-5x divided by 2 >37

Associative property would be the best to help simplify the given expression.

It's given that  (-2.7 x 5) x 2 and using associative property we can write it as ,  (-2.7 x 5) x 2 = -2.7 x ( 5 x 2 ) = -2.7 × 10 = - 27

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All pairs of congruent angles, and proportion that relates the corresponding sides for each pair of similar polygons are;

∠A ≅ ∠Z, ∠B ≅ ∠Y and ∠C ≅ ∠X

AC/ZX = BC/YX = AB/ZY

From the attached image, we see that Triangle ABC is similar to Triangle ZYX.

Now, the order of vertices in a similarity statement identifies the corresponding angles and sides. Since we know that ΔABC is similar to ΔZYX, we can take the corresponding angles of this statement and set them congruent to each other.

Now, since the corresponding sides of similar triangles are proportional to each other, we can write a proportion that relates the corresponding sides to each other as;

∠A ≅ ∠Z, ∠B ≅ ∠Y and ∠C ≅ ∠X

AC/ZX = BC/YX = AB/ZY

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Answer: -x^6(3x-1)(9x^2+3x+1)

Step-by-step explanation:

x^6-27x^9=

x^6(1-27x^(9-6))=

x^6(1-27x^3)=

-x^6(27x^3-1)=-x^6(3x-1)(9x^2+3x+1)

the 45

Step-by-step explanation:

679

Answer:

54/11 (or) 4 10/11

Step-by-step explanation:

Let's solve the problem,

→ 18 ÷ 3 2/3

→ 18 ÷ (11/3)

→ 18 × (3/11)

→ 54/11 = 4 10/11

Hence, the answer is 54/11.

Answer:

They make 200 pieces of caramel candies a day and 500 pieces of chocolate candies a day.

Step-by-step explanation:

Since the ratio is two to five, make it 2x + 5x = 700.

7x = 700

x=100

So, for caramel candies, 2 x 100 = 200

For chocolate candies, 5 x 100 = 500

The solution to the given fractional equation for the unknown value of x, is 6 4/9

3/4x - 4 = 5/6

3/4x = 5/6 + 4

3/4x = (5+24) / 6

3/4x = 29/6

x = 29/6 ÷ 3/4

= 29/6 × 4/3

= (29 × 4) / (6 × 3)

= 116 / 18

x = 6 8/18

x = 6 4/9

Therefore, the solution to the given fractional equation for the unknown value of x, is 6 4/9

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Answer:

it is the second one(that what I learned in school)

3/8 is the probability that they will have exactly 2 girls and 2 boys.

What does a probability mean?

Got to have 4 children

Boy and Girl are equally likely

Hence, P( boy) = P( girl) = 1/2

This is like performing binomial distribution.

P( excatly 2 boys and 2 girls)

=4C2(1/2)^2 (1/2)^2

=6/16

=3/8

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Applying the definition of a midpoint of a segment, the lengths are:

RT = 74 units

RS = 37 units

The midpoint is defined as the point that bisects a line segment into two equal halves.

If M is the midpoint of RT, therefore:

RS = ST

RS = 6x + 7

ST = 9x - 8

Substitute

6x + 7 = 9x - 8

6x - 9x = -7 - 8

-3x = -15

x = -15/-3

x = 5

RT = RS + ST [segment addition postulate]

RT = 6x + 7 + 9x - 8 [substitution]

RT = 15x - 1

Plug in the value of x

RT = 15(5) - 1

RT = 74 units

RS = 6x + 7 = 6(5) + 7

RS = 37 units.

Thus, applying the definition of a midpoint of a segment, the lengths are:

RT = 74 units

RS = 37 units

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If two groups of numbers have the same mean, then (D) none of these alternatives is correct.

Therefore, if two groups of numbers have the same mean, then (D) none of these alternatives is correct.

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The correct question is given below:
If two groups of numbers have the same mean, then

a. their standard deviations must also be equal

b. their medians must also be equal

c. their modes must also be equal

d. None of these alternatives is correct.

Proved that angle 2 is congruent to angle 4 (∠2 ≅ ∠4).

To proof:

Given:

This proof includes definitions of congruence and supplementary angles, as well as some equality properties.

Therefore, the proving is shown.

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The correct question is given below;
Angle 1 and angle 2 are supplementary. Angle 3 and angle 4 are supplementary. Angle 1 is congruent to angle 3. Prove: Angle 2 is congruent to angle 4.

Answer:

Step-by-step explanation:

Totally rad!

Vectors is a quantity that has both magnitude and direction as well. A vector that has 1 magnitude is called unit vector. Unit vector is represented by the symbol '^'.

To find a Unit vector we divide the vector by its magnitude.

First find the slope of the tangent line, slope of a tangent line for a point f(x) is given by f'(x). Hence at point (π/6,1) where x = π/6, the slope of the tangent line is :

[tex]f(x)=2sinx\\f'(x)=2cosx\\f'(\pi /6)=2cos(\pi /6)=2.\frac{\sqrt{3} }{2}=\sqrt{3}[/tex]

The slope of the tangent line at this point is [tex]m=\sqrt{3}[/tex]

Finding a unit vector parallel to the tangent line. since slope is the ratio y and x then we can set an arbitrary vector with slope 4 by letting x=1 and y = √3 or v=[1,√3]. this vector has slope √3 and this is parallel to the tangent line, However this is not unit vector because its magnitude is not equal to 1 so we can divide this vector by its magnitude to find the unit vector.

[tex]u_v=\frac{v}{|v|} =\frac{1 \sqrt{3} }{\sqrt{1^{2}+(\sqrt{3})^2 } } \\=\frac{1}{\sqrt{4} } ,\frac{\sqrt{3} }{\sqrt{4} } =\frac{1}{2}, \frac{\sqrt{3} }{2} =[\frac{1}{2},\frac{\sqrt{3} }{2} ][/tex]

If a line has slope of m then all lines perpendicular of it will have a slope of  -1/m

So we are looking for a unit vector of slope of -1/√3

Using the same logic we have unit vector that are perpendicular to the tangent line are [tex][\frac{\sqrt{3} }{2},-\frac{1}{2} ][/tex]

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Answer:

a)30

b) 5 to 2

c)25

We get the graph for the given points.

We are given the points:

 X.           Y

- 5           - 4

- 2           - 11

 1            - 18

 4           - 25

We will plot them on the graph.

In geometry, a coordinate system is a system that makes use of one or extra numbers, or coordinates, to uniquely decide the placement of the factors or different geometric factors on a manifold which include Euclidean space.

In mathematics, the graph of a function f is the set of ordered pairs, where f(x)=y.

A plane is the two-dimensional analogue of a point, a line and three-dimensional space.

Therefore, we get the graph for the given points.

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The equation that can be used to model the total number of yards of fabric, y. needed to make x curtain panels is y = (10 2/4 ÷ 4) × x

It should be noted that Mary used 10 2/3 yards of fabric to make 4 identical curtain panels.

Therefore, the equation that can be used to model the total number of yards of fabric, y. needed to make x curtain panels will be:

y = (10 2/4 ÷ 4) × x

where

y = number of yards

x = number of panels

Therefore, the equation is y = (10 2/4 ÷ 4) × x

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The next three numbers in the sequence are 27, 38, and 51

From the question, we are to determine the next three numbers in the given sequence

The given sequence is

2,3,6,11,18

The difference between the 1st and 2nd terms is 3 -2 = 1

The difference between the 2nd and 3rd terms is 6 -3 = 3

The difference between the 3rd and 4th terms is 11 - 6= 5

The difference between the 4th and 5th terms is 18 - 11= 7

We can observe that the successive odd numbers are being added to the terms

Thus,

The sixth term will be 18 + 9 = 27

The seventh term will be 27 + 11 = 38

The eight term will be 38 + 13 = 51

Hence, the next three numbers in the sequence are 27, 38, and 51

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The cost of x tickets for Star Cinema is; y = 7.5x

From the given table, we see that;

Cost of 4 tickets at Movie Galore = $31

Cost of 4 tickets at star Cinema = $30

Thus, we can find the cost of one ticket for each of the cinema's as;

Cost per ticket for Movie Galore = 31/4 = $7.75

Cost per ticket for Star Cinema = 30/4 = $7.5

Thus, cost of x tickets for Star Cinema is;

y = 7.5x

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Answer:

Step-by-step explanation:

lol maybe like 8 or something yeah

Every week, the water level dropped by 1.375 inches on average rate.

The average rate is what?

The ratio of "change in the function values" to "change in the interval endpoints" is referred to as the average rate of change of a function f(x) over an interval [a, b]. Specifically, [f(b) - f(a)] can be used to get the average rate of change (b - a). The average rate of change, represented by the symbol A(x), is, in other words, the "ratio of change in outputs to change in inputs." A(x) = (change in outputs), for example (change in inputs)

based on the available facts;

Detailed explanation:

A lake's water level dropped by -11/2 inches throughout the course of a 12-week dry period.

Total fall of water level = -11/2 inches = -5.5 inches

Time of fall = 12/3 week = 4 weeks

Average rate at which water level changed every week=Total fall of water level/Time of fall

=-5.5/4

=-1.375per inch every week

Average rate at which the water level changed every week = -1.375 inches

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Model be completed to represent 642/11 is 29.1818181818

[tex]\frac{642}{11}[/tex] = 58.3636363636

58.3636363636 = 583.636363636 to the nearest tenth

58.3636363636 = 58.36 to the nearest hundredth

58.3636363636 = 58.364 to the nearest thousandth

= 0 to the nearest tenth

= 0 to the nearest hundredth

= 0 to the nearest thousandth

Other Divisions Math homework are

642 divide by half plus 20

([tex]\frac{642}{2}[/tex]) + 20 = 341

642 divide by half plus 40

([tex]\frac{642}{2}[/tex]) + 40 = 361

[tex]\frac{642}{11}[/tex] divided by 2

([tex]\frac{642}{11}[/tex]) ÷ 2 = 29.1818181818

Division is  one among  the four basic operations of arithmetic, the  ways in which  numbers are combined to make new numbers.  the opposite  operations are addition, subtraction, and multiplication.

At an elementary level the division of two natural numbers is, among other possible interpretations,  the method  of calculating the number of times one number is contained within another.7  This number of times  needn't  be an integer.  for instance , if 20 apples are divided evenly between 4 people, everyone receives 5 apples (see picture).

The division with remainder or Euclidean division of two natural numbers provides an integer quotient, which  is that the  number of times the second number is completely contained in the first number, and a remainder, which  is that the  part of the first number that remains, when  within the  course of computing the quotient, no further full chunk of  the dimensions  of the second number can be allocated.  for instance , if 21 apples are divided between 4 people, everyone receives 5 apples again, and 1 apple remains.

For division to always yield one number  instead of  a quotient plus a remainder, the natural numbers must be extended to rational numbers or real numbers.

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Following are examples of the listlength() methods -

It counts the string characters.

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Wavelength is 0.00004 cm is the weather like for a violet light a large or small value and how do you know

The frequency of the violet light is [tex]7.495\times10^{14} s^{-1}[/tex].

Given that,

Wavelength λ=0.00004cm

First, we convert cm to nm

0.00004cm =400nm

These are connected by the equation in electromagnetic radiation (light):

c = λυ

where c refers to the speed of light value is 2.998 x [tex]10^{8}[/tex] m/s, λ refers to wavelength (m) and υ refers to frequency ([tex]s^{-1}[/tex]or Hz).

Now, c = λυ

2.998 x [tex]10^{8}[/tex] m/s=400[tex]\times[/tex][tex]10^{-9}[/tex]m[tex]\times\\[/tex]υ

υ=[tex]\frac{2.998\times10^{8} m/s}{400\times10^{-9}m }[/tex]

υ= [tex]7.495\times10^{14} s^{-1}[/tex]

Therefore, The frequency of the violet light is [tex]7.495\times10^{14} s^{-1}[/tex].

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A numerical method that you could use regardless of the number of the teams in the tournament to calculate the number of games in the first round is; (n − 1) + (n − 2) +…+ 1.

The first team will play with the other 7 teams.

Then the second team will play with the 6 other teams, as the game between the first and the second team has already been counted.

Similarly, the third team will play with 5 other teams, and so on. Thus, the

total number of games will be 7 + 6 + 5 + 4 + 3 + 2 + 1 = 28.

Therefore, in the first round there will be 28 games.

If there are 8 teams in the tournament, the number of games in the first round is (8 − 1) + (8 − 2) +…+ 1. Therefore, if there are n teams in the

tournament, the number of games in the first round is given by the sequence; (n − 1) + (n − 2) +…+ 1.

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Answer:

a = b(10-c)/5

Step-by-step explanation:

5a/b + c = 10

5a/b = 10-c

5a = b(10-c)

a = b(10-c)/5

Answer:

A limit on what? And what website

Step-by-step explanation:

Answer: 2(n +5) = 20

Step-by-step explanation:

Answer:

2(n+5)=20

Step-by-step explanation:

n+5 is the sum. Two times of the sum is 2*(n+5) which is 2(n+5). This is set to equal 20.

Answer:

C) 4 3/4

Step-by-step explanation:

19 divided by 4 doesn't divide equally.

4*5=20 X

4*4=16 YEP

19-16=3

So...

19 can be divided 4 whole times and you're left over with 3.

Thus, it's 4 3/4.

Hope this helps.