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nasty-shy [4]
3 years ago
15

The scale on a map is 5 cm : 8 km. If the distance between two cities is 56 km, how far apart in cm are the two cities on the ma

p
Mathematics
2 answers:
larisa86 [58]3 years ago
7 0

Answer: 250km

Step-by-step explanation:

Andrew [12]3 years ago
5 0

Answer:

The cities are 35 cm apart in map.

Step-by-step explanation:

The scale on a map is 5 cm : 8 km.

\texttt{Scale = }\frac{5cm}{8km}\\\\\texttt{Scale = }\frac{5cm}{8\times 100000cm}=\frac{5}{800000}

Now we need to find how much is the distance in map if the original distance is 56 km.

Distance in map = Scale x Original distance

\texttt{Distance in map = }\frac{5}{800000}\times 56km=\frac{5\times 5600000cm}{800000}=35cm

The cities are 35 cm apart in map.

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The number of ways of constructing questions from the pool of 28 questions if her test is to have 3 difficult, 4 average and 3 easy questions is  924, 000 ways

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Note that the formula for combination is given as;

Combination = \frac{n!}{r!(n-r)!}

From the information we have that;

There are 28 questions in the pool

The test should have a total of 10 questions;

6 difficult , 10 average and 12 easy questions

We are asked to determine the combination of;

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6C3 = \frac{6!}{3!(6-3)!}

6C3 = \frac{720}{36}

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10C4 = \frac{10!}{4!(10-4)!}

10C4 = \frac{3628800}{17280}

10C4 = 210

12C4 = \frac{12!}{4!(12-4)!}

12C4 = 220

The number of ways of constructing the questions is

= 20 × 210 × 220

= 924, 000 ways

Thus, the number of ways of constructing questions from the pool of 28 questions if her test is to have 3 difficult, 4 average and 3 easy questions is  924, 000 ways

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A ball is dropped from the top of a building that is 1,000 feet high. Its height, in feet, as a function of the time, x, in seco
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Positive integers are the same as natural numbers.

Positive rational numbers are numbers greater than 0 that can be written as a ratio of integers (1/1, 3/2, 2/1, etc.).  However, the time can also be irrational (for example, x=√2).

Positive real numbers are numbers greater than 0 and not imaginary (don't contain √-1).  This is the correct domain of the function.

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Step-by-step explanation:

From your problem statement, I believe the equation will look like this:

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The slash means "divided by" -- you should use division to solve this equation.

For division involving exponents with the same base, you can use the following rule:

\frac{A^{x}}{A^{y}} = A^{x - y}

Subtituting 6 for A, 8 for x and 6 for y, we get the following:

\frac{6^{8}}{6^{6}} =6^{8 - 6} = 6^{2} = 36

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