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dexar [7]
4 years ago
7

Solve for x. -1/2 x < -12

Mathematics
1 answer:
Vladimir [108]4 years ago
5 0

Answer:

x > 24

Step-by-step explanation:

Solve for x :

-\frac{1}{2}x < -12

-Since -\frac{1}{2} is less than 0, the inequality sign changes, and multiply by the denominator 2 :

(-2) -\frac{1}{2}x  > -12 (-2)

x > 24

So, the answer is x > 24.

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A tricycle company's cost, in thousands of dollars, is represented by the function C(x)=45x+8700 and its revenue, in thousands o
ASHA 777 [7]

Answer:

  Profit = 51300 thousand dollars

Explanation:

 Cost function in thousands of dollars is given by C(x) = 45 x + 8700, where x represent number of tricycles sold.

 Revenue of function R(x) = 75 x

 We have the expression for profit = Revenue - Cost

  Number of tricycles sold = 2000

  Revenue = 75 * 2000 = 150000 thousand dollars

  Cost = 45 * 2000 + 8700 = 98700 thousand dollars

  Profit = 150000 - 98700 = 51300 thousand dollars

4 0
4 years ago
In the past, the average age of employees of a large corporation has been 40 years. Recently, the company has been hiring older
earnstyle [38]

Answer:

Step-by-step explanation:

In the past, mean of age of employees

i.e. \mu = 40

Recently sample was taken

n = sample size = 60

Mean of sample = 45

Std dev of sample s = 16

H_0: \bar x = 40\\H_a: \bar x >40

(Right tailed test)

Since only population std deviation is known we can use t test only

Std error = \frac{s}{\sqrt{n} } \\=\frac{16}{\sqrt{61} } \\=2.049

Mean difference = 45-40 =5

Test statistic t=\frac{5}{2.049} \\=2.441

df = 60

p value =0.008739

Since p < 0.05 we reject null hypothesis

The mean age has increased.

5 0
3 years ago
The legs of a isosceles trapezoid are?
Natalija [7]
The legs of an isosceles trapezoids are supplementary, meaning that they are equal to 180 degrees.
6 0
3 years ago
the larger of two numbers is one more than 5 times the smaller number. If the sum of the numbers is 43, what is the smaller numb
pochemuha
7. The smaller number is 7 because 7x5=35
35+1+7=43
5 0
4 years ago
Evaluate 1/4 c + 3d when c = 6 and d = 7
Naddika [18.5K]

           \rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}

       <em>Evaluate 1/4c+3d when c=6, and d=7.</em>

<em />

<em>         </em>\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}

       Replace c with 6, and d with 7:-

     \Large\text{$\displaystyle\frac{1}{4} (6)+3(7)$}

\bigstar On simplification,

   \Large\text{$\displaystyle\frac{1}{4} \times\frac{6}{1}+21$}

\bigstar On further simplification,

    \Large\text{$\displaystyle\frac{6}{4} +21$}

\bigstar On further simplification,

     \Large\text{$\displaystyle\frac{6}{4}+\frac{84}{4}$}

\bigstar Adding the numerators,

\Large\text{$\displaystyle\frac{90}{4}$}

\bigstar Finally, Reducing the fraction:-

\Large\text{$\displaystyle\frac{45}{2}$}

\Uparrow \mathbb{OUR\:SIMPLIFIED\:EXPRESSION}

<h3>Good luck with your studies.</h3>

         \rule{50}{1}\smile\smile\smile\smile\smile\smile\rule{50}{1}

8 0
2 years ago
Read 2 more answers
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