Luke made an elaborate code to remember the 10-digit combination to his bicycle lock. This is the code he came up with: F-G-E-D-A-K-B-J-C-H Each letter stands for a different digit (0-9). Study the clues below to figure out what digit is represented by each letter. When two letters are written together without an operation symbol, they represent a tens digit and a ones digit. F+F+F=D B÷ H = K J + A = CC
H+H = B. F×H= CK. D×F = KG G+B+E=D+A+C. A×H = KE J÷F=K F/J = H/B

What is the 10-digit combination to Luke's bicycle lock?

this is all the information I have.
please show work by either showing a picture of explaining it in text. Thank you ​

Answers

Answer 1

9514 1404 393

Answer:

  lock code: 3709528614

Step-by-step explanation:

Given:

3F = DH×K = BJ+A = CCH×2 = BH×F = CKD×F = KGG +B +E =D +A+CH×A = KEK×F = J

Find:

  single digit corresponding to each letter

Solution:

CC must be 11, because the sum of any pair of single digits cannot exceed 18. (C = 1).

K must be 2, because H×K = B = H×2. (K = 2)

The only single-digit products involving 3 are 3×1 = 3, 3×2 = 6, and 3×3 = 9. We know F is not 1 or 2, so for 3F = D we must have F = 3, D = 9. (F = 3)(D = 9)

CK = 12, so H×F = 3H = 12. This means H = 4. (H = 4)

2H = B, so B = 8. (B = 8)

D×F = KG. Using the values for D, F, K, we find 9×3 = 27. (G = 7)

K×F = J = 2×3. (J = 6)

At this point, the only unassigned digits are 0 and 5.

H×A = KE. Filling in known values, this is 4A = 20 +E. (A = 5)(E = 0)

The sum E+15 = A+10 can also be used to assign values to A and E.

__

Then the letters corresponding to the digits 0-9 are ...

  [tex]\texttt{01234 56789}\\\texttt{ECKFH AJGBD}[/tex]

The bicycle lock code is 3709528614.


Related Questions

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Answers

Answer:

Step-by-step explanation:

h = 3 ft

l*b = 25 sq.ft

Volume = l*b *h

             = 25 * 3

             = 75 cubic feet

Answer:

75ft

Step-by-step explanation:

First you mupilply  [tex]25 x 3 = 75ft[/tex]

and that is it.

The number 356 is between which pair of numbers? a. 340 and 350 b. 350 and 360 c. 360 and 370 d. 370 and 380​

Answers

B. 350, 351, 352, 353, 354, 355, ‘356’, 357, 358, 259, 360

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Answers

Answer:

24-20   311-310     107-110

Step-by-step explanation:

Answer:

nearest tenth

......

24= 20

311=310

107=110..........

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Answers

Answer:(x - 4)(2x + 3)

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F -- so multiply first terms in each set....(x)(2x)

O -- multiply outside terms in each set...(3)(x)

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L -- multiply last terms in each set.......(-4)(3)

Step-by-step explanation:

If you translated the point a (4,-3) left 2 units and down 6 units where is A

Answers

It would be (-2, 1)

How do you solve for x and y. Thanks!!




Kinda urgent sorry..

Answers

Answer:

x= 17.5

y= 35

Step-by-step explanation:

Steps are in attachment.

Answer:

• For x (Acute angle property)

[tex]{ \rm{(2x + 10) \degree + 30 \degree + 6x=180 \degree}} \\ \\ { \rm{8x + 40=180}} \\ \\ { \rm{8x = 140}} \\ \\ { \boxed{ \underline{ \rm{ \: \: x =17.5 \: \: }}}}[/tex]

• For y ( Interior angle sum of triangles )

[tex]{ \rm{(y + 10) \degree + 6x \degree + 30 \degree = 180 \degree}} \\ \\ { \rm{y + 10 + 30 + (6 \times 17.5) = 180}} \\ \\ { \rm{y +145 = 180 }} \\ \\ { \boxed{ \underline{ \rm{ \: \: y = 35 \: \: }}}}[/tex]

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Answers

289254654976 if the 7 10 is to the power of not quite sure what you’re supposed to do with the 7 and 10 and 4 and 5

What are the values of each Halloween icon? (Math Logic Puzzles)

Answers

Witch hat = 5

Jack o' lantern = 2

Ghost = 7

Witch Pot = 10

7 x 5 = 35 + 5 = 40

10 x 2 = 20 + 2 = 22

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2 x 5 = 10 + 7 = 17

7 + 7 = 14 + 5 = 19

1. 7x5+5=40

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4. 2x5+7=17

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Jerry played with 3 friends today, all at different times. He played with Tommy for 1 7/8 hours, then Nathan for 1 3/4 hours, then Chris for 3/2 hours.
How many hours did Jerry play with his 3 friends today?

Answers

Answer:

4hrs 7 minutes and 30 seconds

Step-by-step explanation:

1 7/8 = (1=60) + (7/8 * 60) = 1 : 52:50 time played with Tommy   1 3/4 = (1=60 ) ( (3/4 * 60) = 1:45:00 time played with Nathan   3/2 = (3/2 *60) = 90 = 1:30:00 time played with Chris    Total played with 3 friends = 1:52:50 + 1:45:00+1:30:00= 4:07:50 = 4hrs 7 minutes and 30 seconds

Show that:
[tex]\bigg(\frac{ \sqrt{7} + i \sqrt{3} }{\sqrt{7} - i \sqrt{3} } + {\frac{ \sqrt{7} - i \sqrt{3} }{ \sqrt{7} + i \sqrt{3} } } \bigg) \: is \: real \\ [/tex]
Please answer this question.​

Answers

Step-by-step explanation:

[tex]\large\underline{\sf{Solution-}}[/tex]

Consider,

[tex]\rm \longmapsto\:\dfrac{ \sqrt{7} + i \sqrt{3} }{ \sqrt{7} - i \sqrt{3}} + \dfrac{ \sqrt{7} - i \sqrt{3} }{ \sqrt{7} + i \sqrt{3} } [/tex]

On taking LCM, we get

[tex]\rm \:  =  \: \dfrac{ {( \sqrt{7} + i \sqrt{3})}^{2} + {( \sqrt{7} - i \sqrt{3})}^{2} }{( \sqrt{7} + i \sqrt{3})( \sqrt{7} - i \sqrt{3})} [/tex]

We know,

[tex] \purple{\rm \longmapsto\:\boxed{\tt{ {(x + y)}^{2} + {(x - y)}^{2} = 2( {x}^{2} + {y}^{2})}}} \\ [/tex]

and

[tex] \purple{\rm \longmapsto\:\boxed{\tt{ (x + y)(x - y) = {x}^{2} - {y}^{2} \: }}} \\ [/tex]

So, using these Identities, we get

[tex]\rm \:  =  \: \dfrac{2\bigg[ {( \sqrt{7})}^{2} + {(i \sqrt{3}) }^{2} \bigg]}{ {( \sqrt{7}) }^{2} - {(i \sqrt{3})}^{2} } [/tex]

[tex]\rm \:  =  \: \dfrac{2(7 + 3 {i}^{2})}{7 - {3i}^{2} } [/tex]

We know,

[tex] \purple{\rm \longmapsto\:\boxed{\tt{ {i}^{2} = - 1}}} \\ [/tex]

So, using this, we get

[tex]\rm \:  =  \: \dfrac{2(7 - 3)}{7 + 3} [/tex]

[tex]\rm \:  =  \: \dfrac{2 \times 4}{10} [/tex]

[tex]\rm \:  =  \: \dfrac{4}{5} [/tex]

Hence,

[tex] \red{\rm\implies \:\boxed{\sf{ \dfrac{ \sqrt{7} + i \sqrt{3} }{ \sqrt{7} - i \sqrt{3}} + \dfrac{ \sqrt{7} - i \sqrt{3} }{ \sqrt{7} + i \sqrt{3} } \: is \: purely \: real}}}[/tex]

PLSSS HLEPP ME OUTT ITS URGENTTTT​

Answers

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Hope this helps!

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Answers

Answer:

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the answer is

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Simplify the expression!

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

[tex]\boxed {x=-4}[/tex]

Step-by-step explanation:

[tex]2(x+6)=4[/tex]

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Subtract 6 from both sides:

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______________________

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

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Step-by-step explanation:

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SUNMIT

Answers

Answer:

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Step-by-step explanation:

Write properties of function: Write properties of function:

x intercept/zero:  x = 0

Answer: Write properties of function:

x intercept/zero: x = 0

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Answers

Answer:

$12.33

Step-by-step explanation:

Since the bill is $68.50, and Jim wants to tip 18%, it will be $80.83 in total

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since you don't want to DECREASE the bill, it's 1.18

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HELP ME PLEASEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

Commutative Property

Step-by-step explanation:

Hope it helps. Please mark me brainliest if you would :D

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Answers

Answer:

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Step-by-step explanation:

Here are the 3 lines graphed (I even labeled each for you) so you can have a bit of a visual.

Hopefully you can find the points on each graph.

(Hint: The x row represents the x coordinate of an ordered pair, and the y row represents the y coordinate of an ordered pair.)

Ordered pairs look like this btw (x,y)

Hope this helps :)

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Answers

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Answer:

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Step-by-step explanation:

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Answers

Answer:

hey I hope this is clear

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

Answer:

10

Step-by-step explanation:

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