2x + 6/3x-9 + 1/3 = x+6/3x-9

The answer is 10.

2.5 + 1.5 + 4 + 2 = 10.

Answer: 48

Step-by-step explanation: i know

Answer:

Step-by-step explanation:

y - 3 = -2/3(x - 3)

y - 3 = -2/3x + 2

y = -2/3x + 5

Using an exponential function, it is found that it takes 5.42 years for the car to halve in value.

A decaying exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which:

In this problem, the car depreciates 12% a year in value, hence r = 0.12 and the equation is given by:

[tex]A(t) = A(0)(0.88)^t[/tex].

It halves in value at t years, for which A(t) = 0.5A(0), hence:

[tex]A(t) = A(0)(0.88)^t[/tex]

[tex]0.5A(0) = A(0)(0.88)^t[/tex]

[tex](0.88)^t = 0.5[/tex]

[tex]\log{(0.88)^t} = \log{0.5}[/tex]

[tex]t\log{0.88} = \log{0.5}[/tex]

[tex]t = \frac{\log{0.5}}{\log{0.88}}[/tex]

t = 5.42.

It takes 5.42 years for the car to halve in value.

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Answer:

x=8, y=1

Step-by-step explanation:

subtract them from each other, so it ends up as 4y=4. y=1

therefore, x is 8 when you plug it back in.

Answer:

Step-by-step explanation:

2x = 16

x = 8

8 + 2y = 10

2y = 2

y = 1

(8, 1)

The situation involving the food establishment has a probability 2.08 percentage points higher than the situation involving the financial establishment

The question is incomplete, as the required table is not given.

From a more complete question, we have the following parameters:

Using the above values, the difference in the probabilities is

d = 10.59% - 8.56%

This gives

d = 2.03%

Hence, the true statement about the probability is (d)

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Answer:

12

Step-by-step explanation:

there are 12

between 23 and 35

Answer:

Yes

Step-by-step explanation:

12) 31.5

14) 36

That person have $ 573.79 in his account balance after 8 years.

Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.

Here, Principal = $ 310

          Rate of interest = 8%

          Time = 8 years

We know,

Amount = P (1 + i )ⁿ

              = 310 X (1 + 0.08)⁸

              = 310 X 1.85

             = $ 573.79

Thus, that person have $ 573.79 in his account balance after 8 years.

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Answer:

just count up that equals 1000

Answer:

-10(-9)+8 or 98

Step-by-step explanation:

If they are asking for the question formart for an answer then plug in like the first answer if they’re asking for the full simplified answer then simplify the first answer and then you’ll get 98

The Venn diagram of each situation is a diagrammatic way of representing what the situation stands for

Diagram 1: A ∩ B ∩ C

This means that we shade all intersection points of the sets A, B and C

Diagram 2: (A ∩ B) ∪ C

This means that we shade the intersection points of the sets A and B and the whole of set C

Diagram 3: A ∩ (B ∪ C)

This means that we shade the where the set A intersects with the whole of sets B and C

Diagram 4: (A ∩ B) \ C

This means that we shade the intersection point of the sets A and B without shading any point on set C

Diagram 5: (A\B) ∪ (B\C) ∪ (A\C)

This means that we shade all set A without set B, all set B without set C and all set A without set C. In other words, we shade everything in the set without shading set C

See attachment for the diagrams

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The surface area of the barn is 2040 square feet.

A rectangle is a plane shape with four sides and four right angles.

Analysis:

The barn is composed of:

Two straight  long rectangles with dimensions = 10ft x 40ft

Two slant rectangles with dimensions = 10.6ft x 40ft

Two short rectangles with dimensions = 10ft x 14ft

Two triangles, height 8ft and base 14feet

The surface area of barn = 2(10x40) + 2(10.6 x 40) + 2(1/2 x 14 x 8) + 2(10 x 40) = 800 + 848 + 112 + 280 = 2040 square feet

In conclusion, the surface area of the barn is 2040 square feet.

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Answer:

x = -1/2.

Step-by-step explanation:

x^2 - 4 = (x - 2)(x + 2)  so if we multiply each term by x^2 -4 we get:

2 - 1(x - 2) = 3(x + 2)

2 - x + 2 = 3x + 6

2 + 2 - 6 = 3x + x

4x = -2

x = -1/2.

Answer:

[tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

1. Multiply both sides of the equation by the LCM (x - 2)(x + 2):

[tex]\frac{2}{x^{2} -4} (x-2)(x+2)[/tex]

factor x² - 4 by rewriting it as x² - 2²

x² - 2² = (x + 2)(x - 2)

now we have;

[tex]\frac{2}{(x+2)(x-2)} (x-2)(x+2)[/tex]

cancel the common factors (x - 2)(x + 2)

= 2

-------------------------------

[tex]\frac{-1}{x+2} (x-2)(x+2)[/tex]

cross cancel the common factor (x + 2)

[tex]\frac{-1}{x-2}=-(x-2)=-x+2[/tex]

-------------------------------

[tex]\frac{3}{x-2} (x-2)(x+2)[/tex]

cross cancel the common factor (x - 2)

3(x + 2)

distribute the 3

3x + 6

-------------------------------

combining all new values, we have;

2 + (-x) + 2 = 3x + 6

-x + 4 = 3x + 6

2. Isolate x:

-x + 4-4 = 3x + 6-4

-x = 3x + 2

-x-3x = 3x-3x + 2

-4x = 2

-4x/-4 = 2/-4

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

hope this helps!

Answer:

rate of change:

y-intercept:

Step-by-step explanation:

your equation is y=3.25x+30

Here, the y-intercept is 30

your rate of change is $3.25, since you get charged $3.25 per bouquet.

The rate of change is $3.25 and the y-intercept is $30.

A mathematical statement that relates two algebraic expressions by an equal sign.

The Tram fancy balloons has offered a down payment of $30

and the charge per bouquet is $3.25

Let x represent the number of bouquets

The equation for the total cost can be formed is

y = 30 + 3.25*x

On comparing this with the standard equation y =mx+c

Here m is the slope and the rate of change and c is the y intercept

So,

The rate of change is $3.25

the y-intercept is $30

Therefore, the rate of change is $3.25 and the y-intercept is $30.

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Answer:

Stem Leaf

1 9 9

2 1 4 9

3 2 2 6

4 2 2

Step-by-step explanation:

Step-by-step explanation:

Answer:

option B Is correct

in the above angle F is the vertex and EG are the arm of angles

The name of the angle below is ∠EFG.

Option B is the correct answer.

The angles between two lines are the angles formed by two intersecting lines, measured in degrees or radians.

Several different types of angles can be formed between two lines, including acute angles, right angles, and obtuse angles.

We have,

From the figure,

There is only one angle.

i.e

∠EFG = ∠GFE

Thus,

The name of the angle below is ∠EFG.

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The perimeter of the water wheel  [tex]8\sqrt{10}[/tex]

The correct option is (A)

The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula. To derive the formula, let us consider two points in 2D plane A( x, a) and B(y, b).

So, the distance between two points be: [tex]\sqrt{(y-x)^{2}+(b-a)^{2}}[/tex]

As water wheel is designed in the shape of regular octagon.

To find the perimeter of the  water wheel.

Since the water wheel is in the shape of regular octagon all sides are equal.

Using Distance Formula,

D= [tex]\sqrt{(4-3)^{2}+(0-3)^{2}}[/tex]

  = [tex]\sqrt{10}[/tex]

So, the side of regular octagon will be [tex]\sqrt{10}[/tex].

Perimeter of Regular Octagon = 8 x side

                                                   = [tex]8\sqrt{10}[/tex]

Hence, the perimeter of the water wheel  [tex]8\sqrt{10}[/tex]

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Answer:

A

Step-by-step explanation:

Answer:

B. The system has no solution.

Step-by-step explanation:

[12x + 7y] = (20)

[12x + 7y] = (11)

The numbers in (parentheses) are both different while the numbers in the [brackets] are the same.

20=7y+12x

12x+7y=11

Slopes are

No solutions

Answer:

4ft

Step-by-step explanation:

Answer:

4ft

Step-by-step explanation:

Answer:

B.) $300

Step-by-step explanation:

just multiply 15 by how many hours you have

Answer: y=5

Step-by-step explanation:

114+7y+y+26=180

8y+140=180

    -140   -140

8y=40

8     8

y=5

The triangles AEB and DEC are congruent by the SAA congruence theorem

The given parameters are:

The above parameters mean that:

Also, it means that two corresponding angles and one corresponding side on triangles AEB and DEC are congruent;

This represents the ASA congruence theorem.

Hence, ΔAEB and ΔDEC are congruent by the SAA congruence theorem

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Answer:

-5 is the coefficient of b

         - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

What is the coefficient of b² in the expression b²-b⁵+18?

[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]

1

[tex]\blue{\textsf{\textbf{\underline{\underline{How to Solve:-}}}}[/tex]

The coefficient is defined as a number before a variable.

If there's no number, then the coefficient is 1.

Since b² has no number next to it, its coefficient is 1.

                - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Step-by-step explanation:

here AE = DE

AND BC = DC SO BY SAS IT IS CONGRUENT

Step-by-step explanation:

the first : e.g. a trapezoid

only 2 lines are parallel, but still it is a closed object with 4 vertexes and therefore 360° sum of internal angles. and 2 of the angles are smaller than 90°, and 2 are larger than 90°.

the second : a parallelogram, with all 4 sides having the same length. a square that is pushed e.g. on the top while the bottom stays.

the third : a rectangle. perpendicular means intersecting at 90°. but not a square. length and width must be different.

that's it, really. what was so confusing for you ?

Answer:

SA = 90 in²

Step-by-step explanation:

given 2 similar shapes with sides in ratio a : b , then

ratio of areas = a² : b²

ratio of volumes = a³ : b³

Given ratio of volumes = 64 : 27 , then

ratio of sides = [tex]\sqrt[3]{64}[/tex] : [tex]\sqrt[3]{27}[/tex] = 4 : 3

then ratio of areas = 4² : 3² = 16 : 9

let x be the surface area of the smaller box then by proportion

[tex]\frac{x}{9}[/tex] = [tex]\frac{160}{16}[/tex] = 10 ( multiply both sides by 9 )

x = 90

surface area of smaller box is 90 in²

67.5 square inches is the surface area of a similar shoe box if its volume is only 27 cubic inches

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given that  shoe box has a volume of 64 cubic inches and a surface area of 160 square inches.

We have to find the  surface area of a similar shoe box if its volume is only 27 cubic inches

Lets form a proportional equation

64/160 = 27/x

Apply cross multiplication

64x=160(27)

64x=4320

Divide both sides by 64

x=4320/64

x=67.5

Hence, 67.5 square inches is the surface area of a similar shoe box if its volume is only 27 cubic inches

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Answer:

-1/4 x 4 = -1

Step-by-step explanation:

:)