A number is called flippy if its digits alternate between two distinct digits. For example, 2020 and 37373 are flippy, but 3883 and 123123 are not. How many five-digit flippy numbers are divisible by 15?
A 3
B 4
C 5
D 6
E 8

Answers

Answer 1

Answer: B: 4

Step-by-step explanation:

A number is divisible by 15 if the number ends on a 0 or a 5, and the sum of its digits is divisible by 3.

We want to find a 5 digit flippy number, this can be: modeled with:

N = ababa

Where a and b are single digit numbers.

If we impose that N must end with a zero, then we will have:

N  = 0b0b0 = b0b0

This is a 4-digit number, so we can discard all the options that end with a zero.

Then the only option that we have are the numbers like:

B = 5b5b5

This number will be only divisible by 15 if:

5 + b + 5 + b + 5 = K is divisible by 3.

Then let's try find the possible values of b.

K = 3*5 + 2*b

K has two terms, the left term is already divisible by 3, then K will be divisible by 3 only if the other term is also divisible by 3.

Then we want 2*b to be divisible by 3.

And 2 is a prime number, then b must be divisible by 3, and we know that b is a number between {0,1 , 2, 3, 4, 5, 6, 7, 8 ,9}

The options are:

2*0 = 0 is divisible by 3.

2*3  = 6 is divisible by 3.

2*6 = 12 is divisible by 3

2*9 = 12 is divisible by 3.

Then we have four values of b such that:

N = 5b5b5 is divisible by 15.

Then the correct option is: B: 4


Related Questions

PLEASE I NEED HELP URGENT I WILL MARK, SOLVE AND EXPLAIN THE ANSWER

Answers

the answer should be 18 because 10/1 1/4=0.125+1 1/4=1.375+0.125=1.5x12=18
this should be correct i’m truly sorry if it’s not

find the gif of the terms of the polynomial. 52x^8 + 12x^3

Answers

Answer:

The GCF of the terms of the polynomial 52x^8 + 12x^3 is 4x^3.

Step-by-step explanation:

Anthony read 46 pages of a book in 23 minutes.

To find the unit rate, use
.
Anthony read
pages per minute.

Answers

Answer: Anthony read 2 pages per minute.

Step-by-step explanation:

Answer: 2 pages/ 1 minute or (2 pages per minute)

Step-by-step explanation: To find the unit rate for how many pages of a book Anthony finds in 23 minutes, you’ll have to divide 46 by 23, which gives you a final result of 2 pages/ 1 minute or (2 pages per minute).

CAN SOMEONE HELP ME FAST
Find the distance between the two points in simplest radical form.
(-5, 8) (-3, 1)

Answers

Answer:

6.40312423 hope that helps

Answer:

[tex]\sqrt{53}[/tex]

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 5, 8) and (x₂, y₂ ) = (- 3, 1)

d = [tex]\sqrt{(-3+5)^2+(1-8)^2}[/tex]

   = [tex]\sqrt{2^2+(-7)^2}[/tex]

   = [tex]\sqrt{4+49}[/tex]

    = [tex]\sqrt{53}[/tex]

3. You have saved $140 for a new pair of skis. They have a regular price of $189. They have been reduced by 30%. There is a 13% tax as well. a. What is the discount? b. What is the new price? c. What is the tax? d. What was the total price of the shoes, after the discount and tax? e. Do you have enough money?

Answers

Answer:

$56.70

$132.30

$17.199

$149.499

No

Step-by-step explanation:

Given that:

Regular price of skis = $189

Discount % = 30%

Amount saved = $140

After sales tax = 13%

a. What is the discount?

Discount amount = Regular price * discount %

Discount amount = $189 * 0.30

Discount amount = $56.70

b. What is the new price?

Regular price - Discount amount

$189 - $56.70

= $132.30

c. What is the tax?

Sales tax = new price * tax %

Sales tax = $132.30 * 0.13

Sales tax = $17.199

d. What was the total price of the shoes, after the discount and tax?

New price + sales tax

= $132.30 + $17.199

= $149.499

e. Do you have enough money?

No

$149.499 > $140

Mike is cutting bows out of ribbon which will be used to warp gifts. If mike needs 3 1/2 feet of ribbon to make a bow, and he has 14 feet of ribbon, then how many bows can mike make?

Answers

Answer:

Mike can make 4 bows

Step-by-step explanation:

Given

[tex]1\ bow = 3\frac{1}{2}\ ft[/tex]

[tex]Ribbon = 14\ ft[/tex]

Required

Determine the number of bows he can make

To do this, we simply divide the length of the ribbon by length of 1 bow:

i.e.

[tex]Number = Ribbon/1\ bow[/tex]

[tex]Number = 14\ ft/3\frac{1}{2}\ ft[/tex]

[tex]Number = 14/3\frac{1}{2}[/tex]

[tex]Number = 14/\frac{7}{2}[/tex]

Convert to *

[tex]Number = 14 * \frac{2}{7}[/tex]

[tex]Number = \frac{28}{7}[/tex]

[tex]Number = 4[/tex]

Hence, Mike can make 4 bows

Identify the polynomial divisor, dividend, and quotient represented by the synthetic division.

Divisor:
A. –3
B. 3
C. x – 3
D. x + 3

Dividend:
A. 2x3 + 11x2 + 18x + 9
B. -6x3 - 15x - 9
C. 2x2 + 5x + 3

Quotient:
A. 2x4 + 11x3 + 18x + 9
B. 2x3 + 5x2 + 3x
C. 2x2 + 5x + 3

Answers

Answer:

Divisor:D

Divedend: A

Quotient:C

Step-by-step explanation:

The divisor = (x+3), the dividend = (2x³+11x²+18x+9) and the quotient = (2x²+5x+3)

What is synthetic division?

Synthetic division is a method for manually performing Euclidean division of polynomials.

Given that polynomial divisor, dividend and quotient ;

The correct divisor, dividend and quotient are (x+3), (2x³+11x²+18x+9) and (2x²+5x+3) respectively

Hence, The divisor = (x+3), the dividend = (2x³+11x²+18x+9) and the quotient = (2x²+5x+3)

For more references on Synthetic division, click;

https://brainly.com/question/28824872

#SPJ2

If 10 cm on a map represents 25 km of actual ground, how many centimetres would 45 km of actual ground be on a map?

Answers

Answer:

The answer would be 20cm.

PLEASE HELP ME LIKE IM GOING TO CRY ILL give you brainliest if the answer is correct and 20/40 points..............Ben participated in a race. During the first half of the race, he walked 3 miles and ran at a rate of 5 miles per hour for x hours. During the second half of the race, he walked for 2 miles and ran at a rate of 5.5 miles per hour for x hours. What equation could you write to solve for the number of hours Ben ran during each half of the race? Let y represent the number of miles in half the race. Write two equations, one for the first half of the race and one for the second half. How could you transform these two equations to be the same as the original equation you wrote to solve for x? What do you think this means about solving for the variables in a situation represented by two equations?

Answers

Answer:

Answer are at the bottom!

Step-by-step explanation:

First equation: y=5x

Second equation: y=5.5x

Unit rate:

x/5.5

5.5/5.5

x/1

Hope this helps!

What are the equations of the asymptotes of the hyperbola?


[tex]\frac{(y+4)^{2} }{36}[/tex] - [tex]\frac{(x-6)^{2} }{49}[/tex] =1


Enter your answer in point-slope form by filling in the boxes. Enter the slope as a simplified fraction.

Answers

Answer:

hyperbola?

[tex]\frac{(y+4)^{2} }{36}[/tex] - [tex]\frac{(x-6)^{2} }{49}[/tex] =1

Enter your answer in point-slope form by filling in the boxes. Enter the slope as a simplified fraction.

g(x)=f(x-1)-5

Describe the transformation to f(x) that results in g(x).

1

2

f(x) has been

translated to the left

one and down five.

f(x) has been

translated to the

right one and down

five.

f(x) has been

translated to the

right one and up five.

f(x) has been

translated to the left

one and up five.

Answers

Answer:

f(x) has been  translated to the  right one and down  five.

Step-by-step explanation:

Given

[tex]g(x)=f(x-1)-5[/tex]

Required

Determine the transformation

Taking the analysis one at a time

The relationship between f(x) and f(x - h) is that f(x) is translated h units to the right

So, when f(x) becomes f(x-1), it is as a result of f(x) being translated 1 unit to the right

The relationship between f(x) and f(x) - h is that f(x) is translated h units downwards

So, when f(x - 1) becomes f(x - 1) - 5, it is as a result of f(x - 1) being translated 5 units downwards.

Hence, option 2 answers the question

Mother has purchased 75 yards of green fabric and 125 yards of white fabric to make green and white curtains. What is the largest number of curtains she can make if she wants all the curtains to be exactly the same length, and to have no fabric left over? How many yards of each kind of fabric would be used for each curtain?

Answers

Answer:

I don't fing know.

Step-by-step explanation:

Answer:

It would be 125 divided by 75.

Which represents the solution up above ^^^^^^^^^^

Answers

Answer:

-2x <= x < 3

Step-by-step explanation:

Subtract 4 from all sections to isolate the x and then divide everything by 3 to make there be only 1 x

LAST ONE I NEED HELP ON PLEASE

Answers

Answer:

A

Step-by-step explanation:

First you find the volume of the cube which is 512. Then you find the volume of the cone which is 133.97333333 and so on. Lastly you subtract 512 by 133.973333333 (and so on) which is 378.026667. Rounded the answer would be 378.0 which is answer A.

Plz mark brainliest!!! I spent lot of time on this.

cual es la respuesta de 1000+25

Answers

Answer:

1025

Step-by-step explanation:

 1 0 0 0

+      2 5

---------------

 1  0 2 5

----------------

HOPE THIS HELPS

PLZ MARK AS BRAINLIEST!!!!!!

Plsss need help jahahahahababahhaha

Answers

Answer:

ummm try to solve it

Step-by-step explanation:

Choose the value of x for f(x)= x^2-3x when f(x) = 10.

Answers

Answer:

f(10)=70

Step-by-step explanation:

[tex]f(x)=x^{2} -3x\\f(10)=10^{2} -3(10)\\f(10)=100-30=70[/tex]

Use the equation p= 8.31/v where p = pressure and V = volume.

What happens to the pressure as the volume approaches 0? Explain your reasoning.

Answers

Answer: pressure increases

Step-by-step explanation:

because Boyle's law states that pressure and volume have an inverse relationship, if we decrease volume the pressure will increase.

Another explanation: since volume approaches 0, we're dividing by a smaller number, and doing this gives us a larger value for pressure

Answer:

The pressure approaches infinity.

The function is undefined for V = 0.

There is an asymptote at V = 0.

Step-by-step explanation:

Exact answers for edge

In​ 2009, a poll found that ​47% of people favored the protection of the environment at the risk of limiting energy​ supplies, while 47​% favored the development of energy supplies even if that risked harming the environment. Another 4​% felt that energy and the environment were equally important. what's the probability a person had​ "No Opinion"? NEED HELP ASAP!

Answers

Answer:

It will be 84

Step-by-step explanation:

The graph shows the number of each kind of book in Hero's personal library. A book is
chosen randomly.
What is the probability that the book is a romance book?

Answers

Answer:

[tex]\displaystyle p=\frac{1}{15}[/tex]

Step-by-step explanation:

Probability

The simple probability of a random event can be calculated as the ratio between the possible favorable cases and the total possible cases.

The pie chart shows the number of books in Hero's library grouped by category.

The total number of books is 14 + 10 + 4 + 2 = 30

The number of romance books is 2

Thus, the probability of randomly choosing a romance book out of the total books is:

[tex]\displaystyle p=\frac{2}{30}[/tex]

Simplifying:

[tex]\mathbf{\displaystyle p=\frac{1}{15}}[/tex]

This corresponds to the first option

Answer:

1/15

or

[tex]\frac{1}{15}[/tex]

explanation:

A population of values has a normal distribution with μ = 245.3 and σ = 96 . You intend to draw a random sample of size n = 50 . Find the probability that a single randomly selected value is greater than 246.7. P(X > 246.7) = 0.0146 Incorrect Find the probability that a sample of size n = 50 is randomly selected with a mean greater than 246.7. P(M > 246.7) = Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

Answers

Answer:

0.4589

Step-by-step explanation:

We solve using z score formula

The z score formula for a random number of samples is:

z = (x-μ)/σ/√n, where x is the raw score, μ is the population mean, and σ is the population standard deviation

Hence:

z = 246.7 - 245.3/96/√50

z = 0.10312

Probability value from Z-Table:

P(x<246.7) = 0.54107

P(x>246.7) = 1 - P(x<246.7) = 0.45893

Approximately to 4 decimal places = 0.4589

The probability that a single randomly selected value is greater than 246.7 is 0.4589

A movie theatre marks up the price of popcorn 12 3/4 times the original cost. express 12 3/4 as a percent and decimal.

Answers

Answer:

Answer: F. 1,275% and 12.75.

Step-by-step explanation:

Ratios

Ratios are usually expressed as decimals, fractions, colon notation, and percentages.

For example, if the ratio of two quantities is 2, it can be expressed as:

2, 2/1, 2:1, 200%

To obtain the percentage expression, just multiply by 100%.

The price of the popcorn sold at a movie theatre was marked up as 12 3/4 times the original cost.

The mixed fraction can be converted to a decimal by just adding their parts as follows:

12 + 3/4 = 12.75

Now to express it as a percentage, multiply by 100%:

12.75 * 100% = 1,275%

Answer: F. 1,275% and 12.75.

WHAT IS THE SLOPE? !! WILL GIVE BRAINLIEST

Answers

Answer:

To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points

Answer:

Step-by-step explanation:

2/3 is your slope.

Solve the division problem below.




The quotient is

Answers

Answer:

25/8

Step-by-step explanation:

Answer:

It's -6

Step-by-step explanation:

i got it right lol

Add a researcher compared the Heights and shoe sizes for 50 men, selected at random. The equation shown describes a line of best fit for the data, where X is the shoe size and why is the height, in inches (y=1.6x + 58)

Answers

Complete question :

a researcher compared the Heights and shoe sizes for 50 men, selected at random. The equation shown describes a line of best fit for the data, where X is the shoe size and y is the height, in inches (y=1.6x + 58)

Based on the equation, what is the approximate shoe size for a man having a height of 60 inches

Answer:

1.25

Step-by-step explanation:

Given the regression equation :

y=1.6x + 58

X = shoe size ; y = height

Using the equation, the approximate shoe size of a man with a height of 60 will be ;

60 = 1.6x + 58

60 - 58 = 1.6x

2 = 1.6x

2/1.6 = 1.6x / 1.6

x = 2 / 1.6

x = 1.25

Hence, approximate shoe size of a man with a height of 60 will be 1.25

pls help me whats 45x57

Answers

Answer:

2565

Step-by-step explanation:

:)

Answer:

2565

Step-by-step explanation:

Plzzz help I will mark brainliestttt

Answers

Answer:

Not a function

Step-by-step explanation:

For every input there is one and only one output. So on this graph, it shows that there are two dots on a single vertical line, which means that there are two outputs. Because the definition of a function is "for every input there is one and only one output" we know that it is not a function.

help pls thank you!!

Answers

10/2.5= 4
2/3*4= 8/3

2 2/3 is your answer (C)

Answer:

C 2+2/3

Step-by-step explanation:

10/2.5= 4

2/3*4= 2+2/3

1 Which expression is equivalent to (7x – 5) – (3x - 2)?​

Answers

Answer:

The answer is D.

Step-by-step explanation:

Given: ABC is a right triangle with right angle C. AB= 14 centimeters and mA = 33°
What is AC?
Enter your answer, rounded to the nearest tenth, in the box

Answers

Answer:

AC ≈ 7.6 cm

Step-by-step explanation:

I've attached a drawing of this problem below as a visual aid.

We know that this is a right triangle (one of the angles is 90°), one of the other angles (mA) is 33°, and the hypotenuse (AB) is 14 cm. We need to calculate the length of one of the other sides. We can use sine, cosine, or tangent.

Remember SOHCAHTOA?

→ soh (Sine = Opposite / Hypotenuse)

→ cah (Cosine = Adjacent / Hypotenuse)

→ toa (Tangent = Opposite / Adjacent)

The side we want to calculate happens to be adjacent to the angle mA (33°). So, we use cosine. We put in the values we know and solve for x, the missing side:

→ sin(33°) = [tex]\frac{x}{14}[/tex]

→ x = sin(33°) × 14

→ x ≈ 7.6

The length of AC is 7.6 centimeters.

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