What is the value of x if the side length of Terrarium A is four times the side length of Terrarium B?

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

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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:

B  {1,2,4}

Step-by-step explanation:

I took the test

i don't know hindi ko po alam

a and b

alam ko

Answer:

67 hamburgers

Step-by-step explanation:

In order to find the answer to this question, you must do the following equation:

44÷2/3. The answer to this is 66.

Then, you add 1 to 66, because 2/3 divided by 2/3 = 1!

So, the cook can make 67 hamburgers.

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:

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

Answer:

Step-by-step explanation:

x² - 16x + 39 = ( x - 3 )( x - 13 )

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

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

x=any number

y=any number smaller than x

Answer: 9 shirts I think

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

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!

[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:

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:

Step-by-step explanation:

divide the money or degrees by the hours or form of time they give. for the first one you divide 585/52 to get $11.25 an hour.

Answer:

The answer is >

Step-by-step explanation:

11/2 as a percentage is equal to 550% which is greater than (>) 55%

Answer:

30

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

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

Answer:

C or the third option.

Step-by-step explanation:

The equation is y = 4x - 4

Hope this helps! Pls give brainliest!

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:

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:

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

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:

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:

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: 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.

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Answer:

cool and cool and cool and cool