The tree diagram shows Leila's choices for dinner at a restaurant. How many possible dinner combinations exist?

The Tree Diagram Shows Leila's Choices For Dinner At A Restaurant. How Many Possible Dinner Combinations

Answers

Answer 1

Based on the tree diagram, there are a total of 12 possible dinner combinations for Leila.

Define combinations?

In mathematics, combinations are a way to count the number of ways to choose a subset of items from a larger set, where the order of the chosen items does not matter. The number of combinations is often denoted using the symbol "n choose k", where n is the total number of items and k is the number of items being chosen.

To see why, we can count the number of paths through the tree diagram. Starting at the top, there are 2 choices for the type of dips: Guacamole dip or Cheese dip. For each of these choices, there are 2 choices for the dessert : Burrito and Enchilada. Finally, for each main course, there are 2 choices for the main course: Chicken and Beef.

Multiplying the number of choices at each step, we get:

2 (choices for dips) x 2 (choices for dessert) x 2 (choices for main course) = 8 possible dinner combinations.

Therefore, there are 3 possible dinner combinations for Leila.

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Related Questions

Jara quiere fabricar un cohete con cartulina. Para ello ha construido un cilindro de 0,25 metros de radio y medio metro de altura y un cono con el mismo radio y la mitad de la altura. ¿Que volumen ocupa su cohete? Ayudaaa

Answers

Respuesta:

0,114 m³

Explicación:

El volumen del cohete será igual a la suma de los volumenes del cilindro y del cono

Volumen del cilindro

El cilindro tiene un radio (r) de 0,25 m y una altura (h) de 0,5 m. Podemos encontrar su volumen usando la siguiente formula.

Vcil = π × r² × h

Vcil = π × (0,25 m)² × 0,5 m = 0,098 m³

Volumen del cono

El cono tiene un radio (r) de 0,25 m y una altura (h) de 0,25 m (la mitad de 0,5 m). Podemos encontrar su volumen usando la siguiente formula.

Vcono = 1/3 × π × r² × h

Vcono = 1/3 × π × (0,25 m)² × 0,25 m = 0,016 m³

Volumen del cohete

Vcohete = Vcil + Vcono = 0,098 m³ + 0,016 m³ = 0,114 m³

a sequence of transformation is applied to a polygon. Select all statements which indicate a sequence of transformations where the resulting a polygon has an area greater than the original polygon.

A. Translate even units left, rotate 90 degrees clockwise about the origin.

B. Reflect over the x-axis, dilate about the origin by a scale factor of 1/2 translate up 5 unit.
C. Rotate 90 degrees counterclockwise around the origin, dilate about the origin by a scale factor of 3/2

D. Dilate about the origin by a scale factor of 2/3. rotate 180 degrees clockwise around the origin, translate down 2 units.

E. Dilate about the origin by a scale factor of 2, reflect over the y-axis, dilate about the origin by a scale factor of 2/3

Answers

Answer:

than originally shared this meeting will

10 A triangular prism and its dimensions are shown in the diagram.
5 cm
5 cm
8 cm
6 cm
What is the lateral surface area of this triangular prism in square centimeters?

Answers

The answer to your problem is 128

Which number is greater than 555,621,000?
A. 5.0 x 10
B. 6.2 x 10
C. 5.55621 x 10
D. 9.99 x 10

Answers

I believe that d is correct

Answer:

D

Step-by-step explanation:
im smart.

Austin is baking a pie in a pan that has a diameter of 8 inches. He wants to cover the top of the pie with a pie crust. What is the area of the crust that will cover the top of the pie?

Answers

Area of circular crust is pi*r^2 where r is the radius. Radius is one half diameter so area of crust is pi*(diameter/2)^2 = pi*(8/2)^2 = pi*4^2 = pi*16

The area of the crust that will cover the top of the pie is 50.24 square inches.

What is a circle?

A circle is a collection of all points in a plane which are at a constant distance from a fixed point. A circle is a round-shaped figure that has no corners or edges.

For the given situation,

The baking pan is in the shape of a circle.

The diameter of a baking pan = 8 inches

So, the radius of a baking pan,r = [tex]\frac{diameter}{2}[/tex]

⇒ [tex]r=\frac{8}{2}[/tex]

⇒ [tex]r=4[/tex]

The area of the crust that will cover the top of the pie is

[tex]A=\pi r^{2}[/tex]

we know that the value of π is 3.14.

On substitute the above values,

⇒ [tex]A=(3.14)(4)^{2}[/tex]

⇒ [tex]A=(3.14)(16)[/tex]

⇒ [tex]A=50.24[/tex]

Hence we can conclude that the area of the crust that will cover the top of the pie is 50.24 square inches.

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A researcher conducts an independent-measures, two-factor study with two levels of factor A and three levels of factor B, using a separate sample of n = 10 participants in each treatment condition. What are the df values for the F-ratio evaluating the main effect of factor A? (Hint: Enter in the degrees of freedom for the numerator first and the degrees of freedom for the denominator second.)

Answers

Answer:

(1, 36)

Step-by-step explanation:

Degrees of freedom for the F-test of the two way ANOVA

Here, we use a two factors, independent measures ANOVA, where, factor [tex]A[/tex] has 2 level and a factor [tex]B[/tex] also has 2 levels.

So, here,

[tex]$k_1$[/tex] = number of levels of A = 2

[tex]k_2[/tex] = number of levels of B = 2

And n = sample size in each treatment condition = 10

So we have,

[tex]d_1[/tex] = df of the main effect A = ([tex]$k_1$[/tex] - 1) = 2 - 1 = 1

[tex]d_2[/tex] = df of the main effect A = ([tex]$k_2$[/tex] - 1) = 2 - 1 = 1

[tex]d_3[/tex] = df of interaction effect (A x B) = ([tex]$k_1$[/tex] - 1)([tex]$k_2$[/tex] - 1)

                                                        = (2-1)(2-1)

                                                         = 1

And [tex]d_4[/tex] = df of within variation (i.e. error variation) = [tex]$k_1k_2(n-1)$[/tex]

                                                                                 = 2 x 2 x (10 - 1)

                                                                                  = 36

So, the df value for the F-ratio evaluating the main effect of factors-A is

=  ([tex]d_1, d_4[/tex])

= (1, 36)

The cylinder is 40 feet tall and has a radius of 20 feet. The cone is 10 feet tall with the same radius. Approximately how many cubic feet of grain can fit in the silo?

Answers

Answer:

54461.33 cubic feet

Step-by-step explanation:

Given data

Height of cylinder= 40 feet

Radius= 20feet

Height of cone= 10 feet

Radius of cone= 20feet

Volume of Cylinder= πr^2h

Volume of Cylinder= 3.142*20^2*40

Volume of Cylinder= 3.142*400*40

Volume of Cylinder= 50272 cubic feet

Volume of Cone= 1/3πr^2h

Volume of Cylinder= 1/3*3.142*20^2*10

Volume of Cylinder= 1/3*3.142*400*10

Volume of Cylinder= 1/3*12568

Volume of Cylinder=4189.33 cubic feet

Hence, the volume of the silo = volume of cylinder+ volume of cone

Volume of silo= 50272+4189.33

Volume of silo=54461.33 cubic feet

On selling an article for Rs 2300, a shopkeeper made a profit of 15 %. find the cost price of the article.

Answers

Answer:

Step-by-step explanation:

Sp of an article= Rs 2300

profit%=15%

let Cost Price of an article be X

SP=CP+PROFIT %*CP

2300=X+15/100*X

2300=100X+15X/100

2300*100=115X

230000/115=X

2000=X

Therefore cost price of an article is Rs 2000.

find the zeros the polynomial fx=2x^2 +9x-5​

Answers

Answer:

The zeros the polynomial :

X=(1/2 , –5)

Help me with this below

Answers

Answer:

PlayStation = 175

Step-by-step explanation:

X box = x

PlayStation = x+15

X box + PlayStation = 335

x + x+15 = 335

Combine like terms

2x+15 = 335

Subtract 15

2x+15 -15 = 335-15

2x = 320

Divide by 2

2x/2=320/2

x =160

x box =160

PlayStation = x+15 = 160+15= 175

Answer:

Playstation costs 175 pounds

Step-by-step explanation:

335 = 15 + x + x

335 = 15 + 2x

335 - 15 = (15 - 15) + 2x

320 = 2x

320/2 = 2x/2

x = 160

CHECK WORK:

(15 + 160) + 160 = 335

(175) + 160 = 335

335 = 335

PLS HELP
AND PLEASE EXPLAIN

Answers

Answer:

x=6, y=5 1/3 or 5.3333

Step-by-step explanation:

Greatest common factor of 8,56

Answers

Answer:

Propiedades del MCM de 8 y 56

Resumiendo, el mcm de 8 y 56 es 56. Se escribe como: mcm (8,56) = 56

Step-by-step explanation:

The greatest common factor is 8

An SRS of 100 flights by Nite-flite Airlines showed that 64 were on time. An SRS of 100 flights by Waxwing Airlines showed that 80 were on time. Let pN be the proportion of on-time flights for all Niteflite Airline flights, and let pW be the proportion of all on-time flights for all Waxwing Airlines flights. Is there evidence of a difference in the on-time rate for the two airlines

Answers

Answer:

Step-by-step explanation:

pN = 64/100 = 0,64 = 64%

pW = 80/100 = 0,8 = 80%

The planes of Waxwing airlines are more punctual

b) 6a and 6b are having a competition to see who can make the most money for Red Crescent. 6a make $2 for every $3 that 6b make. If 6a makes $30 AED profit how much will 6b make?

Answers

Answer:

45

Step-by-step explanation:

6a 6b

2 / 3

30 / x

30×3  / 2

90/2

=45

He sum of two numbers is negative twelve​, and one number is five​ less than the other. Using the variables mm​ and nn​ to represent the two numbers, write a system of equations that describe the situation. Enter the equations below, separated by a comma.

Answers

Answer:

mm + nn = -12

mm - nn = 5

Step-by-step explanation:

two equations can be derived from the question



3. At a manufacturing plant, it is known that 8% of the computer chips produced are defective. A random sample of 20 chips is taken.

What is the probability that 3 of those chips are defective?

.

Answers

Answer:

Probability of three chip being defective is 0.012

Step-by-step explanation:

Probability of a computer chip being defective is 0.08 or 8%

Total random sample = 20

Probability of three chip being defective = 3/20 * 0.08

= 0.012

Answer:

B) 0.14

Step-by-step explanation:

N=20

K=3

P=0.08

CoE= 1140

1140 x (0.08)^3 x (.92)^17

1140 x (0.000512) x (0.2423) = 0.141425 or B

Maria put 18 crayons in 3 different baskets. She put the number of crayons in each basket.

How many crayons did Maria put in each basket?

Answers

Answer:

There are 18 crayons, and 3 baskets. Each basket has the same number of crayons. Therefore, we divide 18 into 3 different groups (each group = each basket). So, we have 18 ÷ 3, which is 6.

So, there are 6 crayons in each basket.

Answer:

6

Step-by-step explanation:

would it be B or C? help me please :(

Answers

The answer is c, all of them will be equal to 3x except it

Answer:

2x^2

Step-by-step explanation:

2x+x

3x

x(2+1)

2x+x

3x

2x^2(no equivalent to other option)

3x

40:√100 + √9.√36

????​

Answers

Answer:

28

Step-by-step explanation:

[tex]\sqrt{100} + (\sqrt{9} \cdot \sqrt{36}) = 10 + (3 \cdot 6) = 10 + 18 = 28[/tex]

PLEASE HELP ASAP WILL GIVE POINTS AND BRAINLIEST! TY BESTIES! Factor using GCF 20x^2+10x please show work

Answers

Answer:

10x(2x+1)

Step-by-step explanation:

20x^2+10x

2*10*x*x + 10 *x

Factor out the common terms

10x(2x+1)

Complete the square for the function y = x2 + 6x +7. Which features are correctly stated?
A)
Axis of symmetry at x = -2
B)
Minimum = -2 at x = -3
Vertex form: (x + 3)2 - 2
D)
Zero at x = = √2-3
E)
Zero at x = 3-VE

Answers

Answer:

B and C

Step-by-step explanation:

The square for the function; [tex]y = x^2 + 6x +7[/tex] . Hence, the Vertex form of the function is [tex](x + 3)^2 - 2[/tex]. The function will be zero at  x = 3- √E

What is a system of equations?

A system of equations is two or more equations that can be solved to

get a unique solution. the power of the equation must be in one degree.

The square for the function;

[tex]y = x^2 + 6x +7[/tex]

Minimum = -2 at x = -3

Hence, the Vertex form of the function is [tex](x + 3)^2 - 2[/tex].

The function will be zero at  x = 3- √E

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Lara charges $12 per hour for babysitting. If f represents Lara's total fee after babysitting for h hours, which answer choice shows two correct equations that could be used to model the problem?

A: f=112handh=12f
B: h=112fandf=12h
C: f=h+12andh=f−12
D: h=f+12andf=h−12

Answers

Answer:

Can't really read that but these would work

f = 12h

h = f/12

Step-by-step explanation:

what is 5¹? and just what does ¹ mean? like whats the formula for the equation? ​

Answers

Answer:the answer is 5  it means you mutiply five that many times

Step-by-step explanation:

Answer:

5¹=5

5¹ means that you multiply 5 by itself 1 times

what is the sum of the first 6 odd numbers?
A. 26
B. 36
C. 32
D. 42
PLEASE HELP ( 10 PIONTS & FRIEND) :)

Answers

1+3+5+7+9 +11= 36
////////::::

Please help me, this is like the easiest thing but I'm stuck

Answers

Answer: A. 384 sq. mm

Step-by-step explanation: The area for the square is 12x12 or 144. The area for a triangle is base x height x 1/2. Therefore, that would be 12 x 10 x 1/2 or 60. There are 4 sides to this pyramid, so 60 x 4 = 240. We then add 144 and 240 to get 384 sq. mm.

i need help!! im struggling with this question

Answers

Answer:

1 gallon : 25.6 miles

Step-by-step explanation:

So, the way we can find the rate, or ratio between 2 units is to divide one unit by the other unit.

So basically, we see the first set of units is:

2 gallons - 51.2 miles

So basically, for every 2 gallons, there are 51.2 miles.

To find the ratio, or rate, we must find the miles per gallon.

We can do that by dividing both sides by 2:(g=gallons, m=miles)

2g/2=51.2/2m

=

g=25.6

So for every gallon, there is 25.6 miles.

We can write this as:

1 : 25.6

Hope this helps!

Answer:

25.6

Step-by-step explanation:

51.2/2=25.6

A teacher asked four students to estimate the length of a grain of rice. Jack answered 4.5 x 10^-3 kilometer, Lilly answered 4.5 x 10^-3meter, Diego answered 4.5 x 10^-3vcentimeter, and Willa answered 4.5 x 10^-3 millimeter. Who gave the best answer

Answers

Answer:

Lilly

Step-by-step explanation:

According to the literature, the length of a medium grain rice is between 5.3 and 5.9 mm. Let's take the average (5.6 mm) and convert it to meters to compare it with the estimations. We will use the conversion factor 1 m = 1000 mm.

5.6 mm × 1 m/1000 mm = 5.6 × 10⁻³ m

Jack answered 4.5 × 10⁻³ kilometers. We will convert it to meters using the conversion factor 1 km = 1000 m.

4.5 × 10⁻³ km × 1000 m/1 km = 4.5 m

Lilly answered 4.5 × 10⁻³ meters.

Diego answered 4.5 × 10⁻³ centimeters. We will convert it to meters using the conversion factor 1 m = 100 cm.

4.5 × 10⁻³ cm × 1 m/100 cm = 4.5 × 10⁻⁵ m

Willa answered 4.5 × 10⁻³ millimeters. We will convert it to meters using the conversion factor 1 m = 1000 mm.

4.5 × 10⁻³ mm × 1 m/1000 mm = 4.5 × 10⁻⁶ m

As we can see, Lilly gave the best answer (same order of magnitude).

∠A and angle ∠B are vertical angles. If m∠ A=(2x-4) and ∠B = (x+1), then find the value of x

Answers

Answer:

x = 5

Step-by-step explanation:

vertical angles are equal so we can write this equation:

2x-4 = x+1

x - 4 = 1

x = 5

You have a cooking triangle at your camp. It makes great
hot dogs on a camp fire. The triangle has an area of 14
square feet. The height is four feet. What is the length of the
base?

Answers

Answer:

7 square feet

Step-by-step explanation:

We know that area is (h*b / 2)

Therefore, we find b:

(14 * 2) / 4 = 7

Please give brainliest

Two searchlights on the shore of a lake are located 3020 yd apart. A ship in distress is spotted from each searchlight. The beam from the first searchlight makes an angle of 38 degrees with the baseline. The beam from the second light makes an angle of 57 degrees with the baseline. Find the ship's distance from each searchlight.

Answers

Answer:

x₁   =   1866.2 yd   distance between ship and searchlight in C

x₂  = 2542.5 yd .  distance between ship and searchlight in B

Step-by-step explanation:

The ship (point A) and the two searchlights points  ( B  and C) shape a triangle.

We have  α  =  38°  ( opposite side x₁ or distance between ship and point C  and  β =  57 ° ( opposite side x₂ or distance between ship and point B     then γ =  180 -  ( α  +  β )

γ  =  85°

Applying sin´slaw

x₁ / sin 38   =   x₂/ sin57  =  3020 / sin 85

from sin table we find:

sin 38  =  0.6156

sin 57  =  0.8387

sin 85  =  0.9962

Then

x₁  /  0.6156  =  3020 / 0.9962

x₁  ( the opposite side to angle 38° ) /  0.6156 =  3031.5

x₁  =  3031.5*0.6156

x₁   =   1866.2 yd

x₂  =  3031.5 * 0.8387

x₂  =  2542.5 yd

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