The pizza restaurant down the street wants to advertise on its marquee sign the number of ways you can order a $10 pizza. The restaurant offers 18 toppings and for $10 you can order up to 4 toppings, meaning you can either order 1, 2, 3, or 4 toppings and you can’t order any toppings twice. Use this information to answer the following questions:

a. Is this a permutation problem, a combination problem, or a problem using both elements?
b. Determine how many ways you can order a pizza from the restaurant. Explain what strategies you used.
c. If there were no restriction on the number of toppings you could choose, how would that change the answer?

Answers

Answer 1

Answer:

Step-by-step explanation:

The Pizza Restaurant Down The Street Wants To Advertise On Its Marquee Sign The Number Of Ways You Can
The Pizza Restaurant Down The Street Wants To Advertise On Its Marquee Sign The Number Of Ways You Can

Related Questions

A group of random people were polled about whether they prefer to communicate using text messages or by phone calls. The results are shown in the conditional relative frequency table by row.


A 4-column table with 3 rows. The first column has no label with entries male, female, total. The second column is labeled text with entries 0.57, 0.46, 0.50. The third column is labeled call with entries 0.43, 0.54, 0.50. The fourth column is labeled total with entries 1.00, 1.00, 1.00.


What is the probability of someone preferring phone calls, given the person is a female?


43%

46%

54%

57%

Answers

Answer:

C. 54%

Step-by-step explanation:

Answer:

C. 54%

Step-by-step explanation:

which of the following equations is an example of direct variation?

Answers

Answer:

C

Step-by-step explanation:

[tex] \frac{x}{3} [/tex]

Which of the following is a solution of y + x < -5?
(-2, -3)
(-4, -2)
(-3, -2)
(-1, -3)
i need help ASAP. troll answers WILL be deleted.

Answers

(-2, -3) || -3 + -2 < -5 || -5 < -5 || FALSE

(-4, -2) || -2 + -4 < -5 || -6 < -5 || TRUE

(-3, -2) || -2 + -3 < -5 || -5 < -5 || FALSE

(-1, -3) || -3 + -1 < -5 || -4 < -5 || FALSE

Correct Answer: (-4, -2)

Hope this helps!

Answer:

(-1,-3)

Step-by-step explanation:

(x,y)

it's not hard just plug in the coordinates for x and y ;-;

-2 is x, -3 is y

-3+-2<-5

-5<-5? false.

-4 is x, -2 is y

-2+-4<-5

-6<-5? false.

-3 is x, -2 is y

-3+-2<-5

-5<-5? false

-1 is x, -3 is y

-1+-3<-5

-4<-5? true

hopefully you found out the pattern in how to do this if you did not know. or if you simply were too l a z y to do it urself I understand that as well. have a great day!

A point has
the coordinates (m, 0) and m + 0.
Which reflection of the point will produce an image located at (0, -m)?
• a reflection of the point across the x-axis
O a reflection of the point across the y-axis
O a reflection of the point across the line y = X
a reflection of the point across the line y = -X

Answers

Answer:

A reflection of the point across the line y = -x

Step-by-step explanation:

General rule for reflection across line  y = -x is

(a,b) -------> (-b , -a)

Find the volume of the cylinder. Round to the nearest tenth.

Answers

Answer:

V = 56.5 mi^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h where r is the radius and h is the height

V = pi ( 3)^2 (2)

V = 18 pi

Letting p = 3.14

V = 56.52 mi^3

Rounding to the nearest tenth

V = 56.5 mi^3

Help: A marching band is rehearsing. 4/5 of the marching band members play percussion instruments. 4/6 of the percussionists play the snare drum. What fraction of all the band members play the snare drum.

Answers

Answer: 1.2/5 Marching band members play the snare drum.

Step-by-step explanation:

4/5 Band Members Play Percussion Instruments. (80%)

4/6 Play The Snare Drum. (66% of the 80%)

1/5 Band Members Do NOT play percussion. (20%)

80 - 66 = 14%

14 + 20 = 24%

1/5 = 20%

1.5/5 = 30%

1.2/5 = 24%

1.2/5 Marching band members play the snare drum.

Nishi invests £3200 at 6% interest per year. Work out how much she will have altogether after: 2 years ​

Answers

SI = P×R×T/100

(3200×6×2)/100

= 384

Now 3200 + 384

= Euro 3584

im stuck between B and D please help

Answers

Answer:

maybe it's D ( not sure tho)

4.

The table shows the estimated number of deer living in a forest over a five-year period. Are the data best represented by a linear, exponential, or quadratic model? Write an equation to model the data.


A. quadratic; y = 0.62x2 + 89

B. exponential; y = 89 • 0.62x

C. linear; y = 0.62x + 89

D. quadratic; y = 89x2 + 0.62

Answers

Answer:

B. exponential; y = 89 • 0.62x

Step-by-step explanation:

Answer:

exponential; y = 89 • 0.62^x

...............................................................................................................................................

Answer:

Option B exponential y = 89 · 0.62x

Step-by-step explanation:

The table shows the estimated number of deer living in a forest over a five year period.

Year            Number of deers

0                     89

1                      55

2                     34

3                     21

4                     13

Now we have to find the model representing this situation. Difference in number of deer, in the forest.

We can see there is a common ratio between each successive term r =  = 0.618

r =  = 0.618

so it can be represented by an exponential model.

Option B is the answer.

...............................................................................................................................................

HELP ME ASAP PLEASEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

y = 3x ..... 1:3

y=9x  ...... 1:9

Step-by-step explanation:

Classify this triangle



A) Acute scalene triangle
B) Obtuse isosceles triangle
C) Right isosceles triangle
D) Right scalene triangle

Answers

Answer C Right Isosceles Triangle

Step-by-step explanation:

Do it

Answer: C

Step-by-step explanation:

It has a 90 degree angle, right triangle, and both legs in the triangle seem to be the same size, so it's also isosceles.

Find the slope (-2,5),(2,9)

Answers

Answer:

1

Step-by-step explanation:

Let,

x1 = - 2

y1 = 5

x2 = 2

y2 = 9

Formula : -

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

Slope

= ( 9 - 5 ) ) / ( 2 - ( - 2 )

= 4 / 4

= 1

Answer:

slope is 1

Step-by-step explanation:

from (-2, 5) to (2,9)

slope m= (y2-y1) / (x2-x1) = (9-5) / (2- -2) = 4 / 4 =1

*

you can think of how do you get from one point to the other

first point  (-2, 5) go to second point  (2,9)

-first on the  y-axis (vertical) you start at 5 and go four up to get to 9  

-second on the x-axis (horizontal) you start at -2 and go four right to get to 2

slope = change in y / change in x = four up /four right = 4/4 = 1

-moving down or to the left will make the numbers negative

What is the estimated value of 2v12 . 3V5 / V30 . V36

Answers

Answer:

the correct answer is b and I know this because I just had it

Solve for . Round to the nearest tenth of a degree, if necessary.
3.9
2.2
Answer: 2 =
Submit Answer
attempt 1 out of 2
PLSSS HELp

Answers

Answer:

x = 60.6

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp /adj

tan x = 3.9/ 2.2

Taking the inverse tan of each side

tan ^-1 (tan x )=  tan ^-1(3.9/ 2.2)

x=60.57254

To the nearest tenth

x = 60.6

Terri is buying some candy at the corner store. There, small candies cost 10 1 point cents each and large ones cost 25 cents each. Terri bought 52 candies and spent $8.05. A system of equations describing this situation could be written in the form below where S represents the number of small candies and L represents the number of large candies. What is the sum of A, B, C and D? *​

Answers

hi my name how are you home work sind

Joanna bakes a cake in the shape of a

cylinder. The cake is 10 inches in

diameter and 4.5 inches tall. She

wants to put frosting on the entire

cake that is not resting on the tray.

How many square inches of frosting

will she need? im confused on how to do the work. please answer quickly

Answers

Answer:

total surface area  = 298.45105 m2

lateral surface area = 141.37155 m2

top surface area = 78.53975 m2

bottom surface area = 78.53975 m2

Step-by-step explanation:

Joanna will need approximately 298.3 square inches of frosting to cover the entire cake.

To calculate the amount of frosting Joanna will need for the entire cake, we first need to find the surface area of the cylindrical cake.

The formula for the surface area of a cylinder is given by:

Surface Area = 2πr² + 2πrh

Where r is the radius of the base and h is the height of the cylinder.

Given that the diameter of the cake is 10 inches, we can find the radius by dividing it by 2: r = 10/2 = 5 inches.

Plugging in the values, we have:

Surface Area = 2π(5)² + 2π(5)(4.5)

Simplifying the equation:

Surface Area = 2π(25) + 2π(22.5)

Surface Area = 50π + 45π

Surface Area = 95π

To find the actual numerical value, we can approximate π as 3.14:

Surface Area ≈ 95 * 3.14

Surface Area ≈ 298.3 square inches

To learn more about cylinder click on,

https://brainly.com/question/24309865

#SPJ2

Tìm hai số có tổng là 177. Nếu bớt số thứ nhất đi 17 đơn vị và thêm vào số thứ 25 đơn vị thì số thứ nhất sẽ bằng 2/3 số thứ 2

Answers

Trả lời:

86 và 91

Giải thích từng bước:

Cho hai số là x và y. Nếu tổng của chúng là 177, thì;

x + y = 177 ... 1

Nếu 17 bị trừ đi số đầu tiên, nó được biểu thị là x - 17

Nếu 25 được thêm vào số thứ hai l, nó được biểu thị bằng y + 25

Nếu số thứ nhất bây giờ bằng 2/3 số thứ hai, thì:

x-17 = 2/3 (y + 25) .... 2

Từ 1, x = 177-y ... 3

Thay thế 3 thành 2

177-y-17 = 2/3 (y + 25)

160-y = 2/3 (y + 25)

3 (160-y) = 2 (y + 25)

480-3y = 2y + 50

-3y-2y = 50-480

-5y = -430

y = 430/5

y = 86

Vì x = 177-y

x = 177-86

x = 91

Do đó hai số là 86 và 91

what is the solution to Y=-2x²+4x+8
Y=-4x+16

Answers

Hi there!

[tex]\large\boxed{(2, 8)}[/tex]

Solve by setting the two equations equal to each other:

-2x² + 4x + 8 = -4x + 16

Move all terms to one side:

-2x² + 4x + 4x + 8 - 16 = 0

Simplify:

-2x² + 8x - 8 = 0

Factor out a negative 2 from each term:

-2(x² - 4x + 4) = 0

Factor:

-2(x - 2)² = 0

Set the factor equal to 0 to solve:

(x - 2)² = 0

x - 2 = 0

x = 2

Substitute this value of x into an equation to find the shared y value:

y = -4(2) + 16 = 8

math class 10
the compound amount of rupees 4000 for 3 years is 5500 rupees find the compound interest ​

Answers

Answer:

11%

Step-by-step explanation:

Compound Interest Formula: initial ( 1 + interest rate )^time = final amount

Let compound interest be x

4000(1+x)^3 = 5500

Divide both sides by 4000

4000(1+x)^3 / 4000 = 5500/4000

Cube root both sides

[tex]\sqrt[3]{(1+x)^3} =\sqrt[3]{11/8}[/tex]

1 + x = 2.22398 / 2

1 + x = 1.11199

Minus both sides by 1

1 + x = 1.11199

-1        -1

x = .11199 = 11%

Find the value of x.

Answers

Answer:

A - 55 degrees

Step-by-step explanation:

secant-tangent angle: 1/2(larger-smaller)

1/2(180-70)

1/2(110)

55 degrees

What is the slope of the line containing (-3, 5) and (6, -1)?
O A. -1
O B.-2/3
O C. 1
OD. 2/3

Answers

Answer:

-2/3

Step-by-step explanation:

The slope of a line can be represented as [tex]\frac{y_{2} -y_{1} }{x_{2}- x_{1} }[/tex] where (x1, y1) and (x2, y2) are points on the line. We can substitute the points given, (-3, 5) and (6, -1), to calculate the slope:

[tex]\frac{-1-5}{6-(-3)} =\frac{-6}{6+3} =\frac{-6}{9} =-\frac{2}{3}[/tex]

We can find the slope by using the formula y2-y1/x2-x1. y2 and x2 are our second y and x coordinates, meanwhile y1 and x1 are our first y and x coordinates. If we plug in our numbers, we get -1-5/6-(-3). This gives us -1-5/6+3. -1-5/6+3 is -6/9. -6/9 is equal to -2/3. The answer is B.

insert 3 rational no. between 4/13 and 1/13​

Answers

Answer:

2/13,3/13,4/13....

hope it helps

Answer:

Step-by-step explanation:

4/13=40/130

1/13=10/130

numbers between 10/130 and 40/130 are 11/130,12/130,13,130 ,...,39/130.

we can select  any three out of these.

QUESTION 1: Diagram NOT accurately drawn.

OAP is a triangle.
O to A=a
O to B=b

P is the point on AB such that AP: PB = 3:1

(b) Find OP in terms of a and b.
Give your answer in its simplest form.​

Answers

Answer:

1/4a+3/4b

Step-by-step explanation:

OP=OA+AP

OA=a

AP=3/4AB

AB=-a+b

thus AP=3/4(-a+b) which is-3/4a+3/4b

OP=a-3/4a+3/4b thus 1/4a+3/4b

77 yd
36 yd
What is the length of the hypotenuse?
C =
yards

Answers

Answer:

c = 85 yd

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is

c² = 77² + 36² = 5929 + 1296 = 7225 ( take square root of both sides )

c = [tex]\sqrt{7225}[/tex] = 85

Answer:

[tex]85yd[/tex]

Step-by-step explanation:

According to PYTHAGORAS Theorem,

[tex] {c}^{2} = {77}^{2} + {36}^{2} \\ {c}^{2} = 5929 + 1296 \\ {c}^{2} = 7225 \\ c = \sqrt{7225} \\ c= 85yd[/tex]

highest common factor of 28,40,12 and 24​

Answers

Answer:

4

Step-by-step explanation:

We want to find the highest common factor

Breaking them into factors

28 = 4*7 = 2*2*7

40 = 4*10 = 2*2*2*5

12 = 4*3 = 2*2*3

24 = 3*8 = 3*2*2*2

The factor that appears in all is 2*2

2*2 =4

Answer:

4

Step-by-step explanation:

28÷4=7

40÷4=10

12÷4=3

24÷4=6

7, 10, 3 and 6 cannot be divided by any same number.

Find the volume of each figure. Round your answers to the nearest tenth, if necessary​

Answers

Answer:

437.9

Step-by-step explanation:

Volume is pi*r^2*h=pi*(49)*9=437.9

Given that x : 3 : 9/2 = 15/4 : 4 1/2 : y, find the value of x and y.

Answers

Answer:

x = [tex]\frac{5}{2}[/tex] , y = [tex]\frac{27}{4}[/tex]

Step-by-step explanation:

Equate the first 2 parts of the ratios on both sides of the equation and solve for x.

Expressing the ratios in fractional form, then

[tex]\frac{x}{3}[/tex] = [tex]\frac{\frac{15}{4} }{\frac{9}{2} }[/tex] = [tex]\frac{15}{4}[/tex] × [tex]\frac{2}{9}[/tex] = [tex]\frac{5}{6}[/tex] ( cross- multiply )

6x = 15 ( divide both sides by 6 )

x = [tex]\frac{15}{6}[/tex] = [tex]\frac{5}{2}[/tex]

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

Equate the last 2 parts of the ratios on both sides and solve for y

[tex]\frac{\frac{9}{2} }{y}[/tex] = [tex]\frac{3}{\frac{9}{2} }[/tex] = 3 × [tex]\frac{2}{9}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )

2y = [tex]\frac{9}{2}[/tex] × 3 = [tex]\frac{27}{2}[/tex] ( divide both sides by 2 )

y = [tex]\frac{27}{4}[/tex]

What is the value of 4x2 + 5x - 8, if x = 3?

Answers

Answer: 43

Step-by-step explanation:

Concept:

Here, we need to understand the idea of evaluation.

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

**Disclaimer** I assume that the expression is [4x² + 5x - 8]. If it was, then you may refer to my answer. If it was not, then you may point it out and I will redo it.

Given

4x² + 5x - 8

x = 3

Substitute the value of x

4(3)² + 5(3) - 8

Simplify exponents

4(9) + 5(3) - 8

Simplify multiplication

36 + 15 - 8

Final subtraction and addition

43

Hope this helps!! :)

Please let me know if you have any questions

If the length of rectangle is x + 4 and the width is 3x - 5 what is the perimeter?

Answers

Answer:

8x-2

Step-by-step explanation:

l = x+4

w = 3x-5

The perimeter is

P =2(l+w)

   = 2(x+4+3x-5)

Combine like terms

   = 2(4x-1)

Distribute

   = 8x-2

Answer:

[tex]8x-2[/tex]

Step-by-step explanation:

The perimeter of a rectangle is 2L + 2W, where L represents the length and W represents the width. In this scenario, L is equal to x + 4 and W is equal to 3x - 5. We can setup an equation:

[tex]2(x+4)+2(3x-5)[/tex]

We can then multiply x - 4 by 2 to get [tex]2x+8[/tex]

We can then multiply 3x - 5 by 2 to get [tex]6x-10[/tex]

Adding them together, we get the answer as [tex]8x-2[/tex]

solve for x the triangles are the same

Answers

Answer: x=8

Step-by-step explanation:

So to begin with we need to find the connection being that they are the same triangle but with a dilation. We need to find the dilation by matching the new angles with each other H=E F=C and D=G. We need to find the relation ship between CD and FG. 65 divided by 24= 2.6 take ED and multiply 2.6 to find HG. HG= 91. Now we need to find x. 8 times x+ 3=91. Find the closest eight multiple to 91 which is 8 times 8= 88 and add 3 to see it makes 91.

8 is your answer.

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