1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
muminat
3 years ago
10

Use the numbers 1-12 one time each to creat four true statements with addition, multiplication, subtraction and division

Mathematics
1 answer:
laila [671]3 years ago
7 0

If you mean that you can only use each number along the four expressions, it looks impossible to me. Here's the proof.

Multiplications and divisions are the most restrictive operations, because only some triplets will work. In particular, you can choose

(2,3,6),\ (2,4,8),\ (2,5,10),\ (2,6,12),\ (3,4,12)

I'm listing them in triplets because you can use them in many ways. For example, the first triple can be used to generate

2\cdot 3 = 6,\quad 3\cdot 2 = 6,\quad 6\div 3 = 2,\quad 6\div 2 = 3

But it doesn't really matter, in all cases you used numbers 2,3, and 6.

If you look closely, all triplets but the last one involve 2. This means that we must use the last one, because otherwise we would use two triplets with two, and we would have repetitions.

So, we surely have to use (3,4,12), either to write 3\cdot 4=12 or 12\div 4=3.

This means that we can't use 3, 4 and 12 anymore. The only triplet remaining is (2,5,10).

For example, let's say that our multiplication is 2\cdot 5 = 10 and our division is 12\div 4 = 3.

We're left with the following numbers:

1,\ 6,\ 7,\ 8,\ 9,\ 11

From here, we're left with a few choices for the addition: if we choose 1+6=7 we're left with 8,9 and 11. We can't write any subtraction with these numbers.

If we choose 1+7=8, we're left with 6, 9 and 11. We can't write any subtraction with these numbers.

If we choose 1+8=9, we're left with 6, 7 and 11. We can't write any subtraction with these numbers.

To recap, we're forced to use 2,3,4,5,10 and 12 for the multiplication and the division, and the remaining numbers don't allow to write an addiction and a subtraction.

Thus, you can't use all the operations involving numbers 1-12 only once.

You might be interested in
ITS EASY PLS HELP !!!
denpristay [2]

Answer:

26/9

Step-by-step explanation:

5 0
3 years ago
Help me please!!!!!!!
EastWind [94]

Answer:

Step-by-step explanation:

Ok First you need to find out how many favorite type of music and favorite school subject.

Now then, when you find out what they are look for the answer.

If i didn't help you i'm so sorry.

                                      Good luck!

7 0
2 years ago
Your class rank in 2018 was 89 out of 360 students. In 2019 your class rank was 95 out of 450 students. a. In which year did you
spin [16.1K]

A) given that in 2019 you were among the 21.11% of the best students in the class, in that year you had the higher percentile ranking, and B) the measure of average that would be the most meaningful is the median.

Given that your class rank in 2018 was 89 out of 360 students, while in 2019 your class rank was 95 out of 450 students, to determine A) in which year did you have the higher percentile ranking, and B) if you had the data on the cumulative GPA of each student at the end of the spring semester in 2018, which measure of average would be the most meaningful - mean, median or mode -, the following calculation should be performed:

  • 360 = 100
  • 89 = X
  • 89 x 100/360 = X
  • 24.72 = X
  • 450 = 100
  • 95 = X
  • 95 x 100/450 = X
  • 21.11 = X

Therefore, A) given that in 2019 you were among the 21.11% of the best students in the class, in that year you had the higher percentile ranking, and B) the measure of average that would be the most meaningful is the median.

Learn more about maths in brainly.com/question/25748895

8 0
2 years ago
What is the gcf of 7 and 28
valentinak56 [21]

Answer: 7

The greatest common factor of 7 and 28 because 7 is the maximum number that goes into 7 and is also a multiple of 28.

Hope this helps!  :)

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Need help with this algebra 2 question
loris [4]

Answer:

Step-by-step explanation:

1

8 0
2 years ago
Other questions:
  • The expression y2 – 10y + 24 has a factor of y – 4. What is another factor of y2 – 10y + 24? y – 20 y – 14 y – 8 y – 6
    9·2 answers
  • 4, 3, 2, 5, 6, 6, 10, 5, 6, 2, 3, 4, 6, 7, 14,5<br><br> 3. What is the mode(s) of the data set?
    10·2 answers
  • after school, 5 students worked on math homework, 3 students worked on spelling homework, and 4 students played basketball. in a
    15·1 answer
  • Whats is a number smaller than 19 but has more factors than 21
    11·1 answer
  • After purchasing a cell phone online, Mary attempts to sell the phone for $325. If this was a markup of 24%, how much did Mary o
    11·2 answers
  • How do you solve 1/4x4/7=
    7·2 answers
  • I need help on this!
    5·1 answer
  • Which is not a benefit for direct deposit?
    11·2 answers
  • Lacey is going to paint her house over the summer. She has 3 1/2 cans of paint leftover from the last time she painted. She know
    14·1 answer
  • Translate each inequality. ¨a minimum of 10¨
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!