how many servings are in 8 liters of honey if one serving is 1/4 of a liter?

Answer:

x = -4

Step-by-step explanation:

1. (2x2 +  8x) -  (x2 - 16)  = 0

2. Factoring  x2+8x+16  

The first term is,  x2  its coefficient is  1 .

The middle term is,  +8x  its coefficient is  8 .

The last term, "the constant", is  +16  

Step-1 : Multiply the coefficient of the first term by the constant   1 • 16 = 16  

Step-2 : Find two factors of  16  whose sum equals the coefficient of the middle term, which is   8 .

     -16    +    -1    =    -17  

     -8    +    -2    =    -10  

     -4    +    -4    =    -8  

     -2    +    -8    =    -10  

     -1    +    -16    =    -17  

     1    +    16    =    17  

     2    +    8    =    10  

     4    +    4    =    8    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  4  and  4  

                    x2 + 4x + 4x + 16

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x+4)

             Add up the last 2 terms, pulling out common factors :

                   4 • (x+4)

Step-5 : Add up the four terms of step 4 :

                   (x+4)  •  (x+4)

            Which is the desired factorization

Multiply  (x+4)  by  (x+4)  

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is  (x+4)  and the exponents are :

         1 , as  (x+4)  is the same number as  (x+4)1  

and   1 , as  (x+4)  is the same number as  (x+4)1  

The product is therefore,  (x+4)(1+1) = (x+4)2

(x + 4)2  = 0

3.

Solve  :    (x+4)2 = 0  

 (x+4) 2 represents, in effect, a product of 2 terms which is equal to zero

For the product to be zero, at least one of these terms must be zero. Since all these terms are equal to each other, it actually means :   x+4  = 0

Subtract  4  from both sides of the equation :  

                     x = -4

Answer:

x = -4

Step-by-step explanation:

=> 2x²+8x = x²-16

=> 2x²- x² + 8x + 16 = 0

=> x² + 8x + 16 = 0

Using mid-term break formula

=> x² + 4x + 4x + 16 = 0

=> x(x+4)+4(x+4) = 0

=> (x+4)(x+4) = 0

=> (x+4)² = 0

Taking square root on both sides

=> x+4 = 0

=> x = -4

8x-4=2x-3  

One solution was found :

                  x = 1/6 = 0.167

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    8*x-4-(2*x-3)=0  

Step by step solution :

Step  1  :

Solving a Single Variable Equation :

1.1      Solve  :    6x-1 = 0  

Add  1  to both sides of the equation :  

                     6x = 1

Divide both sides of the equation by 6:

                    x = 1/6 = 0.167

One solution was found :

                  x = 1/6 = 0.167

i am not solving for x i am solving for you lol!!!

Answer:

i belive it is D 1%

Step-by-step explanation:

I think the answer is D) 1% I am sorry if it is wrong and plz let me know if i am wrong

Answer:

Step-by-step explanation:

Remember that the median represents the value at the middle, literally.

So, if 12 is the median, it means is the value at the center of the data set.

Now, according to the problem, there are 10 kids older than 12 and 10 kids younger than 12. That means there are 24 kids who doesn't have 12 years old.

Therefore, there are 25 kids in total.

Answer:

Q1: n*m

Q2: A = 3x+6

Step-by-step explanation:

Q1: The total number of toys in the bag is given by the number of boxes (n) in the bag multiplied by the number of toys in each box (m):

[tex]T = n*m=nm[/tex]

Q2: The area of a rectangle is given by the product of its height by its length:

[tex]A = (x+2)*3\\A=3x+6[/tex]

The area of this rectangle is given by the expression A = 3x+6.

Answer:

T. S. A. =2πrh+2πr2

V=Bh

V = Base×h

V= (lw) × h

V= lwh

In the Pythagorean theorem, a squared minim b squared equals c squared. If you apply that formule to question 2.

17^2-8^2 = 289 - 64 = 225 = 15^2.

Therefore, the answer to first question is yes

Then, for question 2, you do the same thing.

41^2 - 40^2 = 51

Here, 51 is not a square number. Most importantly it is not the square of9,

So this triangle is not right angled

Answer:

Question (8). m∠1 = 142°

                     m∠2 = 300°

Question (9). m∠1 = 73°

                     m∠2 = 82°

Step-by-step explanation:

Question (8). m∠1 + 38° = 180° [Supplementary angles]

                              m∠1 = 180 - 38

                              m∠1 = 142°

                              m∠x = 38° [Alternate interior angles]

                               m∠y = 22° [Alternate interior angles]

                Now, m∠2 = 360° - (m∠x + m∠y)

                                   = 360° - (38 + 22)°

                          m∠2 = 300°

Question (9). m∠RMN + 98° = 180°

                       m∠RMN = 180 -98

                                      = 82°

                       m∠RMN = m∠ARM = 82°

                             m∠2 = 82°

                        m∠SNM = 73° [Vertical angles]

                        m∠SNM = m∠OSR = 73°[Corresponding angles]

                               m∠1 = 73°

Answer:

5026.55

Step-by-step explanation:

A=πr2=π·402≈5026.54825ft²

Answer:

15/17

12/37

12/13

20/21

Step-by-step explanation:

5)

cos A = adj/hyp = 15/17

6)

cos C = adj/hyp = 12/37

7)

cos Z = adj/hyp = 36/39 = 12/13

8)

tan A = opp/adj = 20/21

Answer:

Step-by-step explanation:

Answer:

2/6 (33.33%)

Step-by-step explanation:

Answer:

The answer would be 1/3

Step-by-step explanation:

There are 6 faces in a dice and 2 of which are less than three. So the answer would 2/6 which is simplified as 1/3.

Answer:

aₙ= 4n+11

Step-by-step explanation:

the sequence 15, 19, 23, 27

is AP with the first term 15 and

the common difference 19-15=23-19=27-23= 4

aₙ= a₁+(n-1)d

aₙ= 15+(n-1)*4= 15+4n- 4= 4n+11

aₙ= 4n+11

Answer:

127.235cm^2

Step-by-step explanation:

A = πr²/2 = 40.5 * π [cm²] ≈ 127.235 [cm²]

Answer:

[tex]127.251 {cm}^{2} [/tex]

Step-by-step explanation:

[tex] \frac{180}{360} \times \pi {r}^{2} \\ \frac{1}{2} \times 3.142 \times 9 \times 9 \\ = \frac{254.502}{2} \\ = 127.251 {cm}^{2} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

The length is 7 and the width is 4

Step-by-step explanation:

l = length

w = l-3

P =2( l+w)

22 = 2( l+ l-3)

Combine like terms

22 = 2(2l-3)

Divide each side by 2

22/2 = 2/2 (2l-3)

11 = 2l-3

Add 3 to each  side

11+3 = 2l-3+3

14 = 2l

Divide each side by 2

14/2 =2l/2

7 = l

Now find w

w = l-3

w = 7-3 = 4

Answer: length = 7 cm

Width = 4 cm

Step-by-step explanation:

Perimeter = 2 (l + w)

22 = 2 ( l + l-3)

22=2 (2l - 3)

22=4l - 6

22+6 = 4l

4l = 28/4

l = 28/1 = 7 = length

Width = 7-3 = 4

Answer:4.

Step-by-step explanation:

Answer:

6.5 km

Step-by-step explanation:

Subtract 12 - 1.20 for the first 0.5 km

We are left with 10.8

Divide 10.8 by 0.90 to find the other 0.5 km

This gives you 12, which means it was 6 km

The total cab ride was 6.5 km

Answer:

6.5 km

Step-by-step explanation:

First subtract 1.2 from 12, you get 10.8

now you are going to divide 10.8 by .90, you get 12. Now this may seem confusing but now u have do divided it by .5 because you aren't paying for every 1 km you are paying fro every .5 km. So now u have 6 km but no add that extra .5 from earlier and you get 6.5 km.

12.00-1.2=10.8 this is .5 km               10.8 divided by .9 =12

                                                           12 divided by .5=6

                                      .5 km + 6 km = 6.5

Answer: The equation is 45-10=x the answer is 35

Step-by-step explanation: To make the equation you need to have and = sign so, we can do what he has (45) and subtract what he gives away (10) which would equal what he has left (x)

Answer:

45 (initial amount) - 10 (given to brother) = x (number of cd's left)

Equation:

    45 - 10 = x

Answer:

    35 CDs

Answer:

+15 degrees

Step-by-step explanation:

-3

-2

-1

0

1

2

3

4

5

6

7

8

9

10

11

12

Answer: a=4

Step-by-step explanation:

Es facil. La diagonales de un rectangulo se cortan en su punto medio por tanto la diagonal es 10 (el doble de 5).

Por pitagoras entonces:

[tex]a=\sqrt{10^2-8^2}=\sqrt{100-64}=\sqrt{36}=4[/tex]

Answer:

slope = - 5

Step-by-step explanation:

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (2, - 8)

m = [tex]\frac{-8-2}{2-0}[/tex] = [tex]\frac{-10}{2}[/tex] = - 5

The value of the gradient is -1/5.

In order to find the gradient of a line either of the two ways can be used. First, the equation of line should be written in terms of y, then the coefficient of x is the gradient.

The other method is to find the two points on the graph and then take the ratio of the difference of corresponding coordinates.

The given points are (0,2) and (2,-8).

Since the gradient of the line segment between points (x₁, y₁) and (x₂, y₂) is given as,

Gradient = (y₂-y₁)/(x₂-x₁)

Substitute the corresponding values to obtain,

Gradient = (2-0)/(-8-2)

               = -2/10

               = -1/5

Hence, the gradient of the line segment joining the points (0,2) and (2,-8) is -1/5.

To know more about gradient click on,

https://brainly.com/question/24200465

#SPJ2

Answer:

[tex]y = -\frac{1}{4} x + 2[/tex]

Step-by-step explanation:

Answer:

Using triangular inequality:

[tex]0< s\leq 3+8\\\ 0<s\leq 11\\[/tex]

Answer:

x = 20°

Step-by-step explanation:

4x + 10 = 90

4x = 80

x = 20

Answer:

[tex] \boxed{x\degree = 20\degree} [/tex]

Step-by-step explanation:

Two Angles are Complementary when they add up to 90° (a Right Angle).

[tex] = > x\degree + (3x + 10)\degree = 90\degree \\ \\ = > x\degree + 3x\degree + 10\degree = 90\degree \\ \\ = > 4x\degree + 10\degree = 90\degree \\ \\ = > 4x\degree = 90\degree - 10\degree \\ \\ = > 4x\degree = 80\degree \\ \\ = > x\degree = \frac{80}{4} \degree \\ \\ = > x\degree = 20\degree [/tex]

Answer: 44 possible outcomes

Step-by-step explanation:

Multiply the number of games by the number of outcomes to find how many possibilities.

22 games * 2 outcomes = 44 possibilities

Interpreting the situation, it is found that there are 23 possible outcomes for the season record.

For each game, there are two possible outcomes.

In this problem, there are 22 games, hence 23 possible outcomes.

A similar problem is given at https://brainly.com/question/18599661

=========================================================

Explanation:

Think of x^4y as x^4y^1. When we raise this to the third power, we multiply the outer exponent 3 by each inner exponent

x^4 turns into x^12

y^1 turns into y^3

-----------

This is one way to show your work

(x^4y)^3

(x^4y^1)^3

x^(4*3)*y^(1*3) ... multiplying outer exponent by each inner exponent

x^12y^3

-----------

A more lengthy way to get the answer is to write x^4y out three times multiplying by itself that many times. The outer exponent 3 tells us we will have three copies of x^4y multiplied with itself.

(x^4y)^3 = (x^4y)*(x^4y)*(x^4y)

(x^4y)^3 = (x^4*x^4*x^4)*(y*y*y)

(x^4y)^3 = ( x^(4+4+4) ) * ( y^(1+1+1) )

(x^4y)^3 = x^12y^3

Answer:

Step-by-step explanation:

Given the equation cos(22f − 1) = sin(7f + 4), the following steps must be followed in order to get the value of f;

From the trigonometry identity, sin(90-theta) = cos theta.

cos(22f-1) = sin (90-(22f-1))

cos(22f-1) = sin (90-22f+1)

cos(22f-1) = sin (91-22f)... 3

substituting eqn 3 into the original equation given, we will have;

sin (91-22f) = sin(7f + 4)

91-22f = 7f+4

7f+22f = 91-4

29f = 87

f = 87/29

f = 3

A correct option is an option (a)

Given function is,

[tex]cos(22f-1) = sin(7f + 4)[/tex]

As we know the relation,

[tex]cosx=sin(90-x)[/tex]

Now, apply the above relates to the given function.

[tex]cos(22f − 1) = sin(7f + 4)\\sin(90-(22f-1))=sin(7f + 4)\\90-22f+1=7f+4\\-22f-7f=4-91\\-29f=-87\\f=3[/tex]

So, the required value is [tex]f=3[/tex]

Read More:https://brainly.com/question/16638358

Answer:

B the size of the circle is a function of the height of the rectangle

Step-by-step explanation:

Please tell me if it is right and give me thanks and brainleist only if right