1. 4(x + 8) -4 = 34 - 2x

Answer:

d is the correct answer to your question

Answer:

3√3

Step-by-step explanation:

√3 +√12

we can write 12 as 3 X 4

√3 + √(3+4)

√3 + √3 √4

√4 = 2

√3 + 2√3

= 3√3

Using the weighted mean, it is found that the office should be located 13.85 miles from Bellevue.

The weighted mean is given by the sum of all elements in a data-set multiplied by it's weight, divided by the sum of the weights.

For this problem, the observations are given as follows:

These observations are the positions of the cities, considering that they are 60 miles apart, and their weights as given in the problem.

The weighted mean between these positions is found as follows:

M = (0 x 5 + 60 x 3)/(5 + 8) = 13.85.

The meaning of the weighted mean is that:

The office should be located 13.85 miles from Bellevue.

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1:5:1 or 3:2 is the proportional relationship.

In mathematics, two sequences of numbers, often experimental data, are proportional or directly proportional if their corresponding elements have a constant ratio, which is called the coefficient of proportionality or proportionality constant. Two sequences are inversely proportional if corresponding elements have a constant product, also called the coefficient of proportionality.

Given Data

If considering that a month has 4 weeks approx, then Laura's hair grows( 0.25 inches×4)= 1 inch in a month.

Whereas the horse's mane grows 1.5 inches in a month.

Thus the proportional relation or ratio between growth of Horse's mane and Laura's hair for the same amount of time period is 1.5:1 or 3:2

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The average speed in meters per second is 10.4 m/s.

Average speed is the total distance travelled per time. Average speed can be determined by dividing total distance by

Average speed = total distance / total time

The first step is to convert kilometer to meter: 1000 meter = 1 kilometer

The second step is to convert hours to seconds:

1 hour = 60 minutes

1 minute = 60 seconds

1 hour = 60 x 60 seconds

1 hour = 3,600 seconds

Multiply the average speed by 1000 meters and divide by 3,600 seconds.

37.6 x (1,000 / 3,600)  = 10.44 m / s

10.4 m/s (1 d.p)

In order to round off to one decimal place, if the hundredth figure is less than 5, there is no change in the tenth digit. Digits that are less than the tenth digit are removed.

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The slope of the equation - 3 x+ 8 y = 12 is 0.375.

We are given an equation of the line:

- 3 x+ 8 y = 12

We need to find the slope of the equation.

x intercept:

- 3 x = 12

x = -4

Point 1 = ( - 4 , 0 )

y intercept:

8 y = 12

y = 1.5

Point 2 = ( 0 , 1.5 )

Slope = (y₂ - y₁) / (x₂ - x₁)

Substituting the values, we get that:

m = ( 1.5 - 0 ) / ( 0 - [-4])

m = 1.5 / 4

m = 0.375

Therefore, we get that, the slope of the equation - 3 x+ 8 y = 12 is 0.375.

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a) Simplification of the algebraic expression 5(x³ - x) + 5x²/3 - 12x when x = 3 is; 99

b) Simplification of the algebraic expression 3y + 16 + (y/2) - (20/y) is; 25

a) We are given the algebraic expression;

5(x³ - x) + 5x²/3 - 12x

We want to simplify this when x = 3. Thus, we plug in 3 for x to get;

5(3³ - 3) + 5(3²)/3 - 12(3)

= 5(27 - 3) + (5 * 3) - 36

= 120 + 15 - 36

= 99

b) We are given the algebraic expression;

3y + 16 + (y/2) - (20/y)

We want to simplify this when y = 4. Thus, we plug in 4 for y to get;

3(4) + 16 + (4/2) - (20/4)

= 12 + 16 + 2 - 5

= 25

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Answer:

there.....................

Answer:

I4, C20, H6, O13, M3, V10, P23, G8, K19, H21, P16

Answer:

3x² + x

Step-by-step explanation:

collect the like terms first:

2x² + x² - 4x + 5x + 1 - 1

3x² + x

Answer:

the last answer. 3x to the second power + x

Step-by-step explanation:

The actual dimensions of Abigail's house are 20ft, 14ft, 18ft, 16ft, 18ft.

For 6 cm in drawing his house is 12 ft on scale which is twice the drawing

This means the scale factor is 2

Therefore,

10cm = 2 × 10 = 20ft

7cm = 2 × 7 = 14ft

9cm = 2 × 9 = 18ft

8cm = 2 × 8 = 16ft

9cm = 2 × 9 = 18ft

The scale factor is the quantity that is multiplied by an object's scale to produce a separate object that has the same appearance but is a different size—either scaled up or scaled down.

To increase an object by a scale factor, measure all of its sides and multiply the result by the scale factor.

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Answer: where's the pic?

The first five terms of a geometric sequence in which the second term is 6 and fourth term is 54 are 2, 6, 18, 54, 162. Thus, the correct option is option D.

A Geometric progression may be defined as a series of terms in which the ratio between each succeeding term and the preceding term of the series is constant.

It is given that the second term of the series is 6 and the fourth term is 54.

The first five terms of geometric sequence are given by a, ar, ar², ar³ and ar⁴.

Thus, ar = 6                                                            ......(1)

ar³ = 54                                                                  ......(2)

Divide equation (2) by (1)

ar³/ar = 54/6

r² = 9

=> r = 3

Putting value of r in equation (1)

ar = 6

=> a×3 = 6

=>a = 2

Now, substituting the values of a and r the terms of Geometric progression are given by:

a = 2, ar = 6, ar² = 18, ar³ = 54 and ar⁴ = 162.

Thus, the first five terms of Geometric sequence are given by 2, 6, 18, 54, 162.

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These measurements are not identical due to confounding;

When the effects of two or more explanatory variables on a response variable cannot be distinguished from one another, confounding occurs in an experiment.

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Using distance formula, distance between two points is √61 unit

Let's us consider an example first -

What is the the distance between A and B

Let A = (3,2) and B (9,7)

Given A (3,2) and B( 9,7) are the two points on a plane

We have find to distance between A and B

Put the distance formula in two points as we know -

Distance= d√(x^2-x^1)^2 + (y^2-y^1) ^2

Here X1= 3

         X2 =9

         Y1=2

         Y2=7

Thus putting all these value x and y formula

d= √(9-3)^2+(7-2)^2

d=√(6^2+5^2)

d=√(36+25)

d=√61 unit

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A pair of shoes gives us 48 different outfits.

What is a linear equation?

We will employ the basic counting principle, which states that if one task can be completed in method A and another in way B, then both tasks may be completed in way A*B.

If mom buys 1 shirt, then total shirts(A) = 6+1 =7, total pants(B) = 2 and total shoes (C) = 3

By basic counting principle, number of outfits = A*B*C = 7*2*3 = 42 outfits possible

and

If mom buys 1 pair of shoes, then total shirts(A) = 6, total pants(B) = 2 and total shoes (C) = 3+1 = 4

By basic counting principle, number of outfits = A*B*C = 6*2*4 = 48 outfits possible

hence, buying a pair of shoes gives us 48 different outfits.

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Answer:

Step-by-step explanation:

x=4 is a vertical line.

horizontal line through (-6,5): y=5

y=6 is a horizontal line.

vertical line through (-6,5): x=-6

The equation of line parallel to y = -( 1/3 )x + 4 and passing through the point P ( 6 , 5 ) is y = -( 1/3 )x + 7

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

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

Given data ,

Let the equation of line be represented as A

Now , the value of A is

y = -( 1/3 )x + 4

Let the first point be P ( 6 , 5 )

Slope m = -1/3

The parallel lines have the same slope , so the point-slope form of the equation of a line to find the equation of the line passing through P(6,5) with slope -1/3 is

y - 5 = ( -1/3 ) ( x - 6 )

Adding 5 on both sides , we get

y = ( -1/3 )x + 2 + 5

y = -( 1/3 )x + 7

Hence , the equation of line is y = -( 1/3 )x + 7

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The complete question is attached below :

What is the equation of the line that is parallel to the line y = -1/3x + 4 and passes through the point (6, 5)?

A) y = -1/3x + 3

B) y= -1/3x + 7

C) y= 3x - 13

D) y= 3x + 5

The required coordinate of point p is (4,6) of line segment PS.

Given that

M(5, 7) is the midpoint of PS The coordinates of S are (6, 9).
To determine the coordinates of p.

Here,
Let the coordinate of P be (h, k)
Now, the coordinates of the midpoint is given by,
x = [x₁ + x₂] / 2                           ;     y = [y₁ + y₂] / 2
now, putting x = 5, x₁ = 6, x₂ = h;     y = 7, y₁ = 9 y₂ = k
5 = 6 + h / 2                              ;     7 = 9 + k / 2
10 - 6 = h                                  ;     14 - 9 = k    
h = 4                                         ;      k  = 5

Thus, the required coordinate of point p is (4,6).

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Answer:

5

Step-by-step explanation:

42-(3c+4)=2(c+4)+c

42-3c-4=2c+8+c

42-4-3c=3c+8

38-3c=3c+8

38-3c-3c=8

38-6c=8

6c=38-8

6c=30

c=30/6

c=5

The two equivalent expressions for the area of the cafeteria are:

a. x = 6² + 7² feet

b. 36 + 49 = x feet.

Given the length of the cafeteria is 7² ft and

the width of the cafeteria is 6² ft.

Area = length × width

let the area be 'x'.

x = 6² × 7²

According to the law of exponents.

x = 36 × 49

x = 1764 ft

hence we get the area as 1764 ft of the cafeteria.

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Step-by-step explanation:

1.092*101 is the same as 1.092*100 ( or 109.2)+1.092, which equals 110.292.

7*10 is 70-1 is 69. from here, we can just estimate it since 69*2 is 138. Once you do it, you can find that it is roughly 1.59.

I hope this helped. I didn't know what you meant by the numbers under it.

Answer:

the answer is 15.6

Step-by-step explanation:

Answer:

12+1=x    x=13

Step-by-step explanation:

12 is the hours at the doctor's office.1 is the hour driving. and x is the total time

Answer:

I'm assuming that the number is supposed to be 4.32x10‾⁴, so if the new cell has half the diameter, then it's diameter would be 2.16x10‾⁴

2x+6-4x-1=13

2x+5=13

2x=8

x=4

The value of x will be equal to 0 and y will be equal to 1.

It is given that there are two equations.

We have to solve both equations to get the value of x and y.

What is algebra ?

Algebra is the branch that deals with various symbols and the arithmetic operations such as addition , subtraction , etc.

As per the question ;

The two equations are

2x + 5y = 5 --- -- - - - ------ ---- --- --- ---- Equation 1

4x + 3y = 3 --- ----- ------ ----- ----- ----- -- Equation 2

Let's solve these equations to get value of x and y ;

So ;

Multiplying equation 1  , by 2 we get ;

4x + 10y = 10 --- ----- ------ ----- ----- ----- -- Equation 3

Subtract it with equation 2 ;

i.e., Equation 3 - Equation 2

(4x + 10y) - (4x + 3y) = 10 - 3

7y = 7

y = 1

And value of x will be ;

2x + 5 × 1 = 5

2x = 5 - 5

2x = 0

or

x = 0

Thus , the value of x will be equal to 0 and y will be equal to 1.

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Number Form

C.) 38.107

___________________________________________________

The solution is simple. "Thirty-eight" is just 38, remaining on the left side of the decimal. Meanwhile, "one hundred seven thousandths" is 107, however on the right side of the decimal. Now you know this, put the two parts together and you have your number form; 38.107, aka. Option C.

___________________________________________________

Hope this helps! If so, lmk! Thanks and good luck!

If the sum of three lengths of a fence ranges from 45 to 60 inches and  two side lengths are 9 and 18 inches, If the length of the third side is x inches, then the compound inequality to show the possible length of the third side is 18≤x≤33

Given,

The range of sum of three lengths = 45 to 60 inches

Length of other two side = 9 and 18 inches

Length of third side = x

Sum of three lengths = 9+18+x

= 27+x

The range of sum of three lengths is 45 to 60

then,

45≤27+x≤60

Subtract 27 from each part

18≤x≤33

Hence, if the sum of three lengths of a fence ranges from 45 to 60 inches and  two side lengths are 9 and 18 inches, If the length of the third side is x inches, then the compound inequality to show the possible length of the third side is 18≤x≤33

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Answer:

B

Step-by-step explanation:

This is because 18 is less than or equal to x which is less than or equal to 33. Your welcome

The number of unique trapezoids that can be drawn with base angles and side measures is 1

The given parameters are

Base angle = 60 degrees

Side lengths = 4 cm, 4 cm, 8 cm, and 12 cm

From the question, we understand that the given angle is the base angle

Since the base angles are equal, then the trapezoids is an isosceles trapezoid

This also means that the nonparallel sides are equal i.e. 4cm each

While the parallel sides are not i.e. 8cm and 12 cm

Hence, the number of unique trapezoids that can be drawn with base angles and side measures is 1

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