1E. The number 2A5A0A2 is divisible by 99. What is the digit A?

Answers

Answer 1

We know, a number is divisible by 9 if the sum of digits is also divisible by 9.

Also, since A is an digit, so A is in between 0 to 9.

2+A+5+A+0+A+2  = 3A + 9

3A + 9 should be divisible by 9.

3A + 9 = 9n

A = (9n -9)/3

For n= 1 :

A = 0

For n=2 :

A = 3

For n= 3 :

A = 9

After this A > 9 which is not accepted.

Therefore, the digit A can be 0, 3 and 9 .

Hence, this is the required solution.

Answer 2

The digit A that makes 2A5A0A2 to be divisible by 99 is;

A = 3

From study of divisibility of single digit numbers, it was discovered that a number can be divisible by 9 or a multiple of 9 provided the sum of digits is also divisible by 9.

We are given the number 2A5A0A2

A is a single digit and as such will be between 0 and 9.

Thus, using the principle above;

2 + A + 5 + A + 0 + A + 2  = 3A + 9

Applying the principle;

3A + 9 must be divisible by 9.

Thus;

3A + 9 = 9x

A = (9x - 9)/3

When x = 1;

A = 0

When x = 2;

A = 3

When x = 3;

A = 9

Since A is a single digit, then it means that x cannot be more than 4 as any value of x more than 4 will yield a value of A that is not a single digit.

Now, when we place either the value of 0, 3 or 9 for A into the given number, the only one that yields a number that is divisible by 99 is A = 3

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Related Questions

2. Find the slope of the line graphed below.
10
9
8
7
6
5
4
3
2
1
2 3 4 5 6 7 8 9 10
3 4 5 6

Answers

Step-by-step explanation:

y+6=-2(x-4)

if it is wrong i am sorry

Please hurry!! Thanks

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Answer:

angle 1, angle 3, and angle 8.

simplify
3/4 - 4x + 1/2x - 1/2 + 1/2x

Answers

Answer:

x=4

Step-by-step explanation:

Answer:

1/4 - 3x

Step-by-step explanation:

Combine like terms

-4x + 1/2x + 1/2x = -3x

3/4 - 1/2 = 1/4

Now put it together

1/4 - 3x

An object is moving at a speed of 230 feet per week. Express this speed in inches per
minute. Round your answer to the nearest hundredth.

Answers

Answer:

Step-by-step explanation:

0.27 inches per minute....

An object is moving at a speed of 230 feet per week. This speed in inches per minute will be 0.27.

We know ,

     1 feet = 12 inches and

     1 week= 7days = 24×7 hours = 24×7×60 min.

                                                    = 10080 min.

Now, we just need to be careful with our multiplication and division. So we are going to have 230 times 12 on top divided by 24 times 7 times 60 i.e., 10,080 on bottom.

230 feet per week in inches per min = 230×12/10,080.

After evaluating and rounding up to 2 decimal places or the hundredth place , we will get our answer i.e., 0.27 inches/min.

To learn more about speed in inches per minute

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I need this by 11:21 please help

Answers

Answer:

[tex]\frac{-2+i}{-4-5i} = \frac{3}{41}-i\frac{14}{41}[/tex]

Step-by-step explanation:

[tex]\frac{-2+i}{-4-5i}[/tex]

Apply complex arithmetic rule: [tex]\frac{a + bi}{c + di} = \frac{(c-di) (a + bi)}{(c-di) (c + di)} =\frac{(ac+bd)+(bc-ad)i}{c^2+d^2}[/tex]

[tex]a=-2,b=1, c=-4,d=-5[/tex]

[tex]=\frac{\left(-2\left(-4\right)+1\cdot \left(-5\right)\right)+\left(1\cdot \left(-4\right)-\left(-2\right)\left(-5\right)\right)i}{\left(-4\right)^2+\left(-5\right)^2}[/tex]

Refine:

[tex]=\frac{3-14i}{41}[/tex]

Rewrite [tex]\frac{3-14i}{41}[/tex] in standard complex form: [tex]\frac{3}{41} - \frac{14}{41}i[/tex]

Final answer: [tex]\frac{3}{41} - \frac{14}{41}i[/tex]

Hope I helped! If so, may I get Brainliest and a Thanks?

Thank you, Have a good one! =)

Answer:

3/41=14i/41

Step-by-step explanation:

Help !!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

D. No function.

Step-by-step explanation:

if a car travels 55 miles per hour how far will it travel in half an hour​

Answers

Answer:

27.5

Step-by-step explanation:

Which phrase correctly represents the algebraic expression 3t?


A) The sum of three and a number.
B) The product of three and a number.
C) The quotient of three and a number.
D) The difference of three and a number.

Answers

Answer:

b

Step-by-step explanation:

3t is also represented as 3(t)

which is multyplication

theirfor the product

Answer:

the answer is b

Step-by-step explanation:

3/45/6 simply this complex fraction

Answers

Answer:

1/15/2

Step-by-step explanation:

Divide all the numbers by 3 (the lowest common denominator)

Answer:

90

Step-by-step explanation:

3/45×1/6=3/270=90

Answer C, D Please help will give brainliest.

Answers

Answer:

I am not sure what to do you have any pictures

Step-by-step explanation:

write the standard form of the line that passes through the given points 3, 1 and -2, 3​

Answers

Answer:

ye

Step-by-step explanation:

ye

plzzzzzzzzzz quick!!
Which of the following could be solved by using the equation –5 + 5 = 0?
A. Jack made five piles with five cards in each pile.
B. Maribeth bought five bracelets and five necklaces.
C. Jessie read five books today and five books the day before.
D. Sam lost five points and then gained five points.

Answers

D they lost -5 and gained 5 more points

Landon is buying a shirt priced at $19.99. The sales tax is 8.5%. What is the total cost with tax of the shirt?

Answers

Answer:

21.69

Step-by-step explanation:

you need to add the sales tax to 1 to find the answer. (1.085*19.99=21.69)

Answer:

$21.69 is the total cost

Step-by-step explanation:

you just have to do this

(1.085*19.99=21.69)

and thats how you get $21.69

Hope this helps

Which of the following defines the ratio of pi

Answers

Answer:

The second option

Step-by-step explanation:

elephant sanctuary contains adult and baby elephants the ratio of adult elephants to baby elephants is 5 find and interpret the value of the ratio

Answers

That means for every 5 adult elephants there is 1 baby elephant, that also means that there are 5 times more adults than babies

If you were looking for a more specific answer just let me know in comments and i will do it

Using the algebraic expression 4n + 6, what is the greatest whole-number value that will give you a result less than 100?

Answers

Answer:

23

Step-by-step explanation:

Allow 4n+6=100

∴4n=94

∴n=23.5

If 23.5 gives you 100 exactly, the greatest whole number that'll give you a result less than 100 is 23.

y = -2x + 1 3x - 2y = 5

Answers

Answer:

x=1, y=-1. Use a system of equations rather than substitution.

Select the correct answer.
Function n has an x-intercept at (4,0), which statement must be true about D, the discriminant of function h?
OA. D< 0
OB. DO
OC. DO
OD. D = 0

Answers

C because it it c and ye I am struggling

The statement which must be true about D, the discriminant of function h is D =0 hence, option (D) must be correct.

What is the discriminant of function?

When working with quadratic equations, the discriminant is commonly calculated to investigate the kind of roots. Even though it is difficult to ascertain a discriminant for any polynomial, there exist methods for collecting the discriminant of cubic and quadratic equations that reduce our approach.

The discriminant function gives us an idea about the nature of the solution whether it is real or not if real then how much will be the solution?

If D > 0 then there will be 2 real solutions.

If D = 0 then there will be 1 real solution.

If D < 0 then there will be 2 imaginary solutions.

Given that function, h has an interception it means there will be a real solution. Hence, D = 0 will be the correct answer.

For more information about the discriminant function

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There are 125 members in the school
marching band. The band wants to raise
$25.000 for a trip to a national
competition. The school agreed to
contnbute S5 000 towards the trip. Which
inequality shows the amount of money
that each band member should raise
HELP PLEASEEEE I NEEED I EQUATION

Answers

Answer:

125x + 5,000 > 25,000

This table shows the input and output values for a linear function f(x).



What is the difference of outputs for any two inputs that are one value apart?




−30

−25

1

20

Answers

Answer:

-25

Step-by-step explanation:

The following are x-values (inputs) and their y-values (outputs) that are one value apart:

(Input, output)

✅(-2, 20) and (-1, -5)

Difference between their outputs = -5 - 20 = -25

✅(-1, -5) and (0, -30)

Difference between their outputs = -30 -(-5) = -25

✅(0, -30) and (1, -55)

Difference between their outputs = -55 -(-30) = -25

✅(1, -55) and (2, -80)

Difference between their outputs = -80 -(-55) = -25

As we can see the difference of outputs for any two inputs that are one value apart = -25

Answer:

-25

Step-by-step explanation:

Help please I’m not sure what the answer is

Answers

Answer:

D

Step-by-step explanation:

Use the graph to find the value of f(45).
A) 5
B) 10
C) 20
D) 35

Answers

Answer:

I'm not sure if this helps or not but the value of 45 is 45 if you're talkin about the factors of 45 its 1 3 5 9 15 45

Ken has an investment account which compounds interest continuously at a rate of 3.4%. After 4 years, he has $4400 in the account. How much money did he initially place in the account? Round your answer to the nearest dollar. Do NOT round until you have calculated the final answer.

Answers

Answer:

$6617

Step-by-step explanation:

Use the formula for calculating compound interest A=P0ert where A is the unknown, P0=4400, r=0.034, and t=12. Substitute the values into the formula and simplify.

A=4400e0.034⋅12

A=4400e0.408

A=4400(1.503...)

A=6616.75

After 12 years, there will be A≈6617 in the account, rounded to the nearest dollar.

Answer:

$3841

Solve the formula for calculating compound interest

a=Pe rt for

What other parts must be equal?

Answers

Answer:

Option C GH and JK

Step-by-step explanation:

A S A means angle side angle where the side is subtended in-between the 2 angles

Topic: Similarity and congruency

If you like to venture further, feel free to check out my insta (learntionary). It would be best if you could give it a follow. I'll be constantly posting math tips and notes! Thanks!

What is important to know about shortened URLs?

What else should you check for in a message? Give two examples. HELP MEEEEE

Answers

Answer:

is the rise of mobile smartphones , texting ,internet

Please help me. I need help on this question.

While negotiating to have a new facility built in Sheboygan, Wisconsin, a company promises to hire 700 workers initially, and then hire an additional 50 workers every four months. Write a linear equation that describes the number of employees (y) in terms of
the number of years after the initial hires are made (x).


What is the correct equation?

Answers

Answer:

y= 700 + 150x

Step-by-step explanation:

Since they hire 50 employees every 4 months, that's 150 new employees per year, plus the initial 700. So, you multiply 150 by the number of years, add 700 to that, and it equals y.

Amber got demoted, and her hourly rate decreased from $10.25 to $9. What is the percent
decrease?

Answers

Answer:

9.3275

Step-by-step explanation:

Answer:

The percent  decrease is 12.20%

Step-by-step explanation:

$10.25 - $9 / $10.25 * 100% = 12.19512195121951 = 12.20%

given an arithmetic progression -24, -19, -14, ..., state four consecutive terms in this progression which sum up to 74​

Answers

ION NNNNMMMMMMMMMMMMMMM

The sum of two numbers is 18. Two less than four times the smaller number is equal to the larger number x. Find the larger number. (Enter an exact number.)

Answers

Answer:

14

Step-by-step explanation:

x+y=18

x is the larger number

4y-2=x

(4y-2)+y=18

5y-2=18

y=4

18-4=14

the larger number is 14

If you could change the instrument you play would you or wouldn't you? Tell me why.



PLZ ANSWER I'LL GIVE BRAINLIEST!

Answers

Answer:

No, because i wouldn't know how to play it, and you'd get frustrated because you cant play it

Step-by-step explanation:

Answer:

yes because i'm not very good at it. the other instrument i have started to play

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