a recent survey determined the iq score of a random selection of residents identify the class midpoints

[tex] \frac{3 + x}{3} = \frac{x}{2} [/tex]

[tex] \frac{3}{3} + \frac{x}{3} = \frac{x}{2} [/tex]

[tex]1 + \frac{x}{3} = \frac{x}{2} [/tex]

[tex]1 = \frac{x}{2} - \frac{x}{3} [/tex]

[tex]1 = \frac{3x}{6} - \frac{2x}{6} [/tex]

[tex]1 = \frac{x}{6} [/tex]

[tex]1 \times 6 = x[/tex]

[tex]6 = x[/tex]

The height of the room will be 4 meters

In the question, It is given that a room's four walls have to be covered by a 3-D paper of 3m² and 41 such papers are required for this. Also, we have been given that the room has 4 Windows of dimensions 2m * 1.75m each and 2 Doors of dimension 1m * 3.5m.

It is also stated that the tiling of the floor is done by tiles of dimension 2m * 1.5m each and 24 tiles are used for tiling.

Given that length is twice as breadth, Breadth b = x, and Length l = 2x

We know the Area of the rectangle: length * breadth

Area of tiles = 2 * 1.5 = 3m²

Area of 4 Windows = 2 * 1.75 *4 = 14m²

Area of 2 Doors = 2 * 1 * 3.5 = 7m²

On floor 24 tiles are used. So to calculate it we have : [tex]\frac{l*b}{3} = 24[/tex]

          =>  [tex]2x^{2} = 72[/tex]   => x = 6

We get x = 6. Now, Breadth = 6meters, and Length = 12meters

For covering Four walls of the room with sheets, We will find out the Curved Surface Area of the room:  2h(l+b), where h is the height of the room. We also have to exclude the area of Four Windows and Two Doors for sheets. And a total of 41 pieces of sheets are required to cover it with an area of 3m² each. So, the formula will be, [tex]\frac{2h(l+b)-14-7}{3} = 41[/tex]

          => [tex]\frac{2h(18) - 14 - 7}{3} = 41[/tex]    =>  36h = 144

         =>  h = 4 metres

Hence, the height of the room will be 4 meters.

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Answer:

28.26ft

Step-by-step explanation:

A=πr^2

π*3^2=28.27433

28.26

It is wrong. Because Verania has a comparative advantage in washing dishes, she should wash dishes, and Josimar should vacuum.

Having an absolute advantage in both things does not mean that Verania has a Comparative advantage in both as well.

They should find out which activity they both have a comparative advantage in and focus on that. The activity that costs the least opportunity cost is the one they have a comparative advantage.

Verania

Opportunity cost of vacuuming = 2 / 1 = 2 hours of washing dishes

Opportunity cost of washing = 1/2 = 0.5 hours of vacuuming

Josimar

The opportunity cost of vacuuming = 3/2 = 1.5 hours of washing dishes

Opportunity cost of washing = 2/3 = 0.66 hours of vacuuming

Verania has a comparative advantage in washing dishes while Josimar has a comparative advantage in vacuuming.

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Answer:

x ≈ 14.7

Step-by-step explanation:

use pythagorean therorem

a^2 + b^2 = c^2

c is hypotenuse and we know the hypotenuse is 21

a^2 + b^2 = c^2

x^2 + 15^2 = 21^2

x^2 + 225 = 441

x^2 = 216

x = √216

x ≈ 14.7

Answer: y = 1/2x + 1

(4,2)

4=x1

2=y1

y = mx + b

2 = 1/2(4) + b

2 = 2 + b

b = 1

y = 1/2x + 1

The resulting product of the expression is 12.017

Fractions are written as a ratio of two integers

Given the following expression

-2 1/3 x -5.15

Convert to improper fraction to have:

-7/3 * -515/100

3605/300

12.017

Hence the resulting product of the expression is 12.017

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Answer:

x=3 y=6

Step-by-step explanation:

using elimination

Answer:

Develop the concept of flat and solid shapes with your students. This unit has 12 shape activities that include whole group, small group and differentiated math ...

Step-by-step explanation:

Answer:

the answer would be the third option. its the only thing that has 3 terms

Step-by-step explanation:

3+x+9

Answer:

3+x+9 is the sum of three terms

Answer:

12 red shirts

8 green shirts

4 blue shirts

Step-by-step explanation:

1/2 of the 24 people are wearing red shirts

Of means multiplication, so...

1/2 * 24 = 24/2 = 12, and do the same for the rest!

Answer:1/2 of 24= 24/2=12

             1/3 of 24= 24/3=8

             12+8=20

             24-20=4

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

1/5 * 35 = 7

7*3 = 21

Answer:

( 4 x 8) x (2 x 5)

32 x 10

320

Answer:

2cm

Step-by-step explanation:

because?

Answer:

b = 12

Step-by-step explanation:

subtract eight from both sides to leave the b variable on the left

b/2 = 14 - 8

b/2 = 6

multiply by 2 on both sides to leave b by itself

b = 6 * 2

b = 12

Answer:

12

Step-by-step explanation:

8 + b/2 = 14

b/2 = 14 -8

      = 6

b = 6 x 2

  = 12

Therefore b is 12. Hope this helps you and pls mark me as brainliest <3

Answer:

1 is greater than x

Step-by-step explanation:

4x < 0

x<0-4

x< -4

x={ -5,-6,-7,-8,-9,-10,.............}

so {-5,-6,-7,-8,-9,-10,-.............} are lesser than 1

hence 1 >x 0r 1 is greater than x

Answer: The answer is 6x–9, please mark me as brainliest and have a wonderful weekend. :D

Step-by-step explanation:

Answer

14 degrees

Step-by-step explanation:

solution

5y+7y+6= 12y+6

= 2(6y+3)

Answer:

2(6y + 3)

Step-by-step explanation:

for the equation to have infinitely many solutions, then both sides must be equal.

consider left side

5y + 6 + 7y ← collect like terms

= 12y + 6 ← factor out 2 from each term )

= 2(6y + 3)

then

5y + 6 + 7y = 2(6y + 3) ← has infinitely many solutions

Answer:

answer

8-10=3y

-2=3y

y= -2÷3

Step-by-step explanation:

hope it is helpful to you

The percent of the time that Haddad will save by paying the extra $30.000 per month is d) 59%.

A percentage is a unit in 100, a part of a whole, or a ratio of one variable to the bigger variable.

Percentages show the quantity or value of the independent variable that is contained in a dependent variable.

Data and Calculations:

Total months to pay off a debt = 58 months

The additional amount required to reduce the payment period to 24 months = $30 per month

The savings in time = 59% (58 -24/58 x 100).

Thus, the percent of the time that Haddad will save by paying the extra $30.000 per month is d) 59%.

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Answer:

(- 5, - 3 )

Step-by-step explanation:

Given the 2 equations

- 3x + 10y = - 15 → (1)

5x - 7y = - 4 → (2)

Multiplying (1) by 5 and (2) by 3 and adding the result, eliminates the x- term.

- 15x + 50y = - 75 → (3)

15x - 21y = - 12 → (4)

Add (3) and (4) term by term to eliminate x, that is

29y = - 87 ( divide both sides by 29 )

y = - 3

Substitute y = - 3 into either of the 2 equations and solve for x

Substituting into (1)

- 3x + 10(- 3) = - 15

- 3x - 30 = - 15 ( add 30 to both sides )

- 3x = 15 ( divide both sides by - 3 )

x = - 5

solution is (- 5, - 3 )

Answer:

when the data is skewed

Answer:

1222222222

Step-by-step explanation:

Answer:

D.)

Step-by-step explanation:

Answer:

DDDDDDDDD

Step-by-step explanation:

Answer:

5/3

Step-by-step explanation:

Between the two points, the line goes up 5 points and to the right 3 points. The slope is rise over run, so in this case the rise is 5 and the run is 3.

This makes our slope:

5/3

Every 3rd term that occurs after the first term in the second pattern (that is, the 4th term, 7th term, 10th term, 13th term, 16th term, etc.), all represent the terms of the first pattern.

Both Patterns start at 0

Pattern 1 follows the rule, add 9.

Pattern 1 has terms, 0, 9, 18, 27, 36, 45, 54, 63, 72, 81....

Pattern 2 follows the rule, add 3.

Pattern 2 has terms, 0, 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54...

It is evident that all of the terms of the first pattern will eventually occur in the second pattern at some regular points.

They both have the same first terms.

Both Patterns have terms that are all multiples of 3.

Every 3rd term that occurs after the first term in the second pattern (that is, the 4th term, 7th term, 10th term, 13th term, 16th term, etc.), all represent the terms of the first pattern.

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Answer:

The answer is $8.64

You'll multiply 8% by $8 and you'll get 0.64 you'll add that to the total and get the answer