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3 years ago

the scale on the map is 1 cm : 80 km . if two cities are 4 cm apart on the map, what is the actual distance between the cities?

Mathematics

1 answer:

jarptica [38.1K]3 years ago

8 0

Hello there! Your answer would be 'the actual distance between the cities is 320 kilometers'.

Okay, so to solve this, we can use unit rates. We know that for every one centimeter we have eighty kilometers. So, whatever we multiply the centimeter value by, we can multiply the kilometer value by the same number and get our answer.

So if the centimeter value is 4, multiply the kilometer value by 4.

80 x 4 = 320

This means that the cities are 320 kilometers apart, and you have your answer!

Hope this helps, and have a great day!

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93/4

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20/5=4

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3 years ago

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sleet_krkn [62]

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2 years ago

if trapezoid ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°, where would point A’lie

maria [59]

Answer:

Answer: (second option) (-4,1)

Step-by-step explanation:

Transformations of Points and Shapes

The image shows a trapezoid ABCD where point A has coordinates (-4,1).

The following transformations are performed:

Reflection over the y-axis: If a point (x,y) is reflected over the y-axis, it becomes (-x,y). Thus point A becomes A'=(4,1)

Reflection over the x-axis: If a point (x,y) is reflected over the x-axis, it becomes (x,-y). Thus point A' becomes A''=(4,-1)

Rotation 180°: If a point (x,y) is rotated 180°, it becomes (-x,-y). Thus point A'' becomes A'''=(-4,1)

Answer: (second option) (-4,1)

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2 years ago

Geraldine is asked to explain the limits on the range of an exponential equation using the function f(x) = 2^x. She makes these

Dafna11 [192]

Consider the exponential function $f(x)=2^x.$

By definition, the domain of a function is the set of input argument values for which the function is real and defined.

Let we take $x=2,$ then $f(2)=2^2=4$

$x=4,$ then $f(4)=2^4=16$

$x=10,$ then $f(10)=2^{10}=1024$

If we chose larger values of x, we get larger function values.

For example, If we take $f(0)=2^0=1$

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Thus the domain of the function is the set of all real numbers.

Thus the range is limited to the set of positive real numbers. That is, $(0,\infty)$

If we choose larger values of x, we will get larger function values, as the function values will be larger powers of 2.

If we choose smaller and smaller x values, the function values will be smaller and smaller fractions.

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2 years ago

Read 2 more answers

A certain process for removing copper from copper bearing ore had been in use for a period of time, and it is known that this pr

Anika [276]

Answer:

d. Ore treated with the new process.

Step-by-step explanation:

This is a common practice in statistics, in which we use a sample of a population to infer something about the entire population. We should use a sample of 100.

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In this problem, we have that:

A new process that is supposed to increase the recovered amount is being tested. In a simple random sample of 100 batches of ore, an average of 42 pounds per ton were recovered using the new process.

So the population of interest is the ore treated with new process. We use a sample of 100 to gather information about the entire population.

So the correct answer is:

d. Ore treated with the new process.

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2 years ago