simplify the expression -3(x + 9) by either combining like terms of distributive property
​

The cost of sheet metal per square​ foot is $20.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. The general equation of a straight line is -

y = mx + c

[m] is called slope and it tells the unit rate of change in [y] with respect to [x].

We have a contractor bought 10.8 ft² of sheet metal. He has used 2.3 ft² so far and has ​$170 worth of sheet metal remaining.

The equation 10.8x − 2.3x = 170 represents how much sheet metal is remaining and the cost of the remaining amount.

We have the following equation -

10.8x − 2.3x = 170

8.5x = 170

x = 170/8.5

x = 20

Therefore, the cost of sheet metal per square​ foot is $20.

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The converse of the conditional statement is “If Halloween is in September then the capital of Virginia is Richmond”.

The inverse of the conditional statement is “If Halloween is not in September then the capital of Virginia is Richmond”

The contrapositive of the conditional statement is “If the capital of Virginia is not Richmond, then Halloween is in not September”.

The conditional statement is defined as the two fundamental components that make up a conditional statement Hypothesis (if) and Conclusion (then).

The given conditional statement is "If the capital of Virginia is Richmond, then Halloween is in September"

The converse of the conditional statement is “If Halloween is in September then the capital of Virginia is Richmond”.

The inverse of the conditional statement is “If Halloween is not in September then the capital of Virginia is Richmond”

The contrapositive of the conditional statement is “If the capital of Virginia is not Richmond, then Halloween is in not September”.

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Answer: The answer to your question is 83.9

(When rounded, the answer is 84)

The average monthly payment made by the customer is $638.

In order to calculate average, divide the total sum of the data to the total number of data. An average is a standard number for a given data whose value can both be more or less than it.

Given that,

The cost of Sedan for three years is $22,968.

The time in months can be calculated as,

3 × 12 = 36 months

The average payment per month can be found by dividing the total amount by total number of months as follows,

Average monthly payment = 22968/36

                                            = 638

Hence, the average monthly payment made by a customer in the  interest-free period is $638.

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The perimeter of the figure described in the question is 42.84cm

The figure is defined by a half circle is joined to an equilateral triangle with side lengths of 12 units.

So the perimeter of the figure will be equal to half of the circumference of the triangle plus the length of the two exposed sides of the triangle.

The diameter of the circle will also be 12 units, remember that the circumference of a circle of diameter D is:

C = 3.14*D

In this case, the circumference of half circle is:

C = 3.14*D/2

Replacing the value of the diameter:

C = 3.14*12cm/2 = 18.84cm

Adding the two sides of the triangle we get the perimeter.

P = 18.84cm + 2*12cm = 42.84cm

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the solution is (2,2)

step by step explanation:

y=-1/2x+3 : go up 3 on the y-axis, then go down 1 and the the right 2 and repeat.

y=2x-2 : go down 2 the y-axis, then got up 2 and to the right 1 and repeat.

where ever point the two linear lines intersect in the solution point.

15.2 gallons of gasoline will cost:

15.2 * 2.75 =$41.8

9.5 gallons of diesel will cost:

9.5 * 3.02= $28.69.

The total amont Grabiel will spend on gasoline and diesel:

$41.8 +28.69= $70.49

Answer:

8

Step-by-step explanation:

2.75x8=22

or

22.00÷2.75=8

(not sure)

Answer:

Step-by-step explanation:

1 - 1/3 cup of pureed avocados

although it matters how much you are making.

if you are making 6 cups then you only need 2/3 cups of pureed avacados

Answer:

2/3

EXPLANATION

Based on the given conditions, formulate:

Convert the expression into a fraction:

Expand the fraction to get the least common denominator:

Calculate the product or quotient:

Write the numerators over common denominator:

Calculate the sum or difference:

Apply Multiplicative Distribution Law:

Write as a single fraction:

Calculate the product or quotient:

Calculate the product or quotient:

Cross out the common factor:

Reorder and combine like terms:

Write the numerators over common denominator:

Calculate the sum or difference:

Cross out the common factor:

Calculate the sum or difference:

Cross out the common factor:

get the result:

Answer: 2/3

Answer:

False

Step-by-step Explanation:

15:20=5×3 5×4 =3 4=3:4 So it is not equivalent to 4 : 5.

Answer:

this my alt account

Step-by-step explanation:

Recall properties of symmetry:

Using the properties we can state that:

Step-by-step explanation:

6.25 points

Find the GCF for the list.

10m4, 40m⁹

10m5

40m4

10m4

6.25 points

list

Answer:

18 liters of 41% alcohol and 12 liters of 11% alcohol.

Step-by-step explanation:

.41x + .11(30-x) = .29(30)  I am going the clear the decimal by multiply all the way through by 100

41x + 11(30 -x ) = 29(30)

41x + 330 -11x = 875  Combine like terms

30x +330 = 875  Subtract 330 from both sides

30x = 540  Dived both sides by 30

x = 18

30 - 18 = 12

Amount        Percent         Total

x                    .41                  .41x

30 - x            .11                  .11(30 - x)

30                  .29                .29(30)

Look at the total column

.41x + .11(30-x) = .29(30)

Answer:

52 = 13h

Step-by-step explanation:

Answer:

Its b

Step-by-step explanation:

The triangle is a not right triangle because it does not follow the Pythagoras theorem

From the question, we have the figure that represents the parameter that can be used in our computation:

The sides of the triangles are

6, 8 and 9

For a triangle to be a right triangle, the side lengths must follow the Pythagoras theorem

The Pythagoras theorem states that

Longest side² = Sum of the squares of the other sides

So, we have

9² = 6² + 8²

Evaluate

81 = 100

The above equation is false

Hence, the triangle is not a right triangle

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Length is 33.33 feet and width is 25 feet are dimensions should

be used so that the enclosed area will be a maximum.

The area of Rectangle is length times of width

Given that, a rancher has 200 feet of fencing to enclose two adjacent rectangular corrals of the same dimensions.

Here, the dimensions of the rectangles are the same.

The width of the two rectangles is W=2W+2W=4W

The length of the two rectangles is L=L+L+L=3L

Because the adjacent side has a common length.

3L+4W=200

3L=200-4W

Divide both sides by 3

L=(200-4W)/3

Let us form an equation using the area of rectangle formula:

A=2LW

=2(200-4W)/3.W

A=400-8W²/3

Let us differentiate to get the area to be maximized dA/dW=0

1/3×(400-8W²)=0

1/3(400-16W)=0

400-16W=0

400=16W

Divide both sides by 16

W=25

The width is 25 feet.

Substitute W value in equation to get L value:

L=200-4×25/3

=200-100/3

=100/3

=33.33

The length is 33.33 feet.

Now let us find the maximum area

A=2LW

=2×33.33×25

=1666.66

Hence, length is 33.33 feet and width is 25 feet are dimensions should

be used so that the enclosed area will be a maximum.

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Answer:

Step-by-step explanation:

t says that's 4 units distant from the another vertex. So, if a square is formed by 4 equal sides and 4 right angles, then you just have to add 4 units on x or y.

-> (2, 1) -> + 4 units on X

-> = (6, 1)

or

-> (2, 1) -> +4 units on Y

-> = (2, 5)

(2, 5) isn't an answer so the unique possible answer is (6, 1)

Answer: (6, 1)

Answer:80

Step-by-step explanation:

Using the coordinates of the vertices of a polygon (-3, 1), (-3, 3), (-1, 5), (2, 4), and (2, 1) the perimeter of the polygon is 16.0 units

The perimeter is calculated by summing the sides

The length of line in an ordered pair is calculated using the formula

d = √{(x₂ - x₁)² + (y₂ - y₁)²}

where

d = distance between the points

x₂ and x₁ = points in x coordinates

y₂ and y₁ = points in y coordinates

(-3, 1) and (-3, 3) =√{(-3 - -3)² + (3 - 1)²} = 2

(-3, 3) and (-1, 5) = √{(-1 - -3)² + (5 - 3)²} = 2√2

(-1, 5) and (2, 4) = √{(2 - -1)² + (4 - 5)²} = √10

(2, 4) and (2, 1) = √{(2 - 2)² + (1 - 4)²} = 3

(2, 1) and (-3, 1) = √{(-3 - 2)² + (1 - 1)²} = 5

The perimeter = 2 + 2√2 + √10 + 3 + 5

The perimeter = 15.9907

The perimeter = 16.0 units

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Answer:

I think about 9 days

(I'm pretty sure, but don't get mad if it's wrong

The required value of x for a given isosceles triangle is 16.

What is an isosceles triangle?

A triangle with two sides that have the same length is said to be an isosceles. When two sides of an isosceles triangle are equal, the angles across from those two sides likewise match up and are always equal.

Given that, the isosceles triangle then

two angles are equal

So, (5x-7)° = (8x-55)°

or, 8x - 5x = 55-7

or, 3x = 48

or, x = 48/3 = 16

Hence, the required value of x is 16.

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Answer:

A=11

Step-by-step explanation:

Hope this helps please give me Brainliest!

Answer:

1.  Line, Point, Rotational

2. Line, Rotational

3. None

4. Rotational

Step-by-step explanation:

Definitions

Figure 1

[tex]\boxed{\checkmark}\;\;\;\sf Line[/tex]

[tex]\boxed{\checkmark}\;\;\;\sf Point[/tex]

[tex]\boxed{\checkmark}\;\;\;\sf Rotational[/tex]

[tex]\boxed{\phantom{\checkmark}}\;\;\;\sf None[/tex]

This figure has vertical and horizontal lines of symmetry.

As this figure has point symmetry, it also has rotational symmetry of 180°.

Figure 2

[tex]\boxed{\checkmark}\;\;\;\sf Line[/tex]

[tex]\boxed{\phantom{\checkmark}}\;\;\;\sf Point[/tex]

[tex]\boxed{\checkmark}\;\;\;\sf Rotational[/tex]

[tex]\boxed{\phantom{\checkmark}}\;\;\;\sf None[/tex]

This figure has a vertical line of symmetry.

This figure does not have point symmetry as when the figure is rotated 180°, it no longer appears the same as the original figure.

This figure has rotational symmetry of 120°.

Figure 3

[tex]\boxed{\phantom{\checkmark}}\;\;\;\sf Line[/tex]

[tex]\boxed{\phantom{\checkmark}}\;\;\;\sf Point[/tex]

[tex]\boxed{\phantom{\checkmark}}\;\;\;\sf Rotational[/tex]

[tex]\boxed{\checkmark}\;\;\;\sf None[/tex]

It's difficult to tell as the provided picture of this figure is not flat, but it appears not to have any symmetry.

Figure 4

[tex]\boxed{\phantom{\checkmark}}\;\;\;\sf Line[/tex]

[tex]\boxed{\phantom{\checkmark}}\;\;\;\sf Point[/tex]

[tex]\boxed{\checkmark}\;\;\;\sf Rotational[/tex]

[tex]\boxed{\phantom{\checkmark}}\;\;\;\sf None[/tex]

This figure has no line symmetry.

This figure does not have point symmetry as when the figure is rotated 180°, it no longer appears the same as the original figure.

This figure has rotational symmetry of 120°.

The value of angle RPQ in the circle is 115 degrees.

Using angles of intersecting chord theorem, If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

Therefore,

∠RPQ = 1  / 2 (arc angle RQ + arc angle SA)

arc angle RQ = 175 degrees

arc angle SA = 55 degrees

Hence,

∠RPQ  = 1 / 2 (175 + 55)

∠RPQ  = 1 / 2 (230)

∠RPQ  = 115 degrees.

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Answer: 115 degrees

Step-by-step explanation:∠

RPQ  = 1 / 2 (175 + 55)

∠RPQ  = 1 / 2 (230)

∠RPQ  = 115 degrees.

Answer:

Step-by-step explanation: All you have to do would just separate the bread into groups of 2, and then count how many groups you have, and that would give you the answer.

The equation of the new parabola, that is, the image of the parabola f(x) = x² is g(x) = - (1 / 8) · x².

In this problem we must determine the image of the parabola f(x) = x², which is the result of a sequence of two rigid transformations: (i) Reflection across the x-axis, (ii) Dilation. Each kind of rigid transformation is described below:

Reflection across the x-axis

f'(x) = - f(x)

Dilation

g(x) = k · f'(x), where k is the scale factor.

Now we proceed to determine the equation of the new parabola:

Step 0

f(x) = x²

Step 1

f'(x) = - x²

Step 2

g(x) = - (1 / 8) · x²

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We need to figure out what is given in the question.

Given:

[tex]3(n + 4)[/tex]

Options:

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

[tex]3n + 4\\3n−12\\12 + n + n + n\\2n + 12 + n[/tex]

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

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

Answer:

[tex]2n + 12 + n = 3n + 12 = 3(n + 4)[/tex]

Therefore, the correct options are 12 +n+n+n and 2n + 12+n

Answer:

Step-by-step explanation:

D