Sum of three consecutive odd integers is 57. What are the three consecutive even numbers? Write an equation.

Step-by-step explanation:

x1, x2, x3, x4, x5

(x1 + x2 + x3 + x4 + x5)/5 = 4

x5 - x1 = 6

x3 = 3

2 appears more often than any other number (at least twice), otherwise there would have been multiple modes.

x1 + x2 + x3 + x4 + x5 = 4×5 = 20

x3 = 3

x1 + x2 + 3 + x4 + x5 = 20

x1 + x2 + x4 + x5 = 17

x5 = x1 + 6

x1 + x2 + x4 + x1 + 6 = 17

2×x1 + x2 + x4 = 11

since we did not have the number 2 yet (and we made x5 the harvest number, which has to be larger than 2), and it has to appear at least twice.

so, two numbers out of x1, x2, x3 must be 2. not all three of them can be 2, because 2×2 + 2 + 2 = 8 and not 11 as the last equation demands.

we have therefore 2 different solutions, as either

x1 and x2, or x2 and x4 can be 2.

x1 and x4 is the same solution per the last equation as x1 and x2 (as the variables are interchangeable for the number assignment, only x1 is different, because it has an additional factor in the last equation).

solution 1 (x1 and x2 are 2) :

2×2 + 2 + x4 = 11

4 + 2 + x4 = 11

6 + x4 = 11

x4 = 5

so,

x1 = 2,

x2 = 2,

x3 = 3

x4 = 5

x5 = x1 + 6 = 2 + 6 = 8

solution 2 (x2 and x4 are 2) :

2×x1 + 2 + 2 = 11

2×x1 + 4 = 11

2×x1 = 7

x1 = 7/2

so,

x1 = 7/2

x2 = 2

x3 = 3

x4 = 2

x5 = x1 + 6 = 7/2 + 12/2 = 19/2

m = (Y2 - Y1)/(X2 - X1)

m = (-5 - 3)/(-3 - 1)

m = -8/-4

m = 2

Answer:

So first you can find a common denominator to make this equation solvable

in this case 4 is the common denominator

2/4+y=5 1/4

Now subtract to isolate the variable (y)

4 3/4 =y

Answer:

69

Step-by-step explanation:

8's     8's+5                 11's     11's+3

8         13                    11          14

16        21                   22         25

24       29                  33          36

32       37                  44          47

40       45                  55          58

48        53                  66         69

56        61                   

64        69

Answer:

AB = 23.6

BC = 18.5

CD = 23.6

DA = 18.5

Step-by-step explanation:

4.

Both sets of opposite sides are parallel, so this is a parallelogram.

In parallelogram ABCD:

AB≅CD

AD≅BC

Knowing that, you can write 2 equations with the given information:

[tex]2a-20.4=a+1.6\\a-3.5=18.5[/tex]

You can solve whichever one you want, but I'll do both to be sure.

[tex]2a-20.4=a+1.6\\2a=a+1.6+20.4\\2a-a=1.6+20.4\\a=22[/tex]

Now for the second one:

[tex]a-3.5=18.5\\a=18.5+3.5\\a=22[/tex]

a = 22, so now you can solve for the side lengths.

[tex]2(22)-20.4=23.6\\22-3.5=18.5\\22+1.6=23.6\\18.5=18.5[/tex]

The confidence interval is between (48.2%, 57.7%)

Using the proportion formula expressed as:

[tex]CI=p\pm z\cdot \sqrt{\frac{p(1-p)}{n} }[/tex]

Get the proportion:

p = 320/600 = 0.53

[tex]z=\frac{x- \mu}{\sigma}[/tex]

[tex]z = \frac{320-240}{47}\\z=\frac{80}{47}\\z= 1.70[/tex]

Substitute into the formula to get the confidence interval to have:

[tex]CI=0.53\pm 1.7\cdot \sqrt{\frac{0.47}{600}}\\CI = 0.53\pm 0.04757\\CI = (0.53-0.04757, 0.53+0.04757)\\CI = (0.482, 0.577)[/tex]

Hence the confidence interval is between (48.2%, 57.7%)

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Answer:

RS = XY

Step-by-step explanation:

Corresponding sides will be equal. So

RS = XY

The equation that can be used to determine the original length of the pool is 205.85 = 11.6(l + 3.7)

Let l be the original length of the pool.

Since the length of the pool is increased by 3.7 m, the new length L = l + 3.7.

Also, the area of the pool A = 205.85 square meter and it is a rectangle with width, W = 11.6 meters,

So, A = LW

Substituting the values of the variables into the equation, we have

A = LW

205.85 = (l + 3.7)11.6

So, the equation that can be used to determine the original length of the pool is 205.85 = 11.6(l + 3.7)

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Answer:

Step-by-step explanation

205.85=11.6(l+3.7)

Answer:Measure length of each wall including doors and windows. Find the total square feet of the wall(s) by multiplying ceiling height by total wall length.

Step-by-step explanation:

The required area that is to be painted is given as   150 square feet.

Given that,
A wall that is 12 feet high and 15 feet wide is to be painted, but the wall has two rectangular windows (which should not be painted). each window is 3 feet by 5 feet,

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Area of the wall = 12 × 15 = 180 square feet
Area of the two windows, = 2 × 3 × 5 = 30 square feet
Area to be painteded = 180 - 30 = 150 square feet,

Thus, the required area that is to be painted is given as   150 square feet.

Learn more about simplification here:

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#SPJ2

Answer:

  19 cups

Step-by-step explanation:

Let c represent the number of cups of tea. The total cost will be ...

  10c +3(45) ≤ 332

  10c ≤ 197 . . . . . . . . . . . subtract 135

  c ≤ 19.7

Bidula can buy up to 19 cups of tea with ₹332.

Answer:

9×y

Step-by-step explanation:

the

answer

of

the

given

is 9y

Answer:

My man Zachary is right!

Step-by-step explanation:

The rule is so very simple!

Whenever a negative, anywhere in the equation multiples to another negative, it is always a positive!

Whenever a positive number multiples to a negative number anywhere in the equation, it is always a negative number!

So Negative*Negative is Positive (-10 x -10 = 100)

And Positive*Negative is always negative (-10 x 10 = -100)

And we both know that Positive times positive is positive. (10 x 10 = 100)

Answer:

The answer is 2

Step-by-step explanation:

-2, -1, 0, 1, 2, 3, 4, 5, 6

If you remove the first 4 and the last 4 numbers you are left with 2 which is also the median / middle value. Therefore, the temperature is 2.

TICKET MONEY for age 16 and over,

155-49 =106

1 person pays £18.60

106 = 106 × £18.60

=£1,971.6

TICKET MONEY for under 16

1 person pays £12.80

49 people =49 × £12.80

= £627.2

TOTAL NUMBER OF TICKETS

£ 1,971.6 + £6272.2

= £2,598.8

Answer:

160000

Step-by-step explanation:

Answer:

66 cars

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

14-70=56

Step-by-step explanation:

its subtraction so you just need 70 and take away 14.

reasoning being that theyre all still cars no matter the color and you just need to take away 14 from 70, leaving you with 56.

Answer:

2³

Step-by-step explanation:

2×2×2=8

so √8 = 2³

Hope this helps you

Answer:

0.5 ㏑ | 1-2x | +c

Step-by-step explanation:

Formula:  ∫ 1/ax+b dx = 1/a ln Iax+bI +c

The scale Trent used for his elementary school which has a school yard of 85

meters wide in real life and 102 millimetre wide in drawing  is 51 : 42500

Firstly, let's do the conversion of the units

1 meters = 1000 millimetres

85 meters = ?

cross multiply

length in millimetres = 85 × 1000 = 85000 millimetres

Since the schoolyard width is 85000 millimetres in real life but it's 102 millimetres wide in drawing , the scale will be as follows:

= 102 / 85000

= 51 / 42500

Therefore, the scale is as follows:

51 : 42500

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A scale is chosen to plot the large graphs on smaller paper representing each unit by a supposed unit.

1.2 mm is used to represent 1 meter.

In the scale given the 102 mm is drawn to represent 85 meters.

So dividing the graph line with the original length the scale Trent has used can be found.

102/85= 1.2

This shows that 1.2 mm is used to represent 1 meter.

Multiplying 85 with 1.2 gives 102 .

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Answer:

hey you can use scan and search

Answer:

I got : 0.42264973

Step-by-step explanation:

1/ -√3 + 1

-√3 = -1.73 ( 2 decimal place )

1/ -1.73 + 1

and found the answer

Answer:

145% increase

Step-by-step explanation:

343 - 140 = 203

203/140 = 1.45

1.45 x 100 = 145

Answer:

4x + 1

Step-by-step explanation:

evaluating the expression on the left

4(x -3) + 7

Distribute

4x - 12 + 7

4x - 5

Therefor if the constant is any number other than -5

there will be NO SOLUTION

Examples of equations with no solution

4(x -3) + 7 = 4x + 1

4(x -3) + 7 = 4x - 3

4(x -3) + 7 = 4x + 4

Answer: 2, D

Step-by-step explanation: f=-2, so 4x-2 would give -8 add 10 would give 2 as it is for the negative

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

Answer:

1.-13.2

2.6485

Step-by-step explanation:

Using the principle of expected value and discrete probability distribution, the missing values are :

The Expected value, E(X) is defined thus :

The cummulative sum of the probability is 1 :

Hence, we have ;

2** + ** + 0.40 + 0.13 + 0.02 = 1

3** + 0.55 = 1

3** = 1 - 0.55

3** = 0.45

** = 0.45 / 3

** = 0.15

Hence,

* = 2(0.15)

* = 0.30

To find *** :

E(X) = (0 × 0.30) + (1 × 0.15) + (*** × 0.40) + (4 × 0.13) + (5 × 0.02)

12.77 = 0 + 0.15 + 0.40*** + 0.52 + 0.10

12.77 = 0.77 + 0.40***

12.77 - 0.77 = 0.40***

12.00 = 0.40***

*** = 12.00/0.40

*** = 30

B.)

P(1 ≤ Y ≤ 4) = P(y = 1) + P(y = 4)

P(1 ≤ Y ≤ 4) = 0.15 + 0.13 = 0.28

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Answer:

-4 < n ≤5

Step-by-step explanation:

The lower limit is -4.  It has an open circle, so there is no equal sign

-4 < n

The upper limit is 5.  It is a closed circle so there is an equals sign

-4 < n ≤5

[tex](7 + 17 - 14 - 8)q = 14[/tex]

[tex](24 - 22)q = 14[/tex]

[tex]2q = 14[/tex]

Divide both sides by 2

[tex] \frac{2q}{2} = \frac{14}{2} \\ [/tex]

[tex]q = 7[/tex]

There u go...

Have a great day ❤