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Stolb23 [73]
3 years ago
9

10x - (2x + 9) = -3 (15 - 4x)

Mathematics
2 answers:
natta225 [31]3 years ago
8 0

Answer:

x=9

Step-by-step explanation:

First, distribute the negative sign, changing (2x+9) to -2x-9

next, distribute. 10x+−2x+−9=(−3)(15)+(−3)(−4x)

then, combine like the like terms  (10x+−2x)+(−9)=12x−45

then you get  8x+−9=12x−45, and you will subtract 12x from both sides, resulting in −4x−9=−45. To get -4x by itself, add 9 to both sides

lastly, divide both sides by -4

x=9

Bas_tet [7]3 years ago
6 0

Answer:

x = 9

Step-by-step explanation:

<u>Distribute</u>

10x - (2x + 9) = -3 (15 - 4x)

10 <u>− 2 − 9</u> = − 3 (15 − 4)

<u>Combine like terms</u>

8 − 9 = − 3 (15 − 4 )

<u>Rearrange terms</u>

8 − 9 = − 3 (− 4 + 15)

<u>Distribute</u>

8 − 9 = 12 − 45

<u>Add 9 to both sides of the equation</u>

8 − 9 + 9 = 12 − 45 + 9

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1222 * 11 / 13 = 1034
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4 years ago
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Smallest of 3 consecutive positive intergers if the product of the smaller two intergers is 5 less than 5 times the largest inte
amm1812

What a delightful little problem ! (Partly because I could see
right away how to do it, and had the answer in a few minutes,
after a lot of impressive-looking algebra on my scratch-paper.)

Three consecutive integers are . . . x,  x+1,  and  x+2

The smallest two are . . . x  and  x+1
    Their product is . . . . . x(x+1)

5 times the largest one is . . . 5(x+2)
      5 less than that is . . . . . . 5(x+2)-5

Now, the conditions of the problem say that    <u>x (x + 1) = 5 (x+2) - 5</u>
THAT's the equation we have to solve, to find 'x' .

       Eliminate parentheses:    x² + x = 5x + 10 - 5
            Combine like terms:    x² + x = 5x + 5
Subtract 5x from each side:    x² - 4x = 5
Subtract  5  from each side:   <u>x² - 4x - 5 = 0</u>

You could solve that by factoring it, or use the quadratic equation.

Factored, it says that    (x + 1) (x - 5) = 0

From which       <em>x = -1</em>
             and      <em>x = +5</em>

We only want the positive results, so our three consecutive integers are

             5,  6,  and  7 .   

To answer the question, the smallest one is    <em><u>5 </u></em>.

<u>Check</u>:

   5 x 6  ? = ?  (7 x 5) - 5

       30  ? = ?  (35) - 5

         30   =   30

             yay !   


6 0
3 years ago
The board of a large company is made up of 7 women and 9 men. 6 of them will go as a delegation to a national conference.
Burka [1]

Answer:

a) 5765760

b) 60480

c) 5705280

Step-by-step explanation:

Assuming that order is not important:

Number of women = 7

Number of men = 9

Members of the delegation = 6

a) How many delegations are possible?

n=\frac{16!}{(16-6)!}=16*15*14*13*12*11\\ n= 5765760

b) How many of these delegations have all men?

n_{men} = \frac{9!}{(9-6)!}=9*8*7*6*5*4  \\n_{men} = 60480

c) How many of these delegations have at least one woman?

n_{women >0}=n-n_{men}\\n_{women >0} =5765760-60480\\n_{women >0} =5705280

4 0
4 years ago
The measures of two complementary angles have a ratio of 3 : 2. What is the measure of the larger angle?
Nonamiya [84]

Answer:

larger angle:  54°

Step-by-step explanation:

90 / (3 + 2) = 18

larger angle: 13 x 3 = 54°

check: smaller angle: 18 x 2 = 36°

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4 0
3 years ago
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Answer:

121.666666667

Step-by-step explanation:

6 0
4 years ago
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