Luca decides to play Wheel of Letters. To play the game, contestants spin a wheel with 26 equal sections, lettered A through Z. If the pointer lands on any letter in the phrase "County Fair," the contestant wins a prize. What is the probability that Luca will win Wheel of Letters? Your answer must be simplified

Answer:

7325.34

Step-by-step explanation:

Answer:

Step-by-step explanation:

a)7x + 2 = -19  {subtract 2 from both sides}

7x + 2 -  2 = -19 - 2

            7x = -21   {Divide both sides by 7}

         7x/7 = -21/7

             x = -3

b) 3x - 1/3 = 5

3x - 1/3 +1/3 = 5 + 1/3  {Add 1/3 to both sides}

               3x =15/3 + 1/3

               3x =16/3

             3x/3 = 16/3*3 {Divide both sides by 3}

                 x =16/9

                 x =1 7/9

c) 5x - 4  = 21

5x -4 + 4 = 21 +4 {Add 4 to both sides}

          5x = 25

       5x/5 = 25/5    {Divide both sides by 5}

            x = 5

d) -7x  = 21 {Divide both sides by -7}

-7x/-7 = 21/-7

        x = -3

e)   18 - 7x = -3

18 - 7x - 18 = -3 - 18   {Subtract 18 from both sides}

          -7x = -21   {Divide both sides by -7}

      -7x/-7 = -21/-7

              x = 3

f)     3(x+4) = 21   {use distributive property}

   3x + 3*4 = 21

    3x  + 12 = 21

3x + 12 - 12 = 21 - 12       {Subtract 12 from both sides}

              3x = 9   {Divide both sides by 3}

           3x/3 = 9/3

                 x = 3

g)     3x - 9 = 5x - 3  {add 9 to both sides}

 3x - 9 + 9 = 5x - 3 + 9

             3x = 5x + 6

       3x - 5x = 5x + 6 - 5x     { subtract 5x form both sides}

             -2x = 6  {Divide both sides by -2}

         -2x/-2 = 6/-2

                 x = -3

h) 4x + 6 - 7x + 9 = 18   {Add the like terms}

           -3x  + 15 = 18  {Subtract 15 from both sides}

      -3x + 15 -15 = 18 - 15

                    -3x = 3   {Divide both sides by -3}

               -3x/-3 = 3/-3

                      x = -1

[tex]i) \frac{-4}{9}x = -36[/tex]

Multiply both sides by 9

[tex]9*\frac{-4}{9}x =9*-36[/tex]

 -4x = -324     {Divide both sides by -4}

-4x/-4 = -324/-4

       x = -81

[tex]j)\frac{-7}{8}x - 6 = 8[/tex]   {Add 6 to both sides}

[tex]\frac{-7}{8}x-6+6=8+6\\\\\frac{-7}{8}x=14\\[/tex]    {Multiply both sides by 8}

[tex]\frac{-7}{8}x*8=14*8\\\\-7x=14*8\\[/tex]       {Divide both sides by -7}

[tex]\frac{-7}{-7}x=\frac{14*8}{-7}[/tex]

x =-2*8

x = -16

Answer:

82 degrees

Step-by-step explanation:

First set 10x+8 equal to 12x-10 to find that the variable is equal to 9. Then solve for 10(9)+8 which equals 98. Since angle 1 is supplementary to angle two and supplementary angles add up to 180 degrees, subtract 98 from 180 to find that your answer is 82 degrees.

Answer:

-0.5 or -1/2 or A

Step-by-step explanation:

180 degrees is Pi radians.  To find out what the measure is in the paranthesees, divide 180 by 6 and get 30.  Now multiply it by 7 to get 210.  The question is asking for the sin(210).  The sin of 210 is -0.5

Answer:

22.7 miles

Step-by-step explanation:

The hikers start walking 15 miles due east and then they turn north and walk 17 miles to a large pond.

The shape of their journey can be represented as a right angled triangle, shown below.

To find the distance between the pond and the base camp, we need to find the hypotenuse of the triangle.

We can do this by using Pythagoras theorem:

[tex]hyp^2 = a^2 + b^2[/tex]

where a and b are the other two sides of the triangle. Therefore:

[tex]hyp^2 = 15^2 + 17^2\\\\hyp^2 = 514\\\\hyp = \sqrt{5`4} \\\\hyp = 22.7 miles[/tex]

The pond is 22.7 miles far from the base camp.

Answer:

6

Step-by-step explanation:

idk

Answer:

No

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

[tex]i^1\cdot i^2\cdot i^3\cdot i^4= \\\\i^{1+2+3+4}= \\\\i^{10}= \\\\-1[/tex]

Hope this helps!

Answer:

A. 55h + 275 = 440; h=3

Step-by-step explanation:

Since all answer choices have a different H= , finding how many hours you have left to drive will give you the right answer.

You've already driven 275 miles in your 440 mile trio so you can subtract the 275 to find out how much you will still need to drive.

440 - 275 = 165

You already know that you are driving at 55 mph so divide 165 by 55 and the answer is three.

Option A was the only answer choice which listed h=3 so that is the correct answer.

Answer: D . No association

Step-by-step explanation:

The relationship between two variable is called correlation.

Hence, the correct option is D. No association.

Hi There. (Choice D) Is The Right Answer.

Step-by-step explanation:

Answer:

375000 ft^2

Step-by-step explanation:

From the statement that we have that it would be 1 time the length and 2 times the width because one side is not necessary and also we must take into account that it would be divided by 3 equal enclosures therefore we will use 1000 feet (3000/3) so Therefore, the perimeter would be equal to:

1000 = l + 2 * w

we solve for w:

l = 1000 - 2 * w

Also the area is equal to:

A = w * l

replacing:

A = w * (1000 - 2 * w)

A = 1000 * w - 2 * w ^ 2

We derive:

A '= 1000 - 4 * w

Let's equal 0:

1000 - 4 * w = 0

w = 1000/4

w = 250

replacing and we calculate l:

l = 1000 - 2 * 250

l = 500

A = 250 * 500

A = 15,000 ft ^ 2

Which means that for each subdivision the maximum area would be 125000 square feet and the total would be:

125000 * 3 = 375000 ft ^ 2

Answer:

Step-by-step explanation:

The diameter of each curved path is 200 feet. Since the two curved semi circular paths are equal, they would form a circle. It means that the distance around the two semi circular paths would be the circumference of the circle. Formula for determining the circumference of the circle is π × diameter. It becomes

200 × 3.14 = 628 feet

Total distance around the track would be

300 + 300 + 628 = 1228 feet

5280 feet = 1 mile

1228 feet = 1228/5280 = 0.23 mile

If he runs around the track exactly 15 times, it means that the number of miles covered is

0.23 × 15 = 3.45 miles

Since he will collect $4.50 for every mile he runs, the amount of money that he collected is

4.5 × 3.45 = $15.5

Answer:

7 7/24

Step-by-step explanation:

first put the wholes inside the fraction:

[tex]1 \frac34 = \frac44 + \frac34 = \frac74[/tex]

[tex]4 \frac16 = \frac{24}{6} + \frac16 = \frac{25}{6}[/tex]

Then multiply numerator times numerator, denominator times denominator and take out wholes again:

[tex]\frac74 \times \frac{25}{6} = \frac{7 \times 25}{4 \times 6} = \frac{175}{24} = 7 \frac{7}{24}[/tex]

they represent linear equations

The two equations, 4x + 2y = 10 and 4x - 2y = -10, represent a system of linear equations.

The equations are written in standard form, where x and y are variables, and the coefficients 4, 2, -10, and -2 are constants. Each equation represents a linear relationship between x and y.

The coefficients in front of x and y determine the slope of the line, and the constants on the right side of the equations determine the y-intercept.

Solving this system of equations simultaneously can determine the values of x and y that satisfy both equations, representing the point(s) where the two lines intersect, if they intersect at all.

Learn more about linear equations.  at:

https://brainly.com/question/2030026

#SPJ2

Answer:

His 55 kg of cement is 5 kg short of the 60 kg he needs.

Step-by-step explanation:

Let r be a ratio useful in determining how much of each ingredient Henry needs:

4/8 of the mix is cement, 3/8 is sand and 1/8 is gravel.

4/8 of the total 120 kg must then be 60 kg made up of cement;

3/8                                 must then be 45 kg made up of sand; and

1/8                                   must then be 15 kg made up of gravel

His 55 kg of cement is 5 kg short of the 60 kg he needs.

Answer:

86cm

Step-by-step explanation:

Answer:

Step-by-step explanation:

the first figure is rectangle , so

length = 15cm, breadth = 6cm

therefore area = l * b = 15*6 = 90cm^2

second figure is also a rectangle so,

length = 12+6 =18 cm ( or 9+9) , breadth = 9cm

therefore area = l*b =18*9 = 162cm^2

third figure is a semicircle , so

d = 11+9 = 20 cm  , r = d/2 =20/2 =10cm

area of semicircle = [tex]1/2[/tex] * [tex]\pi * r^2\\[/tex]

=1/2*22/7 *10*10

=1100/7 = 157 1/7 cm^2

if you add all the areas then you will get the requires area

hope it helps you

Answer:

For the 9% she invested $2,300

For the 10% she invested $2,500

Step-by-step explanation:

Let the amount invested be $x and $y in both cases respectively

Since the total invested is $4,800

This means that;

x + y = 4800 ••••••••••••(i)

Now let’s have a look at the interests.

For the 9%

Interest would be 9/100 * amount invested

= 9/100 * x = 9x/100

For the 10%, interest would be

10/100 * y = 10y/100

Adding both will give a total of 457

9x/100 + 10y/100 = 457

multiply through by 100

9x + 10y = 45700 •••••••• (ii)

From equation i, we can write x = 4800 - y

we can substitute this into the second equation

9(4800-y) + 10y = 45700

43200 -9y + 10y = 45,700

43200 + y = 45,700

y = 45,700-43,200 = $2,500

Recall

x = 4800 -y

so x = 4800 -2500 = 2300

Answer:

Given

Step-by-step explanation:

4x+2+6=0

4x+2=-6

4x= -6-2

4x= -8

x = -8/4

= -2

Answer:

x = -2

Step-by-step explanation:

[4x + 2] + 6 =0

Combine like terms

4x+ 8 =0

Subtract 8 from each side

4x+8-8 = 0-8

4x = -8

Divide each side by 4

4x/4 = -8/4

x = -2

Answer:

y=1/3x-3

Step-by-step explanation:

slope = (y2-y1)/(x2-x1)

Use the two points: (0,-3) (3,-2)

slope = (-3+2)/(0-3)

slope = -1/-3 = 1/3

y intercept = -3

Equation: y=1/3x-3

Answer:

These are two secant lines meaning we can use theorem 6-17 to find the value of x: 6x + 8x times 8x = 16 times 7

14x times 8x = 112

112x^2 = 112

x^2 = 1

x = 1

Answer:

x=1

Step-by-step explanation:

(whole secant) x (external part) =  (whole secant) x (external part)

(9+7) *7 = (6x+8x)*8x

16*7 = 14x*8x

112 =112 x^2

Divide by 112

112/112 = 112x^2/112

1 = x^2

Take the square root

1 =x

Answer:

20 counters.

Step-by-step explanation:

50/200 or 1/4 of the counters have white paint on them.

That means you can expect 1/4 of the 80 counters pulled out to have white paint on them or 20 counters.

Answer:

6^8

Step-by-step explanation:

When the equation looks like this, you can multiply the exponents to give you 6^8. I think that's the kind of answer you're looking for :)

Hope this helps you!

Solution,

Volume of the prism= l*b*h

=1 1/2*8*2 1/2

= 3/2*8*5/2

= 30 cubic units

Hope it helps

Good luck on your assignment

Answer:

11.7

Step-by-step explanation:

1 Cubic centimeter (cm3) is equal to 1 milliliter (mL). 1 Liter is equal to 1 cubic decimeter and there are 1000 cubic centimeters in a cubic decimeter, that makes 1 cubic centimeter equals to 1 milliliter.

Answer:

Внешний радиус

Тогда внутренний радиус

Объем материала равен разности объемов внешнего и внутреннего шаров, то есть

Answer:

1239.25 cm³

Step-by-step explanation:

Outer diameter 16 cm

⇒ R= 8 cm

Inner radius  

⇒ r= R- 2= 6 cm

The volume of the wall of 2 cm thickness:

⇒ 4/3πR³- 4/3πr³= 4/3*3.14*(8³-6³)= 1239.25 cm³

Answer:

0+8

Step-by-step explanation:

add 8 each time

it is 0 because in times table if you have 8, 16 and 24 then you don't need to add it on or take away from it, so it will be 0.

I hope that helped.

Answer:

275 ft

Step-by-step explanation:

The formula given to use for the slant height l of the cone is ;

l = (s - πr^2)/π

Now substituting the parameters given in the question, 500 π for area and radius of 15, we have

l = {500π-15^(2)π}/π

l =( 500 π -225 π)/π

l = 275 π/π

l = 275 ft

Answer:

275

Step-by-step explanation:

^ and what they said