Alice and Bob are playing the Smallest Positive Integer Game. Alice says, "My number is 24." Bob says, "What kind of silly smallest number is that? Every prime factor of your number is also a prime factor of my number." What is the smallest possible number that Bob could have?

Answers

Answer 1

Answer:

6

Step-by-step explanation:

Alcumus Explanation: The prime factorization of 24 is 2^3 times 3, so 2 and 3 have to be prime factors of Bob's number as well. The smallest possible number is when each the exponents of both of them is 1, giving 2 times 3= 6.

Hope it helped!


Related Questions

1/2 x + 3 = 2/3 x + 1​

Answers

Answer:

x = 12

Step-by-step explanation:

Find the measure of ∠7

Given:
∠1 is a right angle
∠3 = 37°
∠8 = 62°

Options:
A) 53°

B) 65°

C) 105°

D) 127°

E) 245°

Answers

Answer with step-by-step explanation:

C: 105°

Look at ∠7. It is slightly not 90°. The closest answer to 90° is 105°. (Note: This is just an educated guess, but I'm not 100% sure)

Please... I really need help​

Answers

hope it's right that is what I thought good luck

A supermarket offers 8 bags of pretzels for $10. What is the cost of 1 bags of pretzels?

Answers

Answer:

$1.25

Step-by-step explanation:

Answer:

$1.25

Step-by-step explanation:

If 8 bags are $10, 1 bag will be 10/8.

10/8=1.25

1 bag of pretzels costs $1.25.

Hope this helps!! Have a great day C:

helpp asappp it’s just one question!!!

Answers

Not only she buying candy she getting diabetes
The answer is 9 pounds

Parallelogram JKLM is reflected across a horizontal line through its center and then translated down and to the left to produce parallelogram QTSR
K
110°
R
S
9 ft
70°
M 12 ft
L
T
m
What is true about the angles and side lengths of parallelogram QTSR?
Enter the correct answers in the boxes

Answers

Answer:

[tex]\huge\boxed{Q = 110 \textdegree, \ ST = 9 \ \text{ft}}[/tex]

Step-by-step explanation:

When we reflect and transform a figure, the angle lengths nor the side lengths are touched. The side length only changes if we dilate or stretch the figure, and the angle length only changes if we stretch the figure.

Therefore, we know the information is going to be the exact same. We just have to figure out what corresponds to what from JKLM to QTSR.

If we reflect a figure across a horizontal reflection line through its center, the figure will just flip sides. M will be J, L will be K, etc.

When we translate this down, nothing changes except its position. So we can pretend these two shapes are right on top of each other for now.

When we move these right on top of each other, we can see that Angle J overlaps with Angle Q. Since they don't have any weird intersects, we know that angle J will be equal to Angle Q. Since we already know J is 110°, we know Q is also 110°.

When we move it on top, we also see that KL overlaps with ST perfectly. Since we know KL is 9, that must mean ST is also 9.

Hope this helped!

3.
Use the given information to draw a diagram and then prove the statement.
GIVEN: NO =PQ, M is the midpoint of NO. M is the midpoint of PQ.
PROVE: NM = PM

Pls help I don’t understand this

Answers

Step-by-step explanation:

NO and PQ are congruent segments (have the same length), and both have the same midpoint M.

NO ≅ PQ, given.

NM ≅ ½ NO, definition of midpoint.

PM ≅ ½ PQ, definition of midpoint.

PM ≅ ½ NO, substitution.

PM ≅ NM, substitution.

3) The Blackweld family is shopping for school uniforms. Pants cost $5
more than skirts. Six skirts cost $4 less than 4 pairs of pants. How much
does 1 skirt cost?

Answers

Answer:

$8

Step-by-step explanation:

Let the pants cost = pSkirts cost = s

We got equations

p = s + 56s = 4p - 4

Substituting p and solving for s

6s = 4(s + 5) - 46s = 4s + 20 - 46s - 4s = 162s = 16s = $8


The following angle measures could form a triangle
(a)
90° , 37°, 53°
A True
B False


(b)
Explain why the angle measures form a triangle or do not form a triangle.

Answers

A) True

B) adding the angles makes 180°, which is the correct number for a triangle

2nd brainliest for the day
answer
⬇⬇​

Answers

Answer:

..............

...............

Step-by-step explanation:

Answer:

?

Step-by-step explanation:

wow free points thanks

A half-marathon is 13.1 miles long. There is a water station every 1 1/3 miles along the race trail and at the finish line. How many water stations are needed for the half-marathon?
choices
15
13
10
11

Answers

Answer:

10 water stations are needed

Step-by-step explanation:

To get the number of water- station needed, we simply divide the total length of the half marathon by the distance where we can find a water station

mathematically,

that would be 13.1 divided by 1 1/3

= 13.1 divided by 4/3

= 13.1 * 3/4 = 9.825 which is approximately 10

Anybody wanna help?please

Answers

Answer:

ilysm sm

Step-by-step explanation:

I hope u get the answer I need points IM SO SORRY

Please help I’ll give brainiest!!

Answers

Answer: Im pretty sure its a.

Step-by-step explanation:

3x + 7 = -8
Help me!

Answers

Answer: x=-5

First, subtract 7 from both sides.
That equals -15.
Then, you have “3x=-15”
All you do TJEM is divide -15 from 3x, which equals -5
Your goal is to have x by itself so
3x + 7 = -8
Subtract 7 by both side leave you with
3x = -15
Then you divide 3 both side leave you with
X = -5
The answer is x = -5
Hope this help:)

What is the simplified form of VT VVV ?

Answers

Answer:no

Step-by-step explanation:

Answer:

what that dude said

Step-by-step explanation:

Solve for X
Your answer must be simplified
x-8<-1​

Answers

Answer:

x=7

Step-by-step explanation:

x-8=-1, x-8+8=-1+8,-1+8=7

Answer:

x<7

Step-by-step explanation:

What is another way to describe a dilation

size change

flip

turn

slide

Answers

Answer:

Size change

Step-by-step explanation:

You just make it proportionally smaller

Answer: size change

Step-by-step explanation:

size change

For every 15 students who run track, there are 7 students who play baseball. There are 112 more students who run track than play baseball. How many students run track? How many students play baseball? Select your answers from the drop-down lists.

Answers

Answer:

210 students run track and 98 students play baseball

Step-by-step explanation:

For every 15 students who run track there are 7 students who play baseball

There are 112 more students who run track than play baseball

Let y represent the various groups of students

15 × y= 15y

7 × y= 7y

15y - 7y = 112

8y = 112

Divide both side by the coefficient of y which is 8

8y/8 = 112/8

y= 14

Therefore the number of students that run track is

= 15 × 14

= 210

The number of student that play baseball is

= 7 × 14

= 98

Hence 210 students run track and 98 students play baseball

Find the value of z.
5z + 4°
29

Answers

z = 5

5x5 is 25 and 25 +4 is 29

CAN SOMEONE HELP ME WITH THIS!!! IT IS TIMED

Answers

Answer: 2

Step-by-step explanation: Because 2 makes the denominator 0, which makes the entire thing undefined

Kaley reads 12 1/4 pages in 1/3 hour

Answers

i’m guessing the questions is how many pages she can read in an hour?
the answer for that is
• 36.75
hope this helps x
36.75
I think .
Explanation: sorry if it’s wrong

what do you think proof is

Answers

Answer:

proof is where you have something to explain/show what you saw to people when they don't believe you.

A shipping company makes a display to show how many cubes can fit into a large box. Each cube has sides of 2 inches.The large box has sides of 10 inches. Use exponents to express the volume of each cub we and the large box. What is the volume of cube? What is the volume of large box?

Answers

Answer:

125cubes

Step-by-step explanation:

In this problem, we will determine the volume of the small cubes

and also we will determine the volume of the cube

given that

Each cube has sides of 2 inches.

the volume of the cube is =2^3= 2*2*2= 8inch^3

also,

The large box has sides of 10 inches.

the volume of the box is= 10^3=0*10*10= 1000inch^3

Find out how many cubes will fit in the box

1000/8=125cubes

There are 125 cubes in a box

Adas has lunch cost 14.32 dollars C hands the cashier $20 about how much change will Ada receive.

Answers

Answer:

$5.68

Step-by-step explanation:

20-14.32=5.68

If you need to round, please round accordingly.

Answer:

$5.68

Step-by-step explanation:

The time, in seconds, that it takes a pendulum to swing back and forth is modeled by the equation below. f (l) = 2 pi StartRoot StartFraction l Over 32 EndFraction EndRoot, where l is the length of the pendulum in feet What is the approximate length of a pendulum that takes 2.4 pi seconds to swing back and forth?

Answers

Answer:

46.08 feet.

Step-by-step explanation:

Given that, for length, [tex]l[/tex] feet, the time period, [tex]f(l)[/tex], of the pendulum is

[tex]f(l)=2\pi\sqrt{\frac{l}{32}}[/tex].

As the time period equals the time taken by the pendulum in one back and forth motion, so, actually, the given [tex]2.4\pi[/tex] seconds to swing back and forth is the time period.

Let [tex]l_0[/tex] feet be the length of the pendulum for the time period [tex]2.4\pi[/tex] seconds, so

[tex]f(l_0)=2.4\pi[/tex]

[tex]\Rightarrow 2\pi\sqrt{\frac{l_0}{32}}=2.4\pi[/tex]

[tex]\Rightarrow \sqrt{\frac{l_)}{32}}=1.2[/tex]

[tex]\Rightarrow \frac{l_0}{32}=(1.2)^2[/tex] [squaring on both the sides]

[tex]\Rightarrow l_0=1.44\times32[/tex]

[tex]\Rightarrow l_0=46.08[/tex]

Hence, the approximate length of a pendulum that takes [tex]2.4 \pi[/tex] seconds to swing back and forth is 46.08 feet.

Answer:

the answer is d on edge 2020

Step-by-step explanation:

Multiple Choice!

Which relation is symmetric with respect to the x-axis?

Answers

Option D, y = 3 is the correct answer

What’s the answer and the step by step to solve for it

Answers

Divide 850 by 2 = 425 $ for each person
Divide 425 by 2 = 212.5 $
Explanation: I divided the money to 4 quarters.

The first person will pay 3/2 or 150% of the money then
425+212.5= 637.5 $

And the second person will pay
850-637.5= 212.5 $ which is a quarter of the money .
I hope this helped :)

Solve the equation for the given variable.
-2 (x + 6) = 8

Answers

Answer:

x = -10

Step-by-step explanation:

-2 (x + 6) = 8

-2x + -12 = 8

+12 +12

-2x = 20

÷ -2 ÷ -2

x = -10

Answer:
x=10

STEP BY STEP EXPLANATION:

1. distribute -2(x+6) to get a total of -2x+-12
2. Add 12 on both sides and you’re left with -2x=20
3. Now you divide -2 on both sides.., now you’re left with x=10

Solve for x 3(x + 1) = −2(x − 1) − 4

Answers

Answer:

x = -1

Step-by-step explanation:

distribute:

3x + 3 = -2 (x -1) -4

distribute:

3x + 3 = -2x + 2 - 4

calculate difference:

3x + 3 = -2x - 2

move variable to left and change sign

3x + 2x + 3 = -2

3x + 2x = 2 - 3

collect like terms

5x = -2 - 3

5x = -5

x = -1

Answer:

x = -1

Step-by-step explanation:

3 ( x + 1 ) = -2 ( x - 1 ) - 4

distibute

3x + 3 = -2x + 2 - 4

simplify

3x + 3 = -2x - 2

inverse operations

3x + 3 = -2x - 2

+2x        +2x

5x + 3 = -2

    -3      -3

5x = -5

/5     /5

x = -1

WILL GIVE YOU BRAINLIST
Ashley is putting together a square bulletin board for her new room. The area of the bulletin board is 196cm^2 . What is the length of each side of the bulletin board? shape is square

Answers

Answer:

14

Step-by-step explanation:

Area of square is side times side. So, find the square root of 196.

Answer: The answer is 14

Step-by-step explanation: If you sqaure root 196 you will get 14

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