Define a rational number and show that no rational number x belongs to Q satisfies x² = 2​

Answer:

Step-by-step explanation:

$8 per hour + average commision $260 per car sold ≥ $1040 per week.

This two numbers can make 1040 dollars a week or less. It depends on how many cars he can sell.

Answer: Stacy: 30 Naomi: 18

Step-by-step explanation:

Stacy- ratio of oat to blueberry is 6:2 we want to find x:10

10 is 5 times 2, and whatever you do to the bottom you have to do to the top, and 6 times 5 is 30

Naomi- ratio of oat to blueberry is 9:5 we want to find x:10

The 10 is 2 times 5, and whatever you do to the bottom you have to do to the top, and 9 times 2 is 18

Answer:

120°

Step-by-step explanation:

sum of angles on adjacent sides= exterior angle

x= 76+44 = 120

The concept of this question belongs to sum of internal angles of triangle and Linear pair of angles .

Firstly , we are finding value of angle y. So sum of Angle 1 , Angle 2 and Angle y is equal to 180° because sum of all angles of internal triangle is 180°. So :

Therefore , value of angle y is 60° .

Now , we are finding the value of x :

As we know angle 3 ( y ) and angle 4 ( x ) is equal to 180° because they form linear pair . So :

Therefore, value of angle x is 120° .

The solution of the equations y = 2x + 4 and y = x² – x + 4 will be (0, 4) and (3, 10). Then the correct option is C.

The solution of the equation means the value of the unknown or variable.

The system of the equations are given below.

y = 2x + 4            …1

y = x² – x + 4       …2

From equation 1 and 2, then the equation will be

x² – x + 4 = 2x + 4

   x² – 3x = 0

  x(x – 3) = 0

            x = 0, 3

At x = 0, the value of the y will be

y = 2(0) + 4

y = 0+ 4

y = 4

At x = 3, the value of the y will be

y = 2(3) + 4

y = 6 + 4

y = 10

Thus, the solution of the equations will be (0, 4) and (3, 10).

Then the correct option is C.

The graph of the line and the parabola is given below.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ5

Answer:

y - 1/2 ≤ -3/2

Step-by-step explanation:

y minus 1/2

y - 1/2

is no more than   means is less than or equal to  ≤

y - 1/2 ≤ -3/2

17.29162

[tex]\sqrt{18^2-5^2}[/tex]

__________________________________________

[tex]17.29162[/tex]

I hope this helps you

:)

Answer:

$25.40

Step-by-step explanation:

Find the unit price. So what you do is just divide 304.80 by 12 to get the price of one which comes out to be $25.40

Step-by-step explanation:

I think that B IS CORRECT BECAUSE EVERY TIME you toss the coin there is half chance of getting tail and half of head

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Answer:

152 sq in

Step-by-step explanation:

Surface area just means to find the area of all of the sides of a shape. This triangular prism has been flattened so you can see both bases (triangles) and all three lateral sides (rectangles)

Area of a triangle is:

A = 1/2 b•h

= 1/2 •8•4

= 16

There are 2 of these triangles.

A_bases = 32

Then there are 3 rectangle sides, area of a rectangle is:

A = l × w (or b•h)

6 × 5 = 30

6 × 8 = 48

6 × 7 = 42

Add up all the areas.

32 + 30 + 48 + 42

Total surface area is:

A = 152 sq in

Answer:

152

Step-by-step explanation:

Answer: 26 sales

Step-by-step explanation:

If you plug in 26 you will get exactly $1,000

Martin needs to sale 8 pieces to make it $1000.

Martin has to save $1000.

He is using an app to manage all the sales, but if keeps fraction of every sales.

The equation which represents his net pay is P(x)=[tex]x^{2}+20x-196[/tex]

We have to solve the given quadratic equation.

Here, x= (-b±[tex]\sqrt{ b^{2}-4ac }[/tex])/2a

⇒ x= (-20±[tex]\sqrt{400+4*196}[/tex])/2

⇒ x= (-20±[tex]\sqrt{1184}[/tex])/2

⇒ x= -10±[tex]\sqrt{296}[/tex]

⇒ x= -10±17.2

We habe to take the maximum value of x. So we neglect the negative sign.

Hence, x= -10+17.2 = 7.2 = 8 (approx) ,here we can not take 7 because if he sales 7 pieces then the money should less than $1000.

Learn more about Quadratic equation here :

https://brainly.com/question/27272153

#SPJ2

Answer:

15.85

Explanation:

Po = D1 / (k-g)

Po = purchase price,D1 = Dividend in paid in next year,k = required rate of return,g= growth rate

Po = (5.10 (1-0.13)) / (0.15-(-0.13))

Po= 15.85

To solve the area of a complex shape

  ⇒ best split the shape into smaller regular shapes

     ⇒ let's split this one into

        ⇒the rectangle that has a length of  7cm and width of4 cm

          ⇒ and a pentagon that has a height of 8cm and the two bases of

              length 7cm and 19 cm

Area of Rectangle = length * width = 7 *4 = 28[tex]cm^2[/tex]

Area of Pentagon = [tex]\frac{1}{2}(b1+b2)*h[/tex]

   Area of Pentagon = [tex]\frac{1}{2}(7 + 19)*8 = \frac{1}{2}*26*8 = 26 * 4 = 104cm^2[/tex]

Total Area = Area of Rectangle + Area of Pentagon

                  = 104 + 28 = 132[tex]cm^2[/tex]

Hope that helped!

Answer:

8%

Step-by step explanation:

We are given:

The formula to determine the percentage of unemployed workers in the total workers, we need to divide the number of unemployed works by the total workers in the labor force. Then, multiply the quotient by 100 to obtain the percentage of unemployed workers.

Formula:

[tex]\dfrac{\text{Unemployed workers}}{\text{Total workers} } \times 100 = \text{Percentage of unemployed workers}[/tex]

Substitute the given values into the formula to determine the percentage of unemployed workers in the labor force.

[tex]\implies \dfrac{\text{24,000}}{\text{300,000} } \times 100 = \text{Percentage of unemployed workers}[/tex]

Now, simplify the equation.  The easiest way to simplify the equation is to temporially ignore the "100".

[tex]\implies \dfrac{\text{24,000}}{\text{300,000} } = \text{Percentage of unemployed workers}[/tex]

Then, cancel the "0's" on the L.H.S. This is a good way to simplify the equation on the L.H.S

[tex]\implies \dfrac{\text{24}}{\text{300} } = \text{Percentage of unemployed workers}[/tex]

Don't forget to multiply the result by 100 as it was temporaily hidden.

[tex]\implies \dfrac{\text{24}}{\text{300} } \times 100= \text{Percentage of unemployed workers}[/tex]

Let 100 be 100/1. Thus, our equation will be:

[tex]\implies \dfrac{\text{24}}{\text{300} } \times \dfrac{100}{1} = \text{Percentage of unemployed workers}[/tex]

Multiply the numerator with the numerator and the denominator with the denominator.

[tex]\implies \dfrac{24 \times 100}{\text{300} \times 1} } = \text{Percentage of unemployed workers}[/tex]

[tex]\implies \dfrac{2400}{\text{300} } = \text{Percentage of unemployed workers}[/tex]

Cancel the "0's" on the L.H.S to make it easier to simplify.

[tex]\implies \dfrac{2400}{\text{300} } = \text{Percentage of unemployed workers}[/tex]

[tex]\implies \dfrac{24}{\text{3} } = \text{Percentage of unemployed workers}[/tex]

[tex]\implies 8 = \text{Percentage of unemployed workers}[/tex]

Thus, 8% of the workers are unemployed workers.

Answer:

  about 1.14%

Step-by-step explanation:

Assuming you can redeem the T-bill for $100 at the end of the period, the interest rate can be found from the formula for simple interest:

  I = Prt . . . . where P is the principal invested, r is the annual rate, and t is the number of years.

__

Here, we have ...

  (100 -99.44) = 99.44·r·(180/365) . . . . held for a fraction of a year

  0.56×365/(99.44×180) = r ≈ 0.0114195 ≈ 1.14% . . . . divide by the coefficient of r

Your return would be about 1.14%.

Answer:

0.0108

Step-by-step explanation:

3.6 multiplied by 0.003

1. First you write down the numbers one on top of the other

0.003

x   3.6

-----------

2. Multiply 6 by all the numbers in 0.003

0.003

x   3.6

-----------

  0018

3. Multiply 3 by all the numbers in 0.003. But because "3" is followed by a number you leave a blank or a zero in the ones place

0.003

x   3.6

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

     0018

+ 00090

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

4. Add the numbers you got

0.003

x   3.6

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

     0018

+ 00090

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

   00108

5. Count the number of decimal points or numbers after the decimal point in both numbers and add them

3.6 = one decimal place

0.003= three decimal places

Three plus one = four

6. Count the total number of decimal places

0010.8 = one decimal place

001.08 = two decimal places

00.108 = three decimal places

0.0108 = four decimal places

Answer:

E. 12 red, 6 green, 4 blue

Step-by-step explanation:

To find the number of colored pencils for each color, we must find ratios.

480 red: 240 green: 160 blue

Then we divide them to the simplest ratios.

We divide all the numbers by 80.

6 red: 3 green: 2 blue

There are a total of 11 pencils here. To get 22 pencils, you multiply the ratio by 2 to get 22 pencils.

12 red: 6 green: 4 blue

The pencils of each color are 12 red, 6 green, 4 blue. The correct option is E.

The numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.

Given:

Carlos is picking colored pencils from a large bin that contains only 480 red pencils, 240 green pencils, and 160 blue pencils.

Without looking, Carlos pulls out 22 pencils.

The pencils were distributed randomly in the bin.

To find the numbers of pencils of each color:

First, we will find the ratio.

Red : Green : Blue

= 480 : 240 : 160

We will factor out the common factor,

= 12: 6: 4

Therefore, 12 red, 6 green, 4 blue are the pencils of each color.

To learn more about the ratio;

https://brainly.com/question/13419413

#SPJ2

Answer:

Inequality Form:

X< −1

Interval Notation:

(−∞,−1)

Step-by-step explanation:

Answer:

[tex]x < -1[/tex]

Step-by-step explanation:

First you need to combine the like terms -5x and 2x to get [tex]3 < -3x[/tex]
Then, you need to devide both sides by -3 to get [tex]-1 < x[/tex] , but because the factor is negative, we flip the relation to get [tex]x < -1[/tex]

Answer:

Area=length×width

=12m×15m

=180m

so,the area is 180.

hope it helps!

Answer:

625 in²

Step-by-step explanation:

⇒ Area of the figure = Area of the rectangle + Area of the triangle

Finding the base of the triangle

Finding Area

[tex]\dfrac 25 = \dfrac 12 x\\\\\implies x = \dfrac{2 \times 2 }5 = \dfrac 45[/tex]

Answer:

D I think so

Step-by-step explanation:

HOPE IT HELPS

~Denki Kaminari here~

6 + 2³ - 4  ×  3 = 500

The parentheses will most likely go before the exponent because that will raise your number up higher.

(6 + 2)³ - 4  ×  3 = 500

(8)³ - 4 × 3 = 500

512 - 12 = 500

500 = 500

So the parentheses will go around the (6 + 2).

hope this helps :D

6+6+8+14=34 all you need to do is add them I think

since the investment is losing 10%, let's plug that in the compound interest equation but with a negative rate of 10%.

[tex]~~~~~~ \underset{\textit{with a negatie rate}}{\textit{Compound Interest Earned Amount}} \\\\ A=P\left(1~~ - ~~\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$4000\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{six times} \end{array}\dotfill &6\\ t=years\dotfill &t \end{cases}[/tex]

[tex]A=4000\left(1~~ - ~~\frac{0.10}{6}\right)^{6\cdot t}\implies A=4000\left( \frac{59}{60} \right)^{6t}[/tex]

Answer:

Alright! So, the formula is

x+x+1+x+2+x+3+x+4....x+24

You can do 25x+300=1000

25x=700

x=28

Answer:

Slope= 4

Step-by-step explanation:

y=mx+b

4x

4= slope