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

Vanessa bought a 30 pound bag of rice she cooked 7.5 pounds of the rice she stores the rest of the rice in 4.5 pound portions what is the maximum number of portions she stored

Answers

Given :

Vanessa bought a 30 pound bag of rice she cooked 7.5 pounds of the rice she stores the rest of the rice in 4.5 pound portions.

To Find :

The maximum number of portions she stored.

Solution :

Let, number of portions she stored is n.

Amount of rice left, A = 30 - 7.5 = 22.5 pounds.

Now, number of portions of 4.5 pounds she stored :

[tex]n = \dfrac{22.5}{4.5}\\\\n = 5[/tex]

Therefore, maximum number of portions she stored is 5.

Hence, this is the required solution.

solve 5x + 20=75
What is x

Answers

Answer:

x = 11

Step-by-step explanation:

this answer can be solved by simple operations

5x + 20 = 75

5x = 55 (subtracted the 20 from 75)

x = 11 (divided the 5 by 55)

hope this helps !!

- emily

2.5(a + 4) + 0.5a = 12.4

Answers

Answer:

a=0.8

Step-by-step explanation:

First I distributed 2.5 into (a+4) and got (2.5a+10)+0.5a=12.4. I then combined like terms which are 2.5a and 0.5a and got 3a+10=12.4. I subtracted 10 from both sides to get rid of it and got 3a=2.4. Later, I divided 3 from both sides to get a which comes out to be 0.8.

Hope this helps you :)

1. 165.45 ÷ 1000 =
2. 762.78 ÷ 100 =
3. 76.94 ÷ 10 =
4. 14352.89 ÷ 1000=
5. 12.30 ÷ 10 =

Answers

1. 0.1654
2. 7.6278
3. 7.694
4. 14.35289
5. 1.230

Answer:

1. 0.16545

2. 7.6278

3. 7.694

4. 14.35289

5. 1.23

Step-by-step explanation:

Just divide.

loren wants to buy a golf club that is $98 today it is on sale for 25% off how much is the discount and what is the sale price

Answers

98 x .25 = discount so 24.5
then 98 - 24.5 = 73.5 for sale

The discount is $24.5 and Sale Price is $122.5.

What is Percentage?

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

loren wants to buy a golf club that is $98.

Sale= 25% off

So, the discount is

= 98 x 25/100

= 98 x 1/4

= $ 24.5

and, the Sale Price is

= 98 + 24.5

= $122.5.

Learn more about Percentage here:

https://brainly.com/question/29306119

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help with math hw please

Answers

Answer:

x = 4

Step-by-step explanation:

All of the sides are the same so every angle is 17x-8.

Every triangle adds up to 180 degrees.

3(17x-8)=180

51x-24=180

    +24  +24

51x=204

 x= 4

find the length of side BD round your answer to the nearest hundred

Answers

Answer:

The length of side BD is 4.62 units to the nearest hundredth

Step-by-step explanation:

In Δ ABC

∵ m∠ABC = 90°

∵ BD ⊥ AC

AB × BC = BD × AC

∵ AB = 12 units

∵ BC = 5 units

∵ AC = 13 units

→ Substitute them in the equation above

12 × 5 = BD × 13

∴ 60 = 13 BD

→ Divide both sides by 13 to find BD

∴ 4.615384615 = BD

→ Round it to the nearest hundredth

BD = 4.62 units

The length of side BD is 4.62 units to the nearest hundredth

What is the result of adding these two equations?
4x-4y=-2
-9x-4y=-3

Answers

(4x-4y) + (-9x-4y) = -2 + -3
gather like terms :
4x-9x-4y-4y = -5
-5x-8y = -5

4. What is the slope of a line that is parallel to the line described by 3x + 2y = 8?
a.
m = 3
b.
m= 3/2
c.
m= -3/2
d.
m= 2

Answers

The answer is :

B. M=3/2

What do static electricity and current electricity have in common.

Answers

Answer: Static electricity is uncontrolled electrons passing from one body to another in sudden, momentary movements, while current electricity is when the electrons are controlled by moving along a path together.

HAVE A BLESSED DAY!!!!

will give BRAINLIEST

Find the area of each circle
. Round to the nearest tenth.

Answers

Answer:

13:  312yd squared

14: 907.5 rounded up but not rounded is 907.46

Step-by-step explanation:

this is because the formula is pi*r^2  so you'd

Step by step:

1. 20yd/2= 10 to get the radius for 13

2. substitute r in the formula pi*r^2 for 10 making it pi*10^2

3. multiply 10 by itself, 10*10=100

4. multiply pi by 100, 3.14*100= 314

314yd^2 is the answer for 13

14:

1. 34ft/2=17 to get the radius for 14

2. substitute r on the formula pi*r^2 for 17 making it pi*17^2

3. multiply 17 by itself, 17*17=289

4. multiply pi by 289, 3.14*289=907.46

5. round 907.46 to the nearest tenth, 907.5

907.5ft^2 is your answer

hope this helps :)

Given f(x) = 9(2 - x), what is the value of f(-3)?

Answers

Answer:
f(-3)=45

Explanation:
To find f(-3), we plug in -3 as x.

f(x)=9(2-x)
f(-3)=9(2-(-3))
f(-3)=9(2+3)
f(-3)=9(5)
f(-3)=45

I hope this helps!

Answer:

Step-by-step explanation: find the exact value by using trigomectric identities

Mr Johnson has 4 boxes of pencils with 7 pencils
in each box. If he gives each of his 26 students a
pencil, how many pencils will he have left?

Answers

Answer:

2 pencils leftover

Step-by-step explanation:

Given:

4 boxes with 7 pencils each

Number of students:

26

Total Pencils

4*7 = 28

He has 28 pencils in total.

Unknown:

Number of extra pencils

Unknown = total pencils - total students

= 28 - 26 = 2

Answer  = 2 pencils leftover

Hope this helped,

Kavitha Banarjee

Solve 1/2x−5=10−3/4x . Check your solution.

x=___

Answers

Answer

The answer is 12 for sure

Step-by-step explanation:

i just solved it like any other equation

1 i added 3/4 on both sides

2 then i added 5 on both sides

3 after you equation should look like 1 1/4x = 15

4 then i divided and it should be x = 12

pls mark brainliest

The value of x is "12".

Calculating the value of x:

[tex]\to \frac{1}{2}x-5=10-\frac{3}{4}x \\\\\to \frac{1}{2}x+ \frac{3}{4}x=10+5 \\\\\to \frac{2+3}{4}x=15 \\\\\to \frac{5}{4}x=15 \\\\\to x=15 \times \frac{4}{5}\\\\\to x=3 \times 4\\\\\to x=12[/tex]

Therefore, the final value of x is "12".

Find more information about the x value here:

brainly.com/question/19793439

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

what's the slope intercept form​

Answers

y=-1/4x+3 should be the correct answer

Tara has already run 7 miles on her own, and she expects to run 1 mile during each track
practice. How many track practices would it take for Tara to run 23 miles?
Explain please

Answers

Answer:

15 track practices

Step-by-step explanation:

because 23 minus the 7 she already ran is 15 which she runs 1 each practice

Answer:

16

Step-by-step explanation:

because if you minus 7 from 23 you get 16 so she would have to have 16 practices

Confused on the steps and I need help

Answers

9514 1404 393

Answer:

  3) y = -1

  5) x = -14

Step-by-step explanation:

The first step is to recognize that the equation describes a vertical line in problem 3 and a horizontal line in problem 5. The perpendicular to a vertical line is a horizontal line, and vice versa.

__

3. To make the desired horizontal line go through the point (-8, -1) the y-value of the line must match that of the point:

  y = -1

__

5. To make the desired vertical line go through the point (-14, 81), the x-value of the line must match that of the point:

  x = -14

Estimate the difference.
6.11 - 1.2

Answers

Answer:

5.9

Step-by-step explanation:

Answer:

it is 5.9

Step-by-step explanation:

A and B are postive integers such that 1/a + 1/b +1/ab = 1. Find ab

Answers

Answer: ab =6

have:

[tex]\frac{1}{a}+\frac{1}{b}+\frac{1}{ab}=1\\\\=>\frac{b}{ab}+\frac{a}{ab}+\frac{1}{ab}=1\\\\<=>\frac{a+b+1}{ab}=1[/tex]

=> a + b + 1 = ab

⇔ a + b + 1 - ab = 0

⇔ b - 1 - a(b - 1) + 2 = 0

⇔ (b - 1)(1 - a) = -2

because a and b are postive integers => (b - 1) and (1 - a) also are integers

=> (b - 1) ∈ {-1; 1; 2; -2;}

(1 -a) ∈  {-1; 1; 2; -2;}

because (b -1).(1-a) = -2 => we have the table:

b - 1        -1             1              2             -2

1 - a         2            -2            -1              1

a              -1            3             2              0

b              0            2             3              -1

a.b            0           6             6               0

because a and b  are postive integers

=> (a;b) = (3;2) or (a;b) = (2;3)

=> ab = 6

Step-by-step explanation:

When translating the point (5,0) 6 units up and 4 units to the right, we should get:

Answers

Answer:

(9,6)

Step-by-step explanation:

"Up" indicates y-axis. "Right" is horizontal motion, so x-axis. We add positive 6 to the y-value and positive 4 (since it's going to the right) to the x-value.

Hope this helps!

a number b divided by -3 is greater than or equal to 6

Answers

b ≤ −18 or (−∞, −18)

PLEASEEEEEE HELPPPPP ASAPPPP

Answers

The correct answer is f(x)= 25z + 400

At a dairy farm the ratio of adult milking cows to young calves was 9:2. If there were 234 adult milking cows at the farm, how many young calves were there?

Answers

Answer:

52 young calves

Step-by-step explanation:

At a dairy farm the ratio of adult milking cows to young calves was 9:2. If there were 234 adult milking cows at the farm, how many young calves were there?

The ration is given as:

adult milking cows to young calves

= 9 : 2

= 234 : x

= 9/2 = 234/x

x = Number of young calves

Cross Multiply

9 × x = 2 × 234

= x = 2 × 234/9

x = 468/9

x = 52

Hence, the number of young calves on the farm is 52.

Please help thank you

Answers

Answer:

Step-by-step explanation:

A: quotient  

B: dividend

C: divider

Please answer correctly !!!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Answers

Answer:

106°

Step-by-step explanation:

they are parallel to each other

Answer: 106

Step-by-step explanation:

Which values represent solutions to the equation?
Tan(3Pi/4-2x)=-1, where x = [0,pi]

Answers

0 is the a answer definately

The value of the variable x will be {0, pi/2, pi}. Then the correct option is B.

What is trigonometry?

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The trigonometric equation is given below.

tan (3π/4 - 2x) = - 1

We know that the value of tan 3π / 3 is negative one. Then the equation will be

tan (3π/4 - 2x) = tan 3π/4

Apply inverse of tangent on both sides, then the equation will be

(3π/4 - 2x) = 3π/4, -π / 4

         - 2x = 0, -π

           2x = 0, π

             x = 0, π/2

Then the value of the variable x will be {0, pi/2, pi}.

Then the correct option is B.

The question was incomplete, but the complete question is given below.

Which values represent solutions to the equation? tan(3pi/4 - 2x) = -1, where x ∈ [0,pi]

A) {0, pi}

B) {0, pi/2, pi}

C) {0, pi, 2pi}

D) {0, pi/2, pi ⋅ 3pi/2}

More about the trigonometry link is given below.

https://brainly.com/question/22698523

#SPJ2

Which equation would you use to find the value of x?

Answers

Answer:

The answer is C. (4x+12)+8x=180

Answer:

C

Step-by-step explanation:

alt. interior angles are congruent, so don't worry about y

also, because of alt. int. angles, we know that (4x+12)+8x=180

we can solve it by grouping like terms to get x=14

Which statements are true about the solution of 15 > 22+ x? Select three options.
OX-7
XS-7
The graph has a closed circle.
U -6 is part of the solution.
O-7 is part of the solution.

Answers

Answer:

[tex]x \leqslant - 7 \\ the \: graph \: has \: a \: closed \: circle \\ - 7 \: is \: a \: part \: of \: the \: solution[/tex]

Will give BRAINLIEST The two points and (–3, –2) and (4, 8) are part of a line with a slope of:

Answers

Answer:

slope of 10/1 or simplified to 10

Step-by-step explanation:

Answer:

slope is 10/7

Step-by-step explanation:

use the formula or plot the points on a graph to get the slope is 10/7

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