There are 60 different three-letter "words" that can be made from the letters F, G, H, I, and J without repetition of letters. This can be calculated as a permutation of 5 choices for the first letter multiplied by 4 for the second and 3 for the third, resulting in 5 x 4 x 3 = 60 possible arrangements.
The question asks how many different three-letter "words" can be made from the five distinct letters F, G, H, I, and J, given that repetition of letters is not allowed. This is a problem of calculating permutations, where a permutation is an arrangement of all or part of a set of objects, with regard to the order of the arrangement. For each letter position in a three-letter word, we choose a different letter from the five available, without repeating.
For the first letter, there are 5 choices (F, G, H, I, J). Once we have chosen the first letter, there are 4 remaining choices for the second letter. After choosing the first two letters, there are 3 choices left for the third letter. To find the total number of permutations, we multiply these choices together: 5 choices for the first letter x 4 choices for the second letter x 3 choices for the third letter, which equals 60. Therefore, there are 60 different three-letter words that can be made from the letters F, G, H, I, and J without repetition.
The angles of a triangle are 2x, 3x, and 4x degrees.
Find the value of x.
A) 20
B) 30
C) 40
D) 50
3 angles in a triangle need to = 180 degrees
so you have 2x+3x+4x = 180
9x = 180
x = 180/9
x = 20
Answer is A
Select the factor pairs for the number 28. Choose ALL that apply.
A 20 and 8
B 7 and 4
C 14 and 2
D 28 and 1
Tamara sold 92 cold drinks during her 2-hour shift at a festival food stand.if she sold the same number of drinks each hour, how many cold drinks did she sell each hour?
Which of the following values does not satisfy the inequality-2x-6is less than or equal to 1 A)-4 B)-3 C)-2 D)-1
Answer:
-4
Step-by-step explanation:
There are 26 third graders and 32 fourth graders going on a field trip.each can can carry 10students. How many vans are needed.how many students will be in each van
The perimeter of a rectangle is 24 inches. Find the dimensions if it’s length is 3 inches greater than its width
Anyone know if -2.35/30.8 is equal to -47/616
If -4(x-3)+5x=24, then x= what?
troys recipe for bagels makes 18 per batch. troy makes 2/3 batch of bagels. How many bagels does troy make?
What type of triangle has the sides 3 16 and 17?
A plank measures 4 and 3/4 feet. Elizabeth cuts off 2/5 of the plank. How long is the plank now?
To find the length of the plank after cutting off 2/5, convert the original length to an improper fraction, calculate the length of the cut portion as a fraction, and subtract it from the original length.
Explanation:To determine the length of the plank after Elizabeth cuts off 2/5 of it, we can subtract the length of the cut portion from the original length of the plank.
First, we need to convert 4 and 3/4 feet to an improper fraction. This is equal to 19/4 feet.
Next, we can find 2/5 of 19/4 by multiplying it: (2/5) * (19/4) = 38/20 = 19/10 feet.
To find the length of the plank now, we subtract 19/10 feet from 19/4 feet: 19/4 - 19/10 = 95/20 - 19/20 = 76/20 = 3 and 16/20 feet.
Therefore, the plank is now 3 and 4/5 feet long.
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Lainey wrote the prime factorization of 60 as 2 x 5 x 6. Is she correct? If not, what is the prime factorization of 60? explain
How do I add unlike denominators?
Approximate height of tower the person is
What is the value of 2x4+5x when x =6?
Ninety-eight camp participants are to be divided into 7 groups. Brittany uses the five-step problem-solving plan. After completing the Solve step, how many participants should she find will be in each group?
Mr. Robredo is building a fence around a rectangular region with 36 feet of fencing. The area of the rectangular region is 65 square feet. What are the length and the width of the rectangular region? Enter your answers in the boxes.
Bryan is buying notebooks and pens at an office supply store. Notebooks cost $3.59 and pens cost $1.49. He can spend up to $13 on these items. Let x represent the number of notebooks. Let y represent the number of pens. Enter an inequality that represents the situation. Please help!! :)
Answer:
3.59x + 1.49y ≤ 13
Step-by-step explanation:
Let x represents the number of notebooks and y represents the number of pens.
If notebooks cost $3.59 and pens cost $1.49 then total cost of the pens and notebooks will be = 3.59x + 1.49y
Bryan spends up to $13 means that total expenditure must be less than equal to $13
Then inequality will be
3.59x + 1.49y ≤ 13
Seven ounces of liver contains 42grams of protein. How many ounces a liver will provide 90gm of protein
Give an example of a problem that could be solved using the 9.5x(8+12.5)
A rectangular container can hold 45 candles, while a cylindrical container holds 41 candles. Each rectangular container costs the company $16, while the cylindrical container costs the company $15. If the company needs to package 6,400 candles, should it use only rectangular or only cylindrical containers to minimize costs? Explain. How many rectangular containers will be necessary to package 6,400 candles?
To minimize costs, the company should use only rectangular containers. The company will need 143 rectangular containers to package 6,400 candles.
Explanation:To minimize costs, the company should use only rectangular containers to package the 6,400 candles. Since each rectangular container holds 45 candles and costs $16, we can calculate the number of containers needed by dividing the total number of candles by the number of candles in each container:
Number of rectangular containers needed = Total number of candles / Number of candles in each rectangular container
= 6,400 / 45
= 142.22
Since we cannot have a fraction of a container, we need to round up to the nearest whole number. Therefore, the company will need 143 rectangular containers to package 6,400 candles.
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what is 86 divided by 9
It takes a bus driver 30 minutes to pick up students from four spots. The last stop is at the corner of Green Street and Route 70. The most direct route to school is north on Route 70. The speed limit on Route 70 is 35 kph. The bus driver wants to calculate the average velocity from the last stop to school. Can this be done from the information given?
A. Yes, if the speed limit is 35 kph, and the elapsed time is 30 minutes, the average velocity is 17.5 kph north.
B. No, the distance from the last stop to the school and the time is takes to travel that distance are required.
C. Yes, if the average speed is 35 kph, and it takes 30 minutes, the average velocity is 17.5 kph.
D. No, the distance from the first stop to the school and the average speed are required.
Answer:
B. No, the distance from the last stop to the school and the time is takes to travel that distance are required.Step-by-step explanation:
The problem doesn't give enough information to find the average velocity, because it doesn't specifies the total distance the driver has to cover, neither the time.
Also, the problem doesn't offer the initial or final speed of each part of the road, which can be used to find the average.
However, the best option to find the average velocity here is by knowing the total distance and the total time required, because their quotient is the average speed.
Therefore, the right answer is B.
Plz help I’m giving brainlist
Answer:
Meal A cost $30 a person (60/2)
Meal B cost about $26.5 a person (80/3)
Meal C cost $24 a person (96/4)
Meal D cost $23 a person (115/5)
Step-by-step explanation:
In the situation, simple interest is calculated yearly.
How much interest was earned?
Drag and drop the answer into the box.
(Words Go with picture)
Answer:
3,840
Step-by-step explanation:
hope this helped:)
What's the sum & classification of 3/10 and square root of 10?
3.31227766,irrational
3.31227766,rational
18.16227766,irrational
18.16227766,rational
Answer:
3.46227766; irrational
Step-by-step explanation:
The sum of 3/10 and √10 can be written mathematically as:
3/10 + √10
Taking the LCM which is 10
3/10 + √10 = 0.3 + 3.16227766
= 3.46227766
Since we cannot express the resulting value as a ratio of two integers, therefore the value is classified as an irrational number.
There are three liters Of apple juice at a school party. 10 students want to drink all of the apple juice, and they all want to get exactly the same amount. How much apple juice can each student have?
To calculate the amount of apple juice each of the 10 students can have, divide the total volume of 3 liters by 10, resulting in 0.3 liters per student.
The question involves dividing a total volume of liquid evenly among a number of participants, which is a basic arithmetic problem in mathematics, specifically dealing with division.
To find out how much apple juice each student can have, you need to divide the total amount of apple juice by the number of students. There are 3 liters of apple juice and 10 students. So, each student can have 3 liters / 10 students = 0.3 liters of apple juice. A liter is a unit of capacity, and it's comparable to a jug of milk or a bottle of soda, which also holds a similar amount of liquid. Hence, the volume in this context is measured in liters. When you divide the total volume of apple juice by the number of students, you get the volume that each student will receive.
Write and solve an equation to answer the question How many people must attend the third show so that the average attendance per show is 30007 Theater Attendance, first show is 2580,second show is 2920.
To achieve an average attendance of 30007 over three shows with the first two shows having audiences of 2580 and 2920 respectively, 84421 people must attend the third show.
Explanation:The subject here is Mathematics and we will be solving for the average attendance required for three shows to have an average of 30007 attendees per show.
Let's denote the number of people that need to attend the third show by 'x'. According to the problem, the average attendance of the three shows should be 30007, hence:
(2580 + 2920 + x) / 3 = 30007
This simplifies to 5500 + x = 90021
Subtracting 5500 from both sides, we get:
x = 90021 - 5500
Therefore, a total of 84421 people need to attend the third show for the average attendance across all three shows to be 30007.
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6.4 rounded to the nearest whole number
What would be farthest right on a the number Line??
-3.25 or -1.75
-9.7 or -9
4/5 or 0
-70 or -70 4/5
-15 or -5
1/2 or -2
-99, -100 or -99.3
0.05 or 0.5
0, -3/4 or -1/4
-0.02 -0.04
Each pair or the ones with three numbers in them are a separate group...please try to answer correctly