The sum of three whole numbers is 27. The mean of the three whole numbers is 9, and the greatest number is twice the least number.
What is the greatest number?

Answers

Answer 1

9514 1404 393

Answer:

  12

Step-by-step explanation:

Let x be the smallest number, and y be the middle number. Then the largest number is 2x and the sum is ...

  x + y + 2x = 27   ⇒   y = 27 -3x

The requirement that the middle number is y gives rise to the inequality ...

  x < y < 2x

Substituting for y, we have ...

  x < 27 -3x < 2x

Adding 3x gives us ...

  4x < 27 < 5x

These two inequalities give us the requirement that ...

  27/5 < x < 27/4

  5.4 < x < 6.75

The only whole number in that range is x = 6. So, the greatest number is 2×6 = 12.

The greatest number is 12.


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[1 6 9 3]
[2 5 8 1]
[0 2 2 4]
what are the dimensions of the matrix

Answers

Answer:

4 by 3

Explanation:

Rows by columns

hi guys what is and can u please do the method 4050 divided by 100

Answers

Answer:

40.5

Step-by-step explanation:

what i do is I divided first by 10. because 100 is 10x10.

so 4050 divided by 10 is 405.

405 divided by 10 is 40.5

4050 divided by 100 = 40.5

Can anyone please help me with this question?

Answers

Answer:

d

Step-by-step explanation:

Need help with finding the mean (MATH 7th GRADE)

Answers

Answer:

mean = 49.25

Step-by-step explanation:

mean = sum of all the number ÷ amount of number

mean = 56 + 21 +55 + 30 + 34+ 76 + 40 + 82 = 394 ÷ 8

mean = 49.25

mean absolute deviation = (56- 49.25) + (21 - 49.25) + (55 -49.25) + (30 - 49.25) + (34 -49.25) + (76 -49.25) + (40 - 49.25) + (82- 49.25) / 8

mad= 6.75 + -28.25 + 5.75 + -19.25 + -15.25 + 26.75 + -9.25 + 32.75 / 8

mad = 0/8

mad= 0

brainliest is appreciated

HELP PLEASE QUICK!!!!!

Answers

Answer:in what can I help

Step-by-step explanation:

Use the shell method to compute the volume (CALCULUS HELP!!!)

Answers

Use the shell method. The volume is

V = 2π ∫₅⁸ (x - 5) x ² dx

V = 2π ∫₅⁸ (x ³ - 5x ²) dx

V = 2π (1/4 x ⁴ - 5/3 x ³) |₅⁸

V = π/6 (3x ⁴ - 20x ³) |₅⁸

V = π/6 ((3 × 8⁴ - 20 × 8³) - (3 × 5⁴ - 20 × 5³))

V = 891π/2

two numbers add up to 144. one number is half the square of the other number. what are the numbers










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Answer:

36 plus 36 plus 72 = 144 or 72 + 72= 144

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Answer:

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Which point is located in Quadrant ll? (-4,5) (-4,-5) (4,-5) (4,5)​

Answers

Answer:

(-4,5)

Step-by-step explanation:

that is the top left quadrant which means the x value has to be negative but the y value has to be positive

may someone please help? thank you!

Answers

Answer:

[tex]6\sqrt2\\OR\\8.48528137[/tex]

Step-by-step explanation:

The area of a sector of a circle is found by:

[tex]A = \frac{\theta*r^2}{2}[/tex]

The question asks for the radius so the equation above can be repurposed

[tex]r = \sqrt\frac{2A}{\theta}[/tex]

A = 3pi

angle = pi/12

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[tex]\sqrt{72} = 6\sqrt2 = 8.48528137[/tex]

Given tan theta = -2 and pi/2 < theta < pi; find cos2theta.
a. - 4/3
b.- 4/5
c. 3/4
d. - 3/5

PLEASE HELP ASAP

Answers

Answer:

Cos 2theta = -3/5

Step-by-step explanation:

Given that;

tan theta = -2

tan theta = -2/1 = opp/adj

hyp^2 = (-2)^2+1^2

hyp = √4+1

hyp = √5

sin theta = opp/hyp

sin theta = -2/√5

Cos theta = adj/hyp

Cos theta = -2/√5

Cos 2theta = 1-2sin^2 theta

Cos 2theta = 1- 2(-2/√5)^2

Cos 2theta = 1- 2(4/5)

Cos 2theta = 1- 8/5

Cos 2theta = (5-8)/5

Cos 2theta = -3/5

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Answers

answer is D
first you change all the denominator to the same 1/8x2 = 2/16 and 5/16 no need to change and 3/8x2 = 6/16 . And then you add them all together and it will be the answer of D ( you don’t need to add the denominator)

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Answers

Answer:

The two triangles are very similar by them both having the same kind of angles even though they are different in size, like, an acute angle.

I'm not sure if this helped or not hopefully it did good luck.

May you solve this for me?

Answers

Answer: 23.94 cm

Step-by-step explanation: I am totally not sure if this is the answer, but think of it this way: Those are 2 semi circles. The formula for the area of a semi circle is A = π * r^2 / 2. For the semi circle with 6 cm, the radius is 3. So we can plug it in the formula. 3.14 * 3^2 / 2, which is 14.13. For the semi circle with 5 cm, the radius is 2.5. Again plug it in and it will be 3.14 * 2.5^2 / 2, which is 9.8125. Then, to get the total area, add the 2 final values together. 9.8125 + 14.13, which is 23.9425. Then it said "round to the nearest hundredth if necessary. We can round to the nearest hundredth, which is 23.94, so that would be the answer. That is just my thought process.

I am not really sure if it's the answer, but take a gander at my thought process and hopefully, you can agree with me.

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Answers

Answer:the width is 3 feet

Step-by-step explanation:


Find lateral surface
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Answers

Answer:

224 in.²

Step-by-step explanation:

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Answers

Answer:

a)  0 , 1

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Step-by-step explanation:

X = 0.2

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a) All the possible values of  X + Y

The possible values of X + Y  are ; 0,1

b) The probabilities that X + Y takes each of the values

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Answers

Answer:

y  ≤  5

Step-by-step explanation:

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Answers

Answer:

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1
2
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Simplify your answer and write it as a proper fraction, mixed number, or whole number

Answers

Answer:

4 gallons/1 day

Step-by-step explanation:

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Answers

Answer:

The correct answer is:

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Step-by-step explanation:

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= $35

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(b)

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eyjdnfbhs

Step-by-step explanation:

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Answers

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Step-by-step explanation:

Answer:

531

Step-by-step explanation:

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Answers

9514 1404 393

Answer:

  (a)  f(x) = √x -2

Step-by-step explanation:

The square root function has no horizontal shift, so the expression under the radical is simply x with no added terms. There is only one such answer choice, which also shows the necessary translation downward by an added negative constant.

  [tex]f(x)=\sqrt{x}-2[/tex]

Answer:

the answer is A.

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

5. 8 x 3=24

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Answers

9514 1404 393

Answer:

  not on the same line

Step-by-step explanation:

Any two distinct points define a line. Additional points may or may not be on that line. If they are on the line, they are collinear with other points on the same line.

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Answers

Answer:

x² + 4x

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

To prove that triangle ABC and triangle DEF are triangles with equal defects and a pair of congruent sides :

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AB = summit of ABB'A' and DE = summit of DEE'D'  also  AB ≅ DE

According to theorem 7.5

Π ABB'A' ≅ Π DEE'D'  

therefore by transitivity of equivalence  it is proven that triangle ABC and triangle DEF are triangles with equal defects and a pair of congruent sides

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Answers

Answer:

217=31m; m=7, 7 miles per day

Step-by-step explanation:

217/31=m 217=31m, just divide the total number of miles by the number of days

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