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


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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

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Answer:

-3/2 is your answer !!!!

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Trust me it's right...lol

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Answer:

2

Step-by-step explanation:

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

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Answer:

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Step-by-step explanation:

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ty

Step-by-step explanation:

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

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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:

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

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angle1 = 60

HELPP HELP IM FAILING THIS CLASS

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Answer:

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Step-by-step explanation:

A=1/4πd2

Area=1/4 x pi x diameter squared.

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3q2rr

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

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Answer:

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Step-by-step explanation:

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

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Answer:

The equation would be y = 4x + 15

Answer:

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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.

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:

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

Answers

Answer:

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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.

How many places do you need to move the decimal to the left to write the
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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Simplify all four questions correctly-
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(3n - 1) + ( -n + 4)

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

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Answers

Answer:

1. 2p - 10

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Step-by-step explanation:

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]

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
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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

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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

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Step-by-step explanation:

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Answer:

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

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Answers

Answer:

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Step-by-step explanation:

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Answer:

SAS

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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:

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 ,

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Recall that , + × - = - . We have ,

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

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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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Answers

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Answer: 3 root 2

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Step-by-step explanation:

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

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