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

Use the information on the right to determine which students will have positive z-scores. Aaliyah, who completed the exam in 55 minutes Benjamin, who completed the exam in 86 minutes Cynthia, who completed the exam in 72 minutes

Answers

Answer:

B and C, Benjamin and Cynthia.

Step-by-step explanation:

Next part (Cynthia's score) is 0.2

Answer:

Here's all the answers to the assignment! This is here to help future people in order to get a good grade on e2020! :)

Use the information on the right to determine which students will have positive z-scores.

Answer(s):

B) Benjamin, who completed the exam in 86 minutes

C) Cynthia, who completed the exam in 72 minutes

Cynthia’s z-score is

Answer) 0.2

A newborn who weighs 2,500 g or less has a low birth weight. Use the information on the right to find the z-score of a 2,500 g baby.

Answer) -2

What is the z-score of a newborn who weighs 4,000 g?

Answer) 1

What weight would give a newborn a z-score of −0.75?

Answer) 3125

In the United States, birth weights of newborn babies are approximately normally distributed with a mean of ? = 3,500 g and a standard deviation of ? = 500 g.

According to the empirical rule, 68% of all newborn babies in the United States weigh between

Answer(s) 3000 g and 4000 g

95% of all newborn babies in the United States weigh between

Answer(s) 2500 g and 4500 g.

99.7% of all newborn babies in the United States weigh between

Answer(s) 2000 g and 5000 g.

According to the empirical rule, 68% of 7-year-old children are between  

Answer(s) 47  inches and  51  inches tall.

95% of 7-year-old children are between  

Answer(s) 45  inches and  53  inches tall.

99.7% of 7-year-old children are between  

Answer(s) 43 inches and 55  inches tall.

Use the information given in the table on the right to complete each of the following statements.

Brenda is 50 inches tall. Her z-score is

Answer)  0.5

Zach has a z-score of –1.5. His height is  

Answer) 46  inches.  

Approximately 16 % of 7-year-old children are taller than 51 inches.

In the United States, birth weights of newborn babies are approximately normally distributed with a mean of  μ = 3,500 g and a standard deviation of  σ = 500 g.

What percent of babies born in the United States are classified as having a low birth weight (< 2,500 g)? Explain how you got your answer.

(Answers)

The z-score for 2,500 g is –2.

According to the empirical rule, 95% of babies have a birth weight of between 2,500 g and 4,500 g.

5% of babies have a birth weight of less than 2,500 g or greater than 4,500 g.

Normal distributions are symmetric, so 2.5% of babies weigh less than 2,500g.

What is the answer 55 : 60 = ___ : 12

Answers

Answer:

11:12

Step-by-step explanation:

I hoped that i helped u out :)

Answer:

11 is my best guess

Step-by-step explanation:

HELP!! ASAP!! Will mark Brainliest to first correct answer !!

Answers

Answer:

A. -13 + i

Step-by-step explanation:

(5 - 9i) + (-4 + 7i) = 1 - 2i(1 - 2i) - (14 - 3i) = -13 + i

I hope this helps!

The answer is A.
I know I am right

-66/22 to a decimal PLEASE I NEED THE ANSWER!!! I'LL MARK BRAINLIEST ​

Answers

Answer: -3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

To turn a fraction into a decimal, all we need to do is divide the numerator by the denominator. But first, we can simplify! -66/22 simplifies to -3/1 when you divide by 22 on the top and bottom. Now, it's a lot easier to divide. -3/1=-3. -3 is technically already a decimal...you just can't see the decimal point. The decimal point is actually behind -3, so it looks like this: -3.0

Have a great day! Hope this helps!!! ^^

Use square roots to solve the equation x^2 = −25 over the complex numbers. Enter your answers in numerical order.

Answers

Answer:

Step-by-step explanation:

x^2= -25

x=5i and -5i

Answer:

The answer is 5

Step-by-step explanation:

x^2= -25

x=√-25

x=5

At a certain bookstore, you get a $5 coupon for every 4 books you buy. What is the least number of books you could buy to get $15 in coupons? Show your work.

Answers

Answer:

You need to buy 12 books to get a $15 coupon.

Step-by-step explanation:

Giving the following information:

You get a $5 coupon for every 4 books you buy.

First, we need to structure the total coupon formula:

Total coupon= 5*x

x= pack of four books

Now, for $15

15 = 5x

15/5= x

3= x

4*3= 12

You need to buy 12 books to get a $15 coupon.

Suppose you are interested in testing whether the mean earning of men in California differs significantly from the mean earning of men in New York. If the number of men from California in the sample is 123 and the number of men from New York in the sample is 88, how many degrees of freedom are there?

Answers

Answer:

(123+88)-2= 209

Step-by-step explanation:

Which of these angles listed is vertical to Which of these angles listed is a linear pair to

Answers

Angle XZY *may be written as YZX* is vertical to angle VZU
UZY *may be written as YZY* is a linear pair to angle VZU

Cameron is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. Let C represent the total cost of the gym membership over t months. A graph of C is shown below. Write an equation for C then state the y-intercept of the graph and determine its interpretation in the context of the problem. C=? The y-intercept of the function is _____ which represents?

Answers

Answer:

C= 100+25t

Step-by-step explanation:

The y-intercept of the function is 100 which represents the one-time joining fee.

that is the correct answer, hope it helped!

The y-intercept of the function is 100 which represents a one-time fee to join.

Given that,
Cameron is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. Let C represent the total cost of the gym membership over t months.
The graph of the function C = 100 +25m is given,

What is the equation?

the equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

Here,
C= 100+25t
Where C represents the total charge,
t represents the number of months as of 25 per month,
And 100 represents the one-time chargeable fee to join.

Thus, the y-intercept of the function is 100 which represents a one-time fee to join.

Learn more about equations here:

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Chad washes windows after school to make some extra money. He charges $5.50 to wash each window. If the customer provides the supplies, Chad deducts $3.25 from the total cost. One customer paid a total of $27.50 and did not provide supplies. Which equation could be used to find the number of windows, w, that Chad washed for this customer?

Answers

*5.5w - 3.25 = 35.25

The 5.5w part shows that its $5.50 times each window. The -3.25 is because he deducted 3.25 from the total. And then you have the price that he got on the other side. 

Here's the work to find the windows in case you want it:

5.5w-3.25=35.25

5.5w=38.50

w=7

He washed 7 windows

Answer:

5.5 w - 3.25 = 27.5

Step-by-step explanation:

A 40-degree angle is translated 5 inches along a vector. What is the angle measurement, in degrees, of the Image?

Answers

Answer:

40°

Step-by-step explanation:

As clarified in an online document, a translation along a vector (which is a line in a plane) of a figure, is equivalent to a translation along a coordinate grid, and therefore, given that a translation is a form of rigid transformation, the the dimensions and inclinations of the rays forming the preimage are the same as those in the image and the angles measurement in the preimage and the image are equal.

Therefore, given that the angle measurement of the image is 40-degrees, the angle measurement of the image is also 40-degree (40°) angle.

Which equation is graphed below? On a coordinate plane, a hyperbola has a curve in quadrant 2 and a curve in quadrant 4. The curve in quadrant 2 enters the grid line at (negative 3, 1) and (negative 0.5, 6). The curve in quadrant 4 enters the plane at (0. 5, negative 6) and (3, negative 1). y = –StartFraction 3 Over x EndFraction y = StartFraction 2 over x EndFraction y = –2square root of x y = 3square root of x

Answers

Answer:

I think the answer is D.

Step-by-step explanation:

thats what i think at least

Answer:

D. y = 3square root of x

Step-by-step explanation:

20
16
12
Cost (dollars)
8
4
0
4 8 12 16 20
Amount of Tea (ounces)
Which equation models this relationship?
Oy=
Oy = 40

#thisisacryforhelp!!!

Answers

Answer:

y=4x

Step-by-step explanation:

you just have to find the slope!

In isosceles ABC, AB=AC. if B=55,calculate A​

Answers

Answer:

Two base angles of an isosceles triangles are equal.

55 + 55 + a = 180  

110 + a = 180

a = 180-110

a = 70

A town has a population of 17,000 and grows at 3% every year. what will be the population after seven years, to the nearest whole number

Answers

Answer:

20570

Step-by-step explanation:

3% of 17,000 is 510 so 17,000+7(510)=20570

Answer:

3570

Step-by-step explanation:

Find the measure of each numbered angle.

angle 1 is
angle 2 is
angle 3 is

Answers

Answer: 360

253

Step-by-step explanation:

Need ASAP
....................

Answers

Answer:10/15

Step-by-step explanation:10 divided by 5=2

15 divided by 5=3 in words 10/15 is simplified to 2/3

Henry can type 3500 words in 70 minutes. Colin can type 1500 in 30 minutes. Brian can type 2200 words in 40 minutes. Who types at the fastest rate of words per minute?

Answers

Given:

Henry can type 3500 words in 70 minutes.

Colin can type 1500 in 30 minutes.

Brian can type 2200 words in 40 minutes.

To find:

The person who types at the fastest rate of words per minute.

Solution:

We know that,

[tex]\text{Rate of words per minute}=\dfrac{\text{Number of words}}{\text{Number of minutes}}[/tex]

Using this formula, we get

[tex]\text{Henry's rate of words per minute}=\dfrac{3500}{70}=50[/tex]

[tex]\text{Colin's rate of words per minute}=\dfrac{1500}{30}=50[/tex]

[tex]\text{Brian's rate of words per minute}=\dfrac{2200}{40}=55[/tex]

Since 55>50, therefore Brian's types at the fastest rate of words per minute.

molly bought a lunch special that was originally $14 today it is on sale for 20% off what is the sale price of the lunch special

Answers

$14*.20= $2.80

The sale price is $2.80
14 * .20 = 2.80
14 - 2.80 = 11.20
The sale price is $11.20

hurry please!!
You drive a delivery truck. This week, your daily mileage totals were 215, 183, 258, 192, and 75 miles. The standard deviation for the data is 60.6, and the range is 183.

Which measure of center is most appropriate, and what is the value of the measure of center?

mean; 140

mean; 145

median; 192

mean; 258

median; 258​

Answers

Answer:

Median is 192! because medians are the numbers right in the middle after the numbers are out in numerical order

Which expression represents the factored form of 6x2-13-5 ?

Answers

Answer:

For the quadratic trinomial  the following formula

, where  are trinomial roots, holds.

1. For trinomial  find the roots

2. The factoring form is

Answer: correct option is B.

Step-by-step explanation:

Answer:

(2x - 5)(3x + 1)

Step-by-step explanation:

Do you mean 6x^2 - 13x - 5?

6x^2 factors into 6x, x or 3x, 2x

-5 factors into -1, 5 or -5, 1

Use combinations of the factors until you get the correct trinomial.

6x^2 - 13x - 5 = (2x - 5)(3x + 1)

explain how you would find the sign of the quotient 32÷(-2)
/
-16÷4​

Answers

Answer:

PLEASE ANSWER MY QUESTION! In how many ways 3 different numbers can be chosen from 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 such that the sum of 3 numbers can be divisible by 3. Here (a, b, c); (b, c, a)...... are considered to be the same.

Step-by-step explanation:

PLEASE ANSWER MY QUESTION! In how many ways 3 different numbers can be chosen from 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 such that the sum of 3 numbers can be divisible by 3. Here (a, b, c); (b, c, a)...... are considered to be the same.

What survival rate in the 10th year would make the average rate of loss over the 10-year period equal to 38.0%?

Answers

Answer: 63%

Step-by-step explanation:

First find the rate of loss that would cause the average rate of loss over the 10-year period equal to 38.0%.

Assume that rate is x.

38 = (36.2 + 29.0 + 46.2 + 37.5 + 40.9 + 40.0 + 32.6 + 40.5 + 40.1 + x) / 10

38 = (343 + x ) / 10

380 = 343 + x

x = 380 - 343

x = 37%

The survival rate is the opposite of the rate of loss which means that the survival rate is;

= 1 - rate of loss

= 1 - 37%

= 63%

9. What is the domain of the relation {(−2, 4), (1, 3), (0, −4), (3, 2)}?

Answers

Answer:

{-2, 0, 1, 3}.

Step-by-step explanation:

First of all domain is the x- coordinates. The domain of the relation is

{-2, 0, 1, 3}.

Hope this helped! If so, plz mark brainliest.

The domain of the given relation i.e. {(−2, 4), (1, 3), (0, −4), (3, 2)} should be considered as the (2,1,0,3).

What is the domain in relation?

It is the set of all x values and the range represent the set of all y values with respect to the set of ordered pairs. It should be written as the (x,y) at the time when the set of ordered pairs, so first we have to find the domain for x values from the relation.

hence, The domain of the given relation i.e. {(−2, 4), (1, 3), (0, −4), (3, 2)} should be considered as the (2,1,0,3).

Learn more about domain here; https://brainly.com/question/24455077

Mr. G drove a total of 252 miles and used 12 gallons of gas last weekend. What is the unit rate of miles to 1 gallon?

Answers

Answer:

21 miles per gallon

Step-by-step explanation:

252 miles to 12 gallons

= 252/12

= 21

The unit rate of miles to 1 gallon is 21 miles to 1 gallon.

What is the first step in simplifying the expression 11x - 2 - 3(1 -7x)^2

Answers

Answer:

multiply 3 by the one and -7x

can you put this as the brain list because i need one more to level up

Step-by-step explanation:

Answer: Apply the exponent

Step-by-step explanation: Remember the acronym PEMDAS. Since you can't simplify the parentheses, move on to applying the exponent 2 to (1 - 7x)

What equation in slope-intercept form represents the line that passes through the points (1, -6), (-3, 10).

Answers

Slope equation (y2-y1)/(x2-x1)
(10+6)/(-3-1) = 15/ -4 = -3.75
y = -3.75x + b
Plug in any point
-6 = -3.75 + b
b = -2.25
The equation is y= -3.75x - 2.25
I believe, correct me if I’m wrong

Answer:

y = −4x − 2

Step-by-step explanation:

Hope This Helps!

Plz Mark Brainliest!

Have a Happy Thanksgiving!

Is 0.752 a rational number?

Answers

No, Bec it can not be divided by itself? Anyway no also Bec it’s a decimal

Step-by-step explanation:

yes indeed it is rational

What is the geometric mean of 3 and 6

Answers

Answer:

The mean is 4.5

Step-by-step explanation:

u add the numbers and divide by how many numbers there are

Geometric Mean= 4.2426406871193

Solve for m. -5m=-35 m=

Answers

Answer:

m = 0

Step-by-step explanation:

Solve: Add -35m to -5m

-5m = -35m

+35m

30m = 0 *note: its okay to have 0 in this spot*

divide 0/30

m=0 because you can't divide by 0

The value of m is 7 for the given statement -5m = -35.

What are mathematical operations?

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Given an expression

-5m = -35

Divide by -5 on both sides

m = 7

Therefore, For the given expression -5m = -35 the value of m is 7.

Learn more about Mathematical operations here:

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