Using the fundamental counting theorem, it is found that 107,016 different choices are possible.
Fundamental counting theorem:
States that if there are n things, each with [tex]n_1, n_2, …, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem:
For the beverage, there are 7 options, hence [tex]n_1 = 7[/tex]For the first course, there are no choice, hence an arrangement of 4 options, that is, [tex]n_2 = 4! = 24[/tex]For the second course, there are 7 options, hence [tex]n_3 = 7[/tex]For the third course, there are 7 non-steak options, plus 6 steak options, hence [tex]n_4 = 13[/tex]For the fourth course, there are 7 choices, hence [tex]n_4 = 7[/tex]Then, applying the theorem:
[tex]N = 7(24)(7)(13)(7) = 107016 [/tex]
107,016 different choices are possible.
A similar problem is given at https://brainly.com/question/19022577
ple help me quick thank you:)
Answer:
z> 5/4
To graph, use the open dotted line and put it at point 5/4 aka 1.25 going towards the right because it is greater than.
Step-by-step explanation:
Isolate your variable (z) by multiplying both sides of the equation by 5/3.
z> 5/4
What is the solution to (4 x 103) x (6 x 106), written in scientific notation?
Answer:
Step-by-step explanation:
Which number replaces the question mark? 19 11 11 ? 12
Answer:
i think 12
Step-by-step explanation:
Answer:
4 + 3 + 2 = 9
Step-by-step explanation:
You have to add all the numbers in the cube.
These are the following ones.
19 = 4 + 8 + 7
11 = 2 + 8 + 1
11 = 5 + 5 + 1
4 + 3 + 2 = 9
12 = 2 + 7 + 3
6. Elena writes the equation 6x + 2y = 12. Write a new equation that has:
a. exactly one solution in common with Elena's equation
b. no solutions in common with Elena's equation
c. infinitely many solutions in common with Elena's equation
Answer:
2x ×2y=15. then solve for equation x and y
0.94 written as a fraction in simplest form
Question 11 (5 points)
22
Find the volume of the solid. Use
7
for II.
5 cm
1 cm
6 cm
Answer:
Volume of solid = 5 cm * 1 cm * 6 cm = 30 cm³
Step-by-step explanation:
The formula for volume of solid = Length * Width * Height
The hypotenuse of a right triangle is three times the length of one of its legs. The length of the other leg is four feet. Find the lengths of the three sides of the triangle. For non-integer answer(s), round your answer(s) to the nearest tenth.
___ feet, ___ feet, ___ feet
Answer:
Step-by-step explanation:
Let the other leg = x
x^2 + 4^2 = (3x)^2
x^2 + 4^2 = 9x^2
4^2 = 9x^2 - x^2
16= 8x^2
16/8 = x^2
x^2 = 2
x = sqrt(2)
The lengths of the sides
x = sqrt(2)
other side =4
hypotenuse = 3*sqrt(2)
x = 1.4
other side= 4
hypotenuse = 3*1.4142
hypotenuse = 4.2
7<2m-23 what is the answer if someone knows
Answer:
the answer is m > 15.
hope this helps!
What is the image of the point (-3, 4) after a rotation of 180° counterclockwise
about the origin?
Answer:
-3 ,-4
Step-by-step explanation:
Answer: ( 3 , -4)
Step-by-step explanation:
i got it wrong at first and it told me the right answer
ratio 12:30 in the form 1:n
Can someone help with question #4 please
Answer:
4,0 is the right ok I am a professor
Expand 5(2x-4) please please
Answer:
10x - 20
Step-by-step explanation:
Distribute 5 to each of the terms within the parentheses to get 5(2x) - 5(4) = 10x - 20.
There are 25 students in a class, and 6 of them will be chosen to go on a field
trip. How many ways can these students be chosen?
plzz help its so confusing
espero que sea de tu agrado la tarea que te estoy enviando
soy de peru
brillith2022
Steven walked 3 miles and drove 24 miles. Maureen walked 3 miles and drove
18 miles. Who has the greater ratio of miles walked/miles driven?
congruent or simular
First is similar
∆XYZ and ∆MNO are congruent
Polygons are similar
The square one is congruent
First one on right side is similar
Rugs are similar
rectangles are similar
A rectangular garden is 5 ft longer than it is wide. Its area is 4550 ft. What are its dimensions?
Step-by-step explanation:
Area= lxb
L = 5+d
area= d(5+d)
4550=d²+5d
d²+5d-4550=0
d2+5d−4550=0
(d−65)(d+70)=0
d−65=0 or d+70=0
d=65 or d=−70
dimensions= 65, 70
Solve: y = -7(-13).
solve y
Answer:
y = 91
Step-by-step explanation:
y = -7(-13)
=> y = 7(13)
=> y = 91
A local hamburger shop sold a combined total of 387 hamburgers and cheeseburgers on Thursday. There were 63 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Thursday?
Answer:
350 hamburgers
Step-by-step explanation:
Let x = the number of hamburgers sold
Let x - 53 = the number of cheeseburgers sold
x + x - 53 = 647
2x = 700
x = 350 hamburgers
Solve 2 cot x = csc^2 x symbolically on the interval (0,2pi).
Answer:
x=pi/4, 5pi/4
Step-by-step explanation:
cot x = cos x / sin x, csc x = 1/sin x, so we have 2 cos x / sin x = 1/ sin^2 x. multiply both sides by sin^2 x to get 2 cos x * sin x = 1, divide both sides by 2 to get cos x sin x = 1/2, this would work for angles pi/4 and 5pi/4 (3pi/4 and 7pi/4 would make cos x sin x = -1/2) since cos x = sin x = sqrt(2)/2
Not sure how to do this.
Answer:
5ft into 7ft
Step-by-step explanation:
Find the distance between two points in the simplest radical form
The 2 points marked on the graph are :-
(2, 3) & (-7, -4)
Here,
=》x₁ = 2
=》y₁ = 3
=》x₂ = -7
=》y₂ = -4
Using distance formula....
√(x₂ - x₁)² + (y₂ - y₁)²
= √(-7 - 2)² + (-4 - 3)²
= √(-9)² + (-7)²
= √81 + 49
= √130 (in radical form)
= 11.4 (approx......in standard form)
♧ The distance between the 2 points is √130 units.
______
Hope it helps ⚜
Look at picture for question.
Answer:
A) - 3/7
B) -1/5
C) - 0.4
Step-by-step explanation:
HOPE IT CAN HELP YOU LOVELOTS
Help help please last question please correct I’ll give points
Answer:
First is translation then dialation darlin
Step-by-step explanation:
i say this because of the size of grid
a patient is prescribed motrin 800mg, 1 tablet 3 times daily. What would the days supply be for 30 tablets?
Based on the number of tablets to be taken per day, the days supply for 30 tablets would be 10 days.
The patient is to take a tablet 3 times a day which means that they are to take:
= 1 x 3
= 3 tablets daily
If they have 30 tablets, this will last:
= Number of tablets / Tablets per day
= 30 / 3
= 10 days
In conclusion, it will take 10 days for the tablets to run out.
Find out more at https://brainly.com/question/13043215.
Bryce has $16 more than Corey. Both have a combined total of $50. How much money does Bryce have.
Answer:
$33
Step-by-step explanation:
Let the amount of money Corey has be $x.
Amount of money Bryce have= $(x +16)
Total amount= $50
$x +$(x +16)= $50
2x +16= 50
2x= 50 -16
2x= 34
Divide both sides by 2:
x= 34 ÷2
x= 17
Amount of money Bryce have
= $(17 +16)
= $33
Evaluate. 2 (14–32 +1) 1:3.-
Answer:
432
Step-by-step explanation:
Answer:
27
Step-by-step explanation:
Sue can ride her bike 14 km/hr faster than she can walk. It takes 17.5 min longer to walk 2.5 km
than to ride. Find Sue's walking speed.
Answer:
6 km/hr
Step-by-step explanation:
Sue can ride her bike 14 km/hr faster than she can walk. So for each step, add 14 km/hr.
Solve
[tex]-17.5r^2-245r+2100=0 \\\\r^2+14r-120=0 \\\\(r-6)(r+20)=0\\\\[/tex]
Therefore, it is 6.
Precalc!! Please help
Answer:
Step-by-step explanation:
1
use the given circle. Find the length s to the nearest tenth A. 33.5 cm B. 8.4 cm C. 16.8 cm D. 5.3 cm
Answer:
16.8
Step-by-step explanation:
s = ∅ × r
= 2π/3 × 8
= 16/3 * π
= 16.75516
= 16.8
Answer:
C.) 16.8 is your answer
Step-by-step explanation: