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

A circular flowerbed is surrounded by a path 2.5m wide .The diameter of the flower bed is 40m. Find the area of the path .​

Answers

Answer:

The answer is in the photo

Step-by-step explanation:

consider the following simplified algebraic expression 10x²y+6x²-7y²-6 which could be the original expression​

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Answer:

You technically can't do anything with it since it the algebraic expression doesn't factor.

Step-by-step explanation:

[50 pts] Zeke is a cook at Maxine’s Café after school and earns $12.75 per hour. Zeke worked a lot hours this week and charged $17.90 in meals. After paying for meals, Zeke’s earnings were less than $240. Which inequalities can be used to find h, the maximum number of hours that Zeke could have worked this week? (choose 2)


A 240 > 12.75h + 17.90

B 240 > 12.75h – 17.90

C 12.75h – 17.90 < 240

D 12.75h – 17.90 < 240

E 17.90 – 12.75h < 240

Answers

Answer:

240 > 12.75h – 17.9012.75h – 17.90 < 240

Step-by-step explanation:

Zeke's earnings are:

12.75h - 17.90

This amount is less than 240.

This can be shown as:

12.75h - 17.90 < 240 or240 > 12.75h - 17.90

The matching choices are B, C and D (note C and D are given same, must be a typo)

Answer:

C 12.75h – 17.90 < 240

Step-by-step explanation:

I need help with this assignment. Help please

Answers

The answer came as 2257 as listed above

Jessica is stacking items on a shelf she has large books that weigh 5 pounds each and medium books that weigh 3 pounds each. The shelf should hold at most 50 pounds.
Let x represent the number of large books.
Let y represent the number of medium books.

Which inequality represents the situation?

a.) 5x + 3y < 50 b.) 5x +3y ≤ 50 c.) 5x + 3y ≥ 50 d.) 5x + 3y > 50

Answers

Answer:

b) 5x +3y ≤ 50

Step-by-step explanation:

-6 divided by 8? How do you turn it into a fraction problem?

Answers

Answer:

[tex]-\frac{3}{4}[/tex]

Step-by-step explanation:

just put the number on top and what divides it on the bottom

Help me.

Fraction questions

Answers

Answer:

a)

2 sections

b)

9 sections

Step-by-step explanation:

a) there are total 8 boxes

so, for fraction 1/4

1/4 × 2/2 = 2/8

therefore shade 2 sections.

b) there are total 15 sections so to shade 3/5 of this shape

3/5×3/3 = 9/15

therefore , shade 9 sections.

hope this answer helps you dear...take care!

What is -1/2(-4/5) multiplied then in simplest form?

Answers

-1/2(-4/5)

Multiply the numerators by each other and do the same for the denominators.
That is:
-1(-4)=4
And 2*5=10

Now we have 4/10
Divide the numerator and the denominator by 2 to get 2/5 which is the simplest form.

Hope this helped.

.what is the answer please ​

Answers

its  C the only one that makes a angle

A bowling alley charges a flat fee to rent shoes. There is an additional fee for each game played. The function y=2.5x+3

represents the cost y of bowling x games. Interpret the parameters of the function.

represents the shoe rental charge.

represents the price per game.

Answers

The number that represents the shoe rental charge is 3.

The number that represents the price per game is 2.5.

The equation provided is a linear equation. A linear equation is made up of one varaible that has a power of one.

y= 2.5x + 3

In the given equation, 2.5 represent the additional fee for each game played. This number increases with each game played.

When:

1 game is played, the additional fee is 2.5 x 1 = 2.50.10 games are played, the additional fee is 2.5 x 10 = 25.

3 is the flat fee to rent the shoes. It is a constant cost that does not change with the total games played.  

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Which climate zone generally receives the least amount of the
sun's energy?
a) tropical zone
b) subtropical zone
c) temperate zone
d) subpolar zone

Answers

Answer:

d) subpolar zone

(a) A square has a perimeter of 8 cm. What is the length of each side?

Answers

Answer: 2

Step-by-step explanation:

Perimeter is all the sides added up together so a square has 4 sides. 8/4= 2

please help I domt understand ​

Answers

Answer:should be d

Step-by-step explanation:

Answer:

option 2

Step-by-step explanation:

[tex]D = \dfrac{3}{2}W\\\\w = 80 \ lbs\\\\D =\dfrac{3}{2}*80\\\\=3*40\\\\D = 120 mg[/tex]

Which of the following are roots of the polynomial function below?
Check all that apply.
F(x) = x3 - 3x2 + 2

Answers

Answer:

A

Step-by-step explanation:

The answer is A

The roots of the given quadratic equation are -

x = 2   and   x = 1.

What is function?

A function is a relation between a dependent and independent variable. We can write the examples of functions as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is a quadratic function f(x) defined as -

f(x) = x³ - 3x² + 2

The given quadratic function f(x) is -

f(x) = x³ - 3x² + 2

We can write the roots of the equation as -

x = {3 ± √(9 - 8)}/2

x = {3 + √(9 - 8)}/2    and    {3 - √(9 - 8)}/2

x = (3 + 1)/2   and    x = (3 - 1)/2

x = 2   and   x = 1

Therefore, the roots of the given quadratic equation are -

x = 2   and   x = 1.

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i’ll mark brainliest!! i will give a lot of points

Answers

Answer:

Step-by-step explanation:

You have 2 points given. Take them seriously. They represent actual numbers that don't need to be rounded.

The two points are (2,-2) and (-3,-6)

Now construct a line in point intercept form from these two points.

y2 = -2y1 = -6x2 = 2x1 = -3

m = (y2 - y1)/(x2 - x1)

m = (-2 - - 6)/(2 - - 3)

m = 4/5

So far what you know is

y = 0.8 x + b

Use either one of the two points to get b (the y intercept)

x = 2

y = - 2

-2 = 0.8*2 + b

-2 = 1.6 + b             Subtract 1.6 from both sides

-3.6 = b

y = 0.8x - 3.6

3


A market sells chicken for $2.99 a pound​

Answers

This isn’t a complete equation
I agree with this statement, but it is not a question so I cannot answer.

I need answers fast plsss

Answers

Answer:

1/6

Step-by-step explanation:

the form you're using is slope-intercept. That is

y=mx+b

where y= y coordinate

m=slope

x= x coordinate

and b= y intercept

so, m in that equation is 1/6, so the slope is 1/6

Hope this helps!

√(112) - √(80) / √(20) - √(28) = ?​

Answers

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

We need to solve,

[tex]\dfrac{\sqrt{112}-\sqrt{80}}{\sqrt{20}-\sqrt{28}}[/tex]

We can write the above mentioned expression as,

[tex]\sf\longmapsto\dfrac{\sqrt{2\times2\times2\times2\times7}-\sqrt{2\times2\times2\times5}}{\sqrt{2\times2\times5}-\sqrt{2\times2\times7}}[/tex]

So,

[tex]\sf\longmapsto\dfrac{\sqrt{4\times4\times7}-\sqrt{4\times4\times5}}{\sqrt{2^2\times5}-\sqrt{2^2\times7}}[/tex]

So,

[tex]\sf\longmapsto\dfrac{\sqrt{4^2\times7}-\sqrt{4^2\times5}}{\sqrt{2^2\times5}-\sqrt{2^2\times7}}[/tex]

Hence,

[tex]\sf\longmapsto\dfrac{4\sqrt{7}-4\sqrt{5}}{2\sqrt{5}-2\sqrt{7}}[/tex]

Taking common in respective terms,

[tex]\sf\longmapsto\dfrac{4(\sqrt{7}-\sqrt{5})}{2(\sqrt{5}-\sqrt{7})}[/tex]

On cancelling 4 with 2,

[tex]\sf\longmapsto\dfrac{4\!\!\!/^{\:2}(\sqrt{7}-\sqrt{5})}{2\!\!\!/(\sqrt{5}-\sqrt{7})}[/tex]

[tex]\sf\longmapsto\dfrac{2(\sqrt{7}-\sqrt{5})}{(\sqrt{5}-\sqrt{7})}[/tex]

Taking (-) common,

[tex]\sf\longmapsto\dfrac{-2(\sqrt{5}-\sqrt{7})}{(\sqrt{5}-\sqrt{7})}[/tex]

So, (√5 - √7) gets cut,

Hence,

[tex]\longmapsto\bf\dfrac{\sqrt{112}-\sqrt{80}}{\sqrt{20}-\sqrt{28}}=-2[/tex]

HELP PLEASEEEE!!!

Which of the following inequalities matches the graph? у 10 8. दा 4 x 2. 6 8 10 --10-8-6-4-2 -2 - -8 -10 | OX-7 Oxs-7 Oy=-7 Oyz-7

Answers

Answer:

45

Step-by-step explanation:

The graph given is of inequality x ≤ -7.

What is an inequality?

In Algebra, inequality is a mathematical statement that shows the relation between two expressions using the inequality symbol.

Given is a graph of an inequality, we need to determine the inequality,

So, the graph is cutting the x-axis at -7 and all the numbers less than -7 is covered by the graph,

so the inequality will be x ≤ -7

Hence, the graph given is of inequality x ≤ -7.

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3 in
3 in
Perimeter:
Area:

Answers

Step-by-step explanation:

The area = 3 × 3 = 9

The perimeter = 2(3 +3) = 12

please give me a brainliest answer

Answer:

A= a^2, which is 9.

P= 4a, which is 12.

PLZ Hurry!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!The sum of two numbers is 19 and their difference is 7, What are the two numbers?

Answers

Answer:

13 and 6

Step-by-step explanation:

----
an
- 11 + 5(n-1)

Answers

Answer:

-3.2

Step-by-step explanation:

Definition: To solve a problem, we often______
the given information into algebraic expressions and
Example: The phrase "4 more than twice a number' becomes 2n + 4'.

Answers

To solve a problem, we often Translate the given information into algebraic expressions and equations.

Step-by-step explanation:

Consider the provided statement.

In order to solve a mathematical problem, we often translate the given information into algebraic expressions and equations.

For example: “6 less than twice a number"

We first need to translate it.

This can be translated as: 2n-6

Where n represents the number.

Hence, the complete statement is To solve a problem, we often Translate the given information into algebraic expressions and equations.

I just started this chapter someone help me with these 2 questions

Answers

Answers: For the yellow one it’s 14
For the red one it’s 15

Long answer: so the way to do this is to find the ratio. So you look at the filled shape for the yellow ones case it’s the smaller one and the sides have a ratio of 9:6 or 3:2, now since on the other similar shape the 9 lines up with 21 we can divide that by 3 getting us 7 and multiply that by 2 and get 14.

For the red one it’s the same process, 8:6=4:3 so we and we divide 20 by 4 and get 5, then multiply that be 3 and get 15.

Please mark brainliest if this helps.

What is the value of Y when X=-3 ?

Answers

Answer:

2

Step-by-step explanation:

the line is at 2 for Y

Mrs. Blake needs to hire a babysitter. Kelsey charges $6 per hour plus a $5 fee. Lauren charges $4 per hour, plus a $10 fee. Mrs. Blake set up this equation to figure out for what amount of time both babysitters charge the same.

6h + 5 = 4h + 10

What is the correct sequence of steps to solve Mrs. Blake’s equation?
A. Subtract 6h from both sides. Subtract 5 from both sides. Divide each side by –2.
B. Subtract 4h from both sides. Subtract 5 from both sides. Divide each side by 2.
C. Subtract 4h from both sides. Add 5 to both sides. Divide each side by 2.
D. Subtract 4h from both sides. Subtract 5 from both sides. Divide each side by 6.

Answers

Answer: The answer is B.

Step-by-step explanation: I took the test (:

Answer:

b

Step-by-step explanation:

Molly has 3 pounds of blueberries. She is freezing the berries into 1 half pound portions. How many smaller portions of blueberries will Molly make

Answers

6 smaller portions because 3 x 2=6

Answer:

6 smaller portions

Step-by-step explanation:

1 pound (lb) = 16 ounces (oz)

3 lbs = 48 oz

1/2lb = 8oz

48oz (total)/8oz (amount in each portion) = 6 portions

Expand the following

Answers

Answer:

A) 3x +15

B) 8x -2

C) 20x + 10

D) 4x - 8y

Step-by-step explanation:

A) 3x+3 x 5 = 3x + 15

B) 2 x 4x -2 = 8x -2

C) 5 x 4x +5 x 2 = 20x + 10

D) 4x -4 x 2y = 4x - 8y

(Hope this helps can I pls have brainlist (crown)☺️)

can someone do this? <3

Answers

here!

and here’s a link if you want to understand how to do it!

https://www.khanacademy.org/math/algebra-home/alg-intro-to-algebra/alg-manipulating-expressions/a/combining-like-terms-reminder

Answer:

[tex]-4b^3 - 4a^3 + 5a^3 b^2[/tex]

Step-by-step explanation:

Hope it helps!!

What is Two-thirds divided by StartFraction 4 Over 5 EndFraction?

A fraction bar labeled 1. Under the 1 are 5 boxes labeled one-fifth. Under the 5 boxes are 3 boxes containing one-third. Under the 3 boxes are 15 boxes labeled StartFraction 1 Over 15 EndFraction.
Two-thirds
StartFraction 5 Over 6 EndFraction
1 and one-fifth
3 and one-third

Answers

Answer:

B

Step-by-step explanation:

Answer:

b?

Step-by-step explanation:

i think thats it sorry if wrong!

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