Four playful mathematicians were eating lunch together at an outdoor cafe. They noticed a diamond-encrusted Rolex had been left behind at the table next to them, so they quickly looked around for the person who had vacated the table. They saw the owner of the watch driving away. "Quick, get the license plate!" urged one of the mathematicians, seeing that it was only a four-digit number.

When the car had disappeared around the corner, they put together these characteristics they'd noticed about the number:

The first said, "One of the digits is neither prime nor composite."
The second contributed, "The digit in the hundreds place is three times the digit in the thousands place."
The third added, "The digit in the ones place is four times greater than the digit in the tens place."
The fourth piped up with the last bit of information. "The smallest prime number is in the thousands place. We have enough information to help us locate the owner of the watch."
What number did the four playful mathematicians see on the license plate?

Answers

Answer 1

Answer: The licence plate number would be 2614

Step-by-step explanation:

Answer 2

The number 2614 four playful mathematicians see on the licence plate.

What is number?

A number is a mathematical entity that can be used to count, measure, or name things. For an example, 1, 2, 56 etc. are the numbers.

We have some information about the four-digit number:

One of the digits is neither prime nor composite.The digit in the hundreds place is three times the digit in the thousands place.The digit in the ones place is four times greater than the digit in the tens place.The smallest prime number is in the thousands place.

Based on the information given, the number would be 2614 which follows the above conditions.

Thus, the number 2614 four playful mathematicians see on the licence plate.

Learn more about the number here:

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#SPJ2


Related Questions

A researcher asked five of his doctor friends if they thought the new Brand X medicine that he
developed was effective. Four responded "yes." The researcher used the results to write a TV
advertisement claiming that "4 out of 5 doctors prefer Brand X medicine." Is this a valid inference?
Explain.
Use pencil and paper. Explain all of the factors that are necessary for an inference to be valid.
Is the inference valid? Explain. Choose the correct answer below.
OA. No, because the doctors asked are not a representative sample of the population of doctors.
OB. No, because 4 doctors said yes out of 9 who were asked.
OC. Yes, because 4 doctors said yes out of 5 who were asked.
OD. Yes, because the doctors asked are a representative sample of the population of doctors.

Answers

Answer:

OA

Step-by-step explanation:

First of all, this is not math its common sense

4/5 is just an ifference. in order to prove this, the general term would be asking a factor of the doctors such as 10, and then ask.

To prove this , use algebra.

4x/5x

Shorten to 1

0.8x/1x

So you would theoretically be getting infinite amounts of doctors. but still 4/5 of them will say yes.

This is false because N0 is a cardinal number system where is omega is a ordinal.

asking five people is indefinitely not enough to determine a representatoive sample of every doctor in the world.

Find the probability of picking a diamond from a standard deck of playing cards which has 13 cards in each of four suits: spades, hearts, diamonds and clubs. Enter your answer as a simplified fraction.

Answers

Answer:

1/4

Step-by-step explanation:

____________________

Answer:

1/4 is the anwser

Step-by-step explanation:

Find the mean, median mode and range of: 75, 80, 60, 90, 85, 80, -7, 90, 70, 65

Answers

Answer:

Mean: 68.8.

Median: 77.5

Mode: 80, 90

Step-by-step explanation:

-7 + 60 + 65 + 70 + 75 + 80 + 80 + 85 + 90 + 90 = 688. Then divide by 10 because there are 10 numbers.

-7 + 60 + 65 + 70 + 75 + 80 + 80 + 85 + 90 + 90

(75, 80) are the middle numbers, so add them both, then divide by 2.

80, 90 appear more than the other numbers.

Range is highest - lowest. 90 - (-7) = 97, or it could be 83. I don't know.

The mean is 68.8

The median is 77.5

The mode is 80 and 90

The range is 97

Hopefully I didn't answer too late.

Name a set of vertical angles in the image below:

A. 2 and 3
B. 1 & 3
C. 1 & 4
D. 4 & 3

Answers

Answer:  B) 1 & 3

Explanation:

Vertical angles form when we have an X shape like this. They are opposite one another and always congruent. Angles 2 and 4 is the other set of vertical angles.

Answer:

B. 1 & 3

Step-by-step explanation:

The vertical angles are pairs of opposite angles made by 2 intersecting lines. Here, 1 and 3 are the same length, and are on opposite sides.

please help me with the questions below

Answers

Answer:

2) 3/4 of the girls did not have 1 piece bathing suits

3) 4/6 were at the kiddie pool

4) 1/3 was boys

sorry if this was wrong

3/4 of the girls did not have a bathing suit. Since 1/4 of the girls did that would leave 3 out of the four left.

Write an equation that represents the line. Use exact numbers.

Answers

y = 6/5x -5

6/5 is your slope. Slope is always rise over run or y over x. -5 is the y- intercept. What is y when x is zero.

Y= 6/5x -5
The slope/change is 6/5 and the y-intercept is -5 which is where the line hits the y-axis

help pleasee!!!!!!!!

Answers

Answer:

14.2 ounce bottle

Step-by-step explanation:

the 14.2 ounce bottle Is 2 cents cheaper per ounce

It’s 14.2 once bottle

Luciana is starting a two-week social media campaign to attract new subscribers to BlastOn, a music website for teens. She has the following data from her last campaign to help plan her strategy.

Based on this data, what should be Luciana’s strategy for the new campaign?

If your answer is incomplete or confusing PLEASE DO NOT write the answer down. Or YOU will be REPORTED!!!!

Answers

Answer:

Luciana should post 5 social media posts per day.

Step-by-step explanation:

When Luciana posts 5 posts in a day, she gains more subscribers than any other amount of posts.

hope this was useful

Find the volume of the rectangular prism


Please help! Due by 12:00 am!

Answers

Answer: 1.792 m

Step-by-step explanation: multiply all dimensions of the figure: length x width x height; 0.7 x 0.8 x 3.2

The Awnser to this question is :1.792m

can someone help with this simple question? giving out brainliest!

Answers

Rory would finish reading first, I’ve done the math for you ^^
Rory would finish first!
To find the amount of pages they read you divide the amount of pages by the time
140/5 = 28
200/7.5 = 26.6
To find how long it would take them you take the number of pages they need and divide it by there average amount of pages per hour
350/28 = 12.5 hrs
350/26.6 =13.2 hrs
Therefore, Rory finished first

The length of the minute hand of a clock is 11cm. What is the distance covered by the minute hand in 1 hour ?

69.1cm
or
34.54 cm

Answers

Step-by-step explanation:

[tex]\huge\mathfrak\pink{Answer✓✓.. ***°°°} \\ \\ \huge\mathfrak\green{69.1 \: cm} \\ \\ \huge\mathcal\purple{hope \: it \: helps \: ***}[/tex]

69.1 :) hope this helps

Can I get help...with steps plzzz

Answers

Answer:

A)

Step-by-step explanation:

For f, x would equal 0. 0/2 would equal 2 since it has no value.

Hope this helps!

-kiniwih426

it should be a.f(x)=x/2.

A team of runners is needed to run a 1/4 -mile relay race. If each runner must run
1/16 mile, how many runners will be needed?

Answers

Answer:

4 runners

Step-by-step explanation:

I divided 1/4 by 1/16 and got 4 as an answer.

Hope this helps :)

(Correct me if i am wrong)

4 runners
Hope this helps! :)

Simplify the following expressions.
8x + 6y + 5x + 4y

Answers

Answer:

68y

Step-by-step explanation:

the answer is 13x+10y

ASAP! MATH WIZZES PLEASE HELP!! ALGEBRA 1
Factor the following trinomials:
1) x^2 + 10x + 16
2) x^2 + 21x + 20
3) x^2 - 6x + 8

Answers

Step-by-step explanation:

1) (x+2)(x+8)

2) (x+1)(x+20)

3) (x-2)(x-4)

Answer:

1) (x+2)(x+8)

2) (x+1)(x+20)

3) (x-2)(x-4)

Step-by-step explanation:

ASAP! Adrians cat ate 1/3 of a bag of cat treats in September and 1/3 of the same bag of treats in October. What part of the bag of cat treats did Adrians cat eat in both months?

Answers

he ate 2/3 of the cat treats in both months

factor the polynomial function over the complex numbers. f(x) = x^4 + 3x^2 - 4? WILL GIVE BRAINLIEST AND 50 POINTS (ALGEBRA 2) NEED ANSWER ASAP

Answers

Answer:

(x+1)(x−1)(x+2i)(x−2i)

Step-by-step explanation:

I saw this on my assignment, study guide, and test. It was correct and checked by my teacher.

Answer:

(x+1)(x−1)(x+2i)(x−2i)

Step-by-step explanation:

Match these items.

1. a number to be multiplied
GCF
2. 5
factor
3. 6
prime number
4. greatest common factor
LCM
5. least common multiple
composite number

Answers

Answer:

gcf gose with 4 lcm gose with 5 5 is a prime number wich leaves 5 to go to 1

I need this done it’s due today

Answers

Answer: easyy for me tho, im good at math, but legit nothing else :/

Step-by-step explanation:

its 250 inches squared

Do you know the answer to my question?

Answer: 250in^2

Step-by-step explanation:you would times them all by each other

If 30.s g of milk contains 18 C, how many
Calories will you consume by drinking a glass
of milk (244 g)?

Answers

Answer:

the answer would be (244/30.5) x 18, so the answer should be 144!

Step-by-step explanation:

Put me the brainest. thanks

if 30.5 g contains 18 cal then
30.5÷18 would tell how much calories are in 1 g which is 1.6944.
therefore to find how much would be in 244 g you would multiply 244 by 1.6944 which would be 413.4 calories

Plz help will be marked BRAINLIEST!!
Thanks man!

Answers

Answ

b

Step-by-step explanation:

pls mark me as brainliest

(adding more to this but since the question only asked for one answer this should be enough!)

Step-by-step explanation:

a : 59

b : 59

c : 121

d : 121

f : 59

g : 90

h : 59

j : 31

k : 31 (everything in bold is uncited knowledge from me doing this years ago :,)

m : 90

so g must = 90 because not only is it in a right triangle, but also the corner of the rectangle. this goes for hk, m and jf, they all must add up to 90.

given a = 59 we can also find d from this, as it must add up to 180.

then adding g [90] + a [59] we get 149, which we then subtract from 180 to get j.

we get 31 from that and can now subtract 90 from that to find f, which is also 59, so f=59.

BRAINLIEST IF CORRECT

Answers

Step-by-step explanation:

They have equal ratio of yellow

Answer:

spinner b

Step-by-step explanation:

I really extreme help

Answers

A because there is a dot on 0 which indicating the starting point and then the arrows are pointing to the left towards the negative side and stop at negative 6

Find the volume of the rectangular prism


Any person that answers quickly I will say Brainly just make sure it is right!

Answers

Answer:

67 1/2 cm³

Step-by-step explanation:

To find the volume of 3-D shapes, multiply the height, length, and width. This works with most equations.

Answer is 67 1/2 cm^3

what angles are vertical to 8 ? Select all that apply.

Answers

Answer:

The answer is 6

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

angle 6

Step-by-step explanation:

vertically opposite to angle 8 is angle 6.

Vertical Angles are the angles opposite each other when two lines cross. "Vertical" in this case means they share the same Vertex (corner point), not the usual meaning of up-down.

Alexander’s parents are saving for his college fund. They put $8,000 into an interest-bearing account with an annual compound interest rate of 4.5%.

Alexander’s parents want to determine what the balance of his college fund account will be after 12 years.

Which formula would be used for this situation?
A = (8,000 + 0.045)12
A = 8,000(1 + 0.045)12
A = 8,000(1 + 0.12)4.5
A = 8,000 · 0.045 · 12

Answers

Answer:

a=8,000(1+0.12)4.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

A = 8000(1+0.045)^2

(note: the last number in the given answer choices should be in superscript, or preceded by ^ to indicate exponent.)

Just asking but are these correct?

Answers

Answer:

yesss

Step-by-step explanation:

Yessssssss they areeee

Pls name a set of vertical angles in the image below:

Answers

Answer:

1 and 3 ; 2 and 4

Step-by-step explanation:

Vertical angles are two angles that have the same vertex. They are congruent

Answer:

1 and 3 are vertical angles

2 and 4 are vertical angles

Step-by-step explanation:

Vertical angles are angles formed by the same lines but are opposite each other

1 and 3 are vertical angles

2 and 4 are vertical angles

can someone help with these two questions? dont worry if its wrong!

Answers

Answer:

1. 8 cups of flour2. 26 kids/students

________________________________

1. If one batch of cookies requires two and half cups of flour. Then we'll have to multiply it into three and a half.

Solution:

2 and half cups of flour = one batch of cookies

8 cups of flour = three batches of cookies

2. If eight kids get to go to the water park for $60. Do the same as i did on the first one. Just multiply them.

Solution:

$60 = eight kids

So every kids has to pay $7.5 to go to water park.

$7.5 × 8 = $60

$195 = 26 kids

$7.5 × 26 = $195

________________________________

Help will give brainlest.

Answers

The correct answer is 40, so N=40
Definitely will be 40
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