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



Ms. Harris goes on a road trip with her fellow colleagues for spring break. 10 points
Ms. Harris is trying to estimate how much gas it will to drive 600 miles.
Ms. Harris's car typically gets 29 miles per gallon of gas. How many
gallons will Ms. Harris need to complete her 600 miles of travel.


O 20 gallons

O 19 gallons

O 21 gallons

O 22 gallons

Answers

Answer:

21 gallons

Step-by-step explanation:

600 = 29g

600/29 = g

20.689 = g

Round up

21 = g

Answer:

21 gallons

Step-by-step explanation:when you do 600/29 you get 20.68 if you round that up you get 21

Determine the measurement of the unknown angle measures in the given figure.

Answers

Answer:

To determine to measure of the unknown angle, be sure to use the total sum of 180°. If two angles are given, add them together and then subtract from 180°. If two angles are the same and unknown, subtract the known angle from 180° and then divide by 2.

Step-by-step explanation:

Tell me how to divide

Answers

Answer:

I'll try to give u an example the best way possible

Step-by-step explanation:

1) we are going to solve this division problem (84/7).

2) Divide 8 by 7 to get 1. Place this on top of the 8 and the division sign.

3) Multiply 1 and 7 to get 7. Place this under the 8.

4) Subtract 7 from 8 to get 1.

5) Carry down the 4.

6) Divide 14 by 7 to get 2. Place this on top of the 4 and the division sign.

7) Multiply 2 by 7 to get 14.

8) Subtract 14 from 14 to get 0.

The answer is 12!

use the triangle inequality theorem

Answers

Answer:

Step-by-step explanation:

B) 9<x<5

X has to be more than 9.  9+8=17, which would be a straight line.

X has to be less than 25.  17+8=25, which would be a straight line.

Answer:

9 < x < 25

Step-by-step explanation:

The length of a side of a triangle must be greater than the difference between the lengths of the other sides and less than the sum of the lengths of other sides.

x must be greater than the difference between 17 and 8.

17 - 8 = 9

x > 9

x must be less than the sum of 17 and 8.

x < 17 + 8

x < 25

When you put the two inequalities above together, you get:

9 < x < 25

how do I do this? can someone please help me

Answers

Answer:

(-4,3)

Step-by-step explanation:

Answer:

P = -4, 3

Step-by-step explanation:

Locate the x-axis (horizontal) location of point P, starting from zero

Point P's x-axis = -4

Now locate the y-axis (vertical) location of point P, starting from zero

Point P's y-axis = 3

Combine the two axes in a coordinate equation.

Point P = (-4, 3)

Note that zero is located at the intersection of the two axes.

Find the Unit Rate on a 5-gallon bucket of paint that costs $68.75

Answers

Answer:

$13.75 per gallon

Step-by-step explanation:

To solve for any unit rate you use

[tex]\frac{1}{x} =\frac{5}{68.75}[/tex]

Cross multiply.

So 68.75 = 5x

Divide both sides by 5 to get x alone.

13.75 = x

Therefore 1 gallon equals $13.75

Veronica bought a shirt and a sweater for a total price of $65. The price of the sweater was $2 more than twice the price of
the shirt. What was the price of the shirt?

Answers

Answer: 32.5

Step-by-step explanation: you divide it.


1. Always thinking about food, Scooby-Doo and his crew went out to eat. Their total bill was
about $82. If the group wanted to leave a 20% tip, how much will the tip cost?

Answers

Answer:

$16.40 tip

Step-by-step explanation:

82 * .20 = 16.40

I need help with 2,3,and 4!!!!!!!!

Answers

Answer:

Step-by-step explanation:

0_0 ni idea yo hablo español y me aparece todo en ingles

Which equation shows a proportional relationship between x and y a) y=2×+1 b) y+4×=8 c) y=5×

Answers

If our options to answer this from are:
• y=2x+1
• y+4x=8
• y=5x
Then to find a proportional relationship represented by an equation, we look for an option where its y=#x, so we can REMOVE option B. And so your answer is C. as y=5x is a proportional relationship between x and y since its not adding or subtracting a number from either y or x.

Identify the constant of proportionality from the graph. PLEASE HELP AND HURRY!!












Answers

Answer: It’s d. he’s right just to confirm :)

Step-by-step explanation:

What does the expression 1.49p + 3.49p represent?

what does it represent

Answers

I believe it’s 4.98p?

Which integer is 55−−√ closest to?

Answers

Answer:

50--

Step-by-step explanation:

​The radius of the circle shown below is 3 inches.
​What is the area of this circle, in square inches?
​​

Answers

Answer:

the area = 28.27 or you can write the answer out as 28.2744 or also 28.27433

Step-by-step explanation:

start with what we know. the formula for solving this is A=pi R squared

so, area= pi (3.1416)

then, multiply that by the radius given, which is 3.

So, 9.4248 × 3 = 28.2744 square inches

or 28.27 sq.in.

HOPE THIS HELPS... HAVE A GREAT DAY!!

Your friend shows you the problem below. He says that the Associative Property allows you
to change the order in which you complete
two operations. Is your friend correct? Explain.

Answers

Answer:

Your friend is incorrect

Step-by-step explanation:

(a + b) + c = a + (b + c) .... associative property of addition

(ab)c = a(bc) .... associative property of multiplication

(a + b)c = a + (bc) .... Incorrect

(ab) + c = a(b + c) .... Incorrect


If the dimensions of a rectangular playground can be represented as (4x - 5) and (3x + 7), then what is the
area of the playground

Answers

Answer:

6x[tex]x^{2}[/tex] + 41x + 48

Step-by-step explanation:

Answer:

10m and 45m

Step-by-step explanation:

Just did it

HAVING A BAD DAY PLEASEEEE HELPPPP
Jasmine drives every morning to her office that is 12 miles from her home.
a

If Jasmine's average driving speed is s mph, how many hours does it take her to drive from her home to the office?

Answers

Answer:

the answer is 48

Step-by-step explanation:

you take the 12 and multiply it by s then you add the distance to the office then multiply those together

Answer:

12/s

Step-by-step explanation:

Question 2
11 + 5x = 5x + 20

Answers

Answer:

11+5x=5x+20

We move all terms to the left:

11+5x-(5x+20)=0

We get rid of parentheses

5x-5x-20+11=0

We add all the numbers together, and all the variables

-9!=0

There is no solution for this equation

Step-by-step explanation:

I saw it from Google

What is the solution set of |-x| = -10?

(10)
7-10)
{-10, 10)
no solution

Answers

Answer:

{-10, 10)

Step-by-step explanation:

| | - means to only take the number inside, not the sign

x=-10 or 10

Answer:

i dont understand what you want me to answer

Step-by-step explanation:

30 = -5(6n + 6) how do I show my WORK????

Answers

Answer:

- 2

Step-by-step explanation:

Step 1:

30 = - 5 ( 6n + 6 )        Equation

Step 2:

30 = - 30n - 30      Multiply

Step 3:

60 = - 30n      Add 30 on both sides

Step 4:

n = 60 ÷ - 30    Divide

Answer:

n = - 2

Hope This Helps :)

what is the answer 8/2x4-(3+1)
to this problem

Answers

Answer:

14

Step-by-step explanation:

8/2 × 4 - (3+1)

Using the order of operation, PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction), we can figure out the answer to this expression.

8/2 × 4 - (2)

4 × 4 - (2)

16 - 2

14

Helppp I need help ASAP

Answers

Answer:

it would be B

Step-by-step explanation:

the ratio of tomatoes to cheese slices is 18:4 1/2 so that would be 25% of tomatoes.

I have 40 softballs i give 5 softballs to each player. How many players can i give softballs to so that i have at most 10 softballs left

Answers

Answer:

6

Step-by-step explanation:

5 to each players means you have 6 players and then you have 10 left for yourself

Answer:

You can hand out 5 softballs to 6 players.

Step-by-step explanation:

In order to solve this problem, you need to divide 30 balls to each player (In order to have 10 left.) 30 divided by 5 is 6, so you can only hand out 5 balls to 6 players in order to have 10 left out of 40.

A function in which each yvalue has only one corresponding x-value is called
a:
A. one-to-one function.
B. linear function.
o
c. many-to-one function.
D. nonlinear function.


Answers

Answer:

one to one function

Step-by-step explanation:

-5
-4
-3
-2
-1
0 1 2
3
4
u

Answers

Answer:

Step-by-step explanation:

Can you rephrase the question.

6th grade math help me plzzzzz

Answers

Answer: -1

3 + (-4) = -1

Watch help video
Given mn, find the value of x.

Answers

Answer:

x = 117°

Step-by-step explanation:

x and 63° are "Same Side Exterior Angles". These angles are supplementary.

Hence: x + 63 = 180

x = 180 - 63

x = 117°

A grocery store sells 6 ears of corn for $3.54. Which of the fllowing shows how to find the amount of money that each ear of corn costs at the grocery store?

a
$3.54 x 6
b
6 ÷ $3.54
c
6 - $3.54
d
$3.54 ÷ 6

Answers

Answer: B: 6÷3.54

Step-by-step explanation: Since they sold 6 ears and made $3.54 total, you would have to divide 6 by $3.54 to determine the cost of each ear.

I WILL GIVE BRAINILY (20 PTS)
There are 15 questions, and John got an 84% on the quiz, how many questions did John get right and how many wrong?

Answers

Answer:

John got 13 questions right and 2 questions wrong.

Step-by-step explanation:

15 questions right equals 100%.

100 {divided by} 15 = % for each question right

Each question is worth (100 diveded by 15) 6.7%.

84% {diveded by} 6.7% = 12.5

100% - 84% = 16%

16% {divided by} 6.7% = 2.38

Because 12.5 has a higher dicimle value than 2.38 and when the amount he got right is added to the amount he got wrong it needs to equal 15, 12.5 becomes 13 and 2.38 becomes 2.

Answer:

[tex]\frac{n}{15} =\frac{84}{100}[/tex]

[tex]n = \frac{21}{25}*5[/tex]

[tex]n = \frac{21*15}{25}[/tex]

[tex]n = \frac{315}{25}[/tex]

[tex]n = \frac{63}{5} or 12.6[/tex]

Henry's Jewelry Store receives a shipment of 500 jewelry pieces, but 15 pieces are damaged. At this rate, if Henry's Jewelry Store places an order for 5,500 jewelry pieces, how many should they expect to be damaged? They should expect pieces of jewelry to be damaged.

Answers

Answer:

They should expect 165 damaged pieces in 5500 jewelry pieces

Step-by-step explanation:

The first thing we need to do is to get some metrics to measure the rate at which the damaged jewelry is seen.

We can use 15 pieces of jewelry that are damaged for every 500 ordered.

Once this is done, we can then use this to estimate how many pieces of jewelry are damaged if 5,500 are ordered.

We now need to know how many sets of 500 pieces of Jewelry are in 5,500.

This is 5,500/ 500 = 11 sets

Therefore, all 11 sets will have 15 damaged pieces of jewelry each. The total number of damaged jewelry pieces will be 15 X 11 = 165 damaged pieces

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