Answer:
129168
Step-by-step explanation:
they have 13 appetizer, 23 soup, 24 entree, and 18 dessert options.
Number of 4 course meal ( all unique) that can be made
=13C1×23C1×24C1×18C1
= 13×23×24×18 = 129168
Hence, [tex]129168[/tex] unique [tex]4-[/tex]course meals can be created.
Combination:
The combination is a way of selecting items from a collection, such that (unlike permutations) the order of selection does not matter. In smaller cases, it is possible to count the number of combinations.
Given that,
[tex]13[/tex] appetizer [tex]23[/tex] soup [tex]24[/tex] entree [tex]18[/tex] dessert
[tex]4-[/tex]course meal can be prepared as follows:
[tex]13_C_{1}\times23_C_{1} \times24_C_{1} \times18_C_{1}[/tex] (use combination for each given)
Note: [tex]n_C_{r} =[\frac{n!}{r!(n-r)!} ][/tex]
[tex]13_C_{1}\times23_C_{1} \times24_C_{1} \times18_C_{1}\\=13\times23\times24\times18\\=129168[/tex]
Learn more about the topic of Combination: https://brainly.com/question/11732255
Simplify: a(8 + 2b - 6)
Answer:
2ab+2a
Step-by-step explanation:
help me whit this please
Answer:
(5,-3) *red* i cant tell wht it says very well
Step-by-step explanation:
Write the word sentence as an equation. Then solve the equation. The quotient of a number and $-1.5$ is $21$ . Equation: Question 2 Solution: $x=$
Answer:
b
Step-by-step explanation:
IM BEGGING PLEASE HELP One angle of the triangle is 30% larger than the other and 36 ° smaller than the third. Find the angles of the triangle.
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Answer:
52°, 40°, 88°
Step-by-step explanation:
Let x represent "one angle". This is 30% larger than "the other", so we have ...
x = "the other" × (1 +30%)
x/1.30 = "the other"
If x is 36° smaller than the third, then the third is x+36.
__
The sum of the angles is 180°.
x + x/1.3 + (x +36) = 180
x(2 +1/1.3) = 144
x = 144/(2 +1/1.3) = 52
x/1.3 = 52/1.3 = 40
x +36 = 88
The angles of the triangle are 52°, 40°, and 88°.
A line passes through the point (-1, -2) and has a slope of 5.
Write an equation in slope-intercept form for this line.
Answer:
[tex]y=5x+3[/tex]
Step-by-step explanation:
Slope-intercept form: [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept (the value of y when the line crosses the y-axis)
1) Plug the given slope 5 into the equation
[tex]y=mx+b\\y=5x+b[/tex]
2) Find the y-intercept [tex]b[/tex] by plugging in the point (-1,-2)
[tex]y=5x+b\\-2=5(-1)+b\\-2=-5+b[/tex]
Add 5 to both sides
[tex]-2+5=-5+b+5\\3=b[/tex]
3) Plug the y-intercept back into the equation
[tex]y=5x+3[/tex]
I hope this helps!
1/5 as a decimal and rounded to the nearest tenth
Answer:
0.2
Step-by-step explanation:
1 divided by 5
2/5=0.4
3/5=0.6
4/5=0.8
5/5=1
40 to a ratio of 2:3
Answer: 16:24
Step-by-step explanation:
add the ratio so 2+3=5
Divide from 40 so 40/5=8
multiply by individual ratios
2*8:3*8= 16:24
Could anyone help me with this question? Thank you!
Answer:
C
Step-by-step explanation:
We want to simplify the rational expression:
[tex]\displaystyle \frac{n^4-11n^2+30}{n^4-7n^2+10}[/tex]
First, we can factor both the numerator and the denominator. This yields:
[tex]\displaystyle =\frac{(n^2-6)(n^2-5)}{(n^2-2)(n^2-5)}[/tex]
Cancel like terms:
[tex]\displaystyle =\frac{(n^2-6)}{(n^2-2)}[/tex]
However, since we canceled a term from our expression, we must place restrictions in order to stay true to the original expression.
Rational expressions are undefined whenever the denominator equals 0. The denominator is (before canceling):
[tex](n^2-2)(n^2-5)=0[/tex]
Solve for n. By the zero product property:
[tex]n^2-2=0\text{ and } n^2-5=0[/tex]
Therefore:
[tex]n^2=2\text{ and } n^2=5[/tex]
By taking the square root of both sides (since we are taking an even root, it is required to have plus/minus):
[tex]n=\pm\sqrt{2}\text{ and } n=\pm\sqrt5[/tex]
Therefore, our fully simplified expression is:
[tex]\displaystyle \frac{n^2-6}{n^2-2}\, ,n\neq \pm\sqrt5, \pm\sqrt2[/tex]
Hence, our answer is C!
solve simultaneously
[tex] {2}^{x} + {3}^{y} = 9 \\ {2}^{x + 2} - {3}^{y + 1} = 8[/tex]
Answer:
I hope this helps you :)
Answer:
2x+3y=9
2x+2-3y+1=8
2x-3y=8
2x-3y+3y=8+3y
2x=8+3y
2x=8+3y
2 2
x=8+3y
2
2(x) +3y=9
2* (8+3y)/2 +3y=9
(16+6y)/2)+3y=9
2*(16+6y)/2)+3y=9
16+6y+6y=18
6y+6y=18-16
12y=2
12y = 2
12 12
y=2
12
y=0.16666666666667
2x+3 (0.16666666666667)=9
2x+0.5=9
2x=9-0.5
2x=8.5
2x = 8.5
2 2
x=8.5
2
x=4.25
List the four reasons given by governments for determining how to use land in the interest of the public.
pls help me
Answer: health, safety, morals and general welfare.
Step-by-step explanation: Governments have justified their actions in determining how land is used with the four interests of health, safety, morals, and general welfare.
(PLEASE MARK BRAINLIEST)
what microsofttamurchen said
Step-by-step explanation:
GIVE THEM BRAINLIEST !!
please help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Option D is your answer ☺️☺️☺️
what is multimedia? explain various types of multimedia.
Answer:
multi media is the computer system that has graphics, animation, text, video , etc
five out of 12 apple trees in a small orchid are taller than 9 ft what is the decimal equivalent of the number of apple trees taller than 9 ft
John can play 12 songs on his guitar but learns 1 new song every week. Aiden can play 4 songs but learns 2 every week
Given :
John can play 12 songs on his guitar but learns 1 new song every week. Aiden can play 4 songs but learns 2 every week.
To Find :
How many weeks will it be before Aiden knows as many songs as john?
Solution :
Let, after x weeks Aiden know a songs and John know j songs.
The linear equation for both the situation is :
a = x + 12 .....( For Aiden )
j = 2x + 4 ......( For John )
We need to find in which week Aiden knows as many songs as John.
For this , a = j
x + 12 = 2x + 4
x = 8
Therefore, in 8th week both of them know the same number of songs.
Please help, will mark brainliest
Answer:
The picture is just a black screen. Please tell me the question in the comments and I will try to help!
Step-by-step explanation:
7. What is the solution set for -2x-8<2?
Answer:
-2x - 8 < 2
-2x < 10
x > -5
A 60$ purse is on sale for 10% give the sell price
Answer:$54
Step-by-step explanation:
60(0.9) = $54
answer:
$54
step-by-step explanation:
sale means a decrease from the original amountsince there is a sale of 10%, we would multiply by 90% since we are trying to find the sale price60 X 90% - - > 60 X 0.90
you can convert 90% into 0.90 so it is easier to multiply60 X 0.90 = 54
= $54
I need help with these answer them
Answer:
on which on do you need help on but let me know
Step-by-step explanation:
huh
what is the median of the following numbers? 6,4,1,9,3,8,3,5,10
A rectangle is 14 inches long and 6 inches wide. Find its area. A 78 square inches B 20 square inches C 84 square inches D 26 square inches
Answer 34 square inches
Step-by-step explanation 2+2+2+4+4+9+9
Determine the value of theta, to the nearest degree. Please show work.
Answer:
∅ = 22.33°
Step-by-step explanation:
tan 28° = h/15
0.5317 = h/15
h = 7.98
sin ∅ = h/21
sin ∅ = 7.98/21
sin ∅ = 0.38
∅ = 22.33°
at a school, 40% of the sixth grade students said that hip hop is their favorite kind of music. if 100 sixth grade students perfer hip hop music, how many sixth grade students are at the school?
Answer:
Step-by-step explanation:
250 students are in the 6th grade have a good night it is night hear if you live in America east side 10:34 PM
FIND THE MEASURE OF THE MISSING ANGLE
Answer: the answer is 66
Step-by-step explanation: 180-90-24=66
Well the sum of all the angles of a triangle is 180˚ so 24+90=114˚
180˚-114˚=66˚.
PLEASE HELP!
Please find the area of the composite figure. Number only please. Thank you!!
Answer:
47(whatever the unit is square)
Step-by-step explanation:
What is the measure of angle DEG on circle O
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Answer:
50°
Step-by-step explanation:
Angle DEG is also angle DEC. It subtends arc DC as does inscribed angle DFC. Inscribed angles that subtend the same arc have the same measure.
∠DFC = ∠DEG = 50°
Answer: 50
Step-by-step explanation: Khan Academy
Add the polynomials :)
Answer:
4x^3+6x^2-15x+6
Step-by-step explanation:
Answer:
[tex]4x^2 + 6x^2 - 15x + 5[/tex]
Step-by-step explanation:
Hello!
We can add like terms.
The terms that we see here are [tex]x^3, x^2, x,[/tex] and integer values.
We can combine like terms by adding the coefficients.
Add[tex](6x^2 - 9x + 6)+(4x^3 - 6x)[/tex][tex]6x^2 - 9x + 6 + 4x^3 - 6x[/tex][tex]4x^3 + 6x^2 - 9x - 6x + 6[/tex][tex]4x^2 + 6x^2 - 15x + 5[/tex]Order: Highest degree to lowest degree. The final expression is [tex]4x^2 + 6x^2 - 15x + 5[/tex]
plsss help me.................
Answer:
(X+4)(x-4)
Step-by-step explanation:
x^-16
=(X+4)(x-4)
What is m Using the hexagon
Find the volume of the cone. Round your answer to the nearest tenth.
The volume of the cone is about ____ cubic inches.
Help me with this!!!
Answer:
The coordinate of the midpoint is -2 1/2.
Step-by-step explanation:
Think of "midpoint" as "average" in this problem. The average of the endpoints -10 and 5 is (-10 + 5)/2, or -5/2, or -2 1/2