Alice and Bob play a game involving a circle whose circumference is divided by 12 equally-spaced points. The points are numbered clockwise, from 1 to 12. Both start on point 12. Alice moves clockwise and Bob, counterclockwise. In a turn of the game, Alice moves 5 points clockwise and Bob moves 9 points counterclockwise. The game ends when they stop on the same point. How many turns will this take

Answer:

2s for the first box

6u for the second box

Step-by-step explanation:

when they say like terms, just think about how the letter parts of the expression are the same

like 1/2s and 2s both have the singular variable s

and how 6u and 9u both have the singular variable u

To solve this one you have to find the ones that are connected by variables or look the same

For example.

1x and 2x are like terms because they have the same variable X

4d and 6/2d are like terms because they have the same variable D

4 and 3 are like terms because they have no variables, and they are the same

So now that you understand what like terms are you may so it

1/2 and 2s are like terms because they share the same variable S

6u and 9u are like terms because they share the same variable U

I hope this helped and if it's wrong blame me

Ps. Brainlist would really help

Answer:

9/1

Step-by-step explanation:

For every 9 women, there is 1 man

Answer:

Step-by-step explanation: The answer is False.

Answer:

True my mom helped

Step-by-step explanation:

that's all I know

Answer: good for him... how much did he spend on it?

Answer:

|6x+12|= 12 has 2 solutions --> x = -4 or x = 0

|6x+12|= -1 has No solutions

∣6x+12∣=0 has 1 solution --> x = -2

Explanation:

|6x+12|= 12

- Break |6x+12| = 12 down into two equations -

                                ↓

                       6x + 12 = 12

                       6x + 12 = −12

          - Solve both equations to x -

                       6x + 12 = 12

                       6x + 12 = −12

                                ↓

                            6x = 0

                           6x = −24

                                ↓

                             x = 0

                             x = −4

|6x+12|= -1

The absolute value function is always positive or 0 so false.

∣6x+12∣=0

- Because its 0, we simply just solve the equation -

                              6x + 12 = 0

                                     ↓

                                6x = -12

                                     ↓

                                  x = -2

~That's All Folks~

-Siascon

Answer:

x = 1

y = -4

Step-by-step explanation:

if you solve for y

y = -4x

plug this into the other equation

x - -4x = 5

simplify

5x = 5

x = 1

plug x into the fist equation

4(1)+y = 0

y = -4

Answer:

38.4[litres].

Step-by-step explanation:

[tex]1. \ the \ rule \ \frac{470.7[km]}{52.3[l]} =\frac{345.6[km]}{x};[/tex]

[tex]2. \ x=\frac{345.6*52.3}{470.7}=38.4[l].[/tex]

Answer: x = 43, ABC = 180 degrees, DBC = 48 Degrees

Step-by-step explanation:

(3(x+1))+(x+5)=180 degrees

4x+8=180

4x=172

x=43

using these we plug in.

ABC = is 3(44) + (48) = 180

DBC = 43+5 = 48

Answer:

See below

Step-by-step explanation:

2% increase on 1750=

1750 * 1.02 = 1785

1785 per month gives 1785 * 12 = 21420 per year.

Divide 21420 by 48 weeks = 446.25 per week

Divide 446.25 by 45 hours = 9.92 per hour

Multiplication is the process of multiplying. Alicia's earnings per hour for the year 2017 is £9.92 per hour.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

The monthly salary of Alicia in 2016 was £1750, which was increased by 2% in 2017. Therefore, the salary in 2017 will be,

(100%+2%) of £1750

= 1.02 × £1750

= £1785 per month

Since a year has 12 months, therefore, the earnings for the complete 2017 year will be,

Total Earning = 12 × £1785 = £21,420

As given Alicia worked 45 hours per week for 48 weeks, therefore, the number of hours will be

Number of hours = 45 hours × 48 weeks = 2,160 hours

Now, the earnings per hour can be written as,

Earning per hours = £21,420/2,160 hours = £9.92/ hour

Hence, Alicia's earnings per hour for the year 2017 is £9.92 per hour.

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Answer:

y=2x-5

Step-by-step explanation:

Answer:

y=2x-5

Step-by-step explanation:

y-y1=m(x-x1)

y-3=2(x-4)

y-3=2x-8

y=2x-8+3

y=2x-5

Note that the slope-intercept form is y=mx+b where m=slope and b=y-intercept.

If you're satisfied with the answer, then please mark me as the Brainliest. Thank you.

A.Vinegar and soda

-A salt is a substance that contains a cation which is a metal ion or an ammonium ion and an anion derived from an acid. It is an ionic compound that can be formed by the neutralization reaction of an acid and a base.

-For example; a reaction between a soluble base sodium hydroxide and an acid dilute sulfuric acid results to the formation of salt sodium salt. There are also other methods of generating a cell apart from neutralization, such as precipitation reactions and direct synthesis among others,

Answer:

Step-by-step explanation:

From the markings p and q are opposite equal sides. That means that p = q

Since = 24 then q must also be 24

r is an exterior angle. It is equal to the two remote interior angles which in this case are p and q

r = p + q   But p and q are both  equal

r = 24 + 24

r = 48

From the markings r and s are opposite equal sides. That means that r and s are equal.

s = r

s = 48

t is another exterior angle. It is = to the sum of the two interior angles

so t = r + S

t = 48 + 48

t = 96

Answer:

  √26 ≈ 5.10 units

Step-by-step explanation:

The midpoint to which the median is drawn is ...

  M = (B +C)/2

  M = ((-3, 3) +(5,1))/2 = (-3+5, 3+1)/2 = (2, 4)/2 = (1, 2)

The distance between the first vertex and this point is given by the distance formula.

  d = √((x2 -x1)^2 +(y2 -y1)^2)

  d = √((2 -1)^2 +(7 -2)^2) = √(1^2 +5^2) = √26 ≈ 5.0990 ≈ 5.10

The length of the median is √26 units.

Answer:

109.5890410958904

Step-by-step explanation:

thats  the shares that the investor owns

Answer:

The steps for solving 7x + 3 = 52 are shown. Explain how each step helps solve the

Step-by-step explanation:

Simplifying

7x + 3 = 52

Reorder the terms:

3 + 7x = 52

Solving

3 + 7x = 52

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.

3 + -3 + 7x = 52 + -3

Combine like terms: 3 + -3 = 0

0 + 7x = 52 + -3

7x = 52 + -3

Combine like terms: 52 + -3 = 49

7x = 49

Divide each side by '7'.

x = 7

Simplifying

x = 7

Answer: B. (6,4)

Find x for the 2nd equation

3x + 6y = 42

3x = 42-6y

x= (42-6y) / 3

Place the value of x in the first equation and find for y then.

4x - 3y= 12

4{(42-6y)/3} - 3y = 12

So the answer for y is 4

Now, you know the value of y is 4.

4x - 3*4 = 12

4x - 12 = 12

x= 12+12 /4

x= 6

So x is 6 and y is 4. So the answer is B.

Answer:

19.5  = CD

Step-by-step explanation:

The square of the tangent = the the whole secant times the outside part of the secant.

EG²= (ED)(EC)

13² = (26)(EC)

169 = 26EC

169/26 = EC

 6.5 + EC

Now  ED = EC + CD

         26 = 6.5 + CD

        26 - 6.5 = CD

           19.5  = CD

Answer:

Step-by-step explanation:

top right

Answer:

Its C (upper right)

Step-by-step explanation:

Answer:

John

Step-by-step explanation:

Answer:

a) 1 04.

b) 160 * 0.94.

Step-by-step explanation:

b) We multiply by 1 - 0.06 = 0.94.

10%

since he works 40 hours per week and gets $16 an hour, that would be 16 * 40 which is 640, so that means he needs a commission rate of 10% as 10% of 6400 is 640.

hope this is helpful!

Answer:

[tex]x=44[/tex]

Step-by-step explanation:

[tex]\frac{5}{7}(x-9)=25[/tex]

[tex]5(x-9)=175[/tex]

[tex]x-9=35[/tex]

[tex]x=44[/tex]

If asking how many 1/2 a yard(s) are in a whole yard your answer is 2, because 1/2 + 1/2 = 1

Answer:

5.36

Step-by-step explanation:

If the car travels for 4 hours on the highway at a rate of 65 miles per hour,12.4 gallons of gas should the car used, to the nearest tenth of a gallon.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that a car can go 21 miles per gallon of gas on a highway and that the car can travel for 4 hours at a speed of 65 miles per hour.

As a result, the distance traveled by car,

Distance = speed × time

Distance = 65 miles / hr × 4 hr

Distance = 260 miles

The number of gallons of gas the car should consume is determined by dividing the entire distance driven by the per gallon of gas as follows:

= 260 miles / 21 miles per gallon

= 12.38 gallon

The value nearest tenth of a gallon is,

=12.4 gallons

Thus, if the car travels for 4 hours on the highway at a rate of 65 miles per hour,12.4 gallons of gas should the car used, to the nearest tenth of a gallon.

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The linear equations [tex]c_{2}+c_{1}+c_{o} = 3[/tex], [tex]4\cdot c_{2} + 2\cdot c_{1}+ c_{o} = 1[/tex] and [tex]4\cdot c_{2} - 2\cdot c_{1} + c_{o} = -15[/tex] can be written given the points [tex](x_{1}, y_{1}) = (1, 3)[/tex], [tex](x_{2}, y_{2}) = (2, 1)[/tex] and [tex](x_{3}, y_{3}) = (-2, -15)[/tex].

A quadratic function ([tex]p(x)[/tex]) is a second order polynomial of the form:

[tex]p(x) = \Sigma\limits_{i= 0}^{2} c_{i}\cdot x^{i} = c_{2}\cdot x^{2}+c_{1}\cdot x + c_{o}[/tex] (1)

Where:

To determine the value of all coefficients, we need three distinct points on plane and create a resulting system of linear equations.

If we know that [tex](x_{1}, y_{1}) = (1, 3)[/tex], [tex](x_{2}, y_{2}) = (2, 1)[/tex] and [tex](x_{3}, y_{3}) = (-2, -15)[/tex], then the system of linear equations is:

[tex]c_{2}+c_{1}+c_{o} = 3[/tex] (2)

[tex]4\cdot c_{2} + 2\cdot c_{1}+ c_{o} = 1[/tex] (3)

[tex]4\cdot c_{2} - 2\cdot c_{1} + c_{o} = -15[/tex] (4)

The linear equations [tex]c_{2}+c_{1}+c_{o} = 3[/tex], [tex]4\cdot c_{2} + 2\cdot c_{1}+ c_{o} = 1[/tex] and [tex]4\cdot c_{2} - 2\cdot c_{1} + c_{o} = -15[/tex] can be written given the points [tex](x_{1}, y_{1}) = (1, 3)[/tex], [tex](x_{2}, y_{2}) = (2, 1)[/tex] and [tex](x_{3}, y_{3}) = (-2, -15)[/tex].

To learn more on systems of linear equations, we kindly invite to check this verified question: https://brainly.com/question/20379472