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
andreev551 [17]
3 years ago
15

A cryptarithm is a math puzzle in which the digits in a simple equation are replaced with letters. Each digit is represented by

only one letter, and each letter represents a different digit. So, for example, we might represent 51+50 = 101 as AB + AC = BCB. In the cryptarithm SEND + MORE = MONEY, what digit does the letter Y represent?
Mathematics
1 answer:
leva [86]3 years ago
8 0

Answer:

\large \boxed{\sf \begin{aligned}9567&\\+1085&\\----&-\\10652&\\\end{aligned}}

Step-by-step explanation:

Hello, let's do it step by step and see what we can find.

\begin{aligned}\text{ SEND}&\\+\text{ MORE}&\\-----&-\\\text{ MONEY}&\\\end{aligned}

We assume that M is different from 0, otherwise we could find several different solutions I would think.

It means that S + M is greater than 10, otherwise the number of digit of the result would have been 4 and not 5.

The only possible number for M is then 1. M = 1

\begin{aligned}\text{ SEND}&\\+\text{ \boxed{1}ORE}&\\-----&-\\\text{ \boxed{1}ONEY}&\\\end{aligned}

But then, S can only by 9, otherwise S + 1 < 10. S = 9

S + 1 = 10 + O if there is no carry over, so S = 9 + O

1 + S + 1 = 10 + O if there is a carry, so S = 8 + O

So O = 0 or O = 1. Wait !? M is already equal to 1 so O must be 0

E cannot be equal to N so 1 + E = N, meaning that there must be a carry over from column second from the right.

and E < 9 as we know that there is no carry over from column 3 from the right.

N + R = 10 + E => 1 + E + R = 10 + E => R = 9, impossible, as S=9

or 1 + N + R = 10 + E => 1 + 1 + E + R = 10 + E => R = 8

And there is a carry over from the column 1 from the right, so:

Y cannot be 0 or 1, as already used so D + E > 11

8 and 9 are already taken so we could have 7 + 5 = 12, 7 + 6 = 13 and that's it.

It means that E is 7 or D is 7.

If E is 7 then E+1=9=N, impossible, so D = 7

Then, E is 5 or 6

if E = 6 E + 1 = N = 7, impossible, so E = 5 and N = 6.

And 7 + 5 = 12 so Y = 2.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

You might be interested in
Help me plz, i’d love u forever
Sergio039 [100]

1. We know that 1 feet = 12 inches

let x be a number of inches, which when added to 18 inches will give 7 feet

18 inches + x inches = 7 feet

18 inches + x  inches = 84 inches                      <em> [1 feet = 12 inches]</em>

x inches = 84 inches - 18 inches

x inches = 66 inches

2. We know that 1 mile = 1760 yards

let x be the number of yards, when added to 2000 yards will be equal to 2 miles

2000 yards + x yards = 2 miles

2000 yards + x yards = 3520 yards

x yards = 1520 yards

3. We know that 1 feet = 12 inches

Number of feet = Given number of inches / 12

Number of feet = 108 / 12

Number of feet = 9 ft.

4. We know that 1 mile = 5280 feet

let x be the number of feet, when added to 8800 feet. will be equal to 8 miles

8800 feet + x feet = 8 miles

8800 feet + x feet = 42240 feet             <em>[1 mile = 5280 feet]</em>

x feet = 42240 - 8800

x feet = 33440 ft.

5. We know that 12 inches = 1 feet

let x be the number of inches, when added to 37 inches, will be equal to 5 feet

37 inches + x inches = 5 feet

37 inches + x inches = 60 inches        <em> [12 inches = 1 feet]</em>

x inches = 23 inches

6. We know that 1 yard = 3 feet

So, (number of yards)*3 = (number of feet)

Number of yards = number of feet / 3

Number of yards = 73 / 3 = 24.33 yards

7. We know that 1 yard = 3 feet

let x be the number of feet added to 15 feet to make 9 yards

15 feet + x feet  = 9 yards

15 feet + x feet = 27 feet       <em>[1 yard = 3 feet]</em>

x feet = 12 ft

8. We know that 1 mile = 1760 yards

let x be the number of yards remaining to reach 4 miles

3000 yards + x yards = 4 miles

3000 yards + x yards = 7040

x yards = 4040 yards

9. We know that 1 yard = 3 feet

So, number of yards * 3  = number of feet

replacing the values:

number of yards*3 = 114

number of yards = 114/3

number of yards = 38 yards

10. We know that 1 mile = 5280 feet

let x be the number of feet that must be added to 9000 feet to make 3 miles

x feet + 9000 feet = 3 miles

x feet + 9000 feet = 15840 feet

x ft = 6840 ft

11. We know that 12 inches = 1 feet

let x be the number of inches that must be added to 46 inches to get a length of 9 feet

46 inches + x inches = 9 feet

46 inches  + x inches = 108 inches

x inches = 108 - 46 inches

x inches = 62 inches

12. We know that 1 mile = 1760 yards

let x be the number of yards that must be added to 3500 yards to make 2 miles

3500 yards + x yards = 2 miles

3500 yards + x yards = 3520 yards

x = 20 yards

13. We know that 1 ft = 12 inches

So, number of feet * 12 = number of inches

number of feet = number of inches / 12

<em>number of feet in 252 inches</em>

Number of feet = 252/12

Number of feet = 21 ft

14. We know that 1 mile = 5280 feet

let x be the number of feet, when added to 6500 feet, will be equal to 2 miles

x ft + 6500 ft = 2 miles

x ft + 6500 ft = 10560 ft

x ft = 4060 ft

15. We know that 1 mile = 5280 feet

let x be the number of feet, when added to 4500 feet, will be equal to 1 mile

x ft + 4500 ft = 1 mile

x ft + 4500 ft = 5280 ft

x ft = 780 ft

3 0
3 years ago
Solve 47-x^2=-2 plz I will give Brainlyest plz do lol
Rama09 [41]

answer and explanation are in the picture.

6 0
3 years ago
Read 2 more answers
Need help on this question 36
frosja888 [35]
For the bottom, to find the top side of the triangle, 10-4, as seen from the top and bottom sides of the rectangle. So 6.

To find  the left side of triangle, subtract 12 from 8. 12 from the left and 8 from the rectangle. This gives you 4.

Now that we have 6 and 4, we can find the area:

A= ab/2

A= (6*4)/2

A=24/2

A=12 mm^2
5 0
2 years ago
I dint want you to answer can you just explain to me how I can answer this because my teacher doesn't explain ​
VARVARA [1.3K]

Answer:

Train B is traveling faster.

Step-by-step explanation:

To find which train is faster, divide the distance the train traveled by the elapsed time for each train:

Train A:

Distance traveled is 12.5 meters.

Elapsed time is 1 second.

12.5 ÷ 1 = 12.5

Train A travels 12.5 meters per second.

Train B:

Distance traveled is 100 meters.

Elapsed time is 4 seconds.

100 ÷ 4 = 25

Train B travels 25 meters per second.

25 is greater than 12.5, so train B travels faster.

3 0
3 years ago
Find the product........................................
Verdich [7]

For this case we must find the product of (2x + 3) (2x-3), for this, we must apply the distributive property, which by definition establishes that:

(a + b) (c + d) = ac + ad + bc + bd

So:

(2x + 3) (2x-3) = (2x) ^ 2 + (2x) (- 3) + (3) (2x) + (3) (- 3)

considering that+ * - = -

(2x + 3) (2x-3) = 4x ^ 2-6x + 6x-9\\(2x + 3) (2x-3) = 4x ^ 2-9

Answer:

Option A


8 0
3 years ago
Other questions:
  • Sharon wants to make 24 half-cup servings of soup. How many ounces of soup does she needs?
    11·1 answer
  • Is the center of dilation colinear with the hypotenuses of the right triangles shown?
    14·1 answer
  • A stool of ribbon holds 6.75 meters.A craft club buys 21 stools. What is the total cost if the ribbon sells for $2 per meter.
    12·1 answer
  • What is 0.727272 as a simplified fraction?
    8·1 answer
  • Please help! Will give brainiest! (more than 5 points)
    12·1 answer
  • A school has 20% of girls and 160 boys, how many kids are in the school?
    5·1 answer
  • What is the square root of four
    8·1 answer
  • Please i need help me!!!! Joe and his family are touring Chicago. They want to visit the Willis Tower, hang out at Navy Pier, an
    14·1 answer
  • What is the least multiple 6 and 8 have in commen explain
    10·2 answers
  • HelloI need some assistance with this question. I provided an answer, but it was incorrect. The images are enclosed.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!