) Solve for x: –3(4x – 1) = –6(2x + 3)

Answer: 3xy2 and 8xy2

-3x2 and 1/2x2

X2y and 5x2y

Answer: Choice B) The plane is at least 20 times faster than the bird

========================================================

Explanation:

We'll divide the speed of the plane over the speed of the bird.

First divide each coefficient of the scientific value expressions:

7/3 = 2.33 approximately

Then divide the 10^n exponent expressions and we get

10^3 divide by 10^2 = 10^(3-2) = 10^1

So overall, the result of dividing the two speeds leads to approximately

2.33*10^1 = 2.33*10 = 23.3

This shows the plane is approximately 23.3 times faster compared to the bird. Saying "The plane is at least 20 times faster than the bird" is fairly close to the prior sentence, so the statement is valid. That's why choice B is the answer.

Choices A and C are saying similarly valid statements, just written in different formats. I think choice B is the best answer since it seems to be the most direct comparison that is fairly easy to grasp.

Answer:

Odd number: 13/25 (52%)

Multiples of 5: 5/25 (20%)

Step-by-step explanation:

There are 13 odd numbers between 1 and 25 so you have a 13/25 chance which is 52% (13/25 = 0.52). There are 5 multiples of 2 between 1 and 25 so you have a 5/25 chance which is 20% (5/25 = 0.2).

The probability of selecting an odd number or multiples of 5 is 3/5

"It is finding out the possibilities of the occurrence of an event."

"P(A) = n(A) / n(S)

where, n(A) is the number of favorable outcomes of an event A

n(S) is the total number of outcomes for an experiment"

For given question,

A number is chosen at random from 1 to 25.

n(S) = 25

Let event A: selecting odd number

⇒ A = {1 , 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25}

⇒ n(A) = 13

So, the probability of selecting odd number would be,

⇒ P(A) = n(A)/n(S)

⇒ P(A) = 13/25

Let event B: selecting a number which is multiple of 5

⇒ B ={5, 10, 15, 20, 25}

⇒ n(B) = 5

So, the probability of selecting a number which is multiple of 5 would be,

⇒ P(B) = n(B)/n(S)

⇒ P(B) = 5/25

Let (A ∩ B) represents the odd numbers which are multiple of 5

⇒  (A ∩ B) = {5, 15, 25}

⇒ n(A ∩ B) = 3

So, the probability of selecting odd numbers which are multiple of 5 would be,

⇒ P(A ∩ B) = n(A ∩ B)/n(S)

⇒ P(A ∩ B) = 3/25

So, the probability of selecting an odd number or multiples of 5 is,

⇒ P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

⇒ P(A ∪ B) = 13/25 + 5/25 - 3/25

⇒ P(A ∪ B) = 15/25

⇒ P(A ∪ B) = 3/5

Therefore, the probability of selecting an odd number or multiples of 5 is 3/5

Learn more about the probability here:

brainly.com/question/11234923

#SPJ2

[tex] \frac{2x}{5} + \frac{5}{8} = \frac{1}{4} [/tex]

[tex] \frac{2x}{5} = \frac{1}{4} - \frac{5}{8} [/tex]

[tex] \frac{2x}{5} = \frac{2}{8} - \frac{5}{8} [/tex]

[tex] \frac{2x}{5} = \frac{2 - 5}{8} [/tex]

[tex] \frac{2x}{5} = \frac{ - 3}{8} [/tex]

[tex]2x = \frac{ - 3}{8} \times 5[/tex]

[tex]2x = \frac{ - 15}{8} [/tex]

[tex]x = \frac{ - 15}{8} \div 2[/tex]

[tex] x = \frac{ - 15}{8} \times \frac{1}{2} [/tex]

[tex]x = - \frac{ 15}{16} [/tex]

Answer:

It's C

Step-by-step explanation:

Multiply the length by the width and you are going to do that by multiplying 4x by 2x and 4 and also multiply -6 by 2x and 4. and then you simplify and you should get the equation C

Answer: Give me one moment i will comment on my post with the answer.

Step-by-step explanation:

Answer:

Conver the sales tax to a decimal and ad it to 1, then multiple that total to the price of the item. Please mark as breinlest

Answer:

just multiply the tax percent to the cost of the product and move the decimal, or you can use a percent calculator

Answer:

13.50

8.50

.50

.50

.50

+ .50

.50

.50

.50

.50

.50

.50

__________

13.50

it increased 5$

Answer:

look it up on tiger algerbra

Step-by-step explanation:

Answer:

3 TIMES 2 DONT EQUAL 7

Step-by-step explanation:

Answer:

Ture

Step-by-step explanation:

Step-by-step explanation:

Let breadth =x

Length=5x-3

As we know that in a rectangle

[tex]\boxed{\sf Area=lb}[/tex]

[tex]{:}\hookrightarrow\sf x (5x-3)=14 [/tex]

[tex]{:}\hookrightarrow\sf 5x^2-3x=14[/tex]

[tex]{:}\hookrightarrow\sf 5x^2-3x-14=0 [/tex]

[tex]{:}\hookrightarrow\sf 5x^2-10x+7x-14=0 [/tex]

[tex]{:}\hookrightarrow\sf 5x (x-2)+7 (x-2)=0[/tex]

[tex]{:}\hookrightarrow\sf (x-2)(5x+7)=0 [/tex]

[tex]{:}\hookrightarrow\sf x-2=0\quad or\quad 5x+7=0 [/tex]

[tex]{:}\hookrightarrow\sf x=2\:or\:x=\dfrac {-7}{5}[/tex]

[tex]{:}\hookrightarrow\sf Breadth =2cm[/tex]

[tex]{:}\hookrightarrow\sf Length=5 (2)-3=10-3=7cm[/tex]

Answer:

-5.875

Step-by-step explanation:

Answer:

Slope = -2

Step-by-step explanation:

Since, slope = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

Rise = -(y-intercept)

Run = (x-intercept)

From the graph attached,

y - intercept = -(4) = -4

x - intercept = 2

Therefore, slope the line given in the graph attached will be,

Slope = [tex]\frac{-4}{2}[/tex] = -2

Slope = -2

Answer:

10n+10

Step-by-step explanation:

7n-7n+5n2+10

5n2+10

5n*2+10

10n+10

Hope this helps :D

#Team Rainbows

Answer:

  ∠B ≈ 50.9°

Step-by-step explanation:

The area formula for a triangle can be used to find the missing angle.

We don't want confusion between A for area and angle A, so we define Q as the area of the triangle with sides a, c, and included angle B. In this scenario, 'a' represents side BC (opposite angle A), and 'c' represents side AB (opposite angle C).

  Q = (1/2)ac·sin(B)

Solving for B, we have ...

  2Q/(ac) = sin(B)

  B = arcsin(2Q/(ac)

  B = arcsin(2(64)/(11(15)) = arcsin(128/165)

  ∠B ≈ 50.9°

Answer:

75

Step-by-step explanation:

3 divide by 40= 0.0075

0.0075 times 1000= 75

Answer:

b 8 hours

Step-by-step explanation:

1/4 is 2 so 2/4 is 4 and we know 3/4 is 6 so 4/4 is 8 which is the answer

Answer:

The values of p = 0 < p ≤ 2/3

Step-by-step explanation:

First we write the probability of 6V flashlight working representing it as a binomial mass function of a binomial random variable

P ( 6v flashlight working  ) = P ( at least one 6V battery works )

                                           = P ( 1 6v battery work )  + P ( 2  6v battery work )

                                           = b( 2; 2, p ) + b( 1; 2, p )

write out a formula of  b( 2; 2, p ) + b( 1; 2, p )

P ( 6v flashlight working  )  = p^2 + 2p( 1 - p )

Next we write the probability of D flashlight working representing it as a binomial mass function of a binomial random variable

P ( D flashlight works ) = p ( at least two D batteries works )

                                     = b( 4; 4, p ) + b(3;4, p ) + b(2; 4, p )

write out a formula of  b( 4; 4, p ) + b(3;4, p ) + b(2; 4, p )

P ( D flashlight works ) = [tex]P^4 + 4p^3 ( 1- p ) + 6p^2 ( 1- p)^2[/tex]

attached below is the remaining solution

Answer:

Step-by-step explanation:

Answer:

-24.35, -7.96, 11.20

Step-by-step explanation:

Negative numbers are worth way less than positive numbers. In order to solve, the biggest looking negative number is worth less.

Positive is bigger

Negative is smaller

*EXTRA*

negative plus negative = positive

negative plus positive = negative

negative times negative = positive

negative times positive = negative

Hopefully you will understand!

Answer:

The violent crime rate for this Southern state with an urbanization of 55.4 and a poverty rate of 13.7 is predicted to be:

7.6%.

Step-by-step explanation:

a) Data and Calculations:

Urbanization rate = 55.4%

Poverty rate = 13.7%

The predicted violent crime rate = urbanization rate * poverty rate

= 55.4% * 13.7%

= 7.5898%

= 7.6%

b) The prediction of violent crime rate follows some established researches that show that crime rates are higher in urban than rural areas.  There is also a dynamic link between poverty, unemployment, and crime rate.  Unemployment is usually high in more urbanized areas.  As a result, unemployment increases poverty, and poverty reinforces the commission of crimes.

Answer:

7/1

Step-by-step explanation:

x would be 102° . hope it helps

Answer:

Step-by-step explanation:

cant remember what this method is called but

change the second equation to be y = something

x + y = 10

y = -x + 10

plug in this y= in the first equation to get x

4x -2(-x + 10) = 4

4x + 2x -20 = 4

6x = 24

x = 4

then plug in the x we found into the original second equation

4 + y = 10

y = 6

so your ordered pair would be (4,6)

hope this helps <3

Answer:

x=-7/2

Step-by-step explanation:

Answer:

x = -7/2 or -3.5

Step-by-step explanation:

7x - 2 = 9x + 5

Add 2 to both sides

7x = 9x + 7

Subtract 9x from both sides

-2x = 7

Divide both sides by -2

x = -7/2

x = -3.5

Answer:

Instructions are below.

Step-by-step explanation:

To calculate the final amount of a given substance, we need to use the following formula:

final amount= initial amount / (2^n)

n= elapsed time / half-life

For 20 years:

n= 20/10= 2

Final amount= 200/(2^2)

Final amount= 50 grams

For 60 years:

n= 60/10= 6

Final amount= 200/ (2^6)

Final amount= 3.125 grams

To calculate the elapsed time it is more complicated:

elapsed time= ln(ending amount/beginning amount) / (-decay constant)

ln= natural logarithm

decay constant= ln(2) / half-life

decay constant= 0.0693

elapsed time= ln(1.03/200) / (-0.0693)

elapsed time= 76.028

Prove:

n= 76.02/10= 7.602

Final amount= 200/(2^7.602)= 1.03 grams

Answer: 4.7 ft

Step-by-step explanation:

Since this is a diameter we are going to do the formula that uses the diameter to find the circumference.

C=3.14(d)

1.) Insert the numbers into the formula: C= 3.14*1.5

You’ll get 4.71 as your answer.

Next round to the nearest tenth and you’ll get 4.7.

Hope this helps!

Answer:

-72/3+51/2+83/2=89/4

Step-by-step explanation:

Answer:

[tex]\frac{5}{6}[/tex]

Step-by-step explanation:

Given parameters

Percentage of all teachers the works in summer  = 85%

Number of teachers sampled  = 6 teachers

Unknown:

The probability that they all work in summer  = ?

Solution:

Now, to solve this problem, let us find the number of teachers that works in summer from the given size;

    Number of teachers = 85% x 6  = 5.1;

  Since it is not possible to have 5.1 people, the number of teachers will be 5

The probability  = [tex]\frac{5}{6}[/tex]