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Ainat [17]
3 years ago
8

200 years ago, as it became more and more evident that the

Mathematics
1 answer:
svp [43]3 years ago
5 0

Answer:

The American population was 20% of the British population.

Step-by-step explanation:

Let us call A the american population, B the British population before the migration, and x the population that migrated from America to Britannia.

Now, the population x that migrated was 20% of the american population:

(1).\: \: x = 0.2A,

and the same population x increase the British population by 4%:

x+B = 1.04B \\\\ (2). \:\:x = 0.04B.

Combining equation (1) and (2) we get:

0.2A = 0.04B

A = \dfrac{0.04B}{0.2}

\boxed{A = 0.2B}

Thus, the American population was 20% of the British population.

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Sylvia and her sister are both reading books. Sylvia reads 2 pages every 5 minutes. Her sister reads 3 pages every 6 minutes. Wh
umka21 [38]

Answer:

6

Step-by-step explanation:

Silvia: 2 pages to 5 minutes

      into...

Silvia: 1 page to __ minutes

<u>Find Unit Rate</u> : 5/2= 2.5

Unit Rate for Silvia is  2.5

<u>Written out</u> : 2 pages x 2.5 = 5 minutes

<u>Example</u> : 1 page to 2.5  minutes

<u>What we found</u> : ___ pages to 60 minutes(60 divided by 2.5) is  

<h2>24 pages to 60 minutes</h2>

Silvia's sister: 3 pages to 6 minutes

     into...

Silvia's sister: 1 pages to ___ minutes

<u>Find Unit Rate</u> : 6/3= 2

Unit Rate for Silvia is  2

<u>Written out</u> : 3 pages x 2 = 6 minutes

<u>Example</u> : 1 page to 2  minute

<u>What we found</u> : ___ pages to 60 minutes(60 divide by 2) is

<h2>30 pages to 60 minutes  </h2>

<u>Final Step</u> : 30 - 24 = 6

7 0
3 years ago
Rob mixed 3.7 grams of salt into a pot of soup he was cooking. Before he served the soup, Rob added 0.5 grams of salt. How much
saul85 [17]

Answer:

4.2 grams in total

Step-by-step explanation:

<h2>Remember to line up the decimal point when adding numbers that contain decimals.</h2>

 3.7

+0.5

_______

 4.2                    

5 0
3 years ago
Hellpppppp and show work or at least explain thank you!!!!​
Veseljchak [2.6K]

Answer:

the answer is 33

Step-by-step explanation:

because 800 divided by 24 equals. 33

7 0
3 years ago
Read 2 more answers
Go to a clothing store with
olga2289 [7]

Answer:

original price $75

discount $18.75

sale price $56.25

Step-by-step explanation:

I found a pair of dress pants for $75.

Since the discount is 25%, then the discount is

25% of $75 = 0.25 × $75 = $18.75

The sale price is the original price, $75, minus the discount, $18.75.

$75 - $18.75 = $56.25

5 0
1 year ago
What is the division property of exponents?
zavuch27 [327]
<h3>Answer:</h3>

\dfrac{a^b}{a^c}=a^{(b-c)}

<h3>Step-by-step explanation:</h3>

An exponent represents repeated multiplication. For example, ...

... x^3 = x·x·x

... x^2 = x·x

If we divide these, the x's in the denominator cancel an equal number in the numerator:

... (x·x·x)/(x·x) = x

If we represent the repeated multiplication using exponents, we can represent the cancellation by subtraction:

... (x^3)/(x^2) = x^(3-2) = x^1 = x

Once we have this idea in mind that division can be done by subtracting denominator exponents, we can use it regardless of the magnitude or sign of the exponents involved.

7 0
3 years ago
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