Mathematics High School

(10^25)-7 is divisible by

a) 2 b)3 c)9 d) both 2 & 3

Answers

Answer 1
The answer is b)3.

If the last digit of a number is divisible by 2, than the number is divisible by 2 (for example, in 828, the last digit is 8 which is divisible by 2 (8/2 = 4), so 828 is also divisible by 2).

If the sum of all the digits of a number is divisible by 3, then the number is divisible by 3 (for example, in 396, the sum of the digits is 18 (3+9+6=18), so 396 is also divisible by 3). 

Similarly, if the sum of all the digits of a number is divisible by 9, then the number is divisible by 9.

Now, let's check it out for 10²⁵ - 7. Let's first take simple examples:
10² - 7 = 100 - 7 = 93 (The last digit is not divisible by 2. Also, the sum of the digits is 9+3=12 and it is divisible only by 3, but not by 9).
10³ - 7 = 1000 - 7 = 993 (The last digit is not divisible by 2. Also, the sum of the digits is 9+9+3=21 and it is divisible only by 3, but not by 9).
10⁴ - 7 = 10000- 7 = 993 (The last digit is not divisible by 2. Also, the sum of the digits is 9+9+9+3=30 and it is divisible only by 3, but not by 9).
....
10²⁵-7 =..... There are many zeros, but based on the previous examples, we can make a conclusion that the last digit is not divisible by 2. Also, the sum of the digitsit is divisible only by 3, but not by 9.

Related Questions

A hotel cost $198including tax. what is a room for 2 weeks

Answers

$2,772 all you have to do is multiply 198 by 14 to get your answer because there are 14 days in two weeks

a baker makes 84loaves of bread but she burns 4 of them what fraction of the loaves does the baker burn? 1/88, 1/80,1/21,1/20 ...?

Answers

Here is the answer to the given question above.
Given that the baker makes 84 loaves of bread, and out of the 84, she burns 4 of them. So in fraction it will be expressed in 4/84. So to know the final answer, we will simplify this fraction and we get 1/21. So the answer would be the third option. Hope this answer helps.

WILL UPVOTE
Solve: 16x2 − 81 = 0.

x = 4, 9
x = −4, −9
x = 9 over 4, x = −9 over 4
x = 81 over 16, x = −81 over 16

Answers

x= 9 over 4 is the correct answer

Which of the following sets represents the domain of the function shown?
{(2, 7}, (15, 13), (21, –4), (24, 18)}


A) {-4,2,7,13,15,18,21,24}
B) {7,2),(13, 15),(-4,21),(18,24)
C) {2,15,21,24}
D) {-4,7,13,18}

Answers

The domain of the function is the x-values and the range is y - values.
The function is { ( 2, 7 ) , ( 15, 13 ), ( 21, - 4 ), ( 24, 18 ) }
The domain is:
C ) { 2, 15, 21, 24 }
( the range is D ) )

passes through (4,-5), slope = 3/4

Answers

equation = y = mx + b
y = 3/4x + b

Calculation for b.,
-5 = 3/4 * 4 + b
b = -5/3

So, your final answer is y = 3/4x - 5/3

Hope this helps!

Write each fraction as an expression with negative exponents.

v/w raised to the second power ...?

Answers

The answer is w⁻²/v⁻².

v/w raised to the second power is (v/w)²

(v/w)² = v²/w²

Since xᵃ = 1/x⁻ᵃ, then v²/w² = 1/v⁻²w²

Since 1/xᵃ = x⁻ᵃ, then 1/v⁻²w² = w⁻²/v⁻²

What is the simplest form of expression? 2a^2b^2/4a

Answers

Final answer:

To find the simplest form of the expression 2a^2b^2/4a, you divide both the numerator and the denominator by the common factor 2a. The resulting simplest form of the expression is ab^2/2.

Explanation:

The student has asked: What is the simplest form of the expression 2a^2b^2/4a? The simplest form is achieved by simplifying the expression through division since there are common factors in the numerator and the denominator. Here, we can divide both the numerator and the denominator by 2a, which is a common factor. This simplification process will give us the simplest form of the expression.



To simply the expression 2a2b2/4a, we can follow these steps:

Divide the numerator and denominator by the common factor 2a.This results in a2b2/2a becoming ab2/2 after reduction.



Therefore, the simplest form of the expression is ab2/2.

"1.Provide the reasons for the proof.
Given: m angle1 = m angle2
Prove:

Answer:
StatementsReasons
a. m angle 1 = m angle 2a. Given
b. angle 1 is supplementary to angle 2.b. Definition of supplementary angles.
c. m angle 1 + m angle 2 = 180 c.
d. m angle1 + m angle1 = 180
2(m angle1) = 180d.
e. m angle1 = 90e.
f. angle 1 is a right angle.f. GIVEN OR PROVE IF PROVE PUT REASON....EXAMPLE: SUPPLEMENTARY......"

Answers

Assuming you are given a picture of intersecting lines. 

Switch the reasons for b) and c) 
b) the angles form a linear pair , from the picture, so this is linear pair postulate
C) Then the measures add to 180, because they are supplementary. Defn of supplementary. 
E) you have divided both sides of the equation by 2; or multiplied by 1/2; multiplication property of equality 
F) definition of right angle 
G) definition of perpendicular 

I hope my answer has come to your help. Have a nice day ahead and may God bless you always!

What is a math teachers favorite breakfast? Its an algebra math worksheet riddle

Answers

The math teacher's favorite breakfast is Pi.

Pi (π)

The number pi is a mathematical constant whose value is  (3.141592653589793238...). its decimal representation is neither end (such as 1/4 = 0.25) nor becomes repetitive  (such as 1/6 = 0.166666...). And it is generally denoted by the Greek letter p or π.

In geometry, the pi is generally defined as the ratio of the circumference of the circle to its diameter.

[tex]\rm{\pi=\dfrac{Circumference}{Diameter}[/tex]

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A blouse that cost $16.85 is on sale for 45% off. What is the amount of the discount?

Answers

Answer: the answer


Step-by-step explanation: is 7.58



The amount of the discount if A blouse that cost $16.85 is on sale for 45% off is $7.6.

What is percentage?

The percentage is a relative figure used to denote hundredths of any quantity. Since one percent (symbolized as 1%) is equal to one-hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.

Given:

The cost of the blouse, c = $16.85

The discount of the sale, d = 45%,

Calculate the amount of discount as shown below,

The amount of discount = 45% of The cost of the blouse

The amount of discount = 45 / 100 × 16.85

The amount of discount = 0.45 × 16.85

The amount of discount = 7.5825

Thus, the amount of the discount is $7.6.

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a test is worth 80 points multiple choice questions are worth 2 points and short answer questions are worth 4 points if the test has 25 questions how many mutiple choice questions are there

Answers

80 divided by 2.5 is 32, if this is the entire question.

For Apex Users 2m+4s=80

In the equation below, what is the coefficient of the variable?

15 = 8x

A. =
B. 8
C. x
D. 15

Answers

B

but i have to write more to let me post this so here it is




If you eat two slices of a medium pizza with eight slices, what is the simplest fraction for the number of slices of pizza leftover?

Answers


you  eat 2/8=1/4 of pizza

1 - 1/4 = 3/4 leftover


HELP

What is the equation of a line that is parallel to 2x+3y=3 and passes through the point (3,−4)?

Answers

paralell has same slope
the slope for ax+by=c is -a/b
that means that a line paralell to 2x+3y=3 will have 2x+3y=something
find that something

given
(3,-4)
x=3 and y=-4 is a soltuion
2x+3y=something
2(3)+3(-4)=something
6-12=something
-6=something

2x+3y=-6

jasmine has taken an online boating safety course and is now completing her end of course exam.As she answers each question, the progress bar at the bottom of the screen shows what portion of the test she has finished. She has just completed question 16, and the progress bar shows she is 20% complete. How many total questions are on the test.

Answers

20% of 16 which is. 10%=1.6 and another that would = 3.12

What do you do when you must solve a system of equations by elimination but all of the coefficients on the variables are different? What is important to remember when doing this?

Answers

The coefficients are of no consequence. Just find a way to make it what you want. Please provide an example of what is troubling you and why you think it is trickier than those you already have solved.

A line segment has an endpoint at (5, 2) and has a negative slope. Which of the following points could be the other endpoint?

A. (6, 3)
B. (5, 1)
C. (4, 3)
D. (4, 1)

Answers

I believe that the answer would be C. if the slope's negative, the value of x has to be higher when the value of y is lower. it's kind of hard to explain in a message but i hope its right.

Evaluate |3 - 5 + 7|.

-5
5
-15
15

Answers

The right answer is 5

How do I set the proportions up

Answers

Your proportion would be 13/3 =x/4,000.

what are the base seven counting numbers just before and after 16 base seven ? ...?

Answers

Just before 16 is 15, and just after is 20. In base 7 the digits that are found are 0,1,2,3,4,5,6, while the 6 in base 7 is just like the 9 in base 10. That's why 20 comes after 16 in base 7.

Final answer:

In base seven, the number just before 16 is 15, and the number just after 16 is 20. These correspond to 5 and 14 in decimal notation, respectively.

Explanation:

The question asks for the base seven counting numbers just before and after 16 in base seven. In base seven, counting is similar to decimal but stops at 6 before moving to the next place value. The number 16 in base seven is written as 6 in base 10, since base seven does not have a digit for '7' or higher. Therefore, the counting sequence in base seven goes ...14, 15, 16, 20, 21... Thus, the number just before 16 in base seven is 15 (which is 5 in base 10), and the number just after 16 in base seven is 20 (which represents 14 in base 10).

How to divide 219 by 3?

Answers

73 is your answer do 73 time 3,   3*3=9 put the 9 down then 7*3=21 so the answer is 219 which is the number your dividing by. Always times your answer by the number smallest number and if it equals the biggest number in that problem that means your correct. So the answer is 73. Hope this helps.

Ronnie is scheduling a chess tournament in which each player plays every other player once. He created a table and found that each new player adds more games to the tournament in an arithmetic sequence. Answer this set of project questions regarding the chess games.

table:
# of players | # of games
1 | 0
2 | 1
3 | 3
4 | 6
5 | 10
Which of the following is a recursive rule for the original sequence?
A) an = an-1 + n + 1
B) an = an-1 + n - 1
C) an = an-1 + n
D) an = n2+ n

How many games must be played when 7 players are in the tournament?

Answers

1) According to the table represented above, the number of games that can be played when 7 players are in the tournament is definitely 21 games. As you can see, in the last row there are 4 players to 5,which means that we have 4 new games. The same happens if we go from 3 players to 4, and finelly we have 3.

2) And what about the recursive rule for the original sequence, the approrpiate one is an = an-1 + n - 1, so the answer is lying in the second option from the scale.
According to the fact that the number of games is actually the sum of integers from 1 to n-1 we expect to have n number of players.
I am sure it's clear now!

Which is an equation in point-slope form for the given point and slope?
Point: (7, 4); Slope: 6



y – 7 = 6(x + 4)


y – 4 = 6(x – 7)


y – 4 = 6(x + 7)


y + 4 = 6(x – 7)

Answers

Using point slope formula;

y=6x-38

a new website didicated to helping users research their ancestry had 200 visitors in the first week. the marketing director beleives that without an advertising compaign, the site will gain 50 new users each week. how many total visitors will they have after 12 weeks?

Answers

They will have 800 visitors after 12 weeks.

You can acquire this answer buy multiplying 50 by 12 to get the amount of new users after 12 weeks to get 600, and then add 200 to 600 for the current users.

A container holds 16 pints of lemonade. how much is this in gallons?

Answers

As 1 gallon contains 8 pints, do # of pints/# of pints per gallon to get your # of gallons, 16 pints/8 pints per gallon=2 gallons as your answer.

Answer: 2 gallons of lemonade.

Step-by-step explanation:

The container holds 16 pints of lemonade, and we know that a pint corresponds to 0.125 gallons.

So 16 pints are equal to 16 times 0.125 gallons:

16*0.125 gallons = 2 gallons

Then the container holds 2 gallons of lemonade.

an aeroplane moving horizontally with a speed of 180 km/hr drops a food packet while flying at a height of 490m . the horizontal range of the packet is?? ...?

Answers

The time the package travels horizontally is equal to the time it takes to hit the ground. This can be calculated using:
s = ut + 1/2 at²; u is 0
480 = 4.9t²
t = 9.90 seconds

Horizontal distance = horizontal speed x time
The speed will be converted to m/s from km/h
= 180 km/hr x 1000m/km x 1hr/3600 seconds x 9.90 seconds
= 495 m

Which function is NOT continuous?

a. your altitude as a function of time while flying from reno to dallas?
b. time to travel from miami to pensacola as a function of driving speed?
c. number of tennis balls that can fit completely inside a particular box as a function of the radius of the tennis balls?
d. area of a circle as a function of radius.

Answers

The function which is not continuous is C. number of tennis balls that can fit completely inside a particular box as a function of the radius of the tennis balls.
The reason for this is because the number of these balls is discreet, not continuous (meaning that there cannot be 6.5 balls). 

Answer:

C. number of tennis balls that can fit completely inside a particular box as a function of the radius of the tennis balls.

Step-by-step explanation:

It costs $4 to enter a fair. each ride costs 2.50. You have $21.50. How many rides can you go on?

Answers

The answer is 7. Because $21.50-4=17.50 and then 17.50÷2.50=7
The equation is $21.50 = 2.50x + 4
So the first step is subtracting 4 from both sides
So you are left with $17.50 = 2.50x
Then divide both sides by 2.50
So you get 7 = x

So you can go on 7 rides

A number a is a root of P(x) if and only if the remainder, when dividing the polynomial by x - a, equals zero.
A. True
B. False

Answers

A number a is a root of P(x) if and only if the remainder, when dividing the polynomial by x - a, equals zero.

A. True

Answer: True

Step-by-step explanation:

What is the greatest factor of: 6x^2y^3 + 18x^3y^3 + 36x^3y^2

Answers

Final answer:

The greatest factor of the given expression is 6x^2y^2, found by identifying the common variables with the lowest exponents and the greatest common divisor of the coefficients.

Explanation:

The student is asking to find the greatest common factor (GCF) of the algebraic expression 6x^2y^3 + 18x^3y^3 + 36x^3y^2. To find the GCF, we look for the highest exponents of the variables that are common in each term, and the largest coefficient that can evenly divide all the coefficients of the terms.

Firstly, we notice that each coefficient (6, 18, 36) is divisible by 6, so 6 is part of our GCF. Next, we see that the smallest exponent of x is 2 and the smallest exponent of y is 2 as well. So, x^2 and y^2 are also part of our GCF. The greatest factor is then 6x^2y^2.

Therefore, when we factor out the GCF from the expression, it would be written as:

6x^2y^2 (y + 3x + 6xy)

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