What is the decimal expansion of 30/6? And is it rational or irrational.

Answer:

B

Step-by-step explanation:

Circumference is equal to [tex]\pi d[/tex]

[tex]C=\pi d[/tex]

[tex]C=\pi \times 8[/tex]

Answer:

there u go

Step-by-step explanation:

Answer: 5

Step-by-step explanation:

Range means the  difference between the largest and smallest values. Which would be 3 and 8.

Answer:

4.5 or 4 1/2 miles

Step-by-step explanation:

[tex]\dfrac{3\text{ miles}}{\text{hour}}\cdot 1.5 \text{ hours}= 3\cdot 1.5=4.5[/tex]

Hope this helps!

Answer:

x = 2

Step-by-step explanation:

5x = 10

x = 2

Answer:

5x+2

Step-by-step explanation:

I think it is 5x+2

Answer:

0

Step-by-step explanation:

Ok use the equation: (Y2 - Y1) / (X2 - X1)

((-2) - (-2)) / ((-9)-(-1))

0/ -8

we know that 0 divided by any number is 0

so slope = 0

12%

The cost Esme increased was 200, but then she reduced 20%of 700, which gives 140 dollars reduced. So, we subtract 140 from 200, which is 60 to find the actual increase.

Now, we follow the simple rules of percentage change

Increase divided by original times 100.

So, 60 divided by 500( not 700) times 100 = 12

Answer:

Friend 1: $11.53 Frind 2: $5.21 Friend 3: $5.21

Step-by-step explanation:

15.63/3=5.21

One friend pays for the rest.

1.29*3=$3.87=drinks

salad=$2.45

5.21+3.87+2.45=11.53

Answer:

a). Center of the circle = (-2, 5)

b). Equation of the line ⇒ y = [tex]-\frac{4}{5}x+\frac{58}{5}[/tex]

Step-by-step explanation:

Equation of the circle is,

x² + 4x + y²- 10y + 20 = 30

a). [x² + 2(2)x + 4 - 4] + [y²- 2(5)y + 25] - 25 + 20 = 30

   [x² + 2(2)x + 4] - 4 + [y² - 2(5)y + 25] - 25 + 20 = 30

   (x + 2)² + (y - 5)²- 29 + 20 = 30

   (x + 2)² + (y - 5)²- 9 = 30

   (x + 2)² + (y - 5)² = 39

By comparing this equation with the standard equation of a circle,

    Center of the circle is (-2, 5).

b). A point (2, 10) lies on this circle.

    Slope of the line joining this point to the center (-2, 5),

    [tex]m_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

          = [tex]\frac{10-5}{2+2}[/tex]

          = [tex]\frac{5}{4}[/tex]

    Let the slope of the tangent which is perpendicular to this line is '[tex]m_{2}[/tex]'

    Then by the property of perpendicular lines,

          [tex]m_{1}\times m_{2}=-1[/tex]

          [tex]\frac{5}{4}\times m_{2}=-1[/tex]

                 [tex]m_{2}=-\frac{4}{5}[/tex]

   Now the equation of the line passing though (2, 10) having slope [tex]m_{2}=-\frac{4}{5}[/tex]

           y - y' = [tex]m_{2}(x-x')[/tex]

           y - 10 = [tex]-\frac{4}{5}(x-2)[/tex]

           y - 10 = [tex]-\frac{4}{5}x+\frac{8}{5}[/tex]

                  y = [tex]-\frac{4}{5}x+\frac{8}{5}+10[/tex]

                  y = [tex]-\frac{4}{5}x+\frac{58}{5}[/tex]

Therefore, equation of the line will be, y = [tex]-\frac{4}{5}x+\frac{58}{5}[/tex]

Answer:

the answer is 1100

Step-by-step explanation:

you will do... 5500*20/100

Answer:

The second figure is the correct figure.

Step-by-step explanation:

Graph (ii) is solution of system of equation.

We have to given that,

System of equations are,

2x + y = 3

3y = x - 12

Now, Solve the equations and find the solution,

Here, Equations are,

2x + y = 3  .. (i)

3y = x - 12  .. (ii)

From (i);

y = 3 - 2x

Substitute in (ii);

3 (3 - 2x) = x - 12

9 - 6x = x - 12

9 + 12 = 6x + x

7x = 21

x = 3

And from (i);

2 × 3 + y = 3

6 + y = 3

y = - 6 + 3

y = - 3

Hence, Solution is, (3, - 3).

So, Graph shown in option (ii) has intersection point (3, - 3)

Thus, Graph (ii) is solution of system of equation.

Learn more about systems of equations at:

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Answer:

188.4cm³

Step-by-step explanation:

Answer:

x =42

q = 135°

p + q + r = 225°

Step-by-step explanation:

a)

Since, AB and BC are perpendicular lines.

[tex] m\angle ABC = 90\degree \\

\therefore 24\degree + x\degree + 24\degree = 90\degree \\

\therefore x\degree + 48\degree = 90\degree \\

\therefore x\degree = 90\degree - 48\degree \\

\huge \red {\boxed {\therefore x = 42}} \\[/tex]

b) (i)

Since, CD and EF are parallel lines and AB is a straight line.

[tex] \therefore q = 135\degree... (vertical \: \angle 's) \\\\

p + 135\degree = 180°..(straight\: line \: \angle' s) \\

p = 180\degree - 135\degree \\

\huge \purple {\boxed {p = 45\degree}} \\

\because r = p ... (vertical \: \angle 's) \\

\huge \purple {\boxed {r = 45\degree}} \\

p + q + r = 45\degree + 135\degree + 45\degree \\

\huge \purple {\boxed {p + q + r = 225\degree }}\\[/tex]

Answer 2,4 are all described as unit rates  a unit rate is anything that has per or each in it so a certain type of boat travels at 7 hours PER mile so we know question 2 is correct and 3 is a unit rate because it has each in it A summer camp provides 3 meals for EACH camper. That’s why the answer is 2 and 4

Answer:

C

Step-by-step explanation:

The ratio 11:16 cannot be simplified

Answer:

Its already in simplest form

Step-by-step explanation:

You can think of it as a fraction. you cant divide 11 by anything besides 1 and itself. 11 doesnt go into 16 at all, completely. So the ratio cant be simplified

Answer:

Step-by-step explanation:

ok its AAS because if you see the most aperent thing on the trangle is that

Answer:

AAS

Step-by-step explanation:

The two triangles are congruent because they have two equal angles and one side

Answer:

18 x, 36y.

Step-by-step explanation:

18x, 36y.

The ratio of x to y is 1 to 2. What is the value of x if y=4x-36?

So y: 2x (since its double the x)

So

2x = 4x - 36

Doing the math....

18x. since y= 2*x, 36y.

(I got help for this one, credits to jess :) )

hope this helps! :)

The value of X is 18.

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

The ratio of X and Y = 1 : 2

This means,

X/Y = 1/2

X = x

Y= 2x

Now,

y = 4x - 36

From (2),

2x = 4x - 36

36 = 4x - 2x

36 = 2x

x = 18

Now,

From (1),

X = x = 18

Thus,

The value of X is 18.

Learn more about ratios here:

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Answer:

3811.21

Step-by-step explanation:

volume of sphere is 4188.79 using the formula for the volume of a sphere.

volume of the box is=20x20x20=8000

8000-4188.79=3811.21

Answer:

a) 2^6 = 2 x 2 x 2 x 2 x 2 x 2 = 64

b) 7^4 = 7*7*7*7 = 2401

c) 3^2 + 2^3

= 9 + 8

= 17

d) 2^4 - 3^2

= 16 - 9

= 7

Answer:

the answer is 175

Step-by-step explanation:

you will do 2500*7/100

Answer:

Area =28.27

Step-by-step explanation:

Answer:

The area of circle:

[tex]A \approx 28.27[/tex] [tex]m^2[/tex]

Step-by-step explanation:

To find the area of circle, you need this formula:

[tex]A = \pi r^2[/tex]

-After have the formula set up, use the given radius for the formula:

[tex]A = \pi 3^2[/tex]

-Then, you solve:

[tex]A = \pi \times 3^2[/tex]

[tex]A = \pi \times 9[/tex]

[tex]A = 9\pi \approx 28.27[/tex] [tex]m^2[/tex]

-So, the area of a circle is [tex]28.27[/tex] [tex]m^2[/tex] .

Answer:

87.2

Step-by-step explanation:

90+93+87+83+86+90+82=611

611/7=87.29

answer is b

Answer:

-1/9 (x+27)

Step-by-step explanation:

Divide the whole expression by -1/9.

-1/9x becomes x

-3 becomes + 27

Answer:

a) 3

b) -4

c) -1/3

d) -2

e) -4/3

Step-by-step explanation:

a) 6w=2  ,   w=6/2    , ie. w= 3

b) 6+w=2   ,w=2-6   , ie. w= -4

c) 6w+2= 0,  6w=  0-2 , 6w= -2 , w= -2/6, ie. w= -1/3

d) 6w+2= -10, 6w= -10-2,  6w= -12, w= -12/6 , ie. w= -2

e) 6w+2= 12w+10, 6w-12w = 10-2 ( here we interchanged the digits to get the variables or you can say the terms having variables in this case 'w' to the same side. hereby changing the sign from '+' to '-')

so

6w-12w = 10-2 ,-6w=8, w= -8/6, ie. w= -4/3

You can check your answers by substituting with the answers in place of the variable and check if the equation is solved.

Tell me if this was helpful

Step-by-step explanation: The account started at $34. Three $50 credits were added. Indicate the withdrawal by subtracting $60 or adding –$60. The check is also represented by subtracting $22 or by taking the additive inverse and adding –$22.

Sample Response: The account started at $34. Three $50 credits were added. Indicate the withdrawal by subtracting $60 or adding –$60. The check is also represented by subtracting $22 or by taking the additive inverse and adding –$22.

Answer: [tex]-1\frac{1}{5}[/tex]

Step-by-step explanation:

[tex]2(P +1) + 3(P + 2 ) > 2[/tex]

Distribute 2 and 3

[tex]2P+2+3P+6>2[/tex]

Combine like terms;

[tex]5P+8>2[/tex]

Subtract 8

[tex]5P>2-8[/tex]

[tex]5P>-6[/tex]

Divide by 5

[tex]P>-\frac{6}{5}[/tex]

Convert to a mixed number by dividing. However, when we have the numerator greater than the denominator, we must find a way to make the numerator lower. We can achieve this by separating it into 2 fractions.

[tex]-\frac{6}{5}=-\frac{5}{5}-\frac{1}{5}[/tex]

When we do this, we can see that 5/5 = 1

[tex]-1-\frac{1}{5}=-1\frac{1}{5}[/tex]

Answer:

8 i think

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

2x^2-4x+1=0

This is written in the form

ax^2 +bx+c =0

a=2   b = -4  c =1

The discriminant is

b^2 -4ac

(-4)^2 -4(2)(1)

16 - 8

8

The discriminant is 8

Answer: $7.58/2=$3.79

Step-by-step explanation:

Answer:

Step-by-step explanation:

25%

the numbers after the decimal formes a percent

0.x

x = x_%

Answer:

25%

Step-by-step explanation:

25 x 100 you move the decimal point two places to the right.

So you end up with 25%

I really hope this helps.