A school club is serving lemonade at a meeting. Enough lemonade to fill 160 glasses is needed, and each glass holds 150 milliliters. How many liters of lemonade are needed?

Answer:

A line supplementary to AOD is AOC.

A line adjacent and congruent to AOE is COE (I think)

A line supplementary to EOA is EOC

A line complimentary to EOD is DOC

DOC and AOB are vertical angles.

Step-by-step explanation:

I think all of those are correct.

Answer:

225 miles I think

Step-by-step explanation:

75x3=225

tl;dr: Andrea traveled 3 [tex]\frac{3}{4}[/tex] miles.

Hello!

To solve the problem, we need to understand what it means. The distance traveled in miles is represented with t, while the number of minutes is represented with m.

Now, first we need to fill in the equation with the information we're given.

t = 3m  → t = 3(1 [tex]\frac{1}{4}[/tex])

Now, we solve for t.

t = 3(1 [tex]\frac{1}{4}[/tex])  → t = 3 [tex]\frac{3}{4}[/tex]

Andrea traveled 3 [tex]\frac{3}{4}[/tex] in an hour and 15 minutes.

Hope this was helpful. Have a great day! (★‿★)

Answer:

A clock forms an example of angles in real life.

Step-by-step explanation:

ANSWER: 1.211 or 13.211

Step-by-step explanation:

STEP

1

:

1.1     Evaluate :  (x-6)2   =    x2-12x+36  

Trying to factor by splitting the middle term

1.2     Factoring  x2-12x-16  

The first term is,  x2  its coefficient is  1 .

The middle term is,  -12x  its coefficient is  -12 .

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   -12 .

     -16    +    1    =    -15  

     -8    +    2    =    -6  

     -4    +    4    =    0  

     -2    +    8    =    6  

     -1    +    16    =    15  

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Equation at the end of step

1

:

 x2 - 12x - 16  = 0  

STEP

2

:

Parabola, Finding the Vertex

2.1      Find the Vertex of   y = x2-12x-16

Parabolas have a highest or a lowest point called the Vertex .   Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) .   We know this even before plotting  "y"  because the coefficient of the first term, 1 , is positive (greater than zero).  

Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two  x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.  

Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.  

For any parabola,Ax2+Bx+C,the  x -coordinate of the vertex is given by  -B/(2A) . In our case the  x  coordinate is   6.0000  

Plugging into the parabola formula   6.0000  for  x  we can calculate the  y -coordinate :  

 y = 1.0 * 6.00 * 6.00 - 12.0 * 6.00 - 16.0

or   y = -52.000

Parabola, Graphing Vertex and X-Intercepts :

Root plot for :  y = x2-12x-16

Axis of Symmetry (dashed)  {x}={ 6.00}  

Vertex at  {x,y} = { 6.00,-52.00}  

x -Intercepts (Roots) :

Root 1 at  {x,y} = {-1.21, 0.00}  

Root 2 at  {x,y} = {13.21, 0.00}  

Solve Quadratic Equation by Completing The Square

2.2     Solving   x2-12x-16 = 0 by Completing The Square .

Add  16  to both side of the equation :

  x2-12x = 16

Now the clever bit: Take the coefficient of  x , which is  12 , divide by two, giving  6 , and finally square it giving  36  

Add  36  to both sides of the equation :

 On the right hand side we have :

  16  +  36    or,  (16/1)+(36/1)  

 The common denominator of the two fractions is  1   Adding  (16/1)+(36/1)  gives  52/1  

 So adding to both sides we finally get :

  x2-12x+36 = 52

Adding  36  has completed the left hand side into a perfect square :

  x2-12x+36  =

  (x-6) • (x-6)  =

 (x-6)2

Things which are equal to the same thing are also equal to one another. Since

  x2-12x+36 = 52 and

  x2-12x+36 = (x-6)2

then, according to the law of transitivity,

  (x-6)2 = 52

We'll refer to this Equation as  Eq. #2.2.1  

The Square Root Principle says that When two things are equal, their square roots are equal.

Note that the square root of

  (x-6)2   is

  (x-6)2/2 =

 (x-6)1 =

  x-6

Now, applying the Square Root Principle to  Eq. #2.2.1  we get:

  x-6 = √ 52

Add  6  to both sides to obtain:

  x = 6 + √ 52

Since a square root has two values, one positive and the other negative

  x2 - 12x - 16 = 0

  has two solutions:

 x = 6 + √ 52

  or

 x = 6 - √ 52

Solve Quadratic Equation using the Quadratic Formula

2.3     Solving    x2-12x-16 = 0 by the Quadratic Formula .

According to the Quadratic Formula,  x  , the solution for   Ax2+Bx+C  = 0  , where  A, B  and  C  are numbers, often called coefficients, is given by :

           - B  ±  √ B2-4AC

 x =   ————————

                     2A

 In our case,  A   =     1

                     B   =   -12

                     C   =  -16

Accordingly,  B2  -  4AC   =

                    144 - (-64) =

                    208

Applying the quadratic formula :

              12 ± √ 208

  x  =    ——————

                     2

Can  √ 208 be simplified ?

Yes!   The prime factorization of  208   is

  2•2•2•2•13  

To be able to remove something from under the radical, there have to be  2  instances of it (because we are taking a square i.e. second root).

√ 208   =  √ 2•2•2•2•13   =2•2•√ 13   =

               ±  4 • √ 13

 √ 13   , rounded to 4 decimal digits, is   3.6056

So now we are looking at:

          x  =  ( 12 ± 4 •  3.606 ) / 2

Two real solutions:

x =(12+√208)/2=6+2√ 13 = 13.211

or:

x =(12-√208)/2=6-2√ 13 = -1.211

Answer: X=root of14 -6; x = -root of14 -6

Explanation: Symbolab.com

Answer: n= -1

Step-by-step explanation:

simplify by distributing:

5(2n+4)=-2(4n-1)

10n+20=-8n+2

add 8n to both sides:

10n+20=-8n+2

+8n +8n

————————

18n+20=2

subtract 20 from both sides

18n+20=2

-20 -20

————————

18n=-18

divide both sides by 18:

18n/18 = -18/18

n = -1

question is complete!

Answer:

Step-by-step explanation:

B

These two triangles are similar then the ratio of their corresponding sides will remain constant. Then the value of h is 65.33 units.

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

A man places a mirror on the ground and sees the reflection on the top of a flagpole as shown in the figure below.

The two triangles in the figure are similar.

Note that the two triangles are proportional to one another. ​a = 3, b = 7, c = 28

If both triangles are similar then the ratio of their corresponding sides will remain constant.

Then we have

[tex]\rm \dfrac{h}{b} = \dfrac{c}{a}\\\\h \ = b \times \dfrac{c}{a}\\\\h\ = 7 \times \dfrac{28}{3}\\\\h \ = 65.33[/tex]

More about the triangle link is given below.

https://brainly.com/question/25813512

Answer:

985

Step-by-step explanation:

subtract 765 from 1750 or do this    1750

                                                          - 765

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

                                                             985

Answer:

$150

Step-by-step explanation:

The price does not change for children and adults. They bought 30 tickets total since 17 + 13 = 30. 30*5 = 150. So they spent $150.

Answer:

2x3 - 3x2 - 4x + 15

 ———————————————————

        x + 3      

Answer:

7 hours

Step-by-step explanation:

9 x 7 = 63

Answer:

Step-by-step explanation:

1. The slope is 12

2. (6 - 2)/(12+4)= 4/16= 1/4

y - 2 = 1/4(x + 4)

y - 2 = 1/4x + 1

y = 1/4x + 3

Answer:

My buns

Step-by-step explanation:

Answer:

Step-by-step explanation:

SO, THE EQUATION WILL BE :

5x -3y=-3

5x-3y+3 =0

a =5 , b=-3 ,c =3

Answer:

[tex]w(-3) = 12[/tex]

Step-by-step explanation:

Plug in -3 for n in the equation:

[tex]w(n) = n^2 - n[/tex]

[tex]w(-3) = (-3)^{2} - (-3)[/tex]

Simplify. Remember to follow PEMDAS. First, solve the power:

[tex]w (-3) = (-3)^2 - (-3)\\w (-3) = (-3 * -3) - (-3)\\w (-3) = (9) - (-3)[/tex]

Next, combine like terms. Note that if there are two negative signs directly next to each other, it becomes a positive sign. Add:

[tex]w(-3) = 9 - (-3)\\w(-3) = 9 + 3\\w(-3) = 12[/tex]

Your answer: [tex]w(-3) = 12[/tex]

Answer:

The Answer Is 4 - 5x

Step-by-step explanation:

[3, 17): у 2 — 5х + 2

у = -3х + 7

Simplify=

4 - 5x

Hope This Helps

Answer:

0.125. sorry if it's wrong. (Disclaimer: Math is not my best subject :) )

Step-by-step explanation:

5/4÷10 on a calculator

Answer: $20,780.10

Step-by-step explanation:

You need the Compound Interest Formula

A = P(1 + r/n)^nt

Step 1: Create the equation.

12,000(1 + 0.08/2)¹⁴

Step 2: Solve the equation.

Follow PEMDAS (parenthesis, exponents, multiplication...)

Parenthesis: (1 + 0.08/2) = (1 + 0.04) = (1.04)

Exponents: (1.04)¹⁴ = (1.73168)

Multiplication: 12,000(1.73168) = 20,780.1

Answer:

x = 10

Step-by-step explanation:

3x/2 = 15

cross multiply

3x = 15 × 2

3x = 30

divide both sides by the coefficient of x

3x/3 = 30/3

x = 10

Answer:

Step-by-step explanation:

The square of 2, -2 is 4. square of 3, -3 is 9. so square root of 7 has to be less than 3 but more than 2. therefore the integers are either 2 and 3 or -3 and -2.

Answer:

2 and 3

Step-by-step explanation:

[tex]\sqrt{7}[/tex]= 2.645....

Hope this helps. Please give me brainliest.

Answer: $56

Step-by-step explanation:

Each day he feed them 4 fish food containers. How many days is a week 7. So 7x4 is 28. All we have left over is $2.00

so we just multiply 28x2. That sums up to $56!

Answer:

I hope this helps you

Step-by-step explanation:

25 student travelled in one bus

Multiplication means the repeated addition of groups of equal sizes. When 99 and 76 are multiplied we get the value 7524.

Multiplication means the repeated addition of groups of equal sizes.

The given two numbers are 99 and 76.

Set up your multiplication problem like this:

99

*76

______

9 x 6 = 54. Put 4 below the line and 5 as a reminder on top:

99

*76

______

   4

6 x 9 = 54. Take 54 and add 5 from the previous step to get 59. Enter 59 at the bottom

99

*76

______

 594

Enter a 0 at the bottom right as a place holder, because you now move over one digit:

99

*76

______

 594

 +   0

7 x 9 = 63. Put 3 below the line and 6 as a reminder on top:

99

*76

______

 594

 +  30

7 x 9 = 63. Take 63 and add 6 from the previous step to get 69. Enter 69 at the bottom:

99

*76

______

 594

+6930

Add up the bottom two numbers (594 + 6930 = 7524) to get the answer:

99

*76

______

 594

+6930

________

  7524

Therefore Multiplication of 99 and 76 is 7524.

To learn more on Multiplication visit:

https://brainly.com/question/5992872

#SPJ2

Answer:

4

It is right on edge

Answer:

the complex numbers have opposite real parts

Step-by-step explanation:

just took it on edge;)

Answer:

please explain what you mean better

Step-by-step explanation:

Answer:

tdyfauuotudpaoutaoiyyfiayidgaliiaflisyptpsititwou

Answer:

Use the number line to find each measure.

1. LineBD: -8

2. LineDG: 7

3. LineAF: -6

4. LineEF: 3

5. LineBG: 1

6. LineAG: -1

7. LineBE: -7

8. LineDE: -1

Find the distance between each point.

1. 10

2. [tex]\sqrt{29}[/tex]

3. 7

4. 5

5. [tex]\sqrt{229}[/tex]

6. 5

7. [tex]\sqrt{221}[/tex]

8. [tex]\sqrt{53}[/tex]

Answer:

?

Step-by-step explanation:

Problem 1

Sketch or describe the figure in Step 4 and Step 15.

Pattern of small squares. Step 1 has 1 square. Step 2 has 4 squares, 2 by 2 with bottom left square moved to top right corner. Step 3 has 9 squares, 3 by 3 with bottom left moved to top right corner.

How many small squares will there be in each of these steps?

Write an equation to represent the relationship between the step number, , and the number of small squares, , in each step.

Explain how your equation relates to the pattern.

Problem 2

Which expression represents the relationship between the step number  and the total number of small squares in the pattern?

A pattern of small squares. Step 1 has 0 squares. Step 3 has 3 squares: 2 by 2 but missing the lower right square. Step 3 has 8 squares: 3 by 3 but missing the lower right square.

A:

B:

C:

D:

Problem 3

Each figure is composed of large squares and small squares. The side length of the large square is . Write an expression for the area of the shaded part of each figure.

Figure A

Large square with 1 by 1 small squares removed from each corner.

Figure B

2 large squares side by side. On the side of the right square, there are 2 small squares stacked vertically, each with dimensions 2 by 2.

Problem 4

Here are a few pairs of positive numbers whose difference is 5.

Find the product of each pair of numbers. Then, plot some points to show the relationship between the first number and the product.

first

number second

number product

1 6  

2 7  

3 8  

5 10  

7 12  

Blank coordinate plane. Horizontal axis, first number, 0 to 10. Vertical axis, product, 0 to 100 by 10s.

Is the relationship between the first number and the product exponential? Explain how you know.

(From Algebra1, Unit 6, Lesson 1.)

Problem 5

Here are some lengths and widths of a rectangle whose perimeter is 20 meters.

Complete the table. What do you notice about the areas?

length

(meters) width

(meters) area

(square meters)

1 9  

3 7  

5    

7    

9    

Without calculating, predict whether the area of the rectangle will be greater or less than 25 square meters if the length is 5.25 meters.

On the coordinate plane, plot the points for length and area from your table.

Do the values change in a linear way? Do they change in an exponential way?

A blank graph, origin O, with a grid.

Problem 6

Here is a pattern of dots.

Four figures, labeled step 0 through 3. Step 0, row with 1 dot. Step 1, row with 2 dots. Step 2, row with 2 dots above row with 3 dots. Step 3, 2 rows of 3 dots above row with 4 dots.

Complete the table.

How many dots will there be in Step 10?

How many dots will there be in Step ?

step total number

of dots

0  

1  

2  

3  (From Algebra1, Unit 6, Lesson 2.)

Problem 7

Mai has a jar of quarters and dimes. She takes at least 10 coins out of the jar and has less than $2.00.

Write a system of inequalities that represents the number of quarters, , and the number of dimes, , that Mai could have.

Is it possible that Mai has each of the following combinations of coins? If so, explain or show how you know. If not, state which constraint—the amount of money or the number of coins—it does not meet.

3 quarters and 12 dimes

4 quarters and 10 dimes

2 quarters and 5 dimes

(From Algebra1, Unit 2, Lesson 25.)

Problem 8

A stadium can seat 63,026 people. For each game, the amount of money that the organization brings in through ticket sales is a function of the number of people, , in attendance.

If each ticket costs $30.00, find the domain and range of this function.

Answer:

The system of inequalities that can represent the situation is25q+0.1d<2.00 and  x+y≥10.

Yes, it is possible because 3 + 12≥10 and 3 quarters and 12 dimes total $1.95 which is less than $2.00.

This is not possible because 4 quarters and 10 dimes is exactly $2.00, which is not less than $2.00.

This is not possible because 2 quarters and 5 dimes is only 7 coins, which is not at least 10 coins.

Step-by-step explanation:

Answer:

(1,-1)

(0,4)

(-2,14)

Step-by-step explanation:

5 * 1 = 5 + -1 = 4

5 * 0 = 0 + 4 = 4

5 * -2 = -10 + 14 = 4

Answer:

x=25

Step-by-step explanation:

Answer:

HI THERE 1. is  9   2. is 7.08  and 3. is 13.8 pls mark brainlist

Step-by-step explanation:

Answer:

#1 is 9

#2 is 12 and 5/12

#3 is 69/5 or 13.8

Answer:

Reflect over the x-axis.

Step-by-step explanation:

Assuming you meant 2x^2+3, putting a negative sign in front of the x value flips the graph over the x-axis.