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olga2289 [7]
3 years ago
6

43/645= I need the to show the work

Mathematics
1 answer:
Licemer1 [7]3 years ago
4 0
I'm guessing you need 43/645 simplified:

First, we need to find the greatest common factor (GCF) of the numerator (43) and the denominator (645). To do so, we list all the factors of each number and find the common ones.

Factors of 43: 1, 43
Factors of 645: 1, 3, 5, 15, 43, 129, 215, 645

Out of the listed factors for each number, which numbers are common between the two? The common factors are 1 and 43. Since we are looking for the GREATEST common factor, which number out of 1 and 43 is the greatest? The GCF is 43.

Second, we can now divide the numerator (43) and the denominator (645) by the GCF we recently found which was 43. 

43 \div 43 = 1 \\ 645 \div 43 = 15

Third, our new simplified fraction is 1/15. We collected our new numerator and denominator.

Answer in fraction form: \fbox {1/15}
Answer in decimal form: \fbox {0.0667}
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Simplify the expression 5+6i/4+6i<br> A) 56-6i/-20<br> B) -16-6i/-20<br> C)56-6i/52<br> D) -16-6i/52
IRISSAK [1]

Answer:

The\ simplified\ form\ of\ the\ \frac{5 + 6i}{4 + 6i}\ is\ \frac{56-6i}{52}.

Option (C) is correct .

Step-by-step explanation:

As the expression given in the question as follows.

= \frac{5 + 6i}{4 + 6i}

Now rationalize the expression.

= \frac{5 + 6i\times 4 - 6i}{4 + 6i\times 4 - 6i}

Using the formula

a² - b² = (a - b) (a + b)

Using in the above

= \frac{5 + 6i\times 4 - 6i}{(4)^{2} - (6i)^{2}}

= \frac{5\times 4-5\times 6i+6i\times 4-36\ i^{2}}{16 - 36(i)^{2}}

As i² = -1

= \frac{20-30i+24i+36}{16 + 36}

= \frac{56-6i}{52}

Therefore\ the\ simplified\ form\ of\ the\ \frac{5 + 6i}{4 + 6i}\ is\ \frac{56-6i}{52}.

Option (C) is correct .

8 0
3 years ago
Read 2 more answers
a car manufacturer determines that it's profit, P, in thousands of pesos, can be modeled by the function P(x)=0.001 25x4+x-2, wh
PSYCHO15rus [73]

Answer:

use a calculator itl be easy

Step-by-step explanation:

substitute x to 150

=0.00125(x)^4+x-3

=0.00125(150)^4+150-3

WE ARE USING PEDMAS HERE SO BE CARE-FULL <u>parenthesis,exponent,multiplication,division,addition,subtraction</u>

<u>=0.00125(506250000)+150-3</u>

<u>=632812.50+150-3</u>

=<u>632962.50-3</u>

=<u>632959.50</u>

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I AM SO SORRY IF IT IS WRONG :)

3 0
3 years ago
In this figure, ∠a and ∠b are
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angles a and b are supplementary because they form a straight line

5 0
3 years ago
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One gallon is approximately 3. 875 liters. Mario buys 1. 5 gallons of gasoline for his lawn trimmer. How many liters of gasoline
agasfer [191]

Based on the amount of gasoline Mario bought in gallons, the amount in liters would be <u>5.8 liters. </u>

A single gallon is equivalent to 3.875 liters.

If Mario bought 1.5 gallons of gasoline, the amount he bought in liters would be:

=<em> Gasoline in gallons x Number of liters per gallon </em>

= 1.5 x 3.875

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In conclusion, Mario bought 5.8 liters of gasoline.

<em>Find out more at brainly.com/question/237650. </em>

5 0
3 years ago
13pts HURRY PLZ!!
Art [367]

Answer:

35b+75f=27750  

25b+60f=21750

I think this is correct

8 0
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