6. Give examples of methods to safeguard inventory.

The absolute difference between the greatest and the least of these three numbers in the arithmetic sequence is 10.

The sequence is an arithmetic sequence. Therefore,

d = common difference

let

a = centre term

Therefore, the 3 consecutive term will be as follows

a - d,  a, a + d

a - d +  a + a + d = 27

3a = 27

a = 27 / 3

a = 9

Therefore,

(a-d)² + (a)² + (a + d)² = 293

(a²-2ad+d²) + 9² + (a² + 2ad + d²) = 293

(81 - 18d + d²) + 81 + (81 + 18d + d²) = 293

243 + 2d² = 293

2d² = 50

d² = 50 / 2

d = √25

d = 5

common difference = 5

Therefore, the 3 numbers are as follows

9 - 5 , 9, 9 + 5 = 4, 9, 14

The difference between the greatest and the least of these 3 numbers are as follows:

14 - 4 = 10

learn more on Arithmetic progression: https://brainly.com/question/25749583?referrer=searchResults

Answer:

k=100, n=3, 1.5625, 10

Step-by-step explanation:

To find n and k, we can plug x and z in.

First we can try this for (1,100). We will get:

[tex]100=\frac{k}{1^{n} }[/tex]

Since 1 to any power is 1, we can assume that the denominator is 1 and therefore k=100.

Armed with k=100, we can plug numbers into the second equation.

[tex]12.5=\frac{100}{2^{n} }[/tex]

Moving [tex]{2^{n} }[/tex] to the left side, we get:

[tex]2^n=\frac{100}{12.5} }=8[/tex]

therefore we can solve and we see that n=3.

We can do the same for x=4, but since we have n, k, and x, we can plug these in to get z

[tex]z=\frac{100}{4^{3}} =1.5625[/tex]

We will do the same as previous but instead plug in x

[tex]\frac{1}{10}=\frac{100}{x^{3} }[/tex]

We isolate [tex]x^{3}[/tex] and get

[tex]x^{3} =1000[/tex]

Therefore x=10

Answer: 9 shirts I think

Step-by-step explanation: 54/6=9

Answer:

5

Step-by-step explanation:

I don't think I should have to explain this but if it's in between 4.5 and 5 it will be 5 and if it's 4.5-4 it would be 4

Answer:

Step-by-step explanation:

You may find this easier if you distribute the minus sign first.

2a^2 -3ab +5b^2 -a^2 +2ab -3b^2

  = (2 -1)a^2 +(-3+2)ab +(5 -3)b^2

  = a^2 -ab +2b^2 . . . . . matches choice D

__

6x -3 -2x +2

  = (6 -2)x +(-3 +2)

  = 4x -1 . . . . . matches choice B

Answer:

  B)  (4x-5i)(4x+5i)

Step-by-step explanation:

The expression can be treated as the difference of squares, and factored accordingly. That factoring is ...

  a² -b² = (a -b)(a +b)

__

Here, we have ...

  a² -b² = 16x² -(-25)

  a² = 16x²   ⇒   a = 4x

  b² = -25   ⇒   b = √-25 = 5i

Then the factoring is ...

  (a -b)(a +b) = (4x -5i)(4x +5i)

Answer:

Answer:

 B)  (4x-5i)(4x+5i)

Step-by-step explanation:

The expression can be treated as the difference of squares, and factored accordingly. That factoring is ...

 a² -b² = (a -b)(a +b)

__

Here, we have ...

 a² -b² = 16x² -(-25)

 a² = 16x²   ⇒   a = 4x

 b² = -25   ⇒   b = √-25 = 5i

Then the factoring is ...

 (a -b)(a +b) = (4x -5i)(4x +5i)

Step-by-step explanation:

Answer:

1. 7 to the square root of 3

2. negative square root of 3

Step-by-step explanation:

1. simplify 0.7 x 10 square of 3

2. Calculate: you get 7 to the square root of 3

1. simplify -0.125 x 8 to the square root of 3

2. Calcaute: you get negative square root of 3

The factors of the expression 0.7√300 and -0.125√192 will be 7 x √3 and - 1 x √3, respectively.

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expressions are given below.

0.7√300 and -0.125√192

Simplify the expressions, then we have

0.7√300 and -0.125√192

7√3 and - √3

Factorize the expression, then we have

7 x √3 and - 1 x √3

More about the factorization link is given below.

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Answer:

cool and cool and cool and cool

Answer:

C or the third option.

Step-by-step explanation:

The equation is y = 4x - 4

Hope this helps! Pls give brainliest!

Answer:

24 bags = 21 kg

1.142 bag = 1 kg

About 139 bags = 122 kg

You start off with 24 bags that equal the same amount as 21 kg. You need to find out how many bags of sugar equal the same amount as 122 kg. The first line is a ratio and to find your answer you need to figure out what is 1 kilogram equal to in the amount of bags. You divide both sides by 21 leaving 1.142 bag equal to 1 kilogram. In order to find 122 kilograms, you have to multiply both sides by 122 kilograms which would give you about 139 bags = 122 kilograms.  

Your final answer: 139 bags

I hope this helped!

Answer: 40 mg

Unitary method:

For 3kg --> 8mg

For 1kg --> 8/3 mg

For 15kg--> (8/3) * 15

              --> 40 mg

The number of milligrams of the fever reducer the pediatrician will prescribe is 40 mg.

Given that, for every 3 kg of a child's weight, pediatricians prescribe 8 mg of fever reducer.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Here, for 1 kg of child's weight pediatricians prescribe [tex]\frac{8}{3}[/tex] mg of fever reducer.

If Nidhi weighs 15 kg, then the fever reducer = [tex]\frac{8}{3}\times15[/tex]

[tex]=8\times5[/tex]

[tex]=40[/tex] mg

Therefore, the number of milligrams of the fever reducer the pediatrician will prescribe is 40 mg.

To learn more about the unitary method visit:

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[tex]\huge \bf •Answer •\\ [/tex]

1188 g

[tex]\huge \bf •Solution •\\ [/tex]

We know,

[tex]\sf \dfrac{mass \: \: of \: \: solute}{mass \: \: of \: \: solution} \times 100= concentration \: \: of \: \: solution \\ = > \sf \dfrac{mass \: \: of \: \: solute}{mass \: \: of \: \: solute + mass \: \: of \: \: solvent} \times 100= concentration \: \: of \: \: solution[/tex]

Given, concentration of solution = 1%

Mass of sugar (solute) = 12 g

Let the mass of water (solvent) be x.

Therefore,

[tex]\sf \dfrac{12g}{12g + x} \times 100= 1 \\ \sf = > 1200g= 12g + x \\ \sf= > (1200 - 12)g = x \\ \sf = > x = 1188g[/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

k

Step-by-step explanation:

Answer:

1.25 to 1

Step-by-step explanation:

5/4 = 1.25 4/4 = 1 So the ratio is 1.25 to 1

Answer:

y=-2/5x+21/5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(3-5)/(3-(-2))

m=-2/(3+2)

m=-2/5

y-y1=m(x-x1)

y-5=-2/5(x-(-2))

y-5=-2/5(x+2)

y=-2/5x-4/5+5

y=-2/5x-4/5+25/5

y=-2/5x+21/5

Answer:

30

Step-by-step explanation:

Answer:

16 to 52

Step-by-step explanation:

Rewrite the innermost expressions with negative exponents:

[tex]\displaystyle \left[\left(\frac{a^6}{5b^{-1}}\right)^2 \cdot \left(\frac{b}{9a^{-11}}\right)^{-1}\right]^{-3}[/tex]

[tex]\displaystyle \implies \left[\left(\frac{a^6b^1}{5}\right)^2 \cdot \left(\frac{ba^{11}}{9}\right)^{-1}\right]^{-3}[/tex]

[tex]\displaystyle \implies \left[\left(\frac{a^6b^1}{5}\right)^2 \cdot \left(\frac9{ba^{11}}\right)^1\right]^{-3}[/tex]

Simplify the product:

[tex]\displaystyle \implies \left[\left(\frac{a^6b}{5}\right)^2 \cdot \frac9{ba^{11}}\right]^{-3}[/tex]

[tex]\displaystyle \implies \left[\frac{\left(a^6b\right)^2}{5^2} \cdot \frac9{ba^{11}}\right]^{-3}[/tex]

[tex]\displaystyle \implies \left[\frac{\left(a^6\right)^2b^2}{25} \cdot \frac9{ba^{11}}\right]^{-3}[/tex]

[tex]\displaystyle \implies \left[\frac{a^{12}b^2}{25} \cdot \frac9{ba^{11}}\right]^{-3}[/tex]

[tex]\displaystyle \implies \left[\frac{9ab}{25}\right]^{-3}[/tex]

Rewrite the last negative exponent:

[tex]\implies \boxed{\left(\frac{25}{9ab}\right)^3}[/tex]

Answer:

116°

Step-by-step explanation:

together both angles equal 180 because they are on a straight line and are opposite of each other.

180 - 64 = 116

I hope this helps!!

Answer:

22. 30

23. 20

25. Thirty to twenty, or 30:20

Step-by-step explanation:

22.6*5

23.4*5

Answer:

He needs 8 health packs

Step-by-step explanation:

3x + 5 [tex]\geq[/tex] 29

3x [tex]\geq[/tex] 24

x [tex]\geq[/tex] 8

Answer:

21*4 = 84.

Step-by-step explanation:

Multiply 2 by 4 to get 8.

Multiply 1 by 4 to get 4.

Move the 8 into the tens place and move the 4 into the ones place.

Answer:

Proper Fractions.

Step-by-step explanation:

These are Proper Fractions because the numerator (1 and 5) is lower than the denominator (5 and 10).

Answer:

1/6

Step-by-step explanation:

6 sides. 1 face with number 1. 1/6

This would become 3(7) because of x = 7 in the original equation of 3x and the answer would be 21.

Answer:

3(7)= 21

Step-by-step explanation:

3 x

This means you are multiplying.

x = 7

3(7)= 21

Answer:

Step-by-step explanation:

91 : 14 = q : 6

q = 91 * 6 : 14

q = 39

----------------------

check

91 : 14 = 39 : 6

6.5 = 6.5

the answer is good

Answer:

Step-by-step explanation:

y = mx + b

slope m is found as the change in y over the change in x

as y decreases 3 units for a 3 unit increase in x, the slope is -3/3 = -1

The y intercept b is where the plot crosses the y axis, 4 units above the x axis

y = -1x + 4

or

y = 4 - x

If Selena ran x miles and manny ran y miles, who ran more miles

x=any number

y=any number smaller than x