Find the smallest positive four-digit number that is divisible by each of the four smallest prime numbers.

Answers

Answer 1

Answer:

It might be 1,050. Also can't believe thats a college question-

It was very easy to solve! Help from an 8th grader here.

Step-by-step explanation:

Answer 2

The smallest four-digit number that is divisible by each of the four smallest prime numbers is 1050.

What is the divisibility rule?

The divisibility rule states that " Divisible By, implies that when two numbers are divided, the result would be a whole number.

The four smallest prime numbers are 2, 3, 5, and 7.

To find the smallest four-digit number that is divisible by each of these numbers, we can start by finding the least common multiple (LCM) of these numbers. The LCM of a set of numbers is the smallest number that is divisible by all of the numbers in the set.

To find the LCM of 2, 3, 5, and 7, we can start by listing the prime factorization of each number:

2 = 2 x 1

3 = 3 x 1

5 = 5 x 1

7 = 7 x 1

Then, we can find the LCM by taking the highest power of each prime that appears in any of the numbers:

LCM(2, 3, 5, 7) = 2¹ x 3¹ x 5¹ x 7¹  = 210

Since we want the "smallest 4-digit number", then it is:

210 x 5 =1050

Therefore, each of the four lowest prime numbers may be divisible by the smallest four-digit number, which is 1050.

Learn more about the divisibility rule here:

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Related Questions

PLEASE HELP! WILL GIVE BRAINLIEST AND EXTRA POINTS

Answers

Answer:

1,3,4

Step-by-step explanation:

b) The ratio 3:5 can be written in the form 1:n
Choose n from the following.
a 5/3
b 1/5
c 3/5
d 1/3​

Answers

Answer:

Answer: a 5/3

Step-by-step explanation:

Ratios as Fractions

The ratio 3:5 can be expressed as the fraction

[tex]\frac{3}{5}[/tex]

If we wanted to express the ratio in the form 1:n, we can manipulate the fraction in such a way that it has the number 1 in the numerator.

Dividing numerator and denominator by 3:

[tex]\displaystyle \frac{\frac{3}{3}}{\frac{5}{3}}[/tex]

Simplifying:

[tex]\displaystyle \frac{1}{\frac{5}{3}}[/tex]

Thus, the fraction represents the ratio:

[tex]1:(\frac{5}{3})[/tex]

[tex]Thus, n=\frac{5}{3}[/tex]

Answer: a 5/3

The question is below thanks

Answers

Answer:

FH ~ 10.02

Step-by-step explanation:

1. Approach

One should first find the circumference of the given circle. Then one should find how large the fraction of the circumference one is supposed to find is. Finally, one should multiply the fraction of the circumference one is supposed to find by the total circumference.

2. Circumference of the circle

The formula for circumference is;

[tex]2r[/tex]π

Substitute in the given values;

It is given that the radius is, hence

2 (7) π

14π

3. Find the fraction of the circumference one is supposed to find

It is given that the angles over the measure of the total degrees of angles in a circle are equal to the arc surrounding the angles of the circumference. Essentially;

[tex]\frac{angles}{360}=\frac{arc}{circumference}[/tex]

Substitute in the given information and solve;

[tex]\frac{82}{360}=\frac{arc}{14pi}[/tex]

arc = [tex]\frac{41}{180}*14pi[/tex]

arc = [tex]\frac{287}{90}*pi[/tex]

arc ~ 10.02

Write the hypothesis and conclusion of this statement .

If the sun is out, then we will go to the beach.

Answers

Answer:

Hypothesis - the sun is out

Conclusion - we will go to the beach

Step-by-step explanation:

Hypothesis: the sun is out
Statement: we will go to the beach

A members only speaker series allows people to join for $17 and then pay $1 for every event attended. What is the maximum number of events someone can attend for a total cost of $98?

____events​

Answers

Answer:

82

Step-by-step explanation:

98-17=81+1=82

solve your answer in the simplest form or as a mixed number.
5 7/9 + 4 5/6​

Answers

Answer:

10 11/18

Step-by-step explanation:

5 42/54   4 45/54

9 87/54

10 33/54

10 11/18

pleas give me a brainliest if this helped

Answer:

The answer is [tex]10\frac{11}{18}[/tex]

Step-by-step explanation:

Given fractions are:

[tex]5\frac{7}{9} + 4\frac{5}{6}[/tex]

The given fractions are mixed fractions whose sum has to be found. In order to do this, the mixed fractions are first converted into proper fractions then the LCM is taken to find the sum.

So,

Converting the fractions into proper fractions

[tex]=\frac{52}{9} + \frac{29}{6}[/tex]

Taking LCM

[tex]=\frac{104+87}{18}\\=\frac{191}{18}[/tex]

Converting into mixed fraction

[tex]=10\frac{11}{18}[/tex]

Hence,

The answer is [tex]10\frac{11}{18}[/tex]

PLEASE HELP!! I will mark brainliest

Answers

Answer:

the top one and bottom one

Step-by-step explanation:

Answer:

first and sixth

Step-by-step explanation:

they match

in a journey of 450km a person complete its 150km in 3hours.Then he increases his speed by 20%.How long time does it take to complete all the journey​




Answers

Answer:

450 km

150/3=50km/hr

50+20%

1/5*50=10

50+10=60

60km/hr

450-150=300

300/60=5

5 hours

A soccer team sell three items for a fundraising the table shows the total sales for three item the team get to keep 1 dollars for every $10 day make in total sales .how much money will the team get to keep
Hats 196
Tshirt 504
Sweatshirt 420

Answers

Answer:

696589

Step-by-step explanation:

Answer:

Step-by-step explanation:

I Need help too! Please help as quick as you can

Can somebody explain how to do this quickly. Already know how to solve it but it takes me a long time

Answers

Answer:

n = 8

Step-by-step explanation:

Initial point: (1, -2)

Final point: y = x

Blue light translation:

4 units right, 5 units downNumber of translations = n

Red light translation:

1 unit left, 4 units upNumber of translations = 15

Final point is going to be:

x = 1 + 4n - 15*1 = 4n - 14y = -2 - 5n + 15*4 = -5n + 58

Since the coordinates of final point are same, we have:

4n - 14 = -5n + 584n + 5n = 58 + 149n = 72n = 72/9n = 8

Convert 50°F to Celsius.

Answers

the awnser is 10 celcius
50°F to Celsius is:

10 degrees °C

(50°F - 32) * 5/9 = 10°C

What is h? even if you can just tell me how to find it would be helpful!

Answers

Answer:

possibly 5?

Step-by-step explanation:

But can you plzzz help me with my latest question

Can anyone solve this for me? If so please type the steps!

Answers

Answer:

It is a relflection.This is a reflection horizontally bc they are not dialatedor rotated. please vote brainliest

Step-by-step explanation:

Answer:

I don't get it the two triangles look the same

Step-by-step explanation:

Which two traits are aquired during a person's lifetime?

Answers

Answer

D and A?

Step-by-step explanation:

Select the expressions that are equivalent to 34

Answers

Answer:

81 9^2

Step-by-step explanation:

3•3= 9

3•3=9

9•9=81

and 9•9=81

patricia has 45.82 in her checking account. How much does she have in her account after she makes a deposit of 120.75 and a withdraw of 185.90

Answers

Answer:

-19.43

Step-by-step explanation:

You got to add 120.75 to 45.82 then you subtract it from 185.90

comment if this helps :)

In a right-angled triangle
, one acute angle is 30°. Find the other acute angle
VII CLASS MATHEMATICS​

Answers

Answer:

60°

Step-by-step explanation:

sum of all angles is 180

and it's a right-angled triangle so there is angle = 90

so  the other acute angle = 180-30-90=60°

Answer:

60

Step-by-step explanation:

90+30= 120

180-120= 60

True or false
2+(-2) is equal to zero.

Answers

Answer:

It is TRUE.

Other:

Brainliest? Thanks!

HELP PLEASE THIS IS DUE TODAY 50 POINTS

Answers

Answer:

the answer is x over -2 × 14

Answer:-2,2 -7,7 -14,14 0,0

Step-by-step explanation:im not really good at this but i tried and i oped it worked

the cost for fudge at candy lane is represented by the table.the graph the cost for similar fudge that best fudge shop sell. a. the unit rate for fudge at candy lane to equal the unit rate at best fudge shop. B.the unite rate for fudge at best fudge shop is less than unit rate at candy lane. C.the unite rate for fudge at candy lane is less than the unit rate at best fudge shop. D cost 3 pounds of fudge at best fudge shop is less than the cost of a pound of fudge at sweet treats ​

Answers

Answer:

B

Step-by-step explanation:

The correct statement of the given ones are - the unit rate of best fudge is less than unit rate of candy cane.

What is the general equation of a straight line?

The general equation of a straight line is -

y = mx + c

Where -

[m] is the slope of the line.

[c] is the y - intercept.

Given is a table that shows the cost for fudge at candy lane. The graph represents the cost for similar fudge that best fudge shop sell.

The slope of straight line represented by the table -

m[1] = (16 - 8)/(2 - 1)

m[1] = 8

The slope of the line plotted on graph -

m[2] = (9 - 6)/(3 - 2)

m[2] = 3

The slope is the measure of unit rate. Therefore, the unit rate of best fudge is less than unit rate of candy cane.

The cost 3 pounds of fudge at best fudge shop = 3 x 3 = $9

The cost 1 pound of fudge at candy lane = $8

Hence, cost 3 pounds of fudge at best fudge shop is greater than the cost of a pound of fudge at sweet treats.

Therefore, the correct statement of the given ones are - the unit rate of best fudge is less than unit rate of candy cane.

To solve more questions on straight line graphs, visit the link below-

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[Refer to the image attached for table and graph]

the parametric equations x = square root t, y= 3t - 4 for t in [ 0,4] define a plane curve

Answers

Answer:

a) We kindly invite you to read the explanation and check the image attached below for further details.

b) The rectangular equation is [tex]y = 3\cdot x^{2}-4[/tex].

Step-by-step explanation:

a) Let [tex]x = \sqrt{t}[/tex] and [tex]y = 3\cdot t -4[/tex] for [tex]t\in[0,4][/tex]. We proceed to graph the expression with the help of a graphing tool. In this case, the tool Desmos is used and the result is presented below.

b) The rectangular equation for the curve is:

[tex]t = x^{2}[/tex] (1)

[tex]y = 3\cdot t - 4[/tex] (2)

By applying (1) in (2), we get the following equation in rectangular form:

[tex]y = 3\cdot x^{2}-4[/tex]

Can someone help me with this

Answers

Answer:

No, there is 3 times the amount of not yellow chalk than yellow chalk. This proves that the friend is wrong because this exceeds the given total amount of chalk, being 12. If the friend was correct there would be 24 pieces of not yellow chalk and 32 pieces of chalk in total.

The correct pieces of not yellow chalk is 9. The correct pieces of yellow chalk is 3. this can be solved by dividing the total, 12, by 4, because that is the total amount of units. This solves for one unit. Once you know the value of one unit, you can find the total of each type of chalk.

Which investment would be worth the MOST after 20 years?
A) An initial investment of $3000 compounded annually at a rate of 12%
B) An initial investment of $3000 compounded quarterly at a rate of 11.9%
C) An initial investment of $3000 compounded weekly at a rate of 11.85%
D) An initial investment of $3000 compounded continuously at a rate of 11.8%​

Answers

Answer:

D)  An initial investment of $3000 compounded continuously at a rate of 11.8%​

Step-by-step explanation:

I NEED HELP ASAP PLS

Answers

Answer:

Pretty sure it's D. y=2/1x

Answer:

y= 2/1 x

Step-by-step explanation:

Start from (-2,-4) rise up 4 and over 2 which means 4/2 simplify to 2/1

Andre divides some stickers evenly among 5 people. Each person receives 8 stickers with none left over. Which equation can be used to determine the
number of stickers, s, Andre had?

Answers

Answer:

multiplication

Step-by-step explanation:

5x8=40

Answer:

If you mean which equation with variables can be used it is s/5 = 8

Step-by-step explanation:

What is the center of the circle shown below?
А
ОА. В
ОВ. АВ
в
ос. А
OD. Y

Answers

Answer:

A

Step-by-step explanation:

the answer is A with the letter B next to it

The center of the circle is B.

What is Center of Circle?

A circle's centre is the point from which all of the distances to the other points on the circle are equal. The radius of the circle is the measurement at issue.

The location of a moving point on a plane such that its separation from a stationary point on the plane remains constant or fixed is described as a circle.

A circle is a two-dimensional form characterised by its centre and radius. If we know the centre and radius of a circle, we can draw it. There are an endless number of radii for a circle. A circle's centre is the point at which all of its radii meet. It is also known as the middle of the circle's diameter.

When we are given a circle and must locate its centre.When a circle's equation is supplied and we need to get the coordinates of its centre.

From the figure the equidistant point from the surface of the circle is  B.

Learn more about Centre of Circle here:

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I WILL GIVE BRAINLIEST
Given the function: f(x)= 3x+6. What is the inverse function of f(x)?
The picture above provides the answer choices and the function given.

Answers

Answer:

Concept: Inverse Functions

We want the inverse of a root function which is x^1/2 Now we combine that result to get [tex] {f}^{ - 1} (x) = \frac{ { x }^{2} }{3} - 2[/tex]Rate brainlist

Please helppppp

Shawna knows that the number of milligrams in a Childs dose of certain medicine is equal to two-thirds the weight of the child's in pound. How much of the medicine should Shawna give a child who weighs 45 pounds?


A: 15mg
B: 30mg
C: 35mg
D: 40mg

Answers

Answer:

I think B

Cuz : he said that the medicine is equal to two-thirds the weight of the child's in pound which means 2/3 multiple 45 is 30

Isn't it?

Is this true or false? 0 < -2

Answers

Answer:

this is false

Step-by-step explanation:

-2 is accually greater than 2

so, for this to be correct it would have to be:

[tex]0 > - 2[/tex]

need help plz thanks​

Answers

Answer:

its B

Step-by-step explanation:

Answer:

5x+6=10+10=8x-15

Step-by-step explanation:

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