Is it possible to add a rational number to an irrational number and get a rational
number?

Answer:

[tex] - 2n + 1 = 3n + 6 \\ - 2n - 3n = - 1 + 6 \\ - 5n = 5 \\ n = \frac{5}{ - 5} \\ n = - 1[/tex]

Answer:

n = -1

Step-by-step explanation:

Solve for n:

1 - 2 n = 3 (n + 2)

Expand out terms of the right-hand side:

1 - 2 n = 3 n + 6

Subtract 3 n from both sides:

1 + (-2 n - 3 n) = (3 n - 3 n) + 6

-2 n - 3 n = -5 n:

-5 n + 1 = (3 n - 3 n) + 6

3 n - 3 n = 0:

1 - 5 n = 6

Subtract 1 from both sides:

(1 - 1) - 5 n = 6 - 1

1 - 1 = 0:

-5 n = 6 - 1

6 - 1 = 5:

-5 n = 5

Divide both sides of -5 n = 5 by -5:

(-5 n)/(-5) = 5/(-5)

(-5)/(-5) = 1:

n = 5/(-5)

The gcd of 5 and -5 is 5, so 5/(-5) = (5×1)/(5 (-1)) = 5/5×1/(-1) = 1/(-1):

n = 1/(-1)

1/(-1) = -1:

Answer: n = -1

Answer:$132.70

Just believe it

Answer: 125.7

Step-by-step explanation:

Answer:

[tex]\huge\boxed{42.9 \%}[/tex]

Step-by-step explanation:

=> [tex]\frac{3}{7}[/tex]

To make it a percentage, we need to multiply and divide it by 100

=> [tex]\frac{3}{7} * \frac{100}{100}[/tex]

=> [tex]\frac{300}{700}[/tex]

To make the denominator 100, we'll divide the numerator and denominator by 7

=> [tex]\frac{300/7}{700/7}[/tex]

=> [tex]\frac{42.9}{100}[/tex]

Percentage means out of hundred, so it becomes

=> 42.9 %

Answer:

3.5 lbs of jellybeans

Step-by-step explanation:

2.5 x 3.40

8.5

13.75 - 8.5 = 5. 25

5. 25 divided by 1.50 =

3.5

Answer:

3.5

Step-by-step explanation:

Answer:

770,000?

Step-by-step explanation:

your just rounding

Answer:

766,000

Step-by-step explanation:

Brainliest pleeease

Answer:

  30)  25x^2 +28x +16

  31)  (15/2)x +15

  32)  18x^3 -21x^2 -52x -20

Step-by-step explanation:

For a shape with a cutout, the shaded area is the difference between the area of the enclosing shape and the area of the cutout. The applicable area formulas are ...

  area of rectangle: A = bh

  area of triangle: A = (1/2)bh

Here, the dimensions are given as binomials (2-term polynomials), so you have to multiply those to find the areas. The distributive property is helpful for that.

__

30) shaded area = (5x+8)(6x+2) -(5x)(x+6)

  = (5x)(6x+2) +8(6x+2) -5x^2 -30x

  = 30x^2 +10x +48x +16 -5x^2 -30x

  shaded area = 25x^2 +28x +16

__

31) shaded area = (1/2)(x+6)(2x+5) -x(x+1)

  = (1/2)(x(2x+5) +6(2x+5)) -x^2 -x

  = (1/2)(2x^2 +5x +12x +30) -x^2 -x

  = x^2 +(17/2)x +15 -x^2 -x

  shaded area = (15/2)x +15

__

32) volume = lwh = (2x -5)(3x +2)(3x +2)

  = (2x -5)(3x(3x +2) +2(3x +2))

  = (2x -5)(9x^2 +6x +6x +4)

  = (2x -5)(9x^2 +12x +4)

  = 2x(9x^2 +12x +4) -5(9x^2 +12x +4)

  = 18x^3 +24x^2 +8x -45x^2 -60x -20

  volume = 18x^3 -21x^2 -52x -20

Answer:

m

Step-by-step explanation:

If all points are plotted on a graph, we'd see that (3, 5) and (10, 5), would be on the same horizontal level. Both points have the same y coordinate of 5.

Invariably, (0, 1) would be on the same horizontal level with (m, n). The coordinate of n, which is the y value on the y-axis would be same as 1.

The coordinate of m, which is the x-value on the x-axis would certainly be greater than 1.

Therefore, coordinate m represents a greater number.

Answer:

5

Step-by-step explanation:

If all points are plotted on a graph, we'd see that (3, 5) and (10, 5), would be on the same horizontal level. Both points have the same y coordinate of 5.

Invariably, (0, 1) would be on the same horizontal level with (m, n). The coordinate of n, which is the y value on the y-axis would be same as 1.

The coordinate of m, which is the x-value on the x-axis would certainly be greater than 1.

Therefore, coordinate m represents a greater number.

Step-by-step explanation:

It is given that,

[tex]u{\cdot}v=4\\\\|u|=5\\\\|v|=3[/tex]

We need to find the value of [tex]4u{\cdot} (4u-7v)[/tex]

Firstly, we should simplify [tex]4u{\cdot} (4u-7v)[/tex]

[tex]4u{\cdot} (4u-7v)=4u{\cdot} 4u-4u{\cdot} 7v[/tex]

Now using distributive property : x(y-z)=xy-yz

So,

[tex]4u{\cdot} (4u-7v)=4u{\cdot} 4u-4u{\cdot} 7v\\\\=16u{\cdot}u-28{u{\cdot} v}\\\\=16|u|^2-28(u{\cdot}v)\\\\=16\times 5^2-28\times 4\\\\=288[/tex]

So, the value of  [tex]4u{\cdot} (4u-7v)[/tex] is 288.

Answer:

a) the probability that Both motors will operate satisfactorily in the capsule 0.6222

b) the probability that One motor will operate satisfactorily and the other will not is 0.3556

Step-by-step explanation:

Given that;

total number of motors N = 10

number of motors will not operate satisfactory m = 2

number of motors randomly selected n = 2

let X be number of motors will that will not operate successfully

here, X≅Hyper geometric (x; N,n,m)

The probability mass function of x is;

P (X = x)=  { m }   {N - m }

                  {x }    {n - x}

        ⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

                     { N }

                     { n  }

a)

the probability that both motors will operate satisfactorily in the capsule i.e no motor will not operate satisfactory

so

P(X= 0)  = { 2 }    { 10 - 2 }

                 {0 }    { 2 - 0}

        ⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

                     { 10 }

                     { 2  }

so

P (X = 0)  = { 2 }   { 8}

              {  0 }   { 2  }

        ⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

                     { 10 }

                     { 2  }

p(P= 0)=1×28 / 45 = 28/45 = 0.6222

Therefore the probability that Both motors will operate satisfactorily in the capsule 0.6222

b)

the probability that one motor will operate satisfactorily and the other will not.

P(X=1)  = { 2 }   { 10 - 2 }

              {  1 }    { 2 - 1  }

        ⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

                     { 10 }

                     { 2  }

so

P(X=1)  = { 2 }   { 8 }

              {  1 }   { 1  }

        ⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

                     { 10 }

                     { 2  }

P(X=1)  = 2×8 / 45 = 16/45 = 0.3556

Therefore the probability that One motor will operate satisfactorily and the other will not is 0.3556

Answer: See below

Step-by-step explanation:

A.

Let's split the integral into two parts, by the Sum Rule.

[tex]\int\limits {x-4x^3} \, dx[/tex]                              [split into 2 integrals]

[tex]\int\limits {x} \, dx -\int\limits {4x^3} \, dx[/tex]                      [solve integral for each part]

[tex]\frac{1}{2} x^2-x^4+C[/tex]                            [Remember, we need to add C for constant]

-------------------------------------------------------------------------------------------------

B.

[tex]\int\limits {\frac{1+x}{\sqrt{x} } } \, dx[/tex]                                    [expand into 2 integrals]

[tex]\int\limits {\frac{1}{\sqrt{x} } } \, dx +\int\limits {\frac{x}{\sqrt{x} } } \, dx[/tex]                    [simplify second integral]

[tex]\int\limits {\frac{1}{\sqrt{x} } } \, dx +\int\limits {\sqrt{x} } \, dx[/tex]                    [solve integral for each part]

[tex]2\sqrt{x} +\frac{2}{3}x^3^/^2+C[/tex]

-------------------------------------------------------------------------------------------------

C.

[tex]\int\limits^4_0 {z(z^1^/^2-z^-^1^/^2)} \, dz[/tex]                [distribute]

[tex]\int\limits^4_0 {z^3^/^2-z^1^/^2} \, dz[/tex]                       [split into 2 integrals]

[tex]\int\limits^4_0 {z^3^/^2} \, dz -\int\limits^4_0 {z^1^/^2} \, dxz[/tex]              [solve integral for each part]

[tex]\frac{64}{5} -\frac{16}{3}[/tex]                                     [solve]

[tex]\frac{112}{15}[/tex]

-------------------------------------------------------------------------------------------------

D. *Note: I can't put -1 for the interval, but know that the 1 on the bottom is supposed to be -1.

[tex]\int\limits^1_1 {(1+u)(1-u)} \, du[/tex]                  [expand]

[tex]\int\limits^1_1 {1-u^2} \, du[/tex]                              [split into 2 integrals]

[tex]\int\limits^1_1 {1} \, du-\int\limits^1_1 {u^2} \, du[/tex]                      [solve integral for each part]

[tex]2-\frac{2}{3}[/tex]                                      [solve]

[tex]\frac{4}{3}[/tex]

Answer:

[tex]\boxed{x=5}[/tex]

Step-by-step explanation:

First, you need to combine like terms in order to begin simplifying. This is done by subtracting 2x from 6x. Also, add 7 to 23.

6x + 10 - 2x = 7 + 23

4x + 10 = 7 + 23

4x + 10 = 30

Now, you have a two-step equation. Subtract 10 from both sides, and then divide by 4.

4x + 10 = 30

4x = 20

x = 5 is the final answer.

Answer:X=10

Step-by-step explanation:

Answer: x=2 and y=4/3

Step-by-step explanation:

To solve by substitution method, you want to solve for one variable, and plug it into the other equation.

Let's solve for y in 2x+3y=8.

[tex]2x+3y=8[/tex]                          [subtract both sides by 2x]

[tex]3y=8-2x[/tex]                           [divide both sides by 3]

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

Now that we have y, we can plug it into the second equation.

[tex]9x-3y=14[/tex]                         [plug in y]

[tex]9x-3(\frac{8-2x}{3} )=14[/tex]                 [multiply 3 and y to cancel out the 3]

[tex]9x-(8-2x)=14[/tex]                [distribute -1 to 8-2x]

[tex]9x-8+2x=14[/tex]                   [combine like terms]

[tex]11x-8=14[/tex]                          [add both sides by 8]

[tex]11x=22[/tex]                                [divide both sides by 11]

[tex]x=2[/tex]

Since we know the value of x, we can substitute it back into any of the 2 equations to find y.

[tex]2x+3y=8[/tex]                           [plug in x=2]

[tex]2(2)+3y=8[/tex]                        [multiply 2 and 2]

[tex]4+3y=8[/tex]                            [subtract both sides by 4]

[tex]3y=4[/tex]                                  [divide both sides by 3]

[tex]y=\frac{4}{3}[/tex]

Our final answer is x=2 and y=4/3.

Answer:

Distributive Property

Step-by-step explanation:

I think it's because the bracket was expanded.

Answer:

o.ooo7

Step-by-step explanation:

The square root of 49/10,000 is 0.0007.

Hope this helps

please mark as brainlist

Answer:  2240

Step-by-step explanation: Simplify the expression.

I hope this helps you out.

Here, 2 x 3 x 2 x 5 x 7 is the prime factorization of 420.

Given that,
To determine the number that is this prime factorization 2 x 3 2 x 5 x 7 belongs to.

Factors can be defined by splitting the value into multipliable values.

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,
Prime factors of the number are the factors that consist of only prime numbers,
i.e.
2 x 3 x 2 x 5 x 7 =  420

Thus, 2 x 3 x 2 x 5 x 7 is the prime factorization of 420.

Learn more about Factors here:
https://brainly.com/question/24182713

#SPJ2

Answer: 11

Step-by-step explanation:

Let x = the number

6x-3=52+x

   6x=55+x

   5x=55

     x=11

Hope this helps!! :)

Please let me know if you have any questions

Answer: It lost $6.75 in the first year.

Step-by-step explanation: Using the graph, first determine the function of loss in value and years, by calculating:

Slope: m = [tex]\frac{y_{a}-y_{b}}{x_{a}-x_{b}}[/tex] and then, substitute in: [tex]y-y_{0}=m(x-x_{0})[/tex]

The equation is:

[tex]y-y_{0}=(\frac{y_{a}-y_{b}}{x_{a}-x_{b}} )(x-x_{0})[/tex]

Assuming y is value and x is years.

From the graph, in year 0, loss is 10 and in year 4, loss is 7, i.e.:

[tex]y-10=(\frac{7-10}{4-0} )(x-0)[/tex]

[tex]y=\frac{-3}{4}x+10[/tex]

For the first year, loss in value will be:

[tex]y=\frac{-3}{4}.1+10[/tex]

y = 6.75

During the first year, the loss in value is $6.75

Answer: 1,000

Step-by-step explanation:

Answer: B

Step-by-step explanation:

To find (f-g)(x), you simply subtract f(x) and g(x). With the given functions of f(x) and g(x), we can directly subtract them.

f(x)-g(x)                                              [plug in f(x) and g(x)]

-3x+2-x³                                             [rewrite in the correct order]                

-x³-3x+2

Since there are no like terms for us to combine, B is our correct answer.

Answer:

Natalie is 13 years old

Step-by-step explanation:

7+6=13

Answer:13

Step-by-step explanation: 7 + 6 = 13

Answer:

I pretty sure its 2 a^ 2 + 6 a^ 3 + 9 a^ 2 + 8 a

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

I don't know how to use it using a number line sorry

-1/3 - (-1/2)

Two minuses give us a plus

so:

-1/3 + 1/2

make the denominators the same and what you multiply at the bottom you multiply at the top (check online about adding fractions if you don't understand)

so:

-2/6 + 3/6 = 1/6

Answer:

0.183

Step-by-step explanation:

This is a question on Binomial Probability

Formula =nCx × p^x × q^n - x

p = 0.72

q = 1 - p

= 1 - 0.72

= 0.28

x = number of successes = 9

n = 10

The probability that at least nine out of ten people used an online travel website when they booked their airline ticket

At least 9 out of 10 means

x ≥ 9 = x = 9 and x = 10

Hence,

P(x ≥ 9) = 10C9 × (0.72^9 × 0.28^10 - 9) + 10C10 × ( 0.72^10 × 0.28^10 - 10)

P(x ≥ 9) = 0.14559635388 + 0.0374390623

= 0.18303541631

≈ 0.183

Answer:

|-49| < |-52|

Step-by-step explanation:

|-49| = 49

|-52| = 52

49 < 52

--> |-49| < |-52|

Answer:

|-49|<|-52|

Step-by-step explanation:

Absolute Values

|-49|=49

|-52|=52

49<52 so

|-49|<|-52|

Answer:

-2.4+3.2t

Step-by-step explanation:

[tex]-3.6-1.9t+1.2+5.1t\\\\=(-3.6+1.2)+(-1.9+5.1)t\\\\=-2.4+3.2t[/tex]

Answer:

-2.4+3.2t

Step-by-step explanation:

Khan

Answer:

True

Step-by-step explanation:

2.54 centimeters = 1 inch

1 x 10 = 10 inches

2.54 x 10 = 25.4 centimeters

Good luck mate :)

Answer:

12

Step-by-step explanation: Given:1st no. is 3

3×8=24

24+6=30

30/2=15

15-3=12

therefore,ans is 12

Answer:

The result is 12.

Step-by-step explanation:

3×8=24

24+6=30

30÷2=15

15-3=12

Hope it helps :)

Answer: 75

Step-by-step explanation: