The three-digit number "ab5" is divisible by 3. How many different three-digit numbers can "ab5" represent?

Answers

Answer 1

Answer:

30

Step-by-step explanation:

I can't prove this, but I can tell you the answer.

30.

a = 100 s  digit

b = 10 s digit

5 is always the units digit.

I'm pretty sure that 30 is the correct answer.

What an interesting question. If I find out how it is done, I'll post it in the comments.

I can say this much.

a + b + 5 must be divisible by 3.

a = 1     b = 9     + 5

a = 1     b = 6     + 5

a = 1     b = 3     + 5

a = 1     b = 0 +  5

===============

Three more are obtained by interchanging the 100s and 10s digit except for b = 0

a = 9     b=1    + 5

a = 6     b =1   + 5

a = 3     b= 1   + 5

==================

a = 2    b = 2 + 5

a = 2    b = 5  + 5

a = 2    b = 8  + 5

only 2 more are obtained by interchanging the 10s and 100s digit

=============

a = 3   b = 4    +5

a = 3   b = 7    +5

You can't go any further. You get 2 more by interchanging the b and a digits.

=============

I hope you see what I've done here. I don't think this is an exact proof, but it is an exhaustive search.


Related Questions

The perimeter of a rectangle 220 cm and its breadth and length are in
the ratio 4:7.What is the breadth and length?

Answers

Answer:

80 is the breadth and 140 is the length

Step-by-step explanation:

Elena and Jada are 24.5 miles apart on a path when they start moving toward each other. Elena bikes at a constant speed of 8 miles per hour, and Jada runs at a constant speed of 6 miles per hour. How long does it take until Elena and Jada meet? Explain your reasoning.

Answers

Answer:

when they reach each other Elana would have gone 16 miles for 2 minutes And jada would  for a minite to reach elana

Step-by-step explanation:

SOMEONE PLS HELP!!!
Write a function g whose graph represents a reflection in the y-axis of the graph of f(x)=−3+|x−11|.

Answers

Transformations are used to change the position of a function from one point to another. When f(x) is reflected over the y-axis, the new function g is [tex]g(x) = x + 8[/tex]

Given that:

[tex]f(x) = -3+|x - 11|[/tex]

To reflect across the y-axis, we use the following transformation rule:

[tex](x,y) \to (-x,y)[/tex]

So, the new function is:

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

If [tex]f(x) = -3+|x - 11|[/tex], then:

[tex]f(-x) = -3+|-x - 11|[/tex]

Factor out -1

[tex]f(-x) = -3+|-1(x + 11)|[/tex]

Remove absolute sign

[tex]f(-x) = -3+1 \times (x + 11)[/tex]

[tex]f(-x) = -3+x + 11[/tex]

Collect like terms

[tex]f(-x) = x + 11-3[/tex]

[tex]f(-x) = x + 8[/tex]

Hence, the new function is:

[tex]g(x) = x + 8[/tex]

Read more about transformations at:

https://brainly.com/question/12865301

Solve 2/3y+1=1/6y+8 . Check your solution.



y= __

Answers

Answer:

2/3y + 1 = 1/6y + 8

2/3y - 1/6y = 8 -1

1/2y = 7

y= 7×2/1

y= 14

Somebody help with bothhh

Answers

1) A 2) -7 hope this helped !

What is the binary number for 16​

Answers

Answer:

Decimal Number 4-bit Binary Number Hexadecimal Number

14 1110 E

15 1111 F

16 0001 0000 10 (1+0)

17 0001 0001 11 (1+1

Step-by-step explanation:

hope this helped

16) Find the surface area of a square pyramid: square base is 3 centimeters by 3 centimeters and the slant
height is 4.6 centimeters.

Answers

Answer:

73.2 cm

Step-by-step explanation:

area = 2 bases + 4 sides

area = 2× 3×3 + 4× 3×4.6

area = 2×9 + 4×13.8

area = 18 + 55.2

area = 73.2 cm

A members-only speaker series allows people to join for $28 and then pay $4 for every event attended. What is the total cost for someone to attend 4 events? Write and solve an equation to find the answer

Answers

Given:

Joining fee = $28

Fee of each event = $4

To find:

Total cost for someone to attend 4 events.

Solution:

Let the number of events be x and total fee be y.

Fee for 1 event = $4

Fee for x events = $4x

Joining fee remains constant. So, the total fee is

[tex]y=28+4x[/tex]

Substitute x=4 in this equation.

[tex]y=28+4(4)[/tex]

[tex]y=28+16[/tex]

[tex]y=44[/tex]

Therefore, total cost of 4 events is $44.

Select the correct answer. Which equation represents the vertical line passing through (1,-9)? A x=-9 B. X= 1 C. y=-9 D y=1 Reset​

Answers

Answer:

x = 1

Step-by-step explanation:

the vertical line is passing through only the x-axis and not the y axis. So the graph is a x = ? All you e have to to is to look for the x coordinate of the point the vertical line is passing through which is 1 and so the answer is x = 1.

Please mark brainliest. Thanks!!!!

x=1 represents the vertical line passing through (1,-9) .

What is vertical line ?

A vertical line is a line, parallel to y-axis and goes straight, up and down, in a coordinate plane.

In a vertical line x-coordinate remain constant, only y-coordinate changes.

The vertical lines are parallel to the y-axis and are perpendicular to the horizontal lines. On a vertical line, all the points on the line have the same x-coordinate.

Here x=1 is the only vertical line which passes through (1,-9) So option B is correct.

Learn more about vertical line from here :

https://brainly.com/question/13425491

#SPJ5

6 is a Natural, Whole, and Integer number,
True or false

Answers

Answer:

This is true!

Step-by-step explanation:

It is natural because it is a positive integer greater than 0, it's whole because its not negative and it is an integer.

Which situation could be represented by the equation 38.25 = 3x?

A group of 3 friends each had $38.25. What is x, the total amount of money the friends had all together?

A group of friends had $38.25. They decided to triple their money by working for a neighbor. What is x, the total amount of money the friends had all together after working for a neighbor?

A group of 3 friends had $38.25 all together. Each friend had the same amount of money. What is x, the amount of money each friend had?

A group of friends had $38.25. They earned $3 more. What is x, the amount of money the friends have all together?

Answers

Answer:

A

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

help me with this please

Answers

Answer:

C is correct

Step-by-step explanation:

3+6=9

2 sides on a triangle must be greater than the other side

Help me with this question

Answers

Answer:

A) SSS ( I think ) Not the best at these.

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

If I scored a 16 out of 20 on my Reading test, what percentage did I score?

Answers

Answer: 80

Step-by-step explanation:

Answer: 80%

Step-by-step explanation:

16 divided by 20 = 0.8

What is the slope and y-intercept of y=2x+3 and why?

Answers

The slope is 2 and the y intercept is 3 m = 3 and b = 2x

Please answer the following problems as a fraction:

1. - 9/10 + 7/10 =

2. - 1/2 — 2/5 =

Answers

Answers:

1. - 9/10 + 7/10 =-0.2

2. - 1/2 - 2/5 =-0.9

Have a beautiful day! v(⌒o⌒)v♪

ive done one but i cant seem to get the rest right please help

Answers

Answer and Step-by-step explanation:

All you have to do is plug 6 in for x.

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A) 6 + 4 = 10      The 6 and 4 add together to make 10.

B) 3(6) = 18        The 3 and 6 multiply together to make 18.

C) [tex]\frac{6}{2}[/tex] = 3              The 6 is divided by the 2 to make 3.

*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^

#teamtrees #WAP (Water And Plant)

a) 10 b) 18 c) 3
let me know if im right

Please help Im not good at this stuff and i just need some help please, it would very appreciated

Answers

The answer is rational and here is the steps

Graph the equation.
y-1 = -2(x-2)

Answers

Answer:

y-1 = -2(x-2) graph:

Answer:

Graph is below

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope:

2

y-intercept:

(

0

,

5

)

x

y

0

5

5

2

0

Please help me I will give you brainleist if I figure out how

Answers

2.5
2.52
5 for 12.50


12.5/5= 2.5
20.16/8=2.52
i agree with the person above :) mark them brainlist they deserve it have a great day

Kyle has 2 3/4 pounds of flour. He wants to divide the flour into 3 equal-sized
bags. How many pounds of flour are in each bag?

Answers

about .92 lbs or 11/12 lbs in each bag

Answer:

11/12

Step-by-step explanation:

All you do is make 2 3/4 a improper fraction and then divided the improper fraction by 3 to get 11/12

Hope it helps :D

determine the slope of the line that passes through each pair of points. (-2,1) and (0,-2)

Answers

Answer:

slope = - [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 1) and (x₂, y₂ ) = (0, - 2)

m = [tex]\frac{-2-1}{0+2}[/tex] = [tex]\frac{-3}{2}[/tex] = - [tex]\frac{3}{2}[/tex]

19. Find 3 consecutive integers such that twice
the least integer is 12 more than the greatest
integer.

Answers

Answer:

et's start by defining the three consecutive integers.

.

If x represents the least of the three, then the next consecutive integer is x+1 and the

next consecutive integer is 1 more than that ... or x + 2

.

So the three consecutive integers are x, x+1, and x+2.

.

Twice the least integer is, as you correctly wrote, 2x.

.

12 more than the greatest integer is x+2 + 12 = x + 14

.

Since these two amounts must be equal, you can write:

.

2x = x + 14

.

Now you need to get rid of the x on the right side so that you end up with all the terms

containing x on one side of the equation and everything else on the other side. You can

get rid of the x on the right side by subtracting x from the right side. But if you subtract

 

something from the right side, you must also subtract it from the left side to keep the

equation in balance. So subtract x from both sides. When you do that, the x disappears

from the right side and the left side becomes 2x minus x which is just x.

.

So the equation is reduced to:

.

x = 14

.

If x is 14 then the next two consecutive integers are 15 and 16 ... x+1 and x+2. So the

three consecutive integers are 14, 15, and 16.

.

Check ... the least integer is 14. Twice the least integer is 28. Is 28 actually 12 more

than the greatest integer which is 16? Yes it is, so the problem checks.

.

You were on the right track, but you just needed to know the difference in the three integers

was that they were x, x+1, and x+2. Hope this helps to show you how you could work the

problem through to get the final answer.

Step-by-step explanation:

Oliver earns $4 a day for 7 days for doing chores. Each day, his mom takes $2 and put it into a savings account for Oliver. How much money does Oliver get to keep after 7 days?

Answers

Answer:

$14

Step-by-step explanation:

Oliver earnings per day = $4

Each day, his mom takes $2 and put it into a savings account for Oliver

His savings per day = $2

Oliver's total savings after 7 days = savings per day × 7 days

= $2 × 7

= $14

Oliver gets to keep a total of $14 after 7 days

2/5(5 + x) = 8
What is x if the equation equals 8

Answers

Answer:

x=15

Step-by-step explanation:

Can someone help me with this ASAP?

Answers

Answer:It's A I think if not try B

Step-by-step explanation:

Use the equation
7848 = 1548 + 300(t)
6300 = 300t
t = 21
1940 + 21 = 1961
It would be C

how do I solve an equation with different variables on both sides? here is an example.
solve for x
9x – 2c = k

Answers

Answer:

Step-by-step explanation:

9x - 2c = k

    9x = k + 2c

     x  = (k + 2c)/9

Hello I am to lazy I am also really bored so waz up

Answers

First, we would need to create an equation for this problem. Let x represent the unknown number of hours.

4(6 + x) = 48

Next, you would simplify the equation.

24 + 4x = 48

Now, you would combine like terms.

4x = 24

Your last step would be to isolate the x. To do this, you would divide both sides of the equal sign by 4.

x = 6

I hope this helps!

Answers x=6

Step-by-step explanation:

What is the value of the expression 5ab-2c, where a =2, b=3 and c=0?

Answers

Answer:

30

Step-by-step explanation:

5*2*3 - 2*0 = 30 - 0 = 30

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