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3 years ago

8

A map has a scale of 2 inches = 20 kilometers. If the distance between two cities on the map is 10 inches, what is the actual di

stance between the cities?

1 answer:

Brilliant_brown [7]3 years ago

5 0

100 kilometers you solve with a proportion 2/20=10/x
2x=200 so x=100

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Calvin had 30 minutes in time-out. For the first 23 1/3 minutes, Calvin counted spots on the ceiling. For the rest of the time,

scoundrel [369]

Answer: $\frac{20}{3}\ minutes$ or $6 \frac{2}{3}\ minutes$

Step-by-step explanation:

For this exercise you can convert the mixed number to an improper fraction:

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2. Add the product obtained and the numerator of the fraction (This will be the new numerator).

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Then:

$23\frac{1}{3}= \frac{(23*3)+1}{3}= \frac{70}{3}\ minutes$

You know that he had 30 minutes in time-out, he counted spots on the ceiling for $\frac{70}{3}$ minutes and the rest of the time he made faces at his stuffed tiger.

Then, in order to calculate the time Calvin spent making faces at his stuffed tiger, you need to subract 30 minutes and $\frac{70}{3}$ minutes:

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Rudik [331]

The result of the multiplication in scientific notation is given by:

$6 \times 10^{6}$

<h3>What is scientific notation?</h3>

A number in scientific notation is given by:

$a \times 10^b$

With the base being $a \in [1, 10)$ .

When we multiply two numbers in scientific notation, we multiply the bases and add the exponents.

For this problem, the numbers are given by:

$3 \times 10^{-4}, 2 \times 10^{10}$

The result of the multiplication is given by:

$3 \times 10^{-4} \times 2 \times 10^{10} = 6 \times 10^{-4 + 10} = 6 \times 10^{6}$

The result of the multiplication in scientific notation is given by:

$6 \times 10^{6}$

More can be learned about scientific notation at brainly.com/question/16394306

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1 year ago