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Lana71 [14]
4 years ago
6

12x+7<-11 or 5x-8>40

Mathematics
1 answer:
puteri [66]4 years ago
7 0

Answer:

\large\boxed{x9\dfrac{3}{5}\to x\in\left(-\infty,\ -1\dfrac{1}{2}\right)\ \cup\ \left(9\dfrac{3}{5},\ \infty\right)}

Step-by-step explanation:

12x+7

5x-8>40\qquad\text{add 8 to both sides}\\\\5x-8+8>40+8\\\\5x>48\qquad\text{divide both sides by 5}\\\\\dfrac{5x}{5}>\dfrac{48}{5}\\\\x>\dfrac{48}{5}\\\\x>9\dfrac{3}{5}\\===========================

x9\dfrac{3}{5}

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A total of 363 were sold for the school play. They were either adult tickets or student tickets. The number of student tickets s
timurjin [86]

Answer:

The number of adult tickets sold was 121

Step-by-step explanation:

The general equation is: <em>S</em> + <em>A</em> = <em>T</em>    ;where <em>S</em> means student tickets, <em>A</em> means adult tickets and <em>T</em> means total tickets. We know that <em>S</em> is two times <em>A</em> and <em>T</em> is 363. So, <em>S</em> will be 2x and A will be x. Then, the new equation is 2x + x = 363.

<em>S</em> + <em>A</em> = <em>T</em>  

2x + x = 363  

3x = 363  

x = 363 / 3

x = 121

Adult tickets: <em>A</em> = x = 121

Student tickets: <em>S</em> = 2x = 2 * 121 = 242

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3 years ago
How do I do double transformations
Jet001 [13]

Answer:

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Step-by-step explanation:

7 0
3 years ago
Find the value of Q in the system so that the solution to the system is
11Alexandr11 [23.1K]
 x -3y = 4  multiplie both sides by -2 => -2x +6y = -8 
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-2x +6y = -8
 2x +Qy = 8
------------------ assume the same terms 
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6y +Qy = 0 

Qy = -6y  divide both sides by y and will get 

Q = -6
 
8 0
4 years ago
What is -7 (3a-1)=91 what does a equal
Nastasia [14]

Answer:

a = -4

Step-by-step explanation:

Solve for a:

-7 (3 a - 1) = 91

Divide both sides of -7 (3 a - 1) = 91 by -7:

(-7 (3 a - 1))/(-7) = 91/(-7)

(-7)/(-7) = 1:

3 a - 1 = 91/(-7)

The gcd of 91 and -7 is 7, so 91/(-7) = (7×13)/(7 (-1)) = 7/7×13/(-1) = 13/(-1):

3 a - 1 = 13/(-1)

Multiply numerator and denominator of 13/(-1) by -1:

3 a - 1 = -13

Add 1 to both sides:

3 a + (1 - 1) = 1 - 13

1 - 1 = 0:

3 a = 1 - 13

1 - 13 = -12:

3 a = -12

Divide both sides of 3 a = -12 by 3:

(3 a)/3 = (-12)/3

3/3 = 1:

a = (-12)/3

The gcd of -12 and 3 is 3, so (-12)/3 = (3 (-4))/(3×1) = 3/3×-4 = -4:

Answer: a = -4

6 0
4 years ago
Read 2 more answers
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kenny6666 [7]
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