A father receives a postcard from his son who is
away at college. It simply reads
SEND
MORE
MONEY
The father is slightly upset that this is all his son
wrote but noticed something interesting. If each
letter is replaced with a single and unique digit, it
would make a true addition statement. The father
replies that he would send money if his son could
figure out what digit each letter would represent.

Answers

Answer 1

Answer:

S = 9, E = 5, N = 6, D = 7, M = 1, O = 0, R = 8, Y = 2

Step-by-step explanation:

The given letters are;

SEND

MORE

MONEY

If we are to add the first two words to get the third word, then we have;

SEND + MORE = MONEY

Where, the letters are unique digits

The maximum value of M = 1, because, the two words are in thousands and their sum is in tens of thousands, they can make up to only a 10

Therefore, S = 9

O = 0

D + E = 10 + Y

1 + N + R = 10 + E

1 + E  = N

∴ 1 + N + R = 10 + E gives;

1 + 1 + E + R = 10 + E

R = 10 + E - (1 + 1 + E) = 8

R = 8

We have;

9 XXX + 108X = 10XXX

From 1 + N + R = 10 + E, we have;

1 + N + 8 = 10 + E

END + RE = NEY

E(1 + E)D + 8E = (1 + E)EY

(1 + E)EY - E(1 + E)D = 8E

10 + Y - D = E

By trial and error, we have;

If Y = 2 and D = 3, we have E = 9 which is not unique

Y = 4 and D = 3, we have E = 11 which is a double digit

Y = 2 and D = 7, we have E = 5

∴ N = 6 which is unique

Trying the combination gives;

S = 9, E = 5, N = 6, D = 7, M = 1, O = 0, R = 8, Y = 2

SEND + MORE = MONEY → 9567 + 1085 = 10652 which is correct.


Related Questions

Which of the following expressions are equivalent to 14^6? Select all that apply.

Answers

Answer:

F which gives you [tex]14^6=7529536[/tex] and A it will give you [tex]7,529,536[/tex] which is equal to [tex]14^6[/tex]

Step-by-step explanation:

it's the only one that ends up with [tex]14^6[/tex] as an answer

D is wrong bc it will give you [tex]14^8[/tex]

E is wrong bc it will give you 1

C is wrong bc it will give you [tex]14^5=537824[/tex]

B is wrong bc it will give you [tex]=14^{15}[/tex]

                                    [tex]\huge\boxed{F,14^-^5*14^1^1}[/tex]

[tex]\boxed{------------------------------------}[/tex]

Explanation...

[tex]14^6\;gives\;us\;7,529,536.\\14^-^5*14^1^1\;also\;gives\;us\;7,529,536.\\\\If\;you\;simplify\;7,529,536\;to\;an\;exponent\;it\;will\;give\;you\;14^6.\\\\Therefore,\;this\;is\;your\;answer...\\\\\\\boxed{F,\;14^-^5*14^1^1}[/tex]

[tex]\boxed{------------------------------------}[/tex]

Hope i helped!

[tex]\huge\boxed{Thanks,\;Plip.}[/tex]

pls help i'll mark as brainliest pls help

Answers

Answer:

a. greater than 1

b. greater than 1

c. less than 1

d. greater than 1

e. equal to 1

f. less than 1

g. equal to 1

Step-by-step explanation:

Basically, when you are doing these types of problems you need to focus on how the shape is changing. If the shape is getting bigger, the factor must be greater than 1. If it is getting smaller, the factor must be less than 1. If the shape stays the same size then the factor is equal to 1.

What is the slope of the line x=-11

Answers

Answer:

If X=-11 the slope would be 0

Step-by-step explanation:

There is no increase in the y axis so there isn't a slope of anything other than 0

A football team scored a total of 41 points in a Sunday game. They scored 7 points in the first quarter, 10 points in the second quarter, and 7 points in the third quarter. How many points did the team score in the fourth quarter?

Answers

41 - 7 - 10 - 7 = 41 - 24 = 17.

The team scored 17 points in the last quarter.

A sample of water has a mass of 193 g. Salt is added to the water, and the final solution weighs 238 g. How much salt was added?
Please help thanks

Answers

Answer: 45 grams (45 g)

To find out how much salt was added, we have to subtract the amount of water from the amount the water weighs now.

238 - 193 = 45.

The answer is 45 grams. Hope this helps!

Find the slope help plz​

Answers

Answer:

The slope would be 10/15 or 2/3 in simplest form.

2
Find the equation of a parabola with a vertex at (2, 4) and a known point at (-5, 2).
f (x) =

Answers

Answer:

           f(x) =  -²/₄₉(x - 2)² + 4

Step-by-step explanation:

The vertex form of an equation of the parabola:  

                                                         f(x) = a(x - p)² + q

vertex is (2, 4)  so  p = 2,  q = 4

so:

   f(x) = a(x - 2)² + 4

the parabola goes through the point (-5, 2) so  x=-5,  f(x)=2

  2 = a(-5-2)² + 4

  - 2 = a(49)

    a = -²/₄₉

Therefore the equation of the parabola in vertex form:

f(x) = -²/₄₉(x - 2)² + 4

Evaluate the expression when n=8
The product of one fourth and a number increased by 3

Answers

5

1/4n + 3
Plug 8 in for n so 1/4(8) + 3
1/4 x 8 = 2
2 + 3 = 5

5

1/4n + 3

plug 8 in for n so 1/4(8) + 3

1/4 × 8 = 2

2 + 3 =5


What is the value of x, rounded to the nearest tenth

Answers

Answer: 3.3

Step-by-step explanation:

Answer:

3.3 centimeters

Step-by-step explanation:

To find the distance between the big side and small side of the shapes:

Set up an algebraic equation: 15x = 7Divide each side by 15 to cancel out the 15 next to x. It should now look like this: x = 7/15

To solve for x:

[tex]\frac{7}{1}[/tex] × [tex]\frac{7}{15} = \frac{49}{15}[/tex]  49/15 = 3.266...3.266... rounded = 3.3 centimeters

I hope this helps!

I need help ASAP< I WILL GIVE BRAINLIEST TO THE FIRST ANSWER

Answers

Answer:

What do you want us to do

Step-by-step explanation:

.

this is so easy bruhhh msg me and i can send u my notes

Solve for x.

x+2/3=−1/6

Please help I'll give brainliest

Answers

Answer:

The answer is

x=-5/6

The graph of a linear function is shown.


Which word describes the slope of the line?

positive
negative
zero
undefined

Answers

the answer is negative slope

Whats this ? 3/5x+1/4x=34

Answers

This is an equation.

Solution:-

[tex] \frac{3}{5} x+ \frac{1}{4} x = 34 \\ ⇒ \frac{15x + 5x}{20} = 34 \\ ⇒ \frac{20x}{20} = 34 \\ ⇒ x = 34[/tex]

Hence, the value of x is 34.

____________________

Hope It Helps Uh!

what 3+6+9
answer 4 pointss

Answers

ayo the answer is 18.

Answer:

3+6+9

9+9= 18

Therefore 3+6+9=18

I'm so confused I got -2 but it's not an option please help me :(​

Answers

Answer:

y = 0

Step-by-step explanation:

-2y-4=4(y-1)

First you want to distribute it

-2y - 4 = 4y - 4

Then just subtract -4y from both sides to neutralize 4y

-6y -4 = -4

then you have to add 4 to neutralize -4

-6y= 0

thus the answer is y= 0

20
22
89
___*_ what is 20 times 22 times 89

Answers

Answer:

39,160

Step-by-step explanation:

20x22=440 x89=39,160

A pie chart is used when

Answers

to compare parts of a whole

Can someone plz help me ty!

Answers

Answer:

the expression: 38+52 divided by 4 1/2

Step-by-step explanation:

The answer is 20

Which percent does this shaded grid represent

Answers

Answer: 48% out of 100%

Step-by-step explanation:

Answer:

48/100 or 48%

Step-by-step explanation:

10+10+10+10+8

= 48. There are 100 blocks. 48/100. That equal 48%

Have a good day and please brainliest me!

what is mensuration and use a diagram to explain​

Answers

Answer:

hello again

Step-by-step explanation:

where Is the diagram attachment

Answer:

meaning of mensuration

measuring

Step-by-step explanation:

do you watch anime which one

help me answer this please it’s due today

Answers

$5 for 1 shirt

y = cost

x = number be shirts

10y = 2x

5y = x

5$ a shirt ...............

Pls I need this one

Answers

Answer:

-9

Step-by-step explanation:

Find the area of a regular hexagon with an apothem of 5 and a side equal to 8.
please help lol 50 points

Answers

Given:

Apothem of a regular hexagon = 5

Side of regular hexagon = 8

To find:

The area of a regular hexagon.

Solution:

Number of side of a hexagon: n = 6

Area of hexagon is

[tex]A=\dfrac{n}{2}\times \text{Apothem}\times \text{Side length}[/tex]

where, n is number of sides of hexagon, i.e., 6.

On substituting the values, we get

[tex]A=\dfrac{6}{2}\times 5 \times 8[/tex]

[tex]A=3\times 40[/tex]

[tex]A=120[/tex]

Therefore, the area of regular hexagon is 120 sq. units.

Jaunice is redecorating her room. She wants to paint a design on a rectangular section of her wall that is at least 76.5 square feet. The height of the design will be 8.5 feet. What is the minimum length of the design Juanice will paint on the wall?

Answers

Answer:

9ft

Step-by-step explanation:

Answer:

the answer is 9 feet

10x-2x in fewer terms

Answers

Answer:

Step-by-step explanations:

10x - 2x

8x

10x - 2x in fewer terms is 8x.

What is Subtraction?

Subtraction can be done for any numbers or algebraic expressions. It is the process of taking out certain value from a given amount of number.

The process of subtraction can also be termed as finding difference.

Given is an expression 10x - 2x.

We have to find the difference of these two expressions.

We can add or subtract only the like terms.

Like terms are terms which consist of same kind of variables.

Here 10x and 2x have same variable x.

So they can be subtracted.

10x - 2x = x(10 - 2) = 8x

Hence the difference of 10x and 2x is 8x.

To learn more about Subtraction, click on the link given below :

https://brainly.com/question/1927340

#SPJ3

what is the slope of the line through (-3,3) and (-1 -1)

Answers

Answer:

-2

Step-by-step explanation:

The slope of the line through (-3, 3) and (-1, -1) is -2, calculated using the slope formula.

The slope of a line on a graph is a measurement of its steepness or incline. It shows the proportion of the rise to the run, or vertical change, between any two points on a line. For each unit of horizontal distance, it shows how much the line rises or falls.

the slope of the line passing through the points (-3, 3) and (-1, -1), we can use the slope formula:

Slope (m) = (change in y) / (change in x)

Change in y = -1 - 3 = -4

Change in x = -1 - (-3) = 2

Slope (m) = -4 / 2 = -2

the slope of the line passing through (-3, 3) and (-1, -1) is -2.

learn more about slope here

brainly.com/question/2491620

#SPJ2

Questions in the photo. Please HELP!

Answers

Answer:

Step-by-step explanation: its a

Answer:

No,

No

because every line has to equal 180. (for both of them)

Please help! :3c
"Drag the tiles to the boxes to form correct pairs.
Match each fraction to its decimal equivalent."

a- 5/11
b-0.14
c-7/50
d-0.45
e-7/9
f-0.916
g-11/12
h-0.7

If you help me out then, thank you so much!

Answers

A/d c/h e/f g/b :) I think

Answer:

can you tell us the answer? if his answer was right or wrong? thank you

Step-by-step explanation:

is CH4 + 2O2 CO2 + 2H2O a balanced eqaution.

Answers

Answer:

yes

Step-by-step explanation:

all the carbon hydrogen and oxygen are well balanced

In the diagram shown to the rig m

Answers

I need it to can some one help us
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