The number of ways to choose a different appetizer for each of the 5 customers from a choice of 12 appetizers is 95,040.
Explanation:The number of ways to choose a different appetizer for each of the 5 customers from a choice of 12 appetizers can be calculated using permutations. In this case, the order in which the appetizers are chosen does matter, and repetition is not allowed since each customer must choose a different appetizer.
To calculate the number of ways, we can use the formula for permutations:
P(n, r) = n! / (n-r)!
Where n is the total number of items and r is the number of items to be chosen.
So, in this case, the number of ways to choose the appetizers is:
P(12, 5) = 12! / (12-5)! = 12! / 7!
Using a calculator simplifies to:
P(12, 5) = 95,040
Can someone check this please
More math help please!
Which names are other ways to name ∠2? Select each correct answer. ∠H ∠G ∠KGH ∠HKG ∠K ∠GHK ∠HGK angle 2 with vertex h. one ray has point G on it. The other ray has point k on it.
Answer:
Angle GHK and Angle H
Step-by-step explanation:
None of the others are correct I took the test
Each Child Receives a meal which consists of a hamburger, a bag of pretzels, and a drink for the children ages 6-10 and a hamburger , two bags of pretzels, and a drink for the children that are older than 10. It costs the club 80 cents for each hamburger, 35 cents for each bag of pretzels, and 60 cents for each drink. Calculate the cost to feed each age group
Sarah has $20 saved. If she will save her allowance for the next 3 weeks, and she gets $10 per week for her allowance. At the end of the week, she gets $150 in birthday money. How much money will she have after the 3 weeks?Which of the following sets of equations represents this problem?
Carlotta subscribes to the HotBurn music service. She can download no more than 11 song files per week. Carlotta has already downloaded 8 song files this week. Write, solve, and graph an inequality to show how many more songs Carlotta can download.
The number of songs that can be downloaded is no more than 3.
i.e
Number of songs ≤ 3
What is inequality?It is a statement of an ordered relationship
- greater than,
- greater than or equal to,
- less than,
- less than or equal to between two numbers or algebraic expressions.
We have,
The number of songs that can be downloaded per week = S
S = No more than 11 songs.
This can be written as:
S ≤ 11
The number of songs already downloaded = 8
The number of songs that can be downloaded per week is:
S ≤ 11 - 8
S ≤ 3
Thus,
The number of songs that can be downloaded is no more than 3.
i.e
Number of songs ≤ 3
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solve for x
4x - 3 / 3 = 7
I
Find the common ratio, r, in the following geometric sequence. 27, 9, 3, 1,…
3
-3
1/3
-9
r -7 times r to the 3rd power
use the number line to add -2/5+1/2
-2/5 = -4/10
1/2 = 5/10
-4/10 + 5/10 = 1/10
Which number is greater 87 or 13.688? How do you know?
What are 2 phrases for the expression 85-y
Your mom has sent you to buy a new suit, and will let you get new shoes too if you keep it under $200. The suit you want to buy is $230. If you are getting 20% off the price, will you get the shoes?
Line segment EF has a length of 5 units. it is translated 5 units to the right on a coordinate plane to obtain line segment E'F. What is the length of E'F? A. 5 units B.6 units C.10 units D.25 units
Answer:
Step-by-step explanation:
Its 5 units
What does y equal 1/3z+y=4
Write two linear expressions with a sum of -5x+4
The two linear expressions are;
⇒ - 15x + 8 and 10x - 4
What is linear expression?
A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
Given that;
The value of two linear expressions with a sum of -5x+4.
Now,
Let the two linear expression as;
⇒ - 15x + 8 and 10x - 4
After adding, we get;
⇒ - 15x + 8 + 10x - 4 = - 5x + 4
Thus, The two linear expressions are;
⇒ - 15x + 8 and 10x - 4
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James says that 12 is a common factor of 3 and 4.june says that 12 is common multiple of 3 and 4.who is correct.
write each ratio as fraction in simplest form. Then explain it 2 drums, 4 flutes
WILL GIVE BRAINLIEST Which expression is equivalent to −10+(−40)+(−90) ?
A. −10 − (40−90)
B. −10 + (−90)+(−40)
C. −(10−40) + (−90)
D. 10 + 40 + 90
Solve for x.
-4x = -6 + 2x
Which transformation of f(x)=3^x does h(x)=-3^x-7 represent?
A cell phone plan has a monthly cost that is shown in the table below. What is the correct statement regarding the average rate of change during the 40-minute time of talk? Total minutes of talk time Monthly cost of cell phone 0 $9.95 10 $10.65 20 $11.35 30 $12.05 40 $12.75
Answer:
The correct statement regarding the average rate of change during the 40-minute time of talk is that the average rate of change of the monthly cost with respect to the talk time is $0.07 per minute.
Explanation:
To find the average rate of change during the 40-minute time of talk, we can calculate the average rate of change of the cost with respect to the number of minutes of talk time.
We can use the formula for average rate of change, which is:
[tex]\[ \text{Average rate of change} = \frac{\text{Change in cost}}{\text{Change in talk time}} \][/tex]
Given the following data:
- At 0 minutes of talk time, the monthly cost is $9.95.
- At 40 minutes of talk time, the monthly cost is $12.75.
Using the formula, we can calculate the average rate of change:
[tex]\[ \text{Change in cost} = 12.75 - 9.95 = 2.80 \][/tex]
[tex]\[ \text{Change in talk time} = 40 - 0 = 40 \][/tex]
[tex]\[ \text{Average rate of change} = \frac{2.80}{40} = 0.07 \][/tex]
Sam is doing his math homework. Hey completes 10 probelms every 30 minutes. How many porbelms can sam complete in 60 minutes?
After a 85% reduction, you purchase a new soft drink machine for $90. What was the original price?
The original price of the soft drink machine was $600, obtained by using the percentage reduction formula to find that $90 represents 15% of the original price.
Explanation:To find the original price of the soft drink machine before the 85% reduction, we first need to understand what a percentage reduction means. An 85% reduction implies that the final price is only 15% of the original price, as 100% - 85% = 15%. Therefore, the $90 you paid is 15% of the original price.
Next, we will step through the following calculation to determine the original price:
Let the original price be represented by P.15% of P is equal to $90, which can be written as (15/100) × P = $90.To find P, we divide both sides of the equation by 15 and then multiply by 100 to isolate P on one side. This gives us P = (90 ÷ 15) × 100.Performing the calculation P = 6 × 100, we find that P = $600.Therefore, the original price of the soft drink machine was $600.
. The width of a rectangle is 16 feet less than 3 times the length. If the area is 35 square feet, find
the dimensions of the rectangle.
The dimensions of the rectangle are approximately 8.93 feet for the length and 10.8 feet for the width. This solution involves setting up and solving a quadratic equation based on the given conditions.
Explanation:The subject of this question is Mathematics and it requires algebraic reasoning to solve. Here's step-by-step how to find the dimensions of the rectangle:
Let the length be denoted by 'x' (in feet).According to the question, the width is 16 feet less than three times the length, which can be written algebraically as '3x - 16'.The area of a rectangle is calculated by length times width, so in this example we would multiply 'x' by '3x - 16', and set that equal to the total area of 35 square feet.This set-up results in the equation 'x(3x - 16) = 35' or '3x^2 - 16x - 35 = 0'.Solving this quadratic equation for 'x', we find that the length (x) is approximately 8.93 feet.Substituting this value back into the equation for width, we find that the width is approximately 10.8 feet.Learn more about Solving Quadratic Equations here:https://brainly.com/question/30398551
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Read the problem in the box below. Make a list to help you find the correct answer.
26.891 to the nearest ten thousands place
the number isn't large enough to round to the nearest ten thousandths.
that would be the 4th digit to the right of the decimal point, so we would need the 4th and 5th numbers to the right in order to round the answer.
Alan and Margot drive from City A to City B a distance of 147 miles. They take the same route and drive at constant speeds. Alan begins driving at 1:40 p.m. and arrives at city B at 4:15 p.m. . Margot's trip from City A to City B can be described with the equation y=64x, where y is the distance traveled an dx is the time in minutes spent traveling. Who gets from City A to City B faster?
What is 15.839 rounded to the nearest tenth
Complete the statement: 567g = ______ hg.
56.7
567
5.67
0.567
To convert from grams to hectograms, you divide the number of grams by 100. So, 567 grams is equivalent to 5.67 hectograms.
Explanation:The question involves the conversion from grams (g) to hectograms (hg). To convert from grams to hectograms, you divide the number of grams by 100, because there are 100 grams in 1 hectogram. So, to convert 567 grams into hectograms:
Step 1: Divide the number of grams by 100. This can be written as:
567 ÷ 100 = 5.67
So, 567 grams is equal to 5.67 hectograms.
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