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Alona [7]
3 years ago
11

Please answer quickly in those 3 question if u know one of those answer than answer it if u don't than its fine

Mathematics
2 answers:
Diano4ka-milaya [45]3 years ago
5 0
  1. 1x  +   1y = 12    ⇒ 14x + 14y = 168
    14x  + 10y = 140  ⇒ <u>14x + 10y = 140</u>
                                                 <u>4y</u> = <u>28</u>
                                                  4      4
                                                   y = 7
                                   14x + 10(7) = 140
                                       14x + 70 = 140
                                        <u>        -70    -70</u>
                                               <u>14x</u> = <u>70</u>
                                                14     14
                                                   x = 5
                                             (x, y) = (5, 7)
                    A. five adults and 7 children   

2. x + y = 4
    <u>x - y = -6</u>              
       <u>2x</u> = <u>-2</u>
        2      2
         x = -1
 -1 + y = 4
<u>+1        +1</u>
        y = 5
(x, y) = (-1,5)
C. (-1,5)

3.  x +        y = 178  ⇒ 0.1x +   0.1y = 17.8
0.1x + 0.25y = 29.8 ⇒<u> 0.1x + 0.25y = 29.8</u>
                                             <u> -0.15y</u> = <u>-12</u>
                                               -0.15    -0.15
                                                      y = 80
                                0.1x + 0.25(80) = 29.8
                                         0.1x + 20 = 29.8
                                         <u>          -20   -20    </u>
                                                <u>0.1x</u> = <u>9.8</u>
                                                 0.1     0.1
                                                     x = 98
                                               (x, y) = (98, 80)
                         D. 98 dimes and 80 quarters
inn [45]3 years ago
3 0
Lst question:  x = 5, y = 7

2nd question: x = -1, y = 5

3rd question: x = 98, y = 80
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3 years ago
an element with a mass of 540 grams decays by 17.9% per minute to the nearest tenth of a minute how long will it be until there
STatiana [176]

Answer:

It'll take approximately 9.1 minutes

Step-by-step explanation:

The decay of this element can be modeled by the following expression:

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Where m is the mass of the element in a given minute t. This expression comes from a compounded interest formula, with negative rate, since they will work in the same manner. Therefore to find how long until it reaches 90 g, we need to make m = 90 and solve for t.

90 = 540*(0.821)^t

(0.821)^t = 90 / 540

(0.821)^t = 1/6

ln(0.821^t) = ln(1/6)

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Answer:

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Given

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3 years ago
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