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

Which property is shown in this example?

(6.3 + 5.2) + 8.7 = 6.3 + (5.2 + 8.7)
A. Identity Property
B. Commutative Property
C. Associative Property
D. Distributive Property

Answers

Answer:

associative property

Step-by-step explanation:

identity property is when you multiply one by any number and get the number you multiplied by. for example, 1x3=3; 1x7=7. Commutative property has to do with the order of multiplication being rearranged.  and distributive property multiplies a number outside the parentheses into the numbers inside. all that's left is the associative property which indicates that addition can be rearranged and still get the same answer. hope this helps :)

Marion has 15 oatmeal cookies and 20 peanut butter cookies. If
Marion gives each friend an equal number of each type of cookie,
what is the greatest number of friends with whom he can share his
cookies?

Answers

I’m pretty sure it’s 3

PLEASE HELP I ONLY HAVE 3 MINUTES LEFT!!

Suppose that F(x) = x^2 and G(x)=3x^2 +8. Which statement best compares
the graph of G(x) with the graph of F(x)?
* look at picture* please put right answer

Answers

Answer:

ur screwed go with b

Step-by-step explanation:

Answer:B The graph of g(x) is the graph of f(x) compressed vertically. The factor of compression is 2/5 and is less than 1 so it is compressed instead of stretch if the factor was greater than 1. There is no reflection across the x-axis because there is no negative sign in front of the function f(x).

JUST ANSWER B

If a =3 and b=-2,what does this expression equal? -2b-a

Answers

Answer:

Step-by-step explanation:

we will replace the expression -2b-a  with the values

-2(-2)-3=4-3=1

Brainliest if correct please help

Answers

Answer:

the answer is F 200

Step-by-step explanation:

360 in lower section

240 in the middle section

add 360 +240 = 600

600-800=200

there are 200 seats in the upper section

Does anyone know how to solve this using the methods of interval?

Answers

the horses name was friday :)

What is the answer to
3-h=8

Answers

Hello!

[tex]\large\boxed{h = -5}[/tex]

3 - h = 8

Isolate for h by subtracting 3 by both sides:

3 - 3 - h = 8 - 3

- h = 5

Multiply both sides by -1 to make h positive:

-h(-1) = 5(-1)

h = -5

HELP ME!WILL GIVE BRAINLIEST

Answers

Is it c I’m not 100% sure so don’t put it till someone else gives the answers

Can you please help me with this problem!!

Answers

Answer:

.

Step-by-step explanation:

48 degrees the two angles are equal. U just need to add 24+24

Easy points if u know it

Answers

Answer:

true

Step-by-step explanation:

because im smart

Answer:

true

Step-by-step explanation:

I just do

please help, im literally so lost

Answers

Answer:

RP = 2.3

PQ = 1.0

RQ = 2.3

Step-by-step explanation:

The pictures says RP = RQ,

so:

3x - 0.4 = x + 1.4

this you can simplify to:

x = 0.9

Then fill x in:

RP = 3*0.9 - 0.4 = 2.3

PQ = 0.9 + 0.1 = 1.0

RQ = 2.3

Solve: 3x-31=2(x-3)

25

12

9

17​

Answers

Answer:

17

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Hitomi has a total of 30 red and blue bowling balls at her bowling alley. Each red ball weighs 8 lbs. Each blue ball weighs 9 lb. If the total mass of the blue balls is 49 lb. heavier than the total mass of the red balls, how many red balls does she have?

Answers

Answer:

5 balls

Step-by-step explanation:

Answer:

It is 13 balls.

Step-by-step explanation:

9(30-x) = 8x + 49 is the equation.

Help I will mark brainliestttt

Answers

its D because u can and add / mutiply *

Answer:

D

Step-by-step explanation:

Trust me

The price of the same type of milk is shown. Which store has the the lowest unit price per ounce

Answers

Answer:

I would answer but there is no picture

Step-by-step explanation:

Answer:

It's not shown actually...

Step-by-step explanation:

Ummm...

Is this graph a function

Answers

Answer:

yes

Step-by-step explanation:

becous its aparently equal

i have to find the mean and range of this data set and show work.
data set: 49,50,52,58,61,63,66,67,67,68

Answers

Answer:

61 is the mean and the range is 19

Step-by-step explanation:

trust

Mean = [tex]60.1[/tex] and Range = [tex]19[/tex]  for the given set of data.

What is Mean?

"Mean is the average set of all the given values."

What is Range?

"Range is the difference between highest and the lowest value."

Formula

Mean = [tex]\frac{Sum of all the observations}{Total number of observations}[/tex]

Therefore, Mean = [tex]\frac{49 + 50 +52 +58 +61 +63 +66 +67 +67 +68}{10}[/tex]

                            = [tex]\frac{601}{10}[/tex]

                            = [tex]60.1[/tex]

Range = Max (x) - Min (x)

            =  [tex]68 - 49[/tex]

            = [tex]19[/tex]

Hence, the Mean = [tex]60.1[/tex] and Range = [tex]19[/tex] for the given data set.

Learn more about Mean and Range here

https://brainly.com/question/8932399

#SPJ2

hello ppl from my school who also dont know this

Answers

Answer:

They both intersect at C. (-4,-2)

Step-by-step explanation:

The solutions are base on where they cross or intersect

i’m thinking (-4,-2)

Currently James has $600 in his bank account, while Lisa has $500 in hers.

Every Friday afternoon James withdraws $15. At the same time Lisa withdraws $12 knowing that she can't spend as much as James.

Will their account balances ever be equal? If they are ever equal, how many weeks will it take?

Answers

Answer:

Their account balances will never be equal.

Step-by-step explanation:

I basically ran the math. 500 minus 12 times anything from 1-40 cannot equal 600 minus 15 times anything from 1-40. When we come to 600 - (15*40) we get zero.

Drag each number to the correct location on the table.
Classify the real numbers as rational or irrational numbers.


Answers

Answer:

[tex]\text{Rational number} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \text{ Irrational number}[/tex]

          [tex]3\sqrt{25} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \sqrt{141}\\\\\sqrt{256} \\\\1. \overline{ 1625} \\\\\frac{-11}{151}[/tex]

Step-by-step explanation:

Since we believe it  

The number sequence is that those which can be described as [tex]\frac{p}{q}[/tex] and that is not ending and recurring.  Figures that are unreasonable are also the ones, that are not [tex]\frac{p}{q}[/tex] and therefore are non-ending, non-recurring.  

The number sequence is [tex]3\sqrt{25} = 3 \times 5 = 15[/tex]

Rational amount since it is classified as [tex]\frac{p}{q}[/tex]  .[tex]\frac{-11}{151}[/tex] is really a rational number.  

[tex]1.\overline{1.625}[/tex] is a real function, since it does not end but repeats it.  

The rational number [tex]\sqrt {256} = 16[/tex]

Unreasonable number [tex]\sqrt{141}[/tex].

Answer: Square root 400 = 20, 20 is a rational number.

Square root 1000 = 31.6227766 which is irrational

³√30 = 3.107232506 which is irrational

My sincerest apology that's all I know at the moment.

Step-by-step explanation: Tbh I looked most of them up in terms of finding out if they were Rational or Irrational but basically you find the square root of the problems that have the root sign and then find if their rational of not

find the value of x in the proportion.
18/x = 9/7​

Answers

x=14



Here you go
Hope this helps you

please answer thins thanks

Answers

A)

150 / 32 = 4.6785

5 people

B)

150 / 30 = 5

Yes

Answer:

A) Five people

B) Yes

Step-by-step explanation:

Just multiply 32 by x where x untill you hit 150 or more.

I’ll mark you brainlist I’ll mark you brainlist

Answers

Answer:

-6

Step-by-step explanation:

f(9) is the same as asking for the y value (output) on the table where input (or x) is 9

PLS help my grade is depending on also just telling me how to do it will help

Answers

Answer:

Why does it say download PDF?

Don't shame I'm just trying to pass, my assignment's weigh 35% of my grade, right now my assignment percentage is 65%. My test which holds 45% of my grade is at 85% and my final is 20%, which I got a 90 on. If I take 7 0's in assignments, what would my grade be? Basically asking how many 0's under assignments can I basically take so I do not fail. Hope this makes sense

Answers

Answer:

Step-by-step explanation:

Let's start by weighing everything but the assignments. We'll get back to them momentarily.

You have 85% on 45% of your grade. That's 38.25

Your final weighs in at 20%. You have.           18

So your total so far is                                        56.25

Now that looks mighty low, but we haven't put in the assignments yet.  

So by the time you are finished you will have done 41 out of 48 assignments and that means you have done (41/48)*100 = 85.41 of the work. On these assignments that you have done, you averaged 65%

So your assignment mark will be 0.65 * 85.41 = 55.52

The weighted average = 0.35

The mark you will get is 0.35 * 55.52 = 19.32

So your final grade will be                      56.25  

Grade                                                        75.57

In Canada (where I live), that would be a solid B. I don't know how things are calculated in the US, but I have done the work properly, I think.

A line passes through the point (2,3) and has a slope of -2. Which is the equation of the line in point-slope form?

Answers

Answer:

7-2x=y

Step-by-step explanation:

When a point passes through a line it satisfies its equation

(X-x0 )m= y-y0

Slope = m = -2

(X-2 )(-2)=y-3

4-2x=y-3

7-2x=y

Factor out 2x squared minus 98 completely

Answers

Answer:

2(x+7)(x-7)

Step-by-step explanation:

1. In 2x^2-98, there is a common factor of 2

2. The equation therefore becomes 2 (x^2 - 49)

3. We know that x^-49 is a difference of two squares and can therefore be factored into (x+7)(x-7)

4. Therefore the fully factored answer is 2(x+7)(x-7)

Hydrogen gas is being pumped into a spherical object so that its radius increases at 0.03 centimeters per second. How fast is the volume increasing when r = 10 centimeters?

`V = 4/3 pir^3`

A.
3.768 cm3/s
B.
37.68 cm3/s
C.
75.36 cm3/s
D.
113.04 cm3/s

Answers

Answer:

He's right it's B. 37.68 cm^3/s

Step-by-step explanation:

simplify completely -4m(9m+5)​

Answers

Answer:4x

Step-by-step explanation:

Answer:

−36m2−20m

Step-by-step explanation:

Multiply yy by yy by adding the exponents.

−4⋅9m2−20m-4⋅9m2-20m

Multiply −4-4 by 99.

−36m2−20m


Two siblings set up a lemonade stand. Each half hour, the siblings record the number of cars, X, that pass by and the total amount of lemonade sales, in
dollars, y. The scatter plot shows the results,

Answers

It’s to prove of the pounds and the congress to put each three out
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