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Anon25 [30]
4 years ago
10

Please help what is the solution to the system of equations?

Mathematics
1 answer:
uysha [10]4 years ago
3 0

Answer:

(5, 12)

Step-by-step explanation:

Start with:

3x + 2y = 39

5x -    y  = 13

We'll use elimination by addition/subtraction here.  Multiply the 2nd equation by 2 to obtain -2y, which cancels out the +2y in the first equation:

3x + 2y = 39

10x  -2y  = 26

---------------------

13x          = 65

Dividing both sides by 13, we get x = 5.

Subbing 5 for x in the 2nd equation, we get 5(5) - y = 13.

Then 25 - y = 13, and      12 - y = 0.  Finally, y = 12.

The solution is (5, 12).

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What two numbers have a product of -54 and a sum of -3?
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Answer:

-9 and 6

Step-by-step explanation:

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3 years ago
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A certain book is for sale in both Belize and Brazil. In Belize, it sells for 80.39 Belize dollars. In Brazil, it sells for 63.6
kompoz [17]
A book is sold in Belize for 80.39 Belize dollars.
In Brazil, it sells for 63.65 Brazilian reals.

The exchange rate of US Dollars to Belize Dollars is 1:1.9246
<span>The exchange rate of US Dollars to Brazilian Real is 1:1.7880
</span>
If we convert the two into dollars,
Belize Dollars 
1 : 1.9246 = X : <span>80.39 
1.9246X = 80.39
X = $ 41.77 

</span>Brazilian Real
1 : 1.7880 = X : 63.65 <span> 
</span>1.7880X = 63.65 <span>
X = $ 35.60
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Difference = $ 41.77 - $ 35.60
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<span>So, in Belize the book is more expensive by $ 6.17</span>
0 0
4 years ago
Does anyone know what the formula is? ​
N76 [4]

Answer:

29.50 degrees to the nearest hundredth.

Step-by-step explanation:

First we can find the measure of < CGB by using the Cosine Rule:

cos <CGB = (11^2 - 5.3^2 - 6.9^2) / (-2 * 5.3 * 6.9)

= -0.61936

So m < CGB = 128.27 degrees.

Now we can find the measure of x by using the Sine Rule:

11 / sin 128.27 = 6.9  / sin x

sin x =  6.9 * sin 128.27 / 11

= 0.49248

x = 29.5035 degrees

6 0
3 years ago
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Which letter represents the opposite of 1/4 on the number line below
Sergio [31]
The opposite of 1/4 is -1/4 which is represented by "L" on the number line.
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3 years ago
A certain office supply store stocks 2 sizes of self-stick notepads, each in 4 colors: blue, green, yellow, or pink. The store p
liq [111]

Answer:  (C) 16

Step-by-step explanation:

Given : Number of sizes of self-stick notepads= 2

Number of colors = 4

Type 1 : The store packs the notepads in packages that contain 3 notepads of the same size.

i.e. By Fundamental principle of counting , we have

Number of different packages possible = Number of colors x No. of sizes

= 4\times2=8

Type 2: Notepads of the same size and of 3 different colors.

Choices for 3 different colors out of 4 : ^4C_3=\dfrac{4!}{3!(4-3)!}=4

Again by fundamental principle :

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Hence, the correct answer is option (c) 16.

4 0
4 years ago
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