I have a few math questions they all have 3 choices first to get them right gets the best anwser vote 7-15?

Question

7. Solve for x: 1/2(x + 8) + x = 1/3x + 3

a. -6/7
b. undefined
c. 6/7
8. Solve for x: 4.1x - 6.2 = 2

a. 2
b. undefined
c. -1

9. Solve for x: 0.84 - 2.3x = 7x - 3

a. 2.42
b. undefined
c. 0.413

10. Solve for x: 1/4x - 2 > 1/2x + 3

a. x < -20
b. x > -20
c. x > 5/2

11. Solve for x: -0.82x + 3.2 > 5.58x

a. x < 2
b. x < 1/2
c. x > 1/2

12. Solve for x: 1/3x - 2 < 4/5x + 5

a. -x < 15
b. x < -15
c. x > -15

13. 2x - 3 ≥ 1/2(4x + 4)

a. x = 1
b. x = all real numbers
c. x has no solution

14. 1/3(9x - 9) < 3x - 2

a. x = 1
b. x = all real numbers
c. x has no solution

15. 2/3(x + 9) ≤ 1/3(2x + 12)

a. x ≤ 6
b. x = all real numbers
c. x has no solution

Answer 1

7A
8A
9C
10A
11B
12C
13B
14B
15C

For numbers 13-14, there are solutions. The third person's work is faulty. If you have 3x-3x, it's just 0 because x is the same on both terms. For example, if x is 4, then it's 12-12=0. If x=3billion, then you have 9billion-9billion=0. There aren't zero x's left, there's just 0. 0 times x is just zero anyways, so why write the x and get confused by dividing by zero?

Answer 2

7.)
(1/2)(x + 8) + x = (1/3)x + 3

Multiply everything by 6

3(x + 8) + 6x = 2x + 18
3x + 24 = -4x + 18
7x = -6
x = (-6/7)

ANS : A.) (-6/7)

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8.)
Solve for x: 4.1x - 6.2 = 2
4.1x - 6.2 = 2
41x - 62 = 20
41x = 82
x = 2

ANS : A.) 2

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9.)
.84 - 2.3x = 7x - 3
84 - 230x = 700x - 300
-930x = -384
x = about 0.413

ANS : C.) 0.413

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10.)
(x - 8)/4 > (x + 6)/2
2(x - 8) > 4(x + 6)
x - 8 > 2(x + 6)
x - 8 > 2x + 12
-x > 20
x < -20

ANS : A.) x < -20

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11.)
-.82x + 3.2 > 5.58x
-82x + 320 > 558x
-640x > -320
x < (1/2)

ANS : B.) x < (1/2)

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12.)
(1/3)x - 2 < (4/5)x + 5
(x - 6)/3 < (4x + 25)/5
5(x - 6) < 3(4x + 25)
5x - 30 < 12x + 75
-7x < 105
x > -105

ANS : A or C since -x < 15 becomes x > -15
If you meant -x > 15, then that would become x < -15, which that would make A and B the same answer, and C would be the only answer.

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13.)
2x - 3 ≥ 1/2(4x + 4)
2x - 3 >= (1/2)(4(x + 1))
2x - 3 >= (4/2)(x + 1)
2x - 3 >= 2(x + 1)
2x - 3 >= 2x + 2
0x >= 5
x >= (5/0)

ANS : C.) x has no solution

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14.)
1/3(9x - 9) < 3x - 2
(1/3)(9(x - 1)) < 3x - 2
(9/3)(x - 1) < 3x - 2
3(x - 1) < 3x - 2
3x - 3 < 3x - 2
0x < 1
x < (1/0)

ANS : C.) x has no solution

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15.)
2/3(x + 9) ≤ 1/3(2x + 12)
2(x + 9) <= 2x + 12
2x + 18 <= 2x + 12
0x <= -6
x <= (-6/0)
ANS : C.) x has no solution

Answer 3

7)a 8)a 9)c 10)a 11)b 12)c 13)c 14)c 15)c

Answer 4

a million. 2a+5(a+3)= 2a + 5a + 15 = 7a + 15 2. write the fraction as an equivalent with the given denominator. 4y/3= ?/3 ?= say, 4y/3= x/3 ; multiply both side with 3 ; we get, 12y / 3 = x ie. x = 4y(If the denominators are equivalent, nominators are also equivalent. so your x = 4y ) 3. y+2=-y+7 y with information from taking the unknown 'y' to at least one side and the figures to the different, ( or with information from including y-2 to each and each and every side ) y + y = 7 - 2 ; 2y = 5 ; y = 2.5 4. what's the liquid crystal show of 6 and 27 On factorization, we get the finest factors as ( 2, 3 ) and ( 3, 3, 3 ) for 6 and 27 respectively. subsequently the liquid crystal show is 3 5. a wall is 24 inches huge, 10 inches is concrete, 6 is brick and eight inches is limestone? what fraction of the wall is concrete? complete thickness of wall is 24 inches and each and each and every of the ingrediants are component to this wall. So, human being components will be expressed as fraction of 24 inches. so the fractions are 10/24 , 6/24 and eight/24 respectively. On simplifying, 0.4167, 0.25 and .3333 respectively for concrete, brick and limestone. 6. 8-6x=17+3x As we did contained in the third question, with information from taking the unknown 'x' to at least one side and the figures to the different, ( or with information from including (-3x-8) to each and each and every side ) we get -3x -6x = 17 - 8 ; -9x = 9 ; x = -a million 7. with there being internet 32 out of 60 states can vote on-line. what fraction of states don't have this decision. complete states are 60 and "can vote on-line" and "won't be able to vote on-line" are to be expressed as fraction of 60. subsequently fraction of states who can flow for on-line vote casting contains 32/60 and for those states who won't be able to vote on-line the fraction is ( 60 - 32 ) / 60 = 28/60 ; This contains 0.5333 and nil.4667