Lara writes the expression 1.5x + 2.75y + 3. Maria writes the expression 3 + 1.5x + 2.75y. Which property can be used to prove the two expressions are equivalent? * 1 point additive property associative property commutative property distributive property

The  z-score to percentile of 1 = -2.326

In this question, we need to find the z-score to percentile of 1

We know that a Z-scores is a normalized score that used to compare values relative to their population. z-score represents a specific location in the normal distribution, so that there is a certain area that is to the left of that z-score. The percentile associated to a z-score is nothing but the area to the left of that z-score.

the  z-score to percentile of 1 = -2.326

Therefore, the  z-score to percentile of 1 = -2.326

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The proportionality is a relation between two quantities. The equation for the given cases can be written as 3g = 5m,  5m = 3g, 5g = 3m and g = 8 m.

When two quantities have some dependence in their values they can be said to be proportional to each other.

It can be of two types such as direct and indirect.

The direct proportionality means the values of both the quantities are increasing or decreasing at the same time while the indirect proportionality implies that the value of one quantity is increasing while the other is decreasing.

Given that,

The number of gallons of water = g,

The number of minutes = m,

And, the equation for the given condition as,

g = 3 / 5 m

The equation for each minute the washing machine runs, it uses five thirds gallons of water is given as,

g = 5 / 3 m

=> 3g = 5m

The equation for each minute the washing machine runs, it uses three fifths of a gallon of water is given as,

m = 3 / 5 g

=> 5m = 3g

The equation for each gallon of water the washing machine uses, it runs for three fifths of a minute is given as,

g = 3 / 5 m

=> 5g = 3m

The equation for each gallon of water the washing machine uses, it runs for 8 minutes is given as,

g = 8 m

Hence, the equation for the given conditions can be written as,

3g = 5m,  5m = 3g, 5g = 3m and g = 8 m.

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The angles are equal because the angles are corresponding and the value of x is 7.

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

It is given that:

Two parallel lines are intersected by a transversal.

The angles shown in the picture is called corresponding angles.

The angles are equal to each other

75 = 11x - 2

11x = 77

x = 7

Thus, the angles are equal because the angles are corresponding and the value of x is 7.

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Answer: x=2±√3

Step-by-step explanation:

[tex]\displaystyle\\x^2-4x+1=0\\\\ax^2+bx+c=0\\\\a=1\ \ \ \ \ b=-4\ \ \ \ \ c=1\\\\D=b^2-4ac\\\\D=(-4)^2-4(1)(1)\\\\D=16-4\\\\D=12\\\\\sqrt{D} =\sqrt{12}\\\\\sqrt{D}=\sqrt{3(4)} \\\\\sqrt{D}=2\sqrt{3}\\\\ Hence,\\\\x=\frac{-bб\sqrt{D} }{2c} \\\\x=\frac{-(-4)б2\sqrt{3} }{2(1)} \\\\x=\frac{4б2\sqrt{3} }{2} \\\\x=\frac{2(2б\sqrt{3}) }{2} \\\\x=2б\sqrt{3}[/tex]

The value of solution of equation is,

⇒ x = (2 ± √3)

An algebraic equation with the second degree of the variable is called an Quadratic equation.

Given that;

Quadratic equation is,

⇒ x² - 4x + 1 = 0

Now, We can simplify as;

⇒ x² - 4x + 1 = 0

⇒ x = - (-4) ± √(-4)² - 4×1×1 / 2

⇒ x = (4 ± √16 - 4) / 2

⇒ x = (4 ± √12) / 2

⇒ x = (4 ± 2√3) / 2

⇒ x = (2 ± √3)

Thus, The value of solution of equation is,

⇒ x = (2 ± √3)

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Answer: 1: Congruent angles

2: Corresponding Angles

3: 7

Step-by-step explanation:

I'm not entirely sure if I got all of these correct due to the fact I'm not the best when it comes to math, but when I searched the word bank options and looked at the images, I made sure they looks the most similar.

Answer:

Step-by-step explanation:

The margin of error is obtained by multiplying the standard error by t*.

The margin of error can be calculated in two ways, depending on whether you have population parameters or sample statistics:

Margin of error (parameter) = critical value x population standard deviation Margin of error (statistic) = Critical value x Sample standard error

A margin of error is a statistical metric that accounts for the difference between actual and projected survey results in a random sample.

In layman's terms, the margin of error measures the degree of unpredictability in data and research results. The margin of error formula is calculated by multiplying a critical factor. The result is then divided by the square root of the sample's number of observations.

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The distance between the points B and C is 12m

Distance between two points is the length of the line segment that connects the two points in a plane. The formula to find the distance between the two points is usually given by d=√((x2 – x1)² + (y2 – y1)²). This formula is used to find the distance between any two points on a coordinate plane or x-y plane.

for the coordinates B (-14,-5) and C(-14, 7), then x1 = -14 ,x-2= -14 , y1= -5 and y2= 7

therefore d =√((x2 – x1)² + (y2 – y1)²) = √((-14– -14)² + (-5 – 7)²)

d=√((0)² + 12²)

d=√144

d= 12m

therefore the distance between the points B and C is 12m.

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Adjacency matrices have to be symmetric. This is true.

An adjacency matrix is a square matrix used to represent a finite graph in graph theory and computer science. The matrix's elements indicate whether or not two vertices in the graph are adjacent. The adjacency matrix of a finite simple graph is an a-matrix with zeros on its diagonal.

An adjacency matrix is a method of representing a graph as a boolean (0 or 1) matrix. Any graph's adjacency matrix is symmetric, for the obvious reason that there is an edge between Pi and Pj if and only if Pj and Pi have an edge (the same one).

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Kayla's expected value for a 2- point shot is 1 point.

What is expected value?

The expected value, also known as expectation, expectancy, arithmetical expectation, mean, average, first or moment, is a generalization of the weighted average in the field of probability theory. Informally, the estimation is the arithmetic mean of a significant number of values of a random variable that were independently chosen. A weighted average of all potential outcomes constitutes the expected value of the a random variable with such a finite number of outcomes. When there is a continuum of potential outcomes, integration defines the expectation. The expectation is provided by Lebesgue integration in the measure theory-based axiomatic foundation for probability.

Sol- The expected value is calcuated using the formula:

EV= x.P(x)

where x is the weight/value of the event, and P(x) is the probability of the event occurring.

For a 2-point shot, we have:

X=2

P(x) = 50/100 = 0.5

There for the expected value will be -

EV = 2×0.5 = 1

Thus,

The expected value will be 1 point.

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The complete ratio is24:8=3:1.

What is ratio?

By comparing two amounts of the same units, the ratio can be used to calculate how much of one item is included in the other. There are two different categories for ratios. The first is a part to part ratio, whereas the second is a part to whole ratio. The relationship between two separate entities or organisations is shown by the part-to-part ratio. For instance, a class has a 12:15 boy-to-girl ratio, whereas the part-to-whole ratio describes how one group compares to another. For instance, five people enjoy reading books out of every ten persons. Since the ratio of the component to the total is 5:10, 5 out of every 10 persons enjoy reading.

Here the given ratio 24:8=3:?

Let us take missing part as x then,

=> 24:8=3:x

=>24/8=3/x

=>x = 3*8/24

=> x=1

Hence the complete ratio is 24:8=3:1

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The equation of the line that passes though the point (-6,-7) and is perpendicular to the line 6x + 5y = 30 is y = (5/6)x -2 .

In the question ,

it is given that

the required line is perpendicular to the line 6x + 5y = 30 ,

rewriting the line we get

5y = -6x + 30

y = (-6/5)x + 6

the slope of perpendicular is -6/5 ,

the slope of the required line will be 5/6 .

The equation of the line passing through (-6,-7) with slope 5/6 is written as

(y - (-7)) = (5/6)(x - (-6))

y + 7 = (5/6)(x + 6)

y + 7 = (5/6)x + 5

y = (5/6)x + 5 -7

y = (5/6)x -2

Therefore  , the equation of the line is y = (5/6)x -2 .

The given question is incomplete , the complete question is

What is an equation of the line that passes through the point (−6,−7) and is perpendicular to the line 6x+5y=30 ?

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The amount it would cost Rachel to shelve her book collection is $51.80.

The first step is to determine the total width of the 79 books in the collection.

Total width = width of one book x total number of books

Total width = 1.5 x 79

Total width = 118.50 inches

The second step is to calculate the number of shelves that would be needed for the book collection.

Number of shelves that would be needed = total width of the collection / width of one shelf

Number of shelves that would be needed = 118.50 / 34.50

Number of shelves that would be needed = 3.4 ≈ 4

Total cost to shelve the book collection = cost of one shelf x total number of shelves needed

Total cost to shelve the book collection = 4 x $12.95 = $51.80

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Hannah travel for 40 minutes when Hannah travels 5 times as many minutes to work as Raoul does. Together, they travel for 48 minutes.

In mathematics, an equation is a relationship between two expressions that is expressed as an equality on each side of the equal to sign. An equation would be 3y = 16, for instance.

Given,

Let Raoul travel in minutes be x

So, Hannah travel in minutes will be 5x

Together, they travel for 48 minutes.

Equation:

x + 5x = 48

6x = 48

x = 8

Hannah travel in minutes will be 5x.

Total travel by Hannah:

5(8)

40

Hannah travel for 40 minutes when Hannah travels 5 times as many minutes to work as Raoul does. Together, they travel for 48 minutes.

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1/4(10x+8)= -(1/2x+13) + 3(x+5) being examined by three Math Club members for all possible values of x.

Given that,

The formulas 1/4(10x+8) and -(1/2x+13) + 3(x+5) are being examined by three Math Club members for all possible values of x. According to the findings in the table, each student asserts that the expressions are connected.

We have to find which student is right.

Take the

1/4(10x+8) = 10/4x+8/4 = 5/2x+2

-(1/2x+13) + 3(x+5) = -1/2x-13+3x+15 = 5/2x+2

So, 1/4(10x+8)= -(1/2x+13) + 3(x+5)

Therefore, 1/4(10x+8)= -(1/2x+13) + 3(x+5) being examined by three Math Club members for all possible values of x.

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Answer: $7.95

Step-by-step explanation:

95.40/12

= $7.95

Answer:

unit rate per book

= $95.40 ÷ 12 books

= $7.95 per book

By solving a system of equations, we can see tha the value of b is 3.81

We know that we have a exponential function of the form:

f(x)=  a*(b)^x

And we know that:

f(5) = 20 and f(9) = 211

Then we can write a system of equations:

20 = a*(b)^5

211 = a*(b)^9

If we take the quotient between the second equation and the first one, we get:

211/20 = (a*(b)^9)/(a*(b)^5)

211/20 = b^(9 - 5)

211 = b^4

(211)^(1/4) = b

3,81 = b

The value of b is 3.81

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The adjustment factor (T) which adjusts the exponential smoothing forecast , does this adjustment for a. Trend.

A big part of the Adjusted exponential smoothing forecasting method is the use of an adjustment factor which has the purpose of adjusting the smoothing forecast for a trend.

If this trend is found, then there is a need to smoothen it out of the data so that the model is more trustworthy. It is important that this trend is removed to ensure that the forecast does not have a time bias.

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The next equation will be 6²-4²=2×10.

Here, we have given three equations and we have to find out the next equation.

The first three equations are like this

1. 3²-1²=2×4

2. 4²-2²=2×6

3. 5²-3²=2×8

Now,

As from the equation

On the L.H.S. we can see that every time it is creating a sequence

Like,  every time it is subtracting square value of the one’s from the another number’s square

Which is the value we got from adding 2 in first value.

And on the R.H.S.

We can say that every time 2 multiplies with the next even number than the previous one

So,

The last equation was 5²-3²=2×8

Therefore,

The next equation will be

6²-4²=2×10

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Answer:

x = 60, -70

Step-by-step explanation:

Let's move the constant (-130) to the right by adding it to both sides.

[tex]\sqrt{x} 4(x+5)^{2} =130[/tex]

Now, we can rewrite the equation as (since the square root and square cancel):
2 × | x + 5 | = 130

To get rid of the 2 multiplication, we can divide both sides by 2:

| x + 5 | = 65

This leaves us with 2 equations:

x + 5 = 65

x + 5 = -65

Simplify.

x1 = 60

x2 = -65

The Solutions for given inequalities are -2, 5, and -4

Inequalities are algebraic expressions in which both sides are not equal to each other. In inequality, we compare two values with signs like less than (<) (or less than or equal to), greater than (>) (or greater than or equal to), or not equal to sign(≠), etc.

Here we have three inequalities

m -1 < -3, - 4y < - 20, and 5 + b > 1  

We can solve each equation and can give a graph as given below

m -1 < -3  

Add 1 on both sides

=> m - 1 + 1 < -3 + 1

=> m < -2

- 4y < - 20  

Divide both sides with - 4 on both sides

=> - 4y/4 < - 20/4

=>  -y  < - 5

Multiply with -1 on both sides

=> -1(-y) < -5(-1)

=>   y < 5

5 + b > 1  

Subtract - 5 on both sides

=> 5 + b - 5 > 1 - 5

=> b > -4

Therefore,

The Solutions for given inequalities are -2, 5, and -4

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Value of x is 2 and y is 0 of the equations 2x + y = 4 and x - y = 2.

A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is used.

Given,

Equation:

2x + y = 4

x - y = 2

From equation 2,

x = 2 + y

Equating in equation 1,

Using substitution method,

2(2+ y) + y = 4

4 + 2y + y = 4

3y = 0

y = 0

x = 2 + y

x = 2+ 0

x = 2

Value of x is 2 and y is 0 of the equations 2x + y = 4 and x - y = 2.

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The mass of sultanas is 1.5 kilograms which were found using the given data and ratio.

Given:

Ratio of currants: raisins: sultanas = 4:3:5.

The total mass of the three ingredients is 3.6 kilograms.

Let,

number of currants = 4x

number of raisins = 3x

number of sultanas = 5x

We know that,

4x + 3x + 5x = 3.6

12x = 3.6

x = 0.3

So, the mass of sultanas = 5x = 5(0.3) = 1.5

Therefore, the mass of sultanas is 1.5 kilograms which were found using the given data.

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The reasons for the possible congruency statements obtained from a similar question on the website are as follows;

Statement               [tex]{}[/tex]                                 Reason

7. ∠BAD ≅ ∠CAD

[tex]\overline{AD}[/tex] ≅ [tex]\overline{AD}[/tex]                       ⇒[tex]{}[/tex]                    Reflexive property

8. ∠2 ≅∠3

m∠2 = m∠3                     ⇒ [tex]{}[/tex]                  Angle congruency postulate

9. [tex]\overline{BE}[/tex] ≅ [tex]\overline{CE}[/tex]

[tex]\overline{DE}[/tex] ≅ [tex]\overline{AE}[/tex]

[tex]\overline{BE}[/tex] = [tex]\overline{CE}[/tex]           [tex]{}[/tex]              ⇒                    Segment Congruence Postulate

[tex]\overline{DE}[/tex] = [tex]\overline{AE}[/tex]           [tex]{}[/tex]              ⇒                    Segment Congruence Postulate

10. AE + BE = AB           [tex]{}[/tex]  ⇒                    Segment Addition Postulate

11. [tex]\overline{AB}[/tex] ≅ [tex]\overline{DE}[/tex]

[tex]\overline{DE}[/tex] ≅ [tex]\overline{AB}[/tex]          [tex]{}[/tex]               ⇒                    Symmetric property

Geometric figures are congruent if their shape and or size are the same.

Reflexive property of congruency

The reflexive property of congruency states that a shape is congruent to itself.

Angle congruency postulate

The angle congruency postulate states that if the measure of two angles are the same, then they are congruent

Segment congruency postulate

The segment congruency postulate states that if the length of two segments are the same, then the segments are congruent

Segment Addition Postulate

The segment addition postulate states a point B is located on a segment AC if and only if AB + BC = AC

Symmetric property of congruency

The symmetric property congruency states that if a geometric figure, A, is congruent to another geometric figure, B, then B is congruent to A

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Sale price of the house should be $141509

Amount = $150000

Commission% = 6 %

By formula

Selling price x commission rate = commission paid

SP × 6% = commission paid

(6·SP)/100 =  commission paid …. (1)

Again by formula

Selling price – commission paid = net amount to seller

SP - (6·SP)/100 = 150000   (from equation 1)

SP ( 1 - 0.06) = 150000

SP = 141509.43 ≈ 141509

$141509 should be the sale price of the house.

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Answer:

The x-intercept is -3

Step-by-step explanation:

Answer:

x = -3, y = 3  ----> (-3,0) and  (0, 3)

Step-by-step explanation:

Required: Find the X-intercept.

1) Let y = 0 to find the x-intercept (s):

0 = x + 3

2) Subtract 3 from both sides.

-3 = x

3) Switch sides.

x = -3

Just to find the y-intercept.

1) Let x = 0 to find the y-intercept (s):

y = 0 + 3

2) Simplify:
y = 3

Answer:

Brown 180°

Ginger 84°

Blonde 96°

Step-by-step explanation:

Brown 360 x 15/30 = 180

Ginger 360 x [tex]\frac{7}{30}[/tex] = 84

Blonde 360 x [tex]\frac{8}{30}[/tex] = 96

Answer:

Assuming this is a triangle, angles would equal up to 180 degrees

Step-by-step explanation:

105 + 25 = 135

180 - 135 = a, a = 45 degrees

Has 5 1/2 cups or 11/2

Needs 1 3/4 or 7/4

Divide how much she has by how much she needs

(11/2) / (7/4)

Is also the same as

(11/2) * (4/7)

Which equals

= 44/14

= 22/7

or 3 1/7

Answer:

$129.27 Sale price Including tax

Step-by-step explanation:

Original Price - Discount = Sale Price

130 - 130(0.12) = 114.40

114.40 + 114.40(0.13) = 129.27 Include sale tax

A line that represent the "rise" and the "run" of the line is shown in the image attached below. Also, a slope of this line in simplest form is equal to 0.25.

Mathematically, the slope of a line is also referred to as pitch or gradient and can be calculated by using this formula:

Slope, m = V/H

Where:

From the graph of this line, we would choose the following data points to represent both the rise and run:

Rise (x, y) = (-5, 0)

Run (x, y) = (7, 3)

Substituting the selected data points into the slope formula, we have;

Slope (pitch), m = (3 - 0)/(7 - (-5))

Slope (pitch), m = (3 - 0)/(7 + 5)

Slope (pitch), m = 3/12

Slope (pitch), m = 0.25

At point (-5, 0), the equation of this line would be calculated by using the point-slope form:

y - y₁ = m(x - x₁)

Where:

Substituting the parameters into the formula, we have;

y - 0 = 0.25(x - (-5))

y - 0 = 0.25(x + 5)

y = 0.25x + 1.25

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