Sue either travels by bus or walks when she visits the shops. The probability that she catches the bus from the shops is 0.7. Show that the probability that she walks at least one way is 0.72

Answer:

Infinitely many solutions

Step-by-step explanation:

Since you already have y isolated in one equation, you can plug it in and use it in the other equation

2y = 8x + 12

2(4x + 6) = 8x + 12

8x + 12 = 8x + 12

Get the x's to one side

12 = 12

Meaning you have infinitely many solutions.

Try plugging in any x value you can think of and the left side will always equal the right side. so

x = 0 --> 8(0) + 12 = 8(0) + 12

12 =12

x = 1 --> 8(1) + 12 = 8(1) + 12

20 = 20

and so on.

I graphed it here for you and the 2 functions are on top of each other which means at every x value y = 4x + 6 is equal to 2y = 8x + 12

Answer: 12 child tickets

Step-by-step explanation:

We can use system of equations to find how many child tickets were sold. Let's say x is adult and y is child.

Equation 1

5.25x+3.05y=498.6

This equation comes from the cost of tickets.

Equation 2

x+y=100

This equation comes from the number of tickets.

We can use elimination method to solve for y.

5.25x+3.05y=498.6

5.25x+5.25y=525

Now, we can subtract the equations for x to cancel out and to solve for y.

-2.2y=-26.4

y=12

Answer:

d) [tex](\sqrt[8]{(10} )^{3 x}[/tex]

Step-by-step explanation:

Step(i):-

Given   [tex](\sqrt{10} )^{\frac{3 x}{4} }[/tex]

we will use formula

  [tex](a)^{m n} = (a^{m} )^{n}[/tex]

[tex](\sqrt{10} )^{\frac{3 x}{4} } =( (10)^{\frac{1}{2} } )^{\frac{3 x}{4} }[/tex]

              = [tex]( (10)^{\frac{1}{2} X\frac{3 x}{4} } )[/tex]

             = [tex]( (10)^{\frac{3 x}{8} } )[/tex]

            = [tex]((10)^{\frac{1}{8} } )^{3x}[/tex]

Step(ii):-

  we will  apply [tex](a)^{\frac{1}{n} } = \sqrt[n]{a}[/tex]

           = [tex](\sqrt[8]{(10} )^{3 x}[/tex]

Answer:

3x^2+12x+12

Step-by-step explanation:

i think you just sub in x+2 into 3x^2

Answer:

" Expected Payoff " = $ 6.70

Step-by-step explanation:

Consider the steps below;

[tex]Probability of Winning the 550 Dollar Prize - 1 / 200,\\Probability * Money Won = " Expected Payoff " For The 550 Dollar Prize,\\\\1 / 200 * 550,\\" Expected Payoff " - 2.75 Dollars,\\\\Probability of Winning the 510 Dollar Prize - 1 / 200,\\\\1 / 200 * 510,\\" Expected Payoff " - 2.55 Dollars,\\\\Probability of Winning the 280 Dollar Prize - 1 / 200,\\\\1 / 200 * 280,\\" Expected Payoff " - 1.4 Dollars,\\\\[/tex]

[tex]Conclusion ; Expected Payoff = 6.70 Dollars[/tex]

Answer:

[tex] = 3 {a}^{4} [/tex]

Step-by-step explanation:

[tex] \frac{4a \times 6 {a}^{5} }{8 {a}^{2} } \\ = \frac{24 {a}^{1 + 5} }{8 {a}^{6} } \\ = \frac{24 {a}^{6} }{8 {a}^{2} } \\ = 3 {a}^{6 - 2} \\ = 3 {a}^{4} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

The right answer is 3a^4

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

10 pi

Step-by-step explanation:

25 pi

20 pi

10 pi

5 pi

C is the answer

The area of the shaded sector of the circle will be 10π units².

Area of a sector of a circle = θ/360 × πr², where r is the radius of the circle and θ is the central angle.

As per the question, QR = 5 and m∠RQS = 4π/5 = 144°.

As per the given question given data:

θ = 4π/5

r = QR = 5

Substitute the values in the formula to get:

Area of sector of a circle = 144/360 × π(5)²

Area of sector of a circle = 1/4 × π(25)

Apply the multiplication operation, and we get

Area of a sector of a circle = 10π units²

Thus, the area of the shaded sector of the circle is 10π units².

Learn more about the area of a sector here:

brainly.com/question/22972014

#SPJ2

The question seems to be incomplete the correct question would be:

In circle Q, QR = 5 and m∠RQS = 4π/5. Find the area of the shaded sector.

Express your answer as a fraction times pi.

Answer:

37 boxes

Step-by-step explanation:

At first, Dymin had some boxes. Let x be the starting number of boxes.

Then, she bought 7 more boxes. Let y be the new number of boxes that she had.

y = x + 7

Next, her little brother destroyed half of them. It means half of y. So, the number of boxes left is

Number of boxes = y/2

The number of the boxes left is 22 boxes. Then, we can use the equation above.

Number of boxes = 22

y/2 = 22

Substitute y = x + 7 into the equation.

(x + 7)/2 = 22

x + 7 = 44

x = 44 - 7

x = 37

Thus, Dymin has 37 boxes at first.

Answer:

The answer is B.

Step-by-step explanation:

You have to apply gradient formula by using coordinates :

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

Let (x1,y1) be (-14,-13),

L3t (x2,y2) be (7,0),

[tex]m = \frac{0 - ( - 13)}{7 - ( - 14)} [/tex]

[tex]m = \frac{13}{21} [/tex]

Answer:

1. A

2. B

3. B

Step-by-step explanation:

1. 180+57-94= 29

2. 4x + 7 + 97 + 180 - 17x - 13 = 180

-13x = -91

x = 7

3. 180 - 64-38 = 78

180-78 =. 102

Answer:

A) 29°

B) 7°

B) 102°

Step-by-step explanation:

1. ------------------------

2.  ------------------------

3.  ------------------------

Answer: yes

Step-by-step explanation: A translation is a transformation that slides a figure to a new position.

So in this problem, notice that we can slide the triangle on the top to the position of the triangle on the bottom.

So, this represents a translation.

Answer:

-2/3

Step-by-step explanation:

Perpendicular slopes have lines that multiply to -1

m* 3/2 = -1

Multiply each side by 2/3

m* 3/2 * 2/3 = -1 * 2/3

m = -2/3

The slope of the perpendicular line is -2/3

Answer:

The answer is B

I use an online graphing calculator called Desmos. You should check it out some time :)

Answer:

First number:15

Second number: 7

Step-by-step explanation:

To find the 2 numbers, we can use system of equations.

Let's use x for the first number and y for the second number. Our first equation would be:

x-y=8

This equation comes from the first sentence: the difference of the 2 numbers is 8. The second equation would be

2x+3y=51

This equation comes from the second part of the question.

We can use elimination method to find x and y.

x-y=8

2x+3y=51

Let's eliminate x. To do so, the x in both equations must be equal to each other. Since one is x and another is 2x, we must multiply the first equation by 2 to get the same x.

2x-2y=16

2x+3y=51

Now that the x are the same, we can subtract the equations.

-5y=-35

y=7

With our y value, we can find x by plugging y into any of the equations.

x-7=8

x=15

Since we found our x and y, the first number is 15 and the second number is 7.

Answer:

C = 40 + 0.17M

Step-by-step explanation:

Total monthly charge = Fixed base fee + charge per minute*total number of minutes

C = 40 + 0.17*M

C = 40 + 0.17M

Answer:   Z²+ 9Z + 8

Step-by-step explanation:

You take the two z's and times them to get Z² then you do the Z times 1 to get  1Z then you do the Z times 8  to get 8Z then you take the 8 times 1 and get 8 so then you add the like terms. You add 1Z and 8Z and you get 9Z.  The you put it in standard form to get Z²+9Z+8

Answer:

m<B = 44

Step-by-step explanation:

Since AB is a diameter, then angle C is a right angle.

That makes angles A and B complementary angles.

m<A + m<B = 90

46 + m<B = 90

m<B = 44

Answer:

B = 44

Step-by-step explanation:

The sum of the angles of a triangle is 180

A + B+ C = 180

<C = 90 since it is 1/2 of the intercepted arc which is 180

46+ B + 90 = 180

136 + B = 180

B = 180-136

B =44

Answer:

1500 grams

Step-by-step explanation:

A= P(0.5)^t

A=3000(0.5)^1

A=1500

[tex]answer \\ \sqrt{208} \\ solution \\ hypotenuse = c \\ perpendicular = 8 \\ base = 12 \\ using \: pythagoras \: theorem \\ {h}^{2} = {p}^{2} + {b}^{2} \\ or \: {c}^{2} = {8}^{2} + {12}^{2} \\ or \: {c }^{2} = 64 + 144 \\ or \: {c}^{2} = 208 \\ c = \sqrt{208} \\ hope \: it \: helps[/tex]

Answer:

[tex]y = \frac{5}{2} x^{2}[/tex]

Step-by-step explanation:

When you scale a parabola vertically, you multiply the [tex]x^{2}[/tex] by what you are scaling it vertically by.

For example, say you have  [tex]y = 8x^{2}[/tex]. That means that  [tex]y = x^{2}[/tex] was scaled vertically by a factor of 8.

I hope this helps!

Answer:

y = x + 2

Step-by-step explanation:

slope = 1

y = mx + b

4 = 1(2) + b

2 = b

y = x + 2

True if the lines were not vertical this would be false.

Answer:

1232

Step-by-step explanation:

13/91= 176/x

1/7=176/x

x= 176*7

x= 1232 bass

Answer:

$468

Step-by-step explanation:

I = P*R*T

I = 300*0.04*14

I = 168

168 + 300 = 468

Answer:

The values of F will be "16.58 i + 11.18 j".

Step-by-step explanation:

The given values are:

Force, F = 20 N

Angle, Ф = 33°

The formula use in the given scenario will be:

⇒  [tex]x=a \ Cos\theta[/tex]

⇒  [tex]y=a \ Sin\theta[/tex]

Now,

For Force, [tex]F=ai+bj[/tex]

⇒  [tex]a=F \ Cos\theta[/tex]

⇒     [tex]=20 \ Cos(34^{\circ})[/tex]

⇒     [tex]=20\times .829[/tex]

⇒     [tex]=16.58[/tex]

and,

⇒  [tex]b=F \ Sin\theta[/tex]

⇒     [tex]=20 \ Sin(34^{\circ})[/tex]

⇒     [tex]=20\times .55[/tex]

⇒     [tex]=11.18[/tex]

So that,

⇒  [tex]F=16.58 \ i+11.18 \ j[/tex]

Answer:

2.88449914

Step-by-step explanation:

Step-by-step explanation:

Given that the formula of gradient is :

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

So you have to try for every coordinates :

Option A,

[tex] \frac{6-(-2)}{-1-4} = - \frac{8}{5} (incorrect) [/tex]

Option B,

[tex] \frac{8-(-2)}{-1-4} = -2 (correct) [/tex]

Option C,

[tex] \frac{10-(-2)}{-1-4} = - \frac{12}{5} (incorrect) [/tex]

Option D,

[tex] \frac{12-(-2)}{-1-4} = - \frac{14}{5} (incorrect) [/tex]

Answer:

64.89£

Step-by-step explanation:

Given:

Theater ticket costs £63

Booking fee: 3% of original price

Solve for:

Total price of ticket

Solution:

Step 1: Select relevant procedure

The total price including the booking fee, then before working out the total price, the booking fee should be calculated.

Step 2: Perform the calculation

The booking fee of ticket is calculated by:

BF = 3% of £63 or (3/100) x 63 = 1.89

Adding up the ticket price and booking fee to get total price:

Total price = ticket price + booking fee = 63 + 1.89 = 64.89£

Hope this helps!

:)

Answer:

Step-by-step explanation

Cluster- a group of points that close together

symmetry- data is balanced on opposite sides of  a point or line

spread- how close or far apart the values are in  a data set

center- the middle of a data set

gap- a space between data values

Answer:

A) KJ AND JH

Step-by-step explanation:

EF = JH  The three lines indicate they are equal

EK = GH  The one line indicates they are equal

KJ = FG  The two lines indicates they are equal

Answer:

A) KJ and JH

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

If this is a regular hexagon, the sides have the same length

3y +19 = 6y+1

Subtract 3y from each side

3y+19-3y = 6y-3y+1

19 = 3y+1

Subtract 1 from each side

19-1 = 3y+1-1

18 = 3y

Divide each side by 3

18/3 = 3y/3

6 =y

ST = 6y+1

     =6*6+1

     =36+1

     = 37

Answer:

37 units

Step-by-step explanation:

sides are equal

3y+19=6y+1

3y= 18

y= 6

3y+19= 3*6+19= 37

QR=ST= 37 units