D is between Cand E. CE = 8x + 5.
CD = 4x + 1. DE = 6x. Find the length
of CE.
E
C с
D

Answer:

Step-by-step explanation:

hello :

14x=12

x=12/14

x=6/7

Answer:

add 4 to both sides

Step-by-step explanation:

a-4+4=10+4

a=14

If 60 percent represents the 48 students , then the total number of student is 80

Percentages are essentially fractions where the denominator is 100. To show that a number is a percent, we use the percent symbol (%) beside the number. For example, if you got 75 questions right out of 100 on a test (75/100), you would have scored 75%.

Represent the total number of students by x;

therefore, 60/100 × x = 48

= 60x/100 = 48

60x = 4800

divide both sides by 60

x = 4800/60

x= 80

therefore the total number of students in the math fair is 80

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Answer:

[tex]P(x = 1) = 0.3970[/tex]

[tex]P(x = 2) = 0.1307[/tex]

[tex]P(x = 3) = 0.0191[/tex]

[tex]P(x = 4) = 0.0011[/tex]

Step-by-step explanation:

Given

[tex]n =4[/tex]

[tex]p = 0.18[/tex]

Required

(a) - (d)

x | P(x)

0 | 0.452

1 |

2 |

3 |

4 |

To solve (a) to (d), we simply apply the following binomial probability formula

[tex]P(x) = ^nC_xp^x(1-p)^{n-x}[/tex]

Solving (a):

[tex]x = 1[/tex]

So, we have:

[tex]P(x = 1) = ^4C_1 * (0.18)^1 * (1-0.18)^{4-1}[/tex]

[tex]P(x = 1) = ^4C_1 * (0.18)^1 * (1-0.18)^{4-1}[/tex]

[tex]P(x = 1) = 4 * (0.18)^1 * (1-0.18)^3[/tex]

[tex]P(x = 1) = 0.3970[/tex]

Solving (b):

[tex]x = 2[/tex]

So, we have:

[tex]P(x = 2) = ^4C_2 * (0.18)^2 * (1-0.18)^{4-2}[/tex]

[tex]P(x = 2) = 6 * (0.18)^2 * (1-0.18)^2[/tex]

[tex]P(x = 2) = 0.1307[/tex]

Solving (c):

[tex]x = 3[/tex]

So, we have:

[tex]P(x = 3) = ^4C_3 * (0.18)^3 * (1-0.18)^{4-3}[/tex]

[tex]P(x = 3) = 4 * (0.18)^3 * (1-0.18)^1[/tex]

[tex]P(x = 3) = 0.0191[/tex]

Solving (d)

[tex]x = 4[/tex]

So, we have:

[tex]P(x = 4) = ^4C_4 * (0.18)^4 * (1 - 0.18)^{4-4}[/tex]

[tex]P(x = 4) = 1 * (0.18)^4 * (1 - 0.18)^0[/tex]

[tex]P(x = 4) = 0.0011[/tex]

Answer:

After one year Kenny will have $520.

Step-by-step explanation:

Answer:

$520

Step-by-step explanation:

500(0.04) = kenny's annual interest rate return= 20

500+20= total dollars kenny has in a year

Answer:

24

Step-by-step explanation:

20           x

----    =    ----

25          30

Cross Multiply (20, 30 and 25, x)

25x = 600

Divide both sides by 25

x = 24

Answer:

c-270

Step-by-step explanation:

To rotate counterclockwise on a coordinate graph, 90 degrees would put you in quadrant I, so you continue 90 degree rotations until you get to quadrant III.

Hope this helps :)

Answer:

1/3 of the pumpkin pie

Step-by-step explanation:

2 pies can equal 6 pieces, 3 pieces a pie

If their are 6 friends and 3 pieces a pie then then they will have a 1/3 of the pie each

1/3 times 6 equals  6/3, which equals 2 pies

Therefore, the mistake Kiara made was to take the absolute value of the slope instead of correctly identifying the slope as a negative value.

An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides separated by an equal sign (=). The expressions on both sides of the equal sign can contain variables, constants, coefficients, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, logarithms, etc. Equations can have different types of solutions, including real solutions, complex solutions, and no solutions. Equations can be used to model a wide range of mathematical and scientific problems, and they are an essential tool for problem-solving in many fields.

Here,

The equation 28x - y = -20 is in the form of the standard linear equation Ax + By = C, where A, B, and C are constants, and x and y are variables.

To find the slope of a line from an equation in this form, we need to rearrange the equation into slope-intercept form, which has the form y =mx + b, where m is the slope of the line, and b is the y-intercept.

To do this, we need to isolate y on one side of the equation:

28x - y = -20

-y = -28x - 20

y = 28x + 20

Now we can see that the equation is in slope-intercept form, with a slope of 28, not -28 as Kiara thought.

Kiara made a mistake in identifying the slope of the line.

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Answer:

(x + 5)(x - 7)

Step-by-step explanation:

x² - 2x - 35

Now we need to find two numbers whose product will be 35 and sum or difference will be 2. They are 7 and 5.

7 x 5 =35

7 - 5 = 2

So

= x² + 5x - 7x - 35

Taking x common from 1st two terms and -7 from last two.

= x(x + 5) - 7(x + 5)

Taking (x + 5) common

= ( x + 5)(x - 7)

The trinomial x² - 2x - 35 can be factored into the product of two binomials, (x - 7) and (x + 5).

Factorization, also known as factoring, is the breakdown of one element into a product of other objects, or factors, which when multiplied together generate the original. For example, the number 21 factors into primes as 3 × 7, and the polynomial x² − 9 factors as (x+3)(x-3).

The trinomial is given in the question, as follows:

x²- 2x - 35

The trinomial x² - 2x - 35 can be factored as (x - 7)(x + 5). To see this, we can find two numbers that multiply to -35 and add up to -2. These numbers are -7 and 5.

To factor the trinomial, we write:

x² - 2x - 35 = (x - 7)(x + 5)

So, the trinomial x² - 2x - 35 can be factored into the product of two binomials, (x - 7) and (x + 5).

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Answer:

Steps to find LCM

Find the prime factorization of 150

150 = 2 × 3 × 5 × 5

Find the prime factorization of 225

225 = 3 × 3 × 5 × 5

Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:

LCM = 2 × 3 × 3 × 5 × 5

LCM = 450

HCF of 150 and 225 by Prime Factorization

HCF of 150 and 225 by Listing the Common Factors

Method 1: Find HCF of 150 and 225 by Prime Factorization

Represent 8 and 14 as a product of its prime factors.

Prime factorization of 150 is 2 × 3 × 5 × 5

Prime factorization of 225 is 3 × 3 × 5 × 5

The common factor in the prime factorization of 150 and 225 are 3, 5, and 5.

HCF is the product of the factors that are common to each of the given numbers.

So, HCF of 150 and 225 is 3 × 5 × 5 = 75

Method 2: Find HCF of 150 and 225 by Listing the Common Factors

The factors of 150 and 225 are shown below.

Step-by-step explanation:

Hope it is helpful.....

Answer:

x = 16

Step-by-step explanation:

vertical angles are equal

3x = 2x+16

x = 16

Answer: x = 16

Step-by-step explanation:

Since they are vertical angles, we can set them up equal to each other:

3x = 2x + 16

Now, we simply solve for x by subtracting 2x on both sides of the equation.

3x = 2x + 16

x = 16

Hello!

If y varies jointly with x and z, it'll mean that x and z are being multiplied by a factor "k", to equal y.

To give you a visual, this is what I mean.

[tex]y=kxz[/tex]

That means we'll want to find [tex]k[/tex] with the first point we're given: [tex](2,20,5)[/tex]

[tex]20=k(2)(5)[/tex]

[tex]20=10k[/tex]

[tex]k=2[/tex]

Which means our equation is:

[tex]y=2xz[/tex]

Now, let's plug in the [tex]x[/tex] and [tex]z[/tex] from the other point to find [tex]y[/tex].

[tex]y=2(3)(6)[/tex]

[tex]y=36[/tex]

Hope this helps!

Answer:

Hello!

If y varies jointly with x and z, it'll mean that x and z are being multiplied by a factor "k", to equal y.

To give you a visual, this is what I mean.

That means we'll want to find  with the first point we're given:

Which means our equation is:

Now, let's plug in the  and  from the other point to find .

Step-by-step explanation:

Jawaban:

Penjelasan dengan langkah-langkah:

Sumbu y = Frekuensi = berapa banyak pekerjaan

Sumbu x = Jenis Pekerjaan = pekerjaan nomor n

(maka)

Ada

2 buah pekerjaan nomor 1 = 11

4 buah pekerjaan nomor 2 = 2222

6 buah pekerjaan nomor 3 = 333333

3 buah pekerjaan nomor 4 = 444

1 buah pekerjaan nomor 5 = 5

maka hasilnya

_____________

#Jenius - kexcvi

Nyasar soalnya brainly di indo lagi mode ujian haha

Answer:

53 degrees

Step-by-step explanation:

If r is 25 and s is 102, and if there are 180 degrees in a triangle, then you can just add to get 53.

Answer:

53

Step-by-step explanation:

Hello There!

So in this problem they give us two angles of a triangle and want us to find the missing angle

Remember the sum of all of the angles in a triangle is 180

So to find the missing angle we subtract the given angles from 180

180-25-102=53

so we can conclude that the answer is 53

Answer: curve 60 angle 90

Step-by-step explanation:

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Surface Areas and Volumes.

We know that , Volume of the cylinder = πr^2h

here, r = 5 units and h = 6 units,

hence we substitute it,

==> Volume = 3.14*(5)^2*(6)

==> Volume = 3.14*25*6

==> Volume = 471 units^3

Hence the volume of cylinder is 471 cubic units.

Answer: A

Step-by-step explanation: Took the test |

                                                                     \/

The quadratic equation that best fits this data would be A.

[tex]y=-56.80x^2+437.91x-65.5[/tex]

Suppose that we've a function y = f(x) such that f(x) is quadratic.

When y = 0, then the values of x for which f(x) = 0 is called solution of quadratic equation f(x) = 0

This solution gives values of x, and when we plot x and f(x), we'd see that the graph intersects the x-axis at its solution points.

The given data is follows as;

x y

1 350

2 539

3 678

4 875

5 690

6 502

The quadratic equation that best fits this data

A. [tex]y=-56.80x^2+437.91x-65.5[/tex]

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no puedo ver el problema

Answer:

it has to be b I don't know for sure tho

Answer:

A. So assuming we are dealing with displacement

20 + 16 = 32 m

B. 20 - 16 = 4m

C. 5 - 16 = - 11m

D. - 9 + 11 = 2m

E. - 9 - 11 = - 20m

Answer:

28.57142857 %

Step-by-step explanation:

Convert the fraction to a decimal, then multiply by  100 .

28.57142857 %

Answer:

[tex]28.571429\%[/tex]

Step-by-step explanation:

1) To convert the fraction to a decimal, divide the numerator by the denominator.

[tex]2 \div 7[/tex]

2) Use long division.

[tex]0.285714[/tex]

3) To convert to a percent, multiply the decimal by 100.

[tex]0.285714 \times 100 = 28 .571429[/tex]

4) Add the percent sing.

[tex]28.571429\%[/tex]

Therefor, the answer is 28.571429%.

Answer:

The value of x = 27

Step-by-step explanation:

Given:

48x² : 64x⁴ ::: x : 36x²

Find:

The value of x

Computation:

(a)(d) = (b)(c)

(48x²)(36x²) = (64x⁴)(x)

(1,728x⁴) = (64x⁵)

x = 27

The value of x = 27

Following are the solution to the given expression:

Given:

[tex]\to 48x^2 : 64x^4 :: x : 36x^2[/tex]

To Find:

x=?

Solution:  

[tex]\to 48x^2 : 64x^4 :: x : 36x^2[/tex]

[tex]\to \frac{48x^2}{ 64x^4} =\frac{ x}{ 36x^2}\\\\[/tex]

cross multiply:

[tex]\to \frac{48x^2 \times 36x^2}{ 64x^4} =x\\\\\to x= \frac{48x^2 \times 36x^2}{ 64x^4} \\\\\to x= \frac{48 \times 36}{ 64} \\\\\to x= \frac{6 \times 9}{ 2} \\\\\to x= 3 \times 9\\\\\to x=27[/tex]

Therefore, the answer is "27".

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Answer:

12 is the width

Step-by-step explanation:

1. To solve this problem we must first set up an equation:

96a=8l ×?w

2. this is what this equation means 96(area) equals 8(length) times what(width)

3. so we must find out what we must multiply by 8 to get 96

4. to do this we will divide 96 by 8

which equals 12!

Answer:

6 units

Step-by-step explanation:

A translation is a rigid body motion, meaning that it is a type of transformation that doesn't change the length of any sides, or it is the same as the original image. Since A'C' corresponds to AC, it must be 6 units as AC is 6 units.

Answer: 6 units

Step-by-step explanation:

Answer:

Customer will pay $24 for a dress.

Step-by-step explanation:

Marked price of clothing in a shop = $30

Discount on the clothing = 20% off the marked price

Selling price of the clothing = Original price - discount

                                              = $30 - (20% of $30)

                                              = $30 - [tex](\frac{20}{100}\times 30)[/tex]

                                              = $30 - $6

                                              = $24

Therefore, customer will pay $24 for a dress.