Customers who join a store's rewards program are invited to spin a wheel and earn a prize. The wheel is divided into eight same-sized sections, and three of those sections represent winning a gift certificate. Assuming the wheel is fair, approximately how many gift certificates are likely to be won if 528 customers spin the wheel?

A. 198 gift certificates
B. 176 gift certificates
C. 144 gift certificates
D. 66 gift certificates.

Please show your work and tell me how you figured it out.

9.

no

he has to put -484 to the left of the equal sign too

z + 484 -484 = 964 - 484

z = 480

10.

a.

310,000 + x = 465,000

x = 465,000 - 310,000

x = 155,000

b.

310,000x = 930,000

x = 930,000 ÷ 310,000

x = 3

The price that John would pay for the new laptop after accounting for the sales, price coupon and the sales tax is  0.72p.

After the sales price and coupon is applied, the price of the laptop would reduce.

Price after the sales price = (1 - 0.2) x p = 0.8p

Price after the coupon = (1 - 0.15) x 0.8p

0.85 x 0.8p = 0.68p

A tax increases the price of the laptop.

Price after the tax = (1 + 0.06) x 0.68p = 1.06 x 0.68p = 0.72p

To learn more about taxes, please check: https://brainly.com/question/25311567

#SPJ1

Answer:

Step-by-step explanation:

Evaluate the following expression when

t=5 when t^2-2t-2

replace t with 5 and remember PEMDAS

5² - 2 * 5 - 2 =

25 - 10 - 2 =

13

Answer:

when t=5

5² - 2×5 -2 = 13

hope it's right

The speed when the power is 2000watts is 22.5m/s

If the power, P (watts), of a car engine is proportional to the square of its

speed, s(m/s), this is expressed as:

P = k/s

When s=25, P=1800 then;

1800 = k/25
k = 25 * 1800
k = 4500

In order to calculate the speed when the power is 2000;

s = k/p
s= 4500/2000
s = 22.5m/s

Hence the speed when the power is 2000watts is 22.5 m/s

Learn more on inverse here: https://brainly.com/question/3831584

#SPJ1

Answer:

17, 27, 37, 47, 57, 67, 87, 97.
8

Step-by-step explanation:

all are 2 digit numbers with exactly one 7 in each.

Answer:

8

Step-by-step explanation:

Answer:

Looking at the question, we are given two points and we need to determine the line that passes through both of these points.  The first step to solving this problem is to find the slope.

[tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

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

[tex]slope=\frac{6}{2+1}[/tex]

[tex]slope=\frac{6}{3}[/tex]

[tex]slope=2[/tex]

Now that we found the slope, we can move onto the next part which is to use the point-slope formula to determine our correct straight line.

[tex](y-y_1)=m(x-x_1)[/tex]

[tex](y-2)=2(x-(-1))[/tex]

[tex]y-2=2(x+1)[/tex]

[tex]y-2=2x + 2[/tex]

[tex]y- 2 + 2=2x + 2 + 2[/tex]

[tex]y=2x + 4[/tex]

Therefore, our straight line that passes through the two points that were provided in the problem is [tex]y=2x + 4[/tex].

Hope this helps!  Let me know if you have any questions

Answer:

36 units

Step-by-step explanation:

area of right angle triangle =1/2* b*h.

by counting the square,b=8 units and h=9 units

therefore,area 1/2* 8units * 9units

1/2*72units^2

36units^3

Count the marbles in the jar:

9 spotted ones

6 purple

10 green

25 total

a) 10/25 = 2/5

B) 19/25

C) 9/25 x 9/25 = 81/625

D) 2/5 x 6/25 = 12/125

E) 6/25 x 19/25 = 114/625

F) 6/25 x 5/24 = 1/20

G) 19/25 x 18/24 = 57/100

H) 6/25 x 14/24 = 7/50

Answer:

Step-by-step explanation:

Q8.

Let h be the height of the flagpole

     x be the distance between point P and the flagpole.

8.1.

tan(53) = h/x

⇒ h = xtan(53)   (1)

On the other hand ,

tan(28) = h/(x+20)

⇒ h = (x+20)tan(28)   (2)

Let’s equate equation so (1) and (2) :

⇒ xtan(53) = (x+20)tan(28)

⇒ x = 20tan(28) ÷ (tan(53) - tan(28)) = 13.370697151775

from (1) , we have :

h = xtan(53)

  = 13.370697151775×tan(53)

  = 17.743514416718

8.2.

Area ABCD = area ABD + area BCD

area ABD = (1/2) AB AD sin(BAD)

                = (1÷2)×11×7×sin(110)

                =36.178165900258

area BCD =  (1/2) DB DC sin(BDC)

firsly , we need to calculate DB (using the law of cosines I need triangle ABD) :

DB² = AB² + AD² - 2AB AD cos(110)

      = 11^2+7^2-2×11×7×cos(110)

      = 222.671102072153

Then

DB = √(222,671102072153)

     = 14.92216814247

Going back ,

area BCD =  (1/2) DB DC sin(BDC)

                = (1÷2)× (14,92216814247)×16×sin(40)

                =76.734278333111

Conclusion :

Area ABCD = area ABD + area BCD

                   = 36.178165900258+ 76.734278333111

                   = 112.912444233369

There are many rules that apply to operations involving exponents. In this question, we'll need the following:

We're given:

[tex]z^{21}\div z^7=z^k[/tex] (solve for k.)

⇒ Rewrite as a fraction:

[tex]\dfrac{z^{21}}{z^7}=z^k[/tex]

⇒ Use the division rule:

[tex]z^{21-7}=z^k\\z^{14}=z^k\\14=k[/tex]

Therefore, the value of k is 14.

k = 14

Answer: 50

Step-by-step explanation: hello the answer is 50

Answer:

[tex]\large \boxed{ \sf y=-0.3\left|x-0\right|-7}[/tex]

Explanation:

Absolute value of a graph formula:

Identify the vertex : (h, k) = (0, -7)

As the graph opens downward, take negative/fall coordinates.

Two points: (0, -7), (10, -10)

[tex]\sf Find \ slope \ (a) : \sf \ \dfrac{y_2 - y_1}{x_2- x_1} \ = \ \dfrac{-10-(-7)}{10-0} \ = -0.3[/tex]

Put them together: [tex]\bf y = -0.3|x - 0| -7 \ \ \ \approx \ \ y = -0.3|x| - 7[/tex]

Answer:

[tex]g(x)=-\dfrac{3}{10}|x|-7[/tex]

Step-by-step explanation:

Translations

For [tex]a > 0[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]

[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis by a factor of}\:a[/tex]

[tex]y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}[/tex]

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

Parent function:  [tex]f(x)=|x|[/tex]

From inspection of the graph, the transformed function has been reflected in the x-axis.

[tex]\implies -f(x)=-|x|[/tex]

The vertex of the parent function is the origin (0, 0).  The vertex of the transformed function is at (0, -7).  Therefore, there has been a translation of 7 units down.

[tex]\implies -f(x)-7=-|x|-7[/tex]

From inspection of the graph, we can see that it has been stretched parallel to the y-axis:

[tex]\implies -a\:f(x)-7=-a|x|-7[/tex]

The line goes through point (10, -10)

Substituting this point into the above equation to find [tex]a[/tex]:

[tex]\implies -a|10|-7=-10[/tex]

[tex]\implies -10a=-3[/tex]

[tex]\implies a=\dfrac{3}{10}[/tex]

Therefore,

[tex]\implies g(x)=-\dfrac{3}{10}|x|-7[/tex]

Answer:

30

Step-by-step explanation:

Answer:

2400mi/1 hr is the

answer

Answer:

2400 miles / per hour

Step-by-step explanation:

40 mi                     X

______          _______________

1 minute   =      1 hr ( 60 minutes)

multiply 1 minute on bottom by 60 to get 60 minutes

so multiply the top by 60 (always do same to top and bottom)

40 mi. x 60 = 2400 miles

Answer:

1

Step-by-step explanation:

4-3 = 1

Answer:

1

Step-by-step explanation:

4-3=1

If you had 4 lollipops and you gave your friend 3 lollipops, how many would you have? 4-3=1 You could try it out at home.

Answer:

See below

Step-by-step explanation:

Standard form of  h,k centered circle

(x-h)^2 + (y-k)^2 = r^2

for this circle center, h,k = 2,-13    radius = sqrt (150)= 5 sqrt 6

Answer:

Center: (2,-13)

Radius: 12.14744871

Step-by-step explanation:

Answer:

145

Step-by-step explanation:

you add the trucksiuts sold on monday Tuesday Wednesday and subtrct the from the total tracksuits .

Answer:

Angle E equals 45 degrees and angle J equals 35 degrees.

If all angles of two triangles match up with one another, then you have yourself a pair of two similar triangles.

Hope it helps, have a fantastic day.

Step-by-step explanation:

We all know from geometry that all the angles of a triangle add up to 180 degrees.

We can form the following equation:

[tex]100 + 35 + E = 180[/tex]

[tex]E[/tex] here represents the measure of angle E.

Add together like terms:

[tex]135 +E = 180[/tex]

Then subtract 135 from both sides:

[tex]E = 45[/tex]

We can, likewise, form another equation for angle J :

[tex]100 + 45 + J = 180[/tex]

Add together like terms:

[tex]145 +J = 180[/tex]

Then subtract 145 from both sides:

[tex]J = 35[/tex]

Angle E equals 45 degrees and angle J equals 35 degrees.

If all angles of two triangles match up with one another, then you have yourself a pair of two similar triangles.

Answer:

Because alkylating agents effectively sterilize materials at low temperatures but are carcinogenic and may also irritate tissue.

Step-by-step explanation:

Answer:

Step-by-step explanation:

(-1, 1)  (1, -3)

(-3 - 1)/(1 + 1)= -4/2 = -2

y - 1 = -2(x + 1)

y - 1 = -2x - 2

y = -2x - 1

answer is A

Answer: 4 ways because 4 times four is 18

Step-by-step explanation:

Answer: 7315 (i think this is right)

Answer:

When you are reflecting a point, you are reversing its' axes. In this case, the reflection of (-6,-3) is (6,3).

Step-by-step explanation:

PLEASE MARK BRAINLESS

Randomization allows a sample or small groups with similar characteristics to determine a probability or to hypothesize an event, that is why this type of sample is important in an experiment, that is, to carry it out in a random way.

Randomization allows a sample or small groups with similar characteristics to determine a probability or to hypothesize an event, that is why this type of sample is important in an experiment, that is, to carry it out in a random way.

If a crop at a certain time of year, for example in summer, is affected by a certain fungus, to know if it is really the time of year that affects this problem, random samples of the same crop with the same characteristics and put it to the test at another time of the year to see if the weather is really a risk factor in the spread of this fungus.

To know more about randomization follow

https://brainly.com/question/13219833

#SPJ1

Answer:

2,772 m^2

Step-by-step explanation:

First you would need to convert the cm to m before multiplying L times W in order to get the area. 28 x 3 is 84 and 11 x 3 is 33. Then you would multiply 84 x 33 in order to get 2,772.

Answer:

first 2 I'm not sure about. for the first one I think its 0.5 if that's an option

Answer:

[tex]m = 0.664[/tex]

Step-by-step explanation:

We were given the equation: [tex]2.1 + 10m = 8.74[/tex]and we were asked to solve for m. Therefore we have to ensure m the subject of the formula.

[tex]2.1 (-2.1) + 10m = 8.74 (-2.1) \\ \\ 10m = 8.74 - 2.1 \\ \\ 10m = 6.64 \\ \\ \frac{10}{10} m = \frac{6.64}{10} \\ \\m = 0.664[/tex]

Answer: Heyaa! :D

Your Answer Is... m= 0.664

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Hopefully this helps you!

-Matthew (HAVE AN AMAZING DAY)

Answer:

3.9 to nearest tenth.

Step-by-step explanation:

Using the theorem of intersecting chords:

9 * y = 5 * 7

y = 35/9

= 3.888...

Answer:

you'll get a 75%

Step-by-step explanation:

all you have to do is

divide 679/901

and you get 0.75%

The number of infected banana plants with a rate of 8% will be in 8 years is 848.

Consider the function:

y = a(1 + r)ˣ

where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

A blight is spreading on a banana plantation. Currently, 458 banana plants are infected.

If the disease is spreading at a rate of 8% each year.

Then the number of the plants that will be infected in 8 years.

Then the exponential function is given as

y = 458(1.08)ˣ

At x = 8, then we have

y = 458(1.08)⁸

y = 458 x 1.851

y = 847.73

y ≅ 848

Learn more about exponential growth and decay here:

https://brainly.com/question/2193820

#SPJ1