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marusya05 [52]
2 years ago
14

Sole the equation for X

Mathematics
2 answers:
-BARSIC- [3]2 years ago
8 0

Answer:

Let's solve your equation step-by-step.

−2x=

1

3

Step 1: Divide both sides by -2.

−2x

−2

=

1

3

−2

x=

−1

6

Step-by-step explanation:

musickatia [10]2 years ago
7 0

Answer:

-1/6

Step-by-step explanation:

-2x÷(-2)=1/3÷(-2)

x=1/3÷(-2)

x= 1/3*1/2

x=-1/6

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Triple a number, x, increased by 1 is between -20 and 10. What are the solutions for x?
Bumek [7]
Hello,
-20 \leq 3x+1 \leq 10\\
\Rightarrow\ -21 \leq 3x \leq 9\\
\Rightarrow\ -7 \leq x \leq 3\\

Sol=[-7\ 3]\ if\ x\ is\ a\ real.


3 0
2 years ago
A printer has a contract to print 100,000 posters for a political candidate. He can run the posters by using any number of plate
yulyashka [42]

Answer:

25

Step-by-step explanation:

From the given information;

Numbers of posters that can be printed in an hour = no of impression/hour × no of plate utilized in each impression.

= 1000x

Thus, the required number of hours it will take can be computed as:

\implies \dfrac{100000}{1000x} \\ \\ =\dfrac{100}{x}

cost per hour = 125

If each plate costs $20 to make, then the total number of plate will equal to 40x

∴

The total cost can be computed as:

C(x) = (\dfrac{100}{x}) \times 125 + 20 x --- (1)

C'(x) = (-\dfrac{12500}{x^2})  + 20  --- (2)

At C'(x) = 0

\dfrac{12500}{x^2} = 20

\dfrac{12500}{20} = x^2

x^2= 625

x = \sqrt{625}

x = 25

C'' (x) = -12500 \times \dfrac{-2}{x^3} +0

C'' (x) = \dfrac{25000}{x^3}

where; x = 25

C'' (x) = \dfrac{25000}{25^3}

C''(x) = 1.6

Thus, at x = 25, C'' > 0

As such, to minimize the cost, the printer needs to make 25 metal plates.

4 0
3 years ago
Sue deposited $52 into her bank account, so she currently has $12 in her account. What was her balance before the deposit?
Semenov [28]

Answer:

-40

Step-by-step explanation:

12 - 52 = -40

hope this helps...

7 0
3 years ago
Read 2 more answers
Jessica's shoebox is 20 centimeters long and 10 centimeters wide. How many more milliliters is the length of the shoebox then th
grin007 [14]
Well, the length of the shoe box is 20 centimeters and the width is 10. So, 20-10=10 centimeters and sense there's 10 millimeters in a centimeter, you take 10x10= 100 millimeters longer.
4 0
3 years ago
Read 2 more answers
A sample of blood pressure measurements is taken for a group of​adults, and those values​ (mm Hg) are listed below. The values a
scoundrel [369]

Answer:

1. coefficient of variation(systolic) = 13.88%

2. coefficient of variation(diastolic)  = 16.2%

3. The coefficients of variation for each data set are within 5 percentage points of each other Therefore  the systolic measurements vary signifcantly less than the diastolic

Step-by-step explanation:

1.  Mean of systolic = ( 117+126+158+96+157+122+116+134+127+122)÷10

      = 127.5

Standard Deviation of systolic = (((117-127.5)^2 +(126-127.5)^2+(158-127.5)^2+ (96-127.5)^2 + (157-127.5)^2 + (122-127.5)^2 + (116-127.5)^2 +(134-127.5)^2 +(127-127.5)^2 +( 122-127.5)^2) ÷ 10)^(0.5)

 SD = 17.7

coefficient of variation(systolic)

= Standard Deviation of systolic /mean of systolic

= \frac{17.7}{127.5} * 100

coefficient of variation(systolic) = 13.88%

2. Mean of diastolic = ( 80+77+76+51+90+89+60+64+72+83) ÷ 10

   = 74.2

Standard Deviation of diastolic  = (((80-74.2)^2 +(77-74.2)^2+(76-74.2)^2+ (51-74.2)^2 + (90-74.2)^2 + (89-74.2)^2 + (60-74.2)^2 +(64-74.2)^2 +(72-74.2)^2 +(83-74.2)^2) ÷ 10)^(0.5)

 SD = 12

coefficient of variation(diastolic)

= Standard Deviation of diastolic /mean of diastolic

 = \frac{12}{74.2} *100

coefficient of variation(diastolic)  = 16.2%

3. The coefficients of variation for each data set are within 5 percentage points of each other Therefore  the systolic measurements vary signifcantly less than the diastolic

8 0
2 years ago
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