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ella [17]
3 years ago
14

New York City is approximately 205 miles from Washington, D.C. How far apart will these cities appear on a map with the scale 1

in: 50 miles?
Mathematics
1 answer:
gavmur [86]3 years ago
4 0

Answer: 4.1 inches

Step-by-step explanation:

From the question, we are informed that New York City is approximately 205 miles from Washington, D.C.

The distance that these cities will appear on a map with the scale 1 in: 50 miles will be represented by x.

Therefore, x:205 = 1:50

Cross multiply

x/205 = 1/50

50x = 205

x = 205/50

x = 4.1 inches

The answer is 4.1 inches

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C because the line crosses the y axis at 3
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How many inches equals how many miles
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Two of the vertices of a rectangle are (1, −6) and (−8, −6). If the rectangle has a perimeter of 26 units, what are the coordina
pantera1 [17]

Answer:(x_1,y_1)=(1,-2)

(x_2,y_2)=(-8,-2)

Step-by-step explanation:

Given

Co ordinates of vertices(1,-6) and (-8,-6)

When two points is given then Length of two points is given by

L=\sqrt{\left ( x_2-x_1\right )^2+\left ( y_2-y_1\right )^2}

L=\sqrt{\left ( 1-\left ( -8\right )\right )^2+\left ( -6+6\right )^2}

L=\sqrt{9^2}=9 units

Perimeter of rectangle is =26 units

Let the other side be x

thus

2\left ( x+9\right )=26

x+9=13

x=4 units

therefore to get the other two co ordinates

such that the length of that side is 4 units is

(x_1,y_1)=(1,-2)

(x_2,y_2)=(-8,-2)

Horizontal distance will remain same only vertical distance will change in given co ordinates to obtain the remaining two co ordinates

To verify the above two  distance between two points must be 13 units

6 0
3 years ago
Theoretical probability is the probability that an event occurs when all of the outcomes of the experiment are equally likely.
MA_775_DIABLO [31]

1. The probability that we select a red marble is 1/3.

We found this out by taking the amount of red marbles there are and the total amount of marbles. The total amount of marbles is 18 and there are red marbles. So, it would become 6 out of 18 or 6/18. Then, we simplify 6/18 to the simplest form. The greatest common factor of both of those numbers is 6. Lastly, we divide each of them by 6 to get the simplest form.

6/18 = (6/6)/(18/6)

(6/6)/(18/6) = 1/3

So, therefore, the theoretical probability of picking a red marble is 1/3.

2. The probability that we select a blue marble is 2/3.

We can find this out by taking the amount of blue marbles there are and the total amount of marbles. We know that the total amount of marble is 18 and there are 12 blue marbles. So, we simply get the GCF (greatest common factor) and divide them by it.

Greatest Common Factor of 12 and 18 = 6

12/18 = (12/6)/(18/6)

(12/6)/(18/6) = 2/3

Thus, the theoretical probability of picking a blue marble is 2/3.

4 0
3 years ago
The odds against Carl beating his friend in a round of golf are 9:7. Find the probability that Carl will lose?
grandymaker [24]

The ratio 9:7 gives you following statement:

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Then the probability that Carl will lose is

Pr(\text{Carl will lose})=\dfrac{7}{16}.

Answer: Pr(\text{Carl will lose})=\dfrac{7}{16}.


7 0
4 years ago
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