Subtract 2x−5 from 3x+2 .

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Plz help me it's very important

\(\dfrac{7!4!}{5!3!}=6\cdot7\cdot4=168\)

Answer:

no its not 3.5

Given the angle 1170

We need to find the coterminal angle to the given angle

We will subtract 360 or a multiple of 360 from the given till we reach in the range 0 and 360

So, the coterminal angle =

So, the answer will be the coterminal angle = 90

Answer:

4608

Step-by-step explanation:

answer is 4,608

6+2 = 8, 8^3 = 512, 512*9 = 4608

Answer:

h = √91 cm

Step-by-step explanation:

Apply pythagorean theorem, a² + b² ° c².

Where,

a = ½(6) = 3 cm

b = h

c = 10 cm

Plug in the values

3² + h² = 10²

9 + h² = 100

9 + h² - 9 = 100 - 9

h² = 91

h = √91 cm

Answer:

Step-by-step explanation:

By using the Unitary Method we get the number of children who went on an excursion was 63. Thus, the total number of children at school is 90.

We are given that,

No. of children who stayed at school is 27,

Also, 70% of the children went on an excursion.

Suppose, the total number of children in percentage is 100%

Out of which 70% went on an excursion

Thus, the children who stayed at school is 100% - 70% = 30%

By using the Unitary method, we can find out the number of 70% of children.

If 30% of the children are 27

Then 70% of the children are = 27 × 100

                                                        30

                                                 = 63

∴ the total no. of children in the school = 27 + 63

                                                                 = 90

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Answer:

(i) 7 one is equivalent is equivalent to \(\frac{7}{100}\) hundreds, (ii) 1400 tenths is equivalent to 14 tens.

Step-by-step explanation:

We proceed to find the equivalent number in rational form:

(i) 7 one is equivalent to how many hundreds? In this case, we know that 7 one is equivalent to \(x\) hundreds. That is:

\(7\times 1 = x \times 100\)

Then, we solve the expression for \(x\):

\(x = \frac{7\times 1}{100}\)

\(x = \frac{7}{100}\)

7 one is equivalent is equivalent to \(\frac{7}{100}\) hundreds.

(ii) 1400 tenths is equivalent to how many tens? In this case, 1400 tenths is equivalent to \(x\) tens. That is:

\(1400\times \frac{1}{10} = x\times 10\)

Then, we solve for \(x\):

\(x = \frac{1400}{10\times 10}\)

\(x = \frac{1400}{100}\)

\(x = 14\)

1400 tenths is equivalent to 14 tens.

The solution to the system of equations is x = 1 and y = -3.

To solve the system of equations using the substitution or elimination method, let's start with the substitution method.

Given equations:

y = 4x - 7

4x + 2y = -2

We'll solve equation 1) for y and substitute it into equation 2):

Substituting y from equation 1) into equation 2):

4x + 2(4x - 7) = -2

4x + 8x - 14 = -2

12x - 14 = -2

Now, we'll solve this equation for x:

12x = -2 + 14

12x = 12

x = 12/12

x = 1

Now that we have the value of x, we can substitute it back into equation 1) to find y:

y = 4(1) - 7

y = 4 - 7

y = -3

Therefore, the solution to the system of equations is x = 1 and y = -3.

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Answer:

1:2

Step-by-step explanation:

:)

Answer:

0.4z plus 7 <1

Step-by-step explanation:

The values of the angles given are: 0,90,180,240,270,360,420,480,540,600,630,660,720 and

he sine of an angle is the trigonometric ratio of the opposite side to the hypotenuse of a right triangle containing that angle.  It is defined as the length of the opposite side divided by the length of the hypotenuse

The given angles are: 0,30,45,90,120,135,180,210,225,240,270,300,315,330,360

2∅  2*∅ = 0, 90,180,240,270,360,420,480,540,600,630,660,720

sin 2∅ = sin0 = 0; Sin90=1;  sin180=0; sin240= -0.8660; sin270 = -1;

Each angle is multiplied by sine sine360 =1; sin420 = 0.8660; sin480= 0.9848; sin540=1; sin600=-0.8660; sin630=-1; sin660=0.8660; sin720= 0.9397

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After handling raw meat the food preparer should: wash hands with soap.

It is important that after handling raw meat the food preparer should endeavor to wash his/her with soap and water and  dry your hand with a clean towel.

Washing of hand with soap will help to prevent bacteria based on the fact that  raw meats can contaminate the area you place your hands on which is why it is advisable to wash your hands after handling raw meat.

Therefore after handling raw meat the food preparer should: wash hands with soap.

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Answer and explanation:

A. To calculate annual profit, we find:

Total income - total cost for the 365 days in a year

Total income for different daily demands:

For 500 copies= 500×365×0.10=$18250

For 1000 copies= 1000×365×0.10=$36500

For 1500 copies=1500×365×0.10=$54750

For 2000 copies=2000×365×0.10=$73000

Total cost using five copiers= 400×12+5000×5+500000×0.03= $44800

Total cost using four copiers=

400×12+5000×5+400000×0.03=

$36800

Annual profit with daily demand of 2000 and five copiers available= $73000-$44800= $28200

B.

The total area of the prism is (a) 120 + 20k in terms of k

From the question, we have the following parameters that can be used in our computation:

The pentagonal prism

The total area of the prism is calculated as

Area = 2 * Pentagon + 5 * Rectangle

Given that

P = 20 and

Apothem, a = k

We have

Pentagon = 1/2 * 20 * k

Pentagon = 10k

Next, we have

Rectangle = 6 * P/5

So, we have

Rectangle = 6 * 20/5

Rectangle = 24

Recall that

Area = 2 * Pentagon + 5 * Rectangle

So, we have

Area = 2 * 10k + 5 * 24

Evaluate

Area = 20k + 120

Hence, the total area of the prism is (a) 120 + 20k

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To find the total area of a prism, we need to add up the area of all its faces. The given prism has a rectangular base with length 20 inches and width 6 inches. The area of the base is therefore 20 x 6 = 120 square inches.

The prism also has two congruent rectangular faces, each with a length of 20 inches and a height of K inches. The area of each face is therefore 20K square inches. Since there are two such faces, their total area is 2 x 20K = 40K square inches.
Finally, the prism has two more rectangular faces, each with a length of 6 inches and a height of K inches. The area of each face is therefore 6K square inches. Since there are two such faces, their total area is 2 x 6K = 12K square inches.
Adding up all the face areas, we get:
120 + 40K + 12K = 120 + 52K
Therefore, the total area (in terms of K) of the prism is 120 + 52K square inches.

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Answer:

Step-by-step explanation:

You want points A(-4, 0), B(0, -1) and C(-3, -3) reflected across the y-axis and translated left 5 and up 2.

The reflection across the y-axis changes the sign of the x-coordinate:

  (x, y) ⇒ (-x, y)

The translation adds the translation vector to the reflected coordinates.

  (x, y) ⇒ (x -5, y +2) . . . . . . translation (by itself)

Then the result of both transformations is ...

  (x, y) ⇒ (-x -5, y +2)

For a number of points, this arithmetic is conveniently accomplished by a calculator. The result is ...

Given:

The perimeter of a rectangle is 38”. If the length is 3” more than the width

Required:

Find the width.

Explanation:

We know the perimeter of the rectangle

Let width is x, So length will be three 3" more than width. That is x + 3

Now,

Width equal 8" and length equal 11"

Answer:

The width is 8". Option B is correct.

Answer:

Because the line is the shortest path between 2 points

Answer:

Brazil is the only country in South America that speaks Portuguese

The name Brazil comes from a tree named brazilwood

Brazil is the largest country in South America

lmk if incorrect

The measure of the angle m∠ZYX of the trapezoid is equal to 139°

A trapezoid is a quadrilateral with two parallel sides. The parallel sides are called the bases of the trapezoid, and the other two sides are called the legs. The adjacent angles of the trapezium are supplementary, so their sum is equal to 180°.

3x + 19 + x + 1 = 180°

4x + 20 = 180°

4x = 180 - 20 {collect like terms}

4x = 160

x = 160/4 {divide through by 4}

x = 40

m∠ZYX = 3(40) + 19 = 139°.

WXYZ is a trapezoid. Equation used to solve for x is (3x + 19) + (x + 1) = 180° because the angles m∠XYZ and m∠WXY are adjacent angles.

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Answer:

Step-by-step explanation:

The set of coordinates that satisfy the equation are as follows:

(2, 3)

The equation given is as follows:

x - 2y = -1

2x + 3y = 12

Therefore, let's find the set of coordinates that satisfies the equation. Hence,

x - 2y = -1

2x + 3y = 12

multiply equation(i) by 2

Hence,

2x - 4y = -2

2x + 3y = 12

Therefore, subtract the equations

7y = 14

divide both sides of the equation by 7

y = 14 / 7

y = 2

Let's find x as follows

x - 2y = -1

x = -1 + 2(2)

x = -1 + 4

x = 3

Therefore, the solution is (2, 3)

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Answer:

-4.25

Step-by-step explanation:

When x = -1, the equation is 5(-1) - 8y = 29. This simplifies to -5 - 8y = 29. Add 5 to both sides to get -8y = 34. Divide -8 from both sides to get y = -4.25.

Hope it helps!

The pair of numbers that yields the maximum product when their sum is 24 is (12, 12), and the maximum product is 144. The corresponding quadratic function is P(x) = -x^2 + 24x, and the parabola opens downwards.

To find a pair of numbers whose sum is 24 and whose product is as large as possible, we can use the concept of maximizing a quadratic function.

Let's denote the two numbers as x and y. We know that x + y = 24. We want to maximize the product xy.

To solve this problem, we can rewrite the equation x + y = 24 as y = 24 - x. Now we can express the product xy in terms of a single variable, x:

P(x) = x(24 - x)

This equation represents a quadratic function. To find the maximum value of the product, we need to determine the vertex of the parabola.

The quadratic function can be rewritten as P(x) = -x^2 + 24x. We recognize that the coefficient of x^2 is negative, which means the parabola opens downwards.

To find the vertex of the parabola, we can use the formula x = -b / (2a), where a = -1 and b = 24. Plugging in these values, we get x = -24 / (2 * -1) = 12.

Substituting the value of x into the equation y = 24 - x, we find y = 24 - 12 = 12.

So the pair of numbers that yields the maximum product is (12, 12). The maximum product is obtained by evaluating the quadratic function at the vertex: P(12) = 12(24 - 12) = 12(12) = 144.

Therefore, the maximum product is 144. This quadratic function has a maximum value because the parabola opens downwards.

To graph the function, you can plot several points and connect them to form a parabolic shape. Here is an uploaded image of the graph of the quadratic function: [Image: Parabola Graph]

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Answer:

it should be the graph on the bottom right

Step-by-step explanation:

The income should be more than the cost in order to make a profit and that happens for Leanne when she sells 8 quilts, so the 8 should be on the x-axis (the axis named "Quilts Sold")

The income should be 0 in the beginning bc when she sells 0 quilts she will be earning 0.

after selling 8 quilts her income will be higher than her costs

(Though naming the y-axis as "profit" is not accurate bc when she sells 0 quilts she will lose money since she will be spend money to make the quilts but not earn the money to compensate for the cost).

with all of these reasons combined the correct should be the one on the bottom right

Answer:

x^2+12x=-11

Step-by-step explanation:

Answer:

(-1, 12) and (-11, 132)

Step-by-step explanation:

Answer:

\( \frac{1}{3} \pi( {3.5}^{2} )(11) = 44.9\pi\)

C is the correct answer.

According to SAS congruent the △abc congruent △def. Thus using the given information, it can be prove.

What is congruent?

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.

There are four rules to prove congruency. They are SAS, AA, ASA, and SSS.

Given that ∠c ≅ ∠f

ab ≅ de

bc ≅ ef.

According to SAS rule, if two sides and one angle of a triangle is equal to two sides and one angle of another triangle, they the triangle are congruent.

Here two sides and one angle of △abc  is congruent of two sides and one angle of △def.

Therefore △abc congruent △def.

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The probability is given as follows:

0.278 = 27.8%.

The event is not mutually exclusive, as the probability is different of zero.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

The total number of outcomes when two dice are rolled is given as follows:

6² = 36.

The desired outcomes are given as follows:

Hence the probability is given as follows:

(6 + 4)/36 = 5/18 = 0.278 = 27.8%.

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The dilation transformation of the triangle ABC by a scale factor of 3, with the point P as the center of dilation indicates;

Side A'B' will be parallel to side AB

Side A'C' will be parallel to side AC

Side BC will lie on the same line as side BC

A dilation transformation is one in which the dimensions of a geometric figure are changed but the shape of the figure is preserved.

The possible options, from a similar question on the internet are;

Be parallel to

Be perpendicular to
Lie on the same line as

The location of the point P, which is the center of dilation, and the lines PC and PA of dilation and the scale factor of dilation indicates that we get;

PB' = 3 × PB

PA' = 3 × PA

PC' = 3 × PC

Therefore; The side B'C' will be on the same line as the side BC

The Thales theorem, also known as the triangle proportionality theorem indicates that;

The side A'C' will be parallel to the side AC

The side A'B', will be parallel to the side AB

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