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

How to solve 25= 4+ 7x

Answers

Answer: x =3

Step-by-step explanation:

Marsha recorded the time it took seven children of different ages to run one lap around the track.
Using the line of best fit, which is closest to the length of time it should take Marsha's 6 year old niece to
run one lap?
A. 190
B. 200
C. 205
D. 210

Answers

The answer is C. 205.
Answer: C

Reasoning: There is a 40s difference between the age of 4 and 8 meaning 6 most likely would be in the center of that, which also means it’d be about half of 40. So with that we subtract 20 from 225 and thus giving us the closest length of time it should take Marsha’s 6 year old niece to run one lap, 205s.

please help meeeeeeeeee ​

Answers

Answer:

FRACTION         DECIMAL                   PERCENT

3/100                   0.03                              3%

3/2                         1.5                                150%

13/20                    0.65                             65%

2/3                       0.6667                          66.67%

help me with question 3 for brainliest

Answers

Answer:

1. y>2x+1

2. The dots and the marked zone over the line indicates that it is a ">"

Put these amounts of money in order smallest to largest
£1.32 £1.23 £1.03 £3.21 £3.12

Answers

Answer:

£1.03, £1.23, £1.32, £3.12, £3.21

Step-by-step explanation:

Which ordered pairs in the form (x, y) are solutions to the equation 3x−4y=21?

Select each correct answer.


(−3, 3)

(7, 0)

(−1, −6)

(11, 3)

Answers

The answer is (7,0)

I’m pretty sure if people can explain then there is your explanation but I don’t know how to explain CORRECTLY. But the ANSWER IS (7,0)
Answer: (7,0) and (11,3). i don’t know how many is max.

Explanation: 3(7)-4(0)=21
21-0=21 ✅

Explanation: 3(11)-4(3)=21
33-12=21 ✅

Both of these are true!

ABCD is a rhombus. Solve for x, if m AFB
(16x + 6)
B
F
D
C

Answers

2(8x+3) all you need to do is apply

Jose can use the rule m(x)=10+3x to find m(x) , the amount of money he will have after a week of doing x additional hours of chores. Evaluate m(20), What does this mean?

Answers

Answer:

70

Step-by-step explanation:

Given:

m(x) = 10 + 3x

where,

m(x) = the amount of money he will have after a week of doing x additional hours of chores

x = additional hours of chores

Evaluate m(20), What does this mean?

m(x) = 10 + 3x

m(20) = 10 + 3(20)

= 10 + 60

= 70

m(20) = 70

m(20) means additional hours of chores is 20

The product of 2 and y is at least 10. solving inequalities

Answers

2•y>10
The “>” has a line underneath it

Answer:

2y>10

y>5 is your answer

Abdul made $252 for 12 hours of work.At the same rate,how many hours would he have to work to make $105

Answers

Answer:

5 hours

Step-by-step explanation:

252 divided by 12= 21

21x5=105

In a certain Algebra 2 class of 28 students, 7 of them play basketball and 5 of them
play baseball. There are 18 students who play neither sport. What is the probability
that a student chosen randomly from the class plays both basketball and baseball?

Answers

i think it 5:28 since there are only 5 that play both

Please tell me how to do this geometry problem

Answers

Answer:

See attachment

Step-by-step explanation:

The angles are congruent which means that the triangles are congruent.

WXY ~~ WZY

How many minutes of calling time do the plans cost the same amount ?

Answers

D 200 minutes

.15*200 = 30+45= Plan A= $75
.25*200= 50+25= Plan B= $75

Answer is D

need help with another HW assignment.

Answers

If a=b then a-c=b-c a - c = b - c for any liner equations

PLEASE HELP! ILL GIVE YOU BRAINLIEST!

Answers

Answer:

A.

Step-by-step explanation:

It is the final step when doing math like that.

3x-2(x+5)=14 then x

Answers

3x-2 (x+5) =14
3x -2x -10 = 14
x -10 =14
10. 10. add 10 to both sides
x = 24
:)

Answer:

x = 24

Step-by-step explanation:

3x-2(x-5)=14

remove the parentheses using distributive property

3x-2x-10=14

collect like terms

x-10=14

move constant to the right side and change the sign

x=14+10

calculate ( add the numbers together)

x = 24

A recipe for cookies calls for 1 cup of butter, twice as much sugar as butter, and three times as much flour as sugar. How many cups of flour will you need if you halve the recipe?

Answers

Answer : 3 cups

Explanation: if the sugar is as twice as much as butter we need 2 cups of sugar if flour is 3 times as much as sugar we’ll need 6 cups half of 6 is 3

please answer fast
but i need a correct
answer

Answers

Answer:

Step-by-step explanation:

11/20ths

A logo is made of a square and a semicircle. The square has side lengths of 12 inches. One side of the square is also the diameter of the semicircle. What is the approximate total area of the logo?

Answers

Answer:

The square has side lengths of 22 inches. One side of the square is also the diameter of the semicircle

Step-by-step explanation:

Hopefully its right!

So I have 4 math problems, whether you choose to answer them or not is your choice. Also thank you if you do answer them. :)

But here they are.

#1 B^-2, solve for b=-3.

#2 (2t)^-4, solve for t=2.

#3 (m - 4)^-5, solve for m=6.

#4 2x^0y^-3, solve for x=7, and solve for y=-4.


The ^ means that there is a square root for that letter or number.

Answers

Answer:

1) 9

2) 256

3) -32

4) -2744

Step-by-step explanation:

Which is greater than 4: (a) 5 or (b) 5?

Answers

Answer:

I think C. is correct

Step-by-step explanation:

Just trust me, I'm smart ;)

Answer:

they both are the same number

Step-by-step explanation:

Yul has lunch at a restaurant. If his bill was $14.50 and Yul wants to leave a 20% tip, what is the amount he should leave for the tip? What is the total amount for his meal plus tip?

Answers

Answer:

Yul has lunch at a restaurant. If his bill was $14.50 and Yul wants to leave a 20% tip, what is the amount he should leave for the tip?

 

Yul should leave 20% tip of

 

14.50 * 0.20 = 2.9

I’m confused?????????

Answers

Answer:

The equation of the line is y - 3 = 2.5(x - 2) ⇒ D

Step-by-step explanation:

The rule of the slope of a line is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where

(x1, y1) and (x2, y2) are two points on the line

The point-slope form of a line is y - y1 = m(x - x1), where

(x1, y1) is a point on the line

From the given figure

∵ The line passes through points (2, 3) and (0, -2)

∴ x1 = 2 and y1 = 3

∴ x2 = 0 and y2 = -2

→ Substitute them in the rule of the slope to find it

∵ m = [tex]\frac{-2-3}{0-2}=\frac{-5}{-2}=2.5[/tex]

m = 2.5

→ Substitute the values of m, x1, y1 in the form of the equation above

∵ m = 2.5, x1 = 2, y1 = 3

y - 3 = 2.5(x - 2)

The equation of the line is y - 3 = 2.5(x - 2)

Claire wants to build a patio outside her café. The rectangular space outside of Claire's café is three times as long as it is wide. The area of the space is 48 m2. Claire
would like to build a patio with dimensions 3.5 m by 12.5 m in this space. Will it fit? Explain.

pls help​

Answers

Answer:

Step-by-step explanation:

It will fit in the space but it won't cover the entire space. the area is 48m2, but the patio in question will cover 43.75 of the 48m2. Also, it stated that the rectangular space is 3 times as long, and the patio is 3.57x as long as the width. So yes, it will fit, but it will not be a picture perfect fit, there will be some obscenities.

Step-by-step explanation:

Let length of space be lm and width be wm.

l = 3w --(1)

lw = 48 --(2)

sub (1) into (2):

3w(w) = 48

3w^2 = 48

w^2 = 16

w = ± 4 (rej -4 since w > 0)

when w = 4, l = 3(4) = 12

Since dimensions of the patio is 3.5m by 12.5m, and the dimensions of the space is 4m by 12m it does not fit

This is a topic known as simultaneous equations. If you would like to find out more / know when and how to use it, you can check out my Instagram page (learntionary)

5x - 2y = -26
-7x + 4y = 40
Show your work?​

Answers

Answer:

x = -4, y = 3

Step-by-step explanation:

In one equation (let's use the top one), solve for one of the variables (let's solve for y first).

5x - 2y = - 26 --> -2y = -5x - 26 --> y = (5/2)x + 13

Now, substitute ((5/2)x + 13) in for y in the second equation.

-7x + 4((5/2)x + 13) = 40 --> -7x + 10x + 52= 40 --> 3x = -12 --> x = -4

Then, subtitute that in to one of the equations.

5(-4) - 2y = -26 --> -20 - 2y = -26 --> -2y = -6 --> y = 3

Vote you brainiest please help me

Answers

Answer:whole

Step-by-step explanation:

a whole number and a fraction make a mixed number.

A right triangle with a base equal to 24 in and height equal to 18 in.

Answers

Answer: A= 216

Step-by-step explanation:

x+2y-z = 9
-2x+y+z= 1
2x-y+2z= -5

Answers

Answer:

I don't understand the first one

Kyle plans to make 15 hamburger patties, each weighing 14 pound, for a cookout. At the store, hamburger meat is priced at $3.66 per pound. If Kyle orders the exact amount of meat he needs, how much will it cost, rounded to the nearest cent?

Answers

Answer:

Total cost= $768.66

Step-by-step explanation:

Giving the following information:

Production= 15 units

Standard quantity= 14 pounds per unit

Standard cost= $3.66 per pound

First, we need to calculate the total pounds required to make the hamburgers:

Total pounds= 14*15

Total pounds= 210 pounds

Now, the total cost:

Total cost= 210*3.66

Total cost= $768.66

The land John owns covers an area of 2.17 x 104 square miles. The land Sam owns covers an area of 5.34 x 103 square miles. About how many times greater is the area owned by John than the area owned by Sam?

Answers

Answer:4.064 times

Step-by-step explanation:

Step 1

Area  of  Land owned by John =2.17 x 104 square miles

Area  of  Land owned by Sam= 5.34 x 103 square miles.

When we say about how many times is a quantity greeter than the other we mean that  how much is the smaller quantity contained in the larger quantity. and in such cases, we divide.

Area  of  Land owned by John/Area  of  Land owned by Sam

=2.17 x 104 square miles/ 5.34 x 103 square miles

=21,700 square miles /5,340 square miles

=4.064 times

Therefore  we say that John's owns an area of land  by 4.064 times Sam's land.

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