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3 years ago

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Two towns are 6 inches apart on a map. If the scale for this map is 1 inch equals 100 miles, how many miles apart are the two to

wns?

1 answer:

oee [108]3 years ago

7 0

Answer:600 miles apart

Step-by-step explanation: one inch is 100 miles multiply that by 6 you get 600 miles

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You are setting up a zip line in your yard. You map out your yard in a coordinate plane. An equation of the line representing th

Pachacha [2.7K]

Solving this problem needs the distance formula of point to a line.

The formula is:

distance = | a x + b y + c | / √ (a^2 + b^2)

So we are given the equation: y = 2 x + 4

Rewriting this would be: y – 2 x – 4 = 0 -> a = -2, b = 1, c = -4

We are also given the points:

(-4, 11) = (x, y)

Plugging it in the distance formula at points (x, y):

distance = | -2 * -4 + 1 * 11 + -4 | / √ [(- 2)^2 + (1)^2]

= 15 / √ (5)

= 6.7

So the tree is approximately 6.7 feet away from the zip line.

4 0

3 years ago

HELP FAST 100 POINTS: The manager of a basketball arena randomly selected 150 fans and asked if they were pleased with the new s

V125BC [204]

Answer:

6400 fans will be pleased.

Step-by-step explanation:

Out of 150 fans, 120 were pleased. Assuming the same ratio, out of 8000 fans, 8000x120/150 = 6400 will be pleased.

8 0

3 years ago

Read 2 more answers

A study was done to compare people's religion with how many days that they have said they have been calm in the past three days.

nadezda [96]

Answer:

The probability of the number of Protestants that were calm for 2 out of 3 days is 0.061.

Step-by-step explanation:

Represent the provided data as follows:

Compute the probability of the number of Protestants that were calm for 2 out of 3 days as follows:

$P (Calm\ for\ 2\ days\ |\ Protestants) = \frac{n (Protestants\ who\ were\ calm\ for\ 2\ days}{n (Protestants}$

The number of Protestants surveyed is, <em>n</em> (Protestants) = 99.

The number of Protestants who were calm for 2 days,

<em>n</em> (Protestants who were calm for 2 days) = 6

The required probability is:

$P (Calm\ for\ 2\ days\ |\ Protestants) = \frac{n (Protestants\ who\ were\ calm\ for\ 2\ days}{n (Protestants}\\=\frac{6}{99}\\ =0.060606\\\approx0.061$

Thus, the probability of the number of Protestants that were calm for 2 out of 3 days is 0.061.

3 0

2 years ago

the original price of a skateboard is 50% the sale price includes 20% discount what is the sale price

ss7ja [257]

Answer:

50 × 0.8 = $40 is the sale price

Step-by-step explanation:

7 0

3 years ago

Kala drove 250 miles using 9 gallons of gas. at this rate how many gallons of gas would she need to drive 275 miles

Rus_ich [418]

Answer:

9.9 gallons

Step-by-step explanation:

To solve this problem, we need to cross multiply. Lets input the values (250, 275, 9) as shown below:

$\frac{9}{250} = \frac{x}{275}$

Next we cross multiply. We multiply 250 and x, and we multiply 9 and 275.

$250(x) = 250x\\$

$275(9) = 2,475$

Now, lets put the values above back into the equation:

$250x = 2,475$

Lets solve this equation. First we divide 2,475 by 250, making x by itself.

$\frac{2,475}{250} =x$

$9.9 = x$

This means that to drive 275 miles, Kala would need to use 9.9 gallons of gas.

8 0

3 years ago