Every integer is a divisor of itself. A proper divisor of an integer means a positive divisor other than the integer itself. For example, the divisors of $8$ are $1,$ $2,$ $4,$ and $8,$ but the proper divisors of $8$ are just $1,$ $2,$ and $4$.

What is the smallest positive integer whose proper divisors add up to more than the integer itself?

Answers

Answer 1

the answer is 12
1x12 2x6 3x4
1+2+6+3+4=16

Answer 2

Final answer:

The smallest positive integer whose proper divisors add up to more than the integer itself is 12. Its proper divisors are 1, 2, 3, 4, and 6, which sum up to 16.

Explanation:

To understand this problem, we need to find the smallest positive integer whose proper divisors add up to a sum greater than the integer itself.

When we examine numbers, we find that the number 12 fits this description. The proper divisors of 12 are 1, 2, 3, 4, and 6. If we sum these up, 1 + 2 + 3 + 4 + 6, it equals 16, which is more than the number itself, 12.

Therefore, the smallest positive integer that meets this condition is 12.

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Related Questions

A quarterback completes 65% of his passes. Out of his next 40 passes, how many can you expect to be completed.

Answers

To find 65% of 40 multiply 40 by the percentage in decimal form (0.65) to get 26

26 because 0.65 times 40 to find how many passes he will complete out of the 40 will be 26 passes your welcome:]

Rewrite the set M by listing its elements. Make sure to use the appropriate set notation

M= {x | x is an integer and -2 < x < 1}

Answers

We are given the rule for the set,
M= {x | x is an integer and -2 < x < 1}In words, this set translates to numbers that are integers and greater than -2 but less than 1.
The actual elements of the set are
M = { -1, 0}
There are only two elements.

the selling price of a house dropped from 250,000 to 210,000 over a period of five years. By what percentage didnthe sellling price decrease?

Answers

Final answer:

The selling price of the house decreased by 16%.

Explanation:

To find the percentage decrease in the selling price of the house, we need to calculate the difference between the initial selling price and the final selling price, and then divide that by the initial selling price. Finally, we multiply the result by 100 to get the percentage decrease.

Difference = Initial Selling Price - Final Selling Price = $250,000 - $210,000 = $40,000Percentage decrease = (Difference / Initial Selling Price) x 100 = ($40,000 / $250,000) x 100 = 16%

Therefore, the selling price of the house decreased by 16%.

Final answer:

The selling price of the house decreased by 16%.

Explanation:

To find the percentage decrease in the selling price of the house, we can use the following formula:

Percentage decrease = ((Initial price - Final price) / Initial price) x 100

In this case, the initial price is $250,000 and the final price is $210,000. Plugging these values into the formula, we get:

((250,000 - 210,000) / 250,000) x 100 = (40,000 / 250,000) x 100 = 0.16 x 100 = 16%

Therefore, the selling price of the house decreased by 16%.

Model the function rule y = -2x - 3 with a table of values. Show your work.

Answers

to make out table, we will pick random numbers and sub them in for y to find y.

y = -2x - 3....subbing in 0 for x
y = -2(0) - 3
y = -3....so when x = 0, y = -3....(0,-3)

y = -2x - 3...subbing in 1 for x
y = -2(1) - 3
y = -2 - 3
y = -5....so when x = 1, y = -5...(1,-5)

y = -2x - 3...subbing in 2 for x
y = -2(2) - 3
y = -4 - 3
y = -7...and when x = 2, y = -7...(2,-7)

ur table would then be :

x y
0 -3
1 -5
2 -7

u can add more points if needed...but I think u can figure it out now.

y=-2x-3

-2(-3)-3= (6)-3= 3
-2(-2)-3=(4)-3= 1
-2(-1)-3=(2)-3= -1
-2(0)-3=(0)-3= -3
-2(1)-3=(-2)-3= -5
-2(2)-3=(-4)-3= -7
-2(3)-3=(-6)-3= -9

x l y
-3 3
-2 1
-1 -1
0 -3
1 -5
2 -7
3 -9

A moving company charges $0.60 per pound for a move from New York to Florida. A family estimates that their belongings weigh about 4 tons. About how much would it cost the family to move from New York to Florida?

Answers

1 ton = 2000 pounds

4* 2000 = 8000 pounds total

8000 * 0.60 = $4,800.00

it will cost $4,800 to move

Answer:

Step-by-step explanation:

1 ton = 2000 pounds

4* 2000 = 8000 pounds total

8000 * 0.60 = $4,800.00

it will cost $4,800 to move

what is 18 divided by negative 3

Answers

18 / -3 = -6

answer

negative 6 is 18 divided by negative 3

hope it helps

[tex]18/-3 = -6[/tex]

A negative divided by a positive concludes in a negative.
Check your work.

[tex]-6(-3) = 18[/tex]

A negative times a negative equals a positive.

a football team gain 2 yards on the first play ,losees 5 yards on the second play ,loses 3 yards on the third, and gains 4 on the the fourth play.what is the teams overall gain or loss for all four plays

Answers

Your Answer Is...

I'm having some trouble understanding, so I'll give you two types of answers just in case.

1st answer
________

Total gain: 6 yards.

Total loss: 8 yards.

2nd answer
_________

Overall yards: -2 yards.

I hope one of these were what you were looking for!
________________________________________

Glad I Could Help, And Good Luck!
—------------------------------------------------—
My Brainly Name: AnonymousGiantsFan

Find the probability of rolling an even number on a fair number cube and drawing a red card from a standard deck of cards.

Answers

Final answer:

The probability of rolling an even number on a fair number cube and drawing a red card from a standard deck of cards is 1/4.

Explanation:

The probability of rolling an even number on a fair number cube is 1/2 because there are three even numbers (2, 4, 6) out of a total of six possible outcomes (1, 2, 3, 4, 5, 6).

The probability of drawing a red card from a standard deck of cards is 26/52, or 1/2, because there are 26 red cards (13 hearts + 13 diamonds) out of a total of 52 cards in the deck.

To find the probability of both events happening, you multiply the probabilities together: (1/2) * (1/2) = 1/4.

Final answer:

The probability of rolling an even number on a six-sided die and drawing a red card from a standard deck of cards is 1/4. P(EM) refers to the probability of rolling a number that is both even and a multiple of three. P(E OR M) represents the probability of rolling a number that is either even or a multiple of three.

Explanation:

The probability of rolling an even number on a fair six-sided die is calculated by counting the even numbers (2, 4, 6) and dividing by the total number of sides, which gives us P(E) = 3/6 = 1/2. For drawing a red card from a standard deck of 52 playing cards, half of the cards are red, so P(Red) = 26/52 = 1/2. To find the combined probability of both independent events occurring, we multiply their respective probabilities: P(Even number and Red card) = P(E) × P(Red) = (1/2) × (1/2) = 1/4.

What does P(EM) mean in words?

P(EM) represents the probability of the intersection of two events, E and M, meaning the probability that the number rolled is both even and a multiple of three.

What does P(E OR M) mean in words?

P(E OR M) signifies the probability of the union of two events, E or M, which is the chance that the number rolled is either even or a multiple of three.

Jaidee made her trip to the train station and back. The trip there took two hours and the trip back took five hours. She averaged 30 mph faster on the trip there than on the return trip. What was Jaidee's average speed on the outbound trip?

Answers

The trip to the train station: t 1 = 2 h, v 1 = d / t 1, v 1 = d / 2, where d is the distance from the train station.
The trip back:
t 2 = 5 h, v 2 = d / t 2, v 2 = d / 5
Also: v 2 = v 1 - 30
d / 5 = d / 2 - 30
d / 2 - d / 5 = 30
0.3 d = 30
d = 30 : 0.3
d = 100 miles.
v 1 = 100 / 2 = 50 mph
We can prove it: v 2 = 50 - 30 = 20 mph
100 miles = 50 mph * 2 h = 20 mph * 5 h
Answer: Average speed on the ongoing trip was 50 mph.

Can some one please help me ?

Answers

110% =1.10

multiply the old price by that

2.85 *1.10 = 3.135

round to 3.14

new price is $3.14

The answer will be D

From the side view, a gymnastics mat forms a right triangle with other angles measuring 60° and 30°. The gymnastics mat extends 5 feet across the floor. How high is the mat off the ground?

Answers

Final answer:

To find the height of the mat off the ground, we can use trigonometry.

Explanation:

To find the height of the mat off the ground, we can use trigonometry. Since the angles of the right triangle formed by the mat are 60° and 30°, we can determine the height using the sine function. The sine of an angle is equal to the length of the side opposite the angle divided by the length of the hypotenuse.

In this case, the side opposite the 30° angle is the height of the mat, and the hypotenuse is the length of the mat, which is 5 feet. So, we have sin(30°) = height/5. Solving for the height, we get height = 5 * sin(30°) = 5 * 0.5 = 2.5 feet.

Therefore, the mat is 2.5 feet off the ground.

The correct answer is option B. The height of the gymnastics mat off the ground is [tex]\frac{5\sqrt{3}}{3}}[/tex] feet.

Given that the gymnastics mat extends 5 feet across the floor, this length corresponds to the side opposite the 60° angle in the right triangle.

Let's denote the length of the side opposite the 30° angle as [tex]$x$[/tex].

According to the properties of a 30-60-90 triangle, the side opposite the 60° angle is [tex]\sqrt{3}[/tex] times the side opposite the 30° angle, so we have:

[tex]\[ 5 = x\sqrt{3} \][/tex]

To find [tex]$x$[/tex], we divide both sides of the equation by [tex]$\sqrt{3}$[/tex]:

[tex]\[ x = \frac{5}{\sqrt{3}} \][/tex]

To rationalize the denominator, we multiply the numerator and the denominator by [tex]$\sqrt{3}$[/tex]:

[tex]\[ x = \frac{5\sqrt{3}}{3} \][/tex]

The complete question is:

From the side view, a gymnastics mat forms a right triangle with other angles measuring 60° and 30°. The gymnastics mat extends 5 feet across the floor. How high is the mat off the ground?

A. [tex]\frac{5}{2}[/tex] ft.

B. [tex]\frac{5\sqrt{3}}{3}[/tex] ft.

C. [tex]5\sqrt{3}}[/tex] ft.

D. 10 ft.

Rick and Ben had the same amount of money. Ben spent $138. In the end,Rick had 4 times as much as Ben.How much did Rick have?

Answers

At the start, Ben and Rick have the same amount of money. Let x represent that amount.

Rick's money: x
Ben's money: x

Then, Ben spends $138.

Rick's money: x
Ben's money: x - 138

At that point, Rick has 4 times the amount that Ben has.

x = 4(x - 138)
x = 4x - 552
552 = 3x
184 = x

Rick has $184.

whats the property in this equation 6 + 3= 3 +6

Answers

6 + 3= 3 + 6

commutative property of addition

hope it helps

it is communititve property of addition which means they just switch the number but the addition sign stays the same

"Exponents and Multiplication- Simplify. Your answer should only contain positive exponents." Please help quickly !!

Answers

the answer to number 4 is 2 to the 5th power

Which expression will equal a rational product even though it is multiplying an irrational number times another irrational number?

Answers

There're a lot of many irrational that meet the requirement. For example:
[tex]11/ \pi * \pi /7[/tex] where[tex]11/ \pi [/tex] and [tex] \pi /7[/tex] represent irrational numbers
Cancel [tex] \pi [/tex] out to get
11/7
[tex] \sqrt{2} * \sqrt{2}= \sqrt{4} =2=2/1[/tex] where[tex] \sqrt{2} [/tex] is known as irrational number. As a result, these are some examples of how an irrational number times another irrational number to get rational. Hope it help!

Answer:

Which expression will equal a rational product even though it is multiplying an irrational number times another irrational number?

What is the place value of 1 in 209.631?

Answers

The thoasandthes place the 3 would be in the hundrethes place and the 6 would be in the tenths. Sorry for any spelling mistakes

the place of one is ONES

Can someone plz help me with this math problem.

Answers

i dont know if this is what your looking for but i think it is

Surface area is much easier then area in this case.

You would just find the area of each side, and since you know the slant height, if you were to take each side of the pyramid as a 2D figure, the base would be 6.4 inches as stated and the height 6.1, because if you look at where the slant height is and basically took a side as a 2D figure, it would be the same as the height.

Pretty sure most people know how to find the area of a triangle, but it's base * height / 2, or 6.4 * 6.1 / 2, or 19.52. Since there are four of these triangle side things, just multiply 19.52 by 4, to get 78.08.

There's still a square base, so just multiply 6.4 by itself to get 40.96.

Now just add the two together to get 119.04.

math question down below

Answers

Set up a proportion

45/225= x/100

45/225 simplifies to 1/5.

1/5= x/100
5*20=100
1*20=20=x

Final answer: 20%

Your answer is 500% Here's why: 2. We assume, that x is the value we are looking for. If 100% equals 45, so we can write it down as 100%=45.
We know, that x% equals 225 of the output value, so we can write it down as x%=225.
Now we have two simple equations:
1) 100%=45
2) x%=225
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=45/225
Now we just have to solve the simple equation, and we will get the solution we are looking for.
Solution for 225 is what percent of 45

100%/x%=45/225
(100/x)*x=(45/225)*x - we multiply both sides of the equation by x
100=0.2*x - we divide both sides of the equation by (0.2) to get x
100/0.2=x
500=x
x=500

now we have:
225 is 500% of 45 That's your answer. Hope I helped!

A water tower is used to store fire fighting water at an industrial plant. The tank on top of the tower is in the shape of a cylinder with a height of 15 feet and a diameter of 7 feet. One cubic foot is approximately 7.5 gallons. how many gallons are in the tank if its 55% full?

Answers

V=hπr^2

(15π(3.5^2)ft^3)(55/100)(7.5gal/ft^3)≈2381.23 gal (to nearest hundredth of a gallon)

Which of the sets of ordered pairs represents a function?

A = {(−5, 5), (−2, 2), (2, −2), (5, −5)}

B = {(4, 2), (3, −2), (9, 4), (11, −3)}

Answers

(x,y)
if x repeats with a differnt y then it is not a function

A. none of them repeat, it's a function
B. none of them repeat, it's a function

both of them are functions

A factory employs 3 full-time workers and 6 part-time workers; the amount earned by each is: $36,000 for the production supervisor; $27,000 for the machine operator; $21,000 for the general assistant; a total of $50,000 for part-time staff. How much was the wage bill for the 3 full-time staff?

Answers

one made 36,000, one made 27,000 and one made 21,000. So, in total, the 3 full time staff members made $ 84,000.

The total wage for full-time workers is 84000$.

What is simplification?

Simplifying a value simply means finding it in its most basic form. To simplify the problem, we use a number of approaches, including PEMDAS and BODMAS. Aside from the value, the variables must also be made simpler.

Given, A factory employs 3 full-time workers and 6 part-time workers; the amount earned by each is $36,000 for the production supervisor; $27,000 for the machine operator; $21,000 for the general assistant; a total of $50,000 for part-time staff.

The Total wage for the full-time staff = 36000 + 27000 + 21000

The total wage for the full-time staff = 84000

Therefore 84000$ was the wage bill for the 3 full-time staff.

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plz help you have to turn your phone to the side

Answers

I agree with your choice

[tex]Perimeter=2\times Width+2\times Length[/tex]
[tex]P=2w+2l[/tex]
[tex]P=2(9)+2(x)[/tex]
[tex]P=18+2x[/tex]

On a coordinate grid, the coordinates of vertices P and Q for Polygon PQRS are P(3, 2) and Q(−3, 2). What is the length of Side PQ of the polygon?

Answers

The length of the side is the distance between the two points. The distance between two points is:

d^2=(x2-x1)^2+(y2-y1)^2, so in this case:

d^2=(-3-3)^2+(2-2)^2

d^2=(-6)^2+0^2

d^2=36

d=√36

d=6 units.

Note we could have just observed that the y-coordinate did not change and know that the distance between the two points or the length of the sides was just the change in x: 3--3=6 units.

The area of a triangle is 6 square feet. The base is 3 times its height. What is the base of the triangle?

Answers

The base of the triangle is 2.

Area=1/2 bh
6=1/2bh
12=bh
height is x, base 3x

12=3x^2
x^2=4

x=2
height = 2 feet

base = 3*2 = 6 feet

The area of a triangle is 6.75m2. If the base of the triangle is 3 m, what is the height of the triangle?

Answers

answer is given above

Which is colder 0°F or 6°F

Answers

because 6 is greater than 0, so 0F would be colder.

First right answer gets brain

Answers

I believe the answer is plane

You are watching your favorite soccer player on TV. Statistics show that he has a 37% chance of scoring a goal each time he shoots. He shoots twice. What is the probability that he scores a goal both times?

Answers

Likely and unlikely is the answer

a certain triangle has a 30 degree angle and a 60 degree angle. which must be a true statement about the triangle

Answers

It is a right triangle (90 degrees is the other angle)

Simplify (9.5)(−2)(−5).

Answers

So you basically just multiply all of them
You get 95
hope this helps:)

(9.5)(-2)(-5)

All you have to do is multiply them :)

{(9.5)(-2) · (-5)}

Simplify.

(-19) · (-5)

Simplify.

95

~Hope I helped!~

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