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VARVARA [1.3K]
2 years ago
13

Please I need the answers now​

Mathematics
2 answers:
Marina CMI [18]2 years ago
6 0

#a

\\ \tt\hookrightarrow 2(2x+1)=30

\\ \tt\hookrightarrow 4x+2=30

\\ \tt\hookrightarrow 4x=28

\\ \tt\hookrightarrow x=7

#b

\\ \tt\hookrightarrow 3(4x-3)=-12

\\ \tt\hookrightarrow 12x-9=-12

\\ \tt\hookrightarrow 12x=-3

\\ \tt\hookrightarrow x=-1/4

#c

\\ \tt\hookrightarrow 4(2x-7)=20

\\ \tt\hookrightarrow 2x-7=5

\\ \tt\hookrightarrow 2x=12

\\ \tt\hookrightarrow x=6

#d

\\ \tt\hookrightarrow 7(3x-4)=63

\\ \tt\hookrightarrow 3x-4=9

\\ \tt\hookrightarrow 3x=13

\\ \tt\hookrightarrow x=13/3

#e

\\ \tt\hookrightarrow 6(3x+3)=-72

\\ \tt\hookrightarrow 18x+18=-72

\\ \tt\hookrightarrow 18x=-90

\\ \tt\hookrightarrow x=-5

#f

\\ \tt\hookrightarrow -2(6x-3)=6

\\ \tt\hookrightarrow 6x-3=-3

\\ \tt\hookrightarrow 6x=0

\\ \tt\hookrightarrow x=0

KengaRu [80]2 years ago
5 0

The value of x is 7.

The value of x is -1/4.

The value of x is 7.

The value of x is 4 1/3.

The value of x is -5.

The value of x is 0.

<h3>What is the value of x in the equations?</h3>

2(2x + 1) = 30

The first step is to divide both sides of the equation by 2

2x + 1 = 15

Combine similar terms

2x = 15 - 1

2x = 14

x = 7

3(4x - 3) = -12

The first step is to divide both sides of the equation by 3

4X - 3 = -12 /3

4x - 3 = -4

Combine similar terms

4x = -4 + 3

4x = - 1

x = -1/4

4(2x - 7) = 20

The first step is to divide both sides of the equation by 4

2x - 7 = 5

Combine similar terms

2x = 5 + 7

2x = 12

x = 6

7(3x - 4) = 63

The first step is to divide both sides of the equation by 7

3x - 4 = 9

Combine similar terms

3x = 9 + 4

3x = 13

x = 4 1/3

6(3x + 3) = -72

The first step is to divide both sides of the equation by 6

3x + 3 = - 12

Combine similar terms

3x = -12 - 3

3x = -15

x = -5

-2(6x - 3) = 6

The first step is to divide both sides of the equation by -2

6x - 3 = -3

Combine similar terms

6x = -3 + 3

6x = 0

x = 0

To learn more about division, please check: brainly.com/question/194007

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1 out of every 3 races could be won by Rachelle

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4 0
3 years ago
If a positive integer is equal to the following product: 25b3c425b3c4, where b and c are distinct prime numbers greater than 2,
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Answer: 64 distinct even factors

Step-by-step explanation:

let the 2 distinct numbers be b and c and the integer is expected to be 25b3c425b3c4

since b, c > 2 and prime numbers,

potential options include 3, 5, and 7

hence the likelihoods are (b = 3, c = 5), (b = 5, c = 3), (b = 3, c = 7), (b = 7, c = 3), (b = 5, c = 7), (b = 7, c = 5)

Possibility 1 (b = 3, c = 5)

integer is now 253354253354

the distinct even factors = 2, 202, 262, 1934, 19802, 26462, 195334, 253354, 2000002, 2594062, 19148534, 25588754, 262000262, 1934001934, 2508457954, 253354253354

number of distinct even factors = 16

Possibility 2 (b = 5, c = 3)

integer is now 255334255334

the distinct even factors = 2, 86, 202, 5938, 8686, 19802, 253354, 599738, 851486, 2000002, 25788734, 58792138, 25588754, 86000086, 2528061934, 1934001934, 5938005938, 253354253354

number of distinct even factors = 18

Possibility 3 (b = 3, c = 7)

integer is now 253374253374

the distinct even factors = 2, 6, 22, 66, 202, 242, 606, 698, 726, 2094, 2222, 6666, 7678, 19802, 23034, 24442, 59406, 70498, 73326, 84458, 211494, 217822, 253374, 653466, 775478, 2000002, 2326434, 2396042, 6000006, 6910898, 7188126, 8530258, 20732694, 22000022, 25590774, 66000066, 76019878, 228059634, 242000242, 698000698, 726000726, 836218658, 2094002094, 2508655974, 7678007678, 23034023034, 84458084458,253354253354

number of distinct even factors = 48

Possibility 4 (b = 7, c = 3)

integer is now 257334257334

the distinct even factors = 2, 6, 14, 22, 42, 66, 154, 202, 462, 606, 1114, 1414, 2222, 3342, 4242, 6666, 7798, 12254, 15554, 19802, 23394, 36762, 46662, 59406, 85778, 112514, 138614, 217822, 257334, 337542, 415842, 653466, 787598, 1237654, 1524754, 2000002, 2362794, 3712962, 4574262, 6000006, 8663578, 11029714, 14000014, 22000022, 25990734, 33089142, 42000042, 66000066, 77207998, 121326854, 154000154, 231623994, 363980562, 462000462, 849287978, 1114001114, 2547863934, 3342003342, 7798007798, 12254012254, 23394023394, 36762036762, 85778085778, 257334257334

number of distinct even factors = 64

Possibility 5 (b = 5, c = 7)

integer is now 255374255374

the distinct even factors = 2, 14, 34, 58, 74, 202, 238, 406, 518, 986, 1258, 1414, 2146, 3434, 5858, 6902, 7474, 8806, 15022, 19802, 24038, 36482, 41006, 52318, 99586, 127058, 138614, 216746, 255374, 336634, 574258, 697102, 732674, 889406, 1517222, 2000002, 2356438, 3684682, 4019806, 5128718, 9762386, 12455458, 14000014, 21247546, 25792774, 34000034, 58000058, 68336702, 74000074, 87188206, 148732822, 238000238, 361208282, 406000406, 518000518, 986000986, 1258001258, 2146002146, 2528457974, 6902006902, 8806008806, 15022015022, 36482036482, 255374255374

number of distinct even factors = 64

Possibility 6 (b = 7, c = 5)

integer is now 257354257354

the distinct even factors = 2, 202, 19802, 257354, 2000002, 25992754, 2548061954, 257354257354

number of distinct even factors = 8

From the six possibilities, the highest number of likely distinct even factors is 64

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