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Answer:

[tex]\mathrm{The\:three\: integers\: are\: 11, 12, \: and\:13.}[/tex]

Step-by-step explanation:

We can set up the following equation with the information given:

[tex](x-1)+x+(x+1)=4x-12[/tex], where [tex]x[/tex] is the middle integer.

Solving, we get:

[tex]3x=4x-12, \\-x=-12,\\x=\fbox{12}[/tex].

The three consecutive integers which are 12 less than 4 times the middle integer are 11, 12, and 13.

Integers consist of whole numbers and negative numbers on a number line. For e.g -17, 2, 0, etc. are integers.

Consecutive integers mean integers that come one after another in the number line like 1, 2, 3 or 10, 11, 12, etc.

So if we have to form an equation for three consecutive numbers, it will,

(x-1), x, (x+1),

Now, according to the question,

(x-1) + x + (x+1) =  4x -12

Solve the equation,

3x = 4x -12

x = 12

Hence, first integer = 12 -1 = 11,

Second integer = 12,

Third integer = 12+1 = 13.

Therefore, the three consecutive integers which are 12 less than 4 times the middle integer are 11, 12, and 13.

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Answer:

52

Step-by-step explanation:

2w - 78 = w - 26 ( being opposite sides of parallelogram)

2w - w = 78 - 26

w = 52

Hope it will help :)

Answer:

hope this hlp u

Step-by-step explanation:

the last one shows the radius

Answer:

figure 4 shows the radius

Answer: 48

Step-by-step explanation:

Answer:

b) 54 minutes ( week 6 )

Answer:

The answer is,

[tex]x = \frac{4 + \sqrt{19} }{6}, \frac{4 - \sqrt{19} }{3} [/tex]

Answer:

Ratio of cost of a pen to cost of a ball pen is 15:7

Step-by-step explanation:

Given that:

Cost of dozen pens = ₹180

Unit rate = [tex]\frac{180}{12}[/tex]

Unit rate = ₹ 15 per pen

Cost of 8 ball pens = ₹ 56

Unit rate = [tex]\frac{56}{8}[/tex]

Unit rate = ₹7 per ball pen

Ratio of cost of a pen to cost of a ball pen,

15 : 7

Hence,

Ratio of cost of a pen to cost of a ball pen is 15:7

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Original price of the music box = $80

Price after 20% discount = Original price - discount

                                         = 80 - 20% of 80

                                         = 80 - [tex](\frac{20}{100}\times 80)[/tex]

                                         = 80 - 16

                                         = $64

Price after 40% discount = 80 - 40% of $80

                                         = 80 - 32

                                         = $48

Original price of A faux Ming vase = $60

Price after 20% discount = Original price - discount

                                         = 60 - 20% of $60

                                         = 60 - 12                                    

                                         = $48

Price after 40% discount = Original price - discount

                                         = 60 - 40% of 60

                                         = 60 - 24

                                         = $36

Answer:

54 minutes

Step-by-step explanation:

Hope I helped!

I can almost guarantee this answer is correct.

Have a nice day!

Answer:

54 minutes

Step-by-step explanation:

Every 3 minutes she reads 1

18x3=54

Hope it helps

Answer:

3 with a few left over so 4

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

3 * 40 = 120

Answer:

60

Step-by-step explanation:

Simply multiply to find your answer:

Answer = 600 x 1/10

Simplify. Divide:

600 x 1/10 = 600/10 = 60

60 is your answer.

~

Answer:

[tex] \frac{1}{10} th \: of \: the \: value \: 600 \\ \frac{1}{10} \times 600 \\ 60 \: is \: the \: required \: number.[/tex]

Answertrkbjvncdmxs

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Step-by-step explanation:

Answer:d

Step-by-step explanation:

Both aren’t related But they do have some impact on eachother

Answer:

False

Step-by-step explanation:

Khan Academy

The given statement is False.

'In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution.'

According to the given problem,

Median = 6

Total count = 11

Range = 0

Now, range is the difference between the highest value and the lowest value.

Since, the median is 6, the highest number must be greater than 6. This would not have been possible if the lowest value was 0. If the lowest count had been 0, then the highest count had to be 4.
Hence, we can conclude, the fewest cars sold cannot be 0.

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Answer:

0

Step-by-step explanation:

7-7 over -4-10

That is 0/-14, which simplifies to 0

Answer:

2 dollars

Step-by-step explanation:

24-10=14

7 pencils cost 14 dollars

1 pencil costs 2 dollars

please give me brainliest!!

Answer:

95

Step-by-step explanation:

Ok so

so firs what we do is

1150/12 and ignore remainder

95 and remainder is 10

therefore we have 95 trucks full and 10 cars in the last truck

Hello!

We can graph by finding critical points - intersections, y-intercepts, x-intercepts.

Find the intersection point by setting the two equations equal to each other:

-4x + 3 = x - 2

Subtract x from both sides:

-5x + 3 = - 2

Subtract 3 from both sides:

-5x = -5

Divide both sides by -5:

-5x/(-5) = -5/(-5)

x = 1

Find the y-value of intersection by plugging in x = 1 into an equation:

y = 1 - 2 = -1

Intersection at (1, -1)

Find the x and y intercepts of each equation:

y = -4x + 3

Set x to 0 to find the y-intercept:

y = -4(0) + 3 = 3

Set y to 0 to find the x-intercept:

0 = -4x + 3

-3 = -4x

x = 3/4

Therefore, this equation has a y-intercept at (0, 3) and and x-intercept at (3/4, 0).

y = x - 2

Set x to 0 to find the y-intercept:

y = 0 - 2 = -2

Set y to 0 to find the x-intercept:

0 = x - 2

x = 2

Therefore, this equation has a y-intercept at (0, -2) and and x-intercept at (2, 0).

Graph the two equations with the solved critical points:

y = -4x + 3

--> (1, -1)

--> (0, 3)

--> (3/4, 0)

y = x - 2

--> (1, -1)

--> (0, -2)

--> (2, 0)

**Graphed below**

Answer:

X=7

Step-by-step explanation:

So first add them all up

x-2+2x+x+3=4x+1

4x+1=29

4x=28

x=7

Answer:

33.8

Step-by-step explanation:

use long division

Answer:

33.8

Step-by-step explanation:

top in bottom out

5[tex]\sqrt{169\\}[/tex]

5 goes into 16 3 times therefore leaving you with 1. bring the 9 down next to the 1 and you have 19. 5 goes into 19 3 times so its 19-15=4 then you bring a zero next to the 4 and you get 40. 5 goes into 40 8times therefore leaving you with 33.8

Hoped this made sense :)

Answer:

a. 66.8%

b. 0.855

Step-by-step explanation:

In a recent survey in a Statistics class,

Percentage of students that attended class on Friday = 60%

Percentage of students that did not attend class on Friday = 100 - 60% = 40%

Percentage of those who went to class on Fridays and passed the course = 98%

Percentage of those who did not go to class on Fridays and passed the course = 20%

a. What percentage of students is expected to pass the course?

This is calculated as:

= 60% × 98% + 40% × 20%

= 0.668

Converting to percentage

= 0.668 × 100

= 66.8%

b. Given that a person passes the course, what is the probability that he/she attended classes on Fridays?

We solve using Baye's Theorem

= [60 × 98%]/[60% × 98% + 40% × 20%]

= 0.588 /0.688

= 0.8546511628

Approximately = 0.855

Part(a): The required pass percentage is 66.8%

Part(b) The required probability is [tex]P(Friday/Pass)=0.8802[/tex]

Given that,

P(Friday) = 0.60, P(No Friday) = 0.40

[tex]P(Pass/Friday)=0.98\\P(Pass/No Friday)=0.98\\[/tex]

Part(a): The percentage of students expected to pass the course is 0.668.

[tex]P(Pass)=P(Friday)\times P(Pass/Friday)+P(No friday)\times P(Pass/No Friday)\\=0.60\times 0.98+0.40\times 0.20\\=0.588+0.08\\P(Pass)=0.668[/tex]

Part(b):

The probability that he/she attended classes on Fridays is 0.8802

[tex]P(Friday/Pass)=\frac{P(friday)\times P(Pass/Friday)}{P(Friday\times P(pass/Friday+P(No friday)\times P(pass/No friday)}\\=\frac{0.60\times 0.98}{0.60\times 0.98+0.40\times 0.20} \\=0.8802[/tex]

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Answer:

Explained below

Step-by-step explanation:

A rational number is one that can be expressed in form a of a fraction whereby both the numerator and the denominator are integers.

Also, if it results in a recurring decimal it is still a rational number but if the decimal is not recurring, then it is not a rational number.

Now, for example let's consider the number 5.

It is a rational number because it can be expressed as; 5/1; 10/2; 20/4; -5/-1 e.t.c

Now, the opposite of these fractions like we are told to check in the question results in;

1/5; 2/10; 4/20; -1/-5;

The opposite will give us still a rational number because both numerator and denominator are still integers and also the value of the division is 0.2 which is a definite decimal and also can be expressed as an integer.

Answer: Attach the file with youre work and if it says sorry someone else is working on this post another question

Step-by-step explanation:

Answer: y - 4x = 9 in standard form is -y + 4x = -9

Answer:

-3

Step-by-step explanation:

because it says difference and differences means subtract so -20-(-17)=-3

Answer:

After 10 years, the population of the town will be of 5905.

After 50 years, the population of the town will be of 11487.

Step-by-step explanation:

The population of the town after x years is given by the following equation:

[tex]P(x) = 5000(1.181)^{0.1x}[/tex]

After 10 years, the population of the town will be of:

This is P(10). So

[tex]P(10) = 5000(1.181)^{0.1*10} = 5000(1.181)^1 = 5905[/tex]

After 10 years, the population of the town will be of 5905.

After 50 years, the population of the town will be of:

This is P(50). So

[tex]P(50) = 5000(1.181)^{0.1*50} = 5000(1.181)^5 = 11487[/tex]

After 50 years, the population of the town will be of 11487.