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s2008m [1.1K]
3 years ago
12

Solve this inequality. 8x + 6 less than or equel to 54

Mathematics
1 answer:
Step2247 [10]3 years ago
6 0

Answer:

x\le 6

Step-by-step explanation:

We need to solve the given inequality 8x+6\le 54 ....(1)

Subtract 6 on both sides of the equation as :

8x+6-6\le 54-6\\\\8x\le 48

Dividing both sides of the equation by 8 such that,

x\le 6

So, the value of x is less than equal to 6. Hence, this is the required solution.

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Each year, roughly 10^6 computer programmers each make about $ 10^5.
Xelga [282]

Answer:

100,000,000,000

Step-by-step explanation:

1 000 000 times 100 000 = 100,000,000,000

5 0
3 years ago
The sum of four consecutive integers is 48. What is the smallest of four integers?<br><br> Plz hurry
damaskus [11]

Answer:

the sum of four consecutive, odd whole numbers is 48

Step-by-step explanation:

8 0
3 years ago
PERÍMETRO: Encuentra las dimensiones de un rectángulo con perímetro igual a 563 pulgadas, si su largo es 6 pulgadas menos que 4
Orlov [11]

Answer: 4x - 6 = 563

Suma 6 a ambos lados para aislar la variante 4x.

4x - 6 = 563

+6. +6

4x = 569

Divide ambos lados por 4

4x/4 = 569/4

X = 142.5

Step-by-step explanation:

4 0
3 years ago
The national mean sales price for a new one-family home is $181,900. A sample of 40 one-family homes in the south showed a sampl
SIZIF [17.4K]

Answer:

a

The  null hypothesis is  \mu  =  \$181,900

The alternative hypothesis is  \mu <  \$ 181.900

b

t = -2.92

c

p-value  =  0.0016948

d

There no sufficient evidence to support the conclusion that the population mean sales prices for new one-family homes in the South is less expensive than the national mean of $181,900

Step-by-step explanation:

From the question we are told that

   The  population mean is  \mu  =  \$ 181, 900

    The  sample size is  n =  40

    The  sample  mean is  \=  x  =  \$ 166,400

      The  sample  standard deviation is s= \$ 33, 500

The  null hypothesis is  \mu  =  \$181,900

The alternative hypothesis is  \mu <  \$ 181.900

 

Generally the test statistics is mathematically represented as

      t =  \frac{ \= x  -  \mu }{ \frac{s}{\sqrt{n} } }

=>    t =  \frac{  166400  - 181900 }{ \frac{33500}{\sqrt{40} } }

=>    t = -2.92

Generally the p-value is obtain from the z-table  the value is  

      p-value  =  P(Z < t ) = P(Z  <  -2.93) = 0.0016948

=>    p-value  =  0.0016948

From the calculation we see that  

     p-value  >  \alpha  hence we fail to reject the null hypothesis

Thus there no sufficient evidence to support the conclusion that the population mean sales prices for new one-family homes in the South is less expensive than the national mean of $181,900

3 0
3 years ago
Simplify this question
vladimir1956 [14]

\frac{8 -  \sqrt{ - 36} }{2}  \\  =  \frac{8 -  \sqrt{ 2 \times \: 2 \times  3  \times  - 3} }{2}  \\  =  \frac{8 -2 \sqrt{ - 9}  }{2}  \\  =  \frac{2(4 -  \sqrt{ - 9} )}{2}  \\  = 4 -  \sqrt{ - 9}

Hope you could get an idea from here.

Doubt clarification - use comment section.

8 0
2 years ago
Read 2 more answers
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