) + ( -n + 4)

(-t + 5) + (3t + 2)

(7k + 9) + (4k - 3)

Answers

Answer:

1. 2p - 10

2. 2n + 3

3. 2t + 7

4. 11k + 6

Step-by-step explanation:

Please help I don’t understand

Answers

Answer:

Step-by-step explanation:

when you draw a line through both it show that the are parallel and will never touch.

Answer:

simple

Step-by-step explanation:

i can't give the answer  but a hint is that AC is the same as dot A and Dot C you see on the image and EF is dot E and dot F on the image too.

show how both are paralell(lines never meet).

you flip a coin twice what is the probability of getting tails then getting heads

HELP ASAP

Answers

Answer: The odds of getting tails twice in a row are 1/2 * 1/2 = 1/4. So 25% of the time you'll get heads twice in a row. But, if you've already flipped a coin 99 times, and gotten heads each time, then the odds of your next flip being heads is still just 50:50.

Step-by-step explanation:

yea yea yea yea yea help please i have a zero in this class lol

Answers

Answer:

D. -3z+2

Step-by-step explanation:

Steps:

Remove parentheses: (a) = a

= 5z+9-(8z+7)

....

Simplify

5z+9-8z-7: -3z+2

Answer:

-3z +2

Step-by-step explanation:

A expression in terms of z is given to us and we need to simplify out the given expression . The give an expression to us is ,

[tex]\implies (5z + 9 ) - ( 8z + 7 )[/tex]

Recall that , + × - = - . We have ,

[tex]\implies 5z + 9 - 8z - 7 [/tex]

Combining the like terms and simplifying ,

[tex]\implies 5z - 8z - 7 +9 \\\\\implies \underline{\underline{ -3z +2 }}[/tex]

Hence the last option is correct .

How many places do you need to move the decimal to the left to write the
number below in scientific notation?
12000000000
A. 10
B. 9
C. 11
O O
D. 6

Answers

Answer:

9

Step-by-step explanation:

the decimal always goes between the numbers that arent 0s

Answer:

it’s 9 because i don’t know I just saw someone else say that

Step-by-step explanation:

which postulate or theorem justifies the congruence statement, ABE is congruent to CDE?

- SSS
- SAS
- ASA
- AAS

Answers

Answer:

SAS

Step-by-step explanation:

Hope this helps:)

Answer:

SAS

Step-by-step explanation: You can use vertical angles  congruence theorem for angles AED and BEC which gives you an angle, using  taht info you can detremine that its SAS

Give an example with an expression showing the associative property of multiplication

Answers

Answer:

Use the associative property of multiplication to rewrite (5 x 4) x 3 In order to rewrite the expression, take the parenthesis off of the first two factors and put them around the last two factors. Answer: 5 x (4 x 3) Example: Use the associative property of multiplication to rewrite (6 x 2) x 7

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