Find all possible values of the fraction below. (Assume different letters are different digits, and the same letters are the same digits.) (G*R*O*U*N*D)/(B*A*S*E)

Answers

Answer 1

Answer:

there is one possible value: 0.

Step-by-step explanation:

We have 10 different letters in this fraction {G,R,O,U,N,D,B,A,S,E} and only 10 different digits {0,1,2,3,4,5,6,7,8,9}. It means that some letter must be equal to 0. Consider two cases:

I case:

[tex]0 \in \{G, R, O, U, N, D\}[/tex]. Then enumerator of fraction must be equal to zero (because product of numbers with zero among them always zero).

So [tex]\frac{GROUND}{BASE} = \frac{0}{BASE} = 0[/tex] in this case.

II case:

[tex]0 \in \{B,A,S,E\}[/tex]. Then for the same reasons as in I case denominator of fraction is equal to zero. And we know that fraction

[tex]\frac{BASE}{0}[/tex] is not well-defined.


Related Questions

Alex and Thomas share 30 sweets.They divide them in the ratio 3:2. Which share is Alex?​

Answers

Answer:

Alex : 18

Step-by-step explanation:

3 + 2 = 5

30 ÷ 5 = 6

6 × 3 = 18

6 × 2 = 12

Find the output, y, when the input, x is −4

Answers

Answer:

i mean if i was you it would be 4 postive , in my math head

Step-by-step explanation:

hi:) I tried using the sine rule but I couldn’t get the ans :( anyone able to help? Thank you:)!!

Answers

Answer:

141.9° (1 d.p.)

Step-by-step explanation:

Please see attached picture for full solution.

Sine rule cannot be used since there is no given angle in △PQR. Note that the bearing of Q from P (041°) equals to ∠NPQ not ∠PQR.

PLZ HELP Find the surface area of this rectangular pyramid. 48.5 square inches 48 square inches 31.75 square inches 55 square inches

Answers

Answer:

48.5

Step-by-step explanation: i just did the problem

Answer:

48.5 is your answer

Step-by-step explanation:

In 1995, the USPS approximated that they handled 1.8 x 10^11 pieces of mail. In 2010, the
USPS reported that they handled 1.7 x 10^11 pieces. How many more pieces of mail were
handled in 1995 than in 2010?

Answers

Answer:

[tex]1 \times 10^{10}[/tex] more pieces of mail were handled in 1995 than in 2010.

Step-by-step explanation:

We are given that in 1995, the USPS approximated that they handled  [tex]1.8 \times 10^{11}[/tex] pieces of mail and in 2010, the USPS reported that they handled [tex]1.7 \times 10^{11}[/tex]  pieces.

To find how many more pieces of mail were handled in 1995 than in 2010, we do subtraction of the pieces of mail that were handled in both the years.

Pieces of mail handled in 1995 = [tex]1.8 \times 10^{11}[/tex]

Pieces of mail handled in 2010 = [tex]1.7 \times 10^{11}[/tex]  

As it is clear that more pieces of mail were handled in 1995.

So, Pieces of mail handled in 1995 - Pieces of mail handled in 2010 = [tex](1.8 \times 10^{11}) -(1.7 \times 10^{11})[/tex]

=  [tex]10^{11} \times (1.8 -1.7)[/tex]

=  [tex]10^{11} \times 0.1[/tex] = [tex]1 \times 10^{10}[/tex]

Hence, [tex]1 \times 10^{10}[/tex] more pieces of mail were handled in 1995 than in 2010.

PLS HELP How many cubes with side lengths 1/4 of does it take to fill the prism

Answers

1 whole or 4/4 time's what its being compaired to then multiply to get your answer! :D stay safe!

Answer:

224

Step-by-step explanation:

Khan hehe

The following data summarizes
yesterday's orders at Sizzlin' Skillets. 3
Vegetable, 6 Chicken, 2 Pork, 2 Beef, 5
Shrimp. Based on this data, what is a
reasonable estimate of the probability
that the next type of stir fry ordered is
vegetable?
A: 0.11
B: 0.17
C: 0.28
D: 0.33​

Answers

Answer: 3/21=1/7

Step-by-step explanation:

x^2 + 6x + 5 show equation​

Answers

Answer:

[tex]\boxed{\sf \ \ \ x=-5 \ \ \ or \ \ \ x=-1 \ \ }[/tex]

Step-by-step explanation:

[tex]x^2+6x+5 = x^2+x+5x+5 = x(x+1)+5(x+1)=(x+5)(x+1)[/tex]

so

[tex]x^2+6x+5 = 0 <=> (x+5)(x+1)=0\\\\<=> x = -5 \ or \ x=-1[/tex]

hope this helps

y=-2
x=-2y=6

y=-2
x+2y=6

x=-2
2x-y=3

x=-2
2x+y=-3

Answers

Answer:x+y=24  

is the respuesta

Point S is located at(9,−3). Point T is located at (4,-3)

Answers

Answer:

if 52x=1 what is the value of x

Answer:

5.

Step-by-step explanation:

Khan academy (I tried 5 and it was correct)

Line a is parallel to line b. If the measure of <2 is 78, what is the measure of <5

Answers

Step-by-step explanation:

x + 78 = 180

x = 180 - 78

x = 102° for <5

find the values of x and y​

Answers

Answer:

x = 85 Degrees

y = 85 Degrees

Step-by-step explanation:

20 Degrees + 90 Degrees -->

90 and 20 are given => 110 Degrees

e triangle angles sum = 180 Degrees

180 - 110 = 70 Degrees

=> Vertical angles so 25 + x + 70 = 180

x = 85

x + (z) = 180 e sum of half 360

85 + z = 180

z = 95 Degrees

--> z + (y) = 180 e same as above (sum of interior angles)

95 + y = 180

y = 85

Hope this helps!

-5x[tex]\sqrt{3}[/tex]+11=-34

Answers

Answer:

-5√3x = -45

√3x = 9

x = 3√3

The sum of three consecutive integers is 270. Find the integers

Answers

Answer:

Step-by-step explanation:

89,90,91

Answer:

Let's call the first integer x, and therefore, the second and third integers would be x + 1 and x + 2 respectively since they are consecutive. Since their sum is 270 we can write:

x + x + 1 + x + 2 = 270

3x + 3 = 270

3x = 267

x = 89 which means that the answer is 89, 90, 91.

Someone with the right answer help me

Answers

Answer:

46 degrees.

Step-by-step explanation:

Sin(angle) = 5/7. Using a calculator, this angle is thus 45.6, or approximately 46 degrees.

Solve for x in the triangle. Round your answer to the nearest tenth.

Answers

Answer:

x = 5.5 to the nearest tenth.

Step-by-step explanation:

Here we have a right triangle with one angle (65 degrees) given.  Side x is the "side adjacent to the angle" and is to be found.  The hypotenuse is 13.

The cosine function makes use of these three knowns:  the angle, the hypotenuse and the adjacent side.  Thus:

cos 65 degrees = adj / hyp = x / 13, or

x = 13 cos 65

Evaluating this on a calculator, we get  x = 5.49, or x = 5.5 to the nearest tenth.

The value of a car decreases $500 for every 1,000 miles it is driven. The current value of the car is $23,000, and the car is driven an average of 10,000 miles per year. What will be the value of the car, in dollars, at a point in time y years from now?

A) $23,000 − $500y

B) $23,000 − $0.02y

C) $23,000 − $5,000y

D) $23,000 − $0.0002y

Answers

Answer: C

Step-by-step explanation:

If we know the value of the car decreases $500 for every 1,000 miles, and that the car is driven about 10,000 miles every year, that means that you need to take the total value of the car (23,000) and subtract it from the amount of money it is losing per year. Again, the car is driven about 10,000 miles per year, so that means that the car will most likely continue to be driven 10,000 miles per year. If you do the math, for one year, the value of the car will drop $5,000 ($500 x 10, because it is $500 per every 1,000 miles) So, for each year, you can just multiply the number of years by $5,000 to find out how much the vehicle has depreciated over time.

Hope this helped you and made sense! Feel free to ask me any questions you have!

Which of the following are solutions to lx-1|=5x+2? Check all that apply

Answers

Answer:

x=-3/4 x=-1/4

Step-by-step explanation:

x-1=5x+2

-3=4x

x=-3/4

x+1=5x+2

-1=4x

x=-1/4

HELP! WILL GIVE BRAINLIEST! Given the table of values below which of the following ordered pairs are found on the graph of the inverse function?

Answers

I believe the correct option would be: Option C. (2,-2), (7,-1), (12,0), (17, 1), (22,2)

Hope this helps!

Answer:

C. (2,-2), (7,-1), (12,0), (17, 1), (22,2)

Step-by-step explanation:

a p e  x , just took the quiz

PLS HELP ME GUYS I NEED HELP WITH GEOMETRY

Answers

Answer:

7, -21

Step-by-step explanation:

F could be located 14 to the left of -7 or 14 to the right of -7.  7 and -21 could be the possible locations of F.

hey pls show some working i need some serious help

Answers

Answer:

[tex]\frac{x^{12}y^{4}}{z^3}[/tex]

Step-by-step explanation:

Step 1: Multiply exponents

[tex]\frac{y^{6/6}z^{-6/2}}{x^{-12}y^{-6/2}}[/tex]

Step 2: Simplify

[tex]\frac{yz^{-3}}{x^{-12}y^{-3}}[/tex]

Step 3: Flip the negative exponents

[tex]\frac{x^{12}y^{4}}{z^3}[/tex]

In ΔCDE, m∠C = (9x+11)^{\circ}(9x+11) ∘ , m∠D = (3x-15)^{\circ}(3x−15) ∘ , and m∠E = (2x+16)^{\circ}(2x+16) ∘ . What is the value of x?

Answers

Answer:

x = 12

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180, that is

9x + 11 + 3x - 15 + 2x + 16 = 180, simplify left side

14x + 12 = 180 ( subtract 12 from both sides )

14x = 168 ( divide both sides by 14 )

x = 12

What percent of the rectangle below is shaded?

Answers

Answer:

80% of the rectangle is shaded.

Step-by-step explanation:

There are 10 rows and of those rows 8 are shaded.

Answer:

D

Step-by-step explanation:

80/10

10 20 30 40 50 60 70 80 90 100

 8 shaded so 80 percent

Edmund makes a cube using eight small cubes.

Samuel uses cubes of the same size as the small cubes to make a cuboid twice as long, three times as wide and four times as high as Edmund’s cube

Answers

Answer: 184

Step-by-step explanation:

so edmund would have a 2 by 2 cube (try and draw it out if that helps) so

2 x 2 = 4

2 x 3 = 6

2 x 4 = 8

so samuel cubeboid would be

long = 4

wide = 6

hight = 8

8 x 6 x 4 = 192 small cubes

but we are trying to find how much more samuel got

so 192 - 8 = 184

If 3* = 54, then which of the following must be true?

Answers

Answer: 3 < pi < 4

Step-by-step explanation:

1/2(8+6)-2=4+x-2 pls explain the steps on how to get the answer

Answers

This is how you solve 1/2(8+6)-2=4+x-2

Answer:

3

Step-by-step explanation:

1/2(8+6)-2=4+x-2

1/2*14 -2 = 2+x

7-2=2+x

5=2+x

x=5-2

x=3

Find the average rate of change of the function

f(x) = x² + 9x from x1 = 1 to x2 = 5.

Answers

Answer:

15

Step-by-step explanation:

The function is;

f(x) = x² + 9x

We are to find the average rate of change from point [tex]x_{1}[/tex] = 1 to point [tex]x_{2}[/tex] = 5

Average rate of change = [tex]\frac{f(x+h) - f(x)}{h}[/tex]  where h is the change in x-axis

When x = 1 , f(x) = 1² + 9(1) = 10

When x = 5, f(x) = 5² + 9(5) = 70

f(x + h) - f(x) = 70 - 10 = 60

h = 5 - 1 = 4

So average rate of change = [tex]\frac{60}{4}[/tex] = 15

The average rate of change of the function f(x) = x² + 9x from x₁ = 1 to

x₂ = 5 will be 15.

What is Average rate?

The average rate change is defined by divide the change in y - values by the change in x - values.

Given that;

The function is defined as;

⇒ f(x) = x² + 9x ; from x₁ = 1 to x₂ = 5

Now,

The formula for the average rate change is given as;

Average change = f (x + h) - f (x) / h

Where, h is change in x - axis.

Since, The function is;

f(x) = x² + 9x

When,  x₁ = 1

f(x) = x² + 9x

f(1) = 1² + 9

f (1) = 10

When, x₂ = 5

f(x) = x² + 9x

f(x) = 5² + 9 x 5

f (5) = 25 + 45

f (5) = 70

So, Average change = f (x + h) - f (x) / h

Average change = 70 - 10 / (5 - 1)

                         = 60 / 4

                         = 15

Thus, The average rate of change of the function f(x) = x² + 9x from x₁ = 1 to x₂ = 5 will be 15.

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(139) HELLLLLLLLLLLLLLLLLLLLLLLLLP

Answers

Answer:

Step-by-step explanation:

-3.25a+4a=2-5

0.75a=-3

a = -4

Tell me if its right

SOMEONE PLEASE HELP ME ASAP PLEASE!!!​

Answers

Answer:

243,729

Step-by-step explanation:

You just need to multiply each number by 3.

I hope this help you :)

Answer:

243, 729

Explanation:

To solve this problem we must first understand what the pattern is in the sequence. Once we understand the pattern, we can then apply it to the final known term to find the next two terms.

Take a look at the sequence given:

1, 3, 9, 27, 81,...

Let's start by figuring out how they got the second term in the sequence. To do that, identify what basic operation and number must be applied. This will reveal the pattern.

1 - first term

3 - second term

1 ? ? = 3

1 × 3 = 3

So, this means the sequence multiplied three to get the next term. Therefore, the pattern should be 'multiply three' to get the next term. Just to be sure the pattern we found is correct, apply it to the given sequence.

1, 3, 9, 27, 81,...

1 × 3 = 3

3 × 3 = 9

9 × 3 = 27

27 × 3 = 81

So, since 'multiply three' every time gives us the next term, the pattern is correct.

Finally, let's continue the pattern to find the next two terms.

81 × 3 = 243

243 × 3 = 729

Therefore, the next two terms in the sequence are 243, 729.

6,000 = bu + 4,000. Given the above equation with constant b, what is the value of 600,000 + 100 bu + 400,000 in millions?

Answers

Answer:

1.2 million

Step-by-step explanation:

First multiply the equation by 100. You get:  

600,000 = 100bu + 400,000

Now recognize that you can substitute:

600,000 + 100bu + 400,000

= 600,000 + (600,000)

= 1,200,000

That’s 1.2 million.

The value of the equation given is 1.2 millions.

What are equations?

An equation is a mathematical statement that shows that two mathematical expressions are equal.

For example, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

Given that, an equation, 6,000 = bu + 4,000, we need to find the value of the equation 600,000 + 100 bu + 400,000,

So, In the equation 1, multiply by 100, we get,

6,000 = bu + 4,000

600000 = 100 bu + 400000

Now, put this in equation 2,

600,000 + 100 bu + 400,000

= 600000 + 600000

= 1200000

= 1.2 millions

Hence, the value of the equation given is 1.2 millions.

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