Problem 2 Find all the divisors of the number 2,310. How do you know that you found them all?​

Answers

Answer 1

9514 1404 393

Answer:

  1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 30, 33, 35, 42,

  55, 66, 70, 77, 105, 110, 154, 165, 210, 231, 330, 385, 462, 770, 1155, 2310

Step-by-step explanation:

The trailing digit is 0, and the sum of digits is 6, so we know the number is divisible by 2, 3, 5. Dividing out those factors, we get a quotient of 77, which is 7×11. This means the prime factorization is ...

  2×3×5×7×11 = 2310

There are 5 prime factors, each with an exponent of 1, so the total number of divisors is 2^5 = 32. We will have found them all when all 32 are listed.

  1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 30, 33, 35, 42,

  55, 66, 70, 77, 105, 110, 154, 165, 210, 231, 330, 385, 462, 770, 1155, 2310

Of course, the pairwise products working toward the center from the ends of the list are all 2310.


Related Questions

Andrew borrowed $700 from the bank to start a pressure washing business. The bank charged a simple interest rate of 7% per year. If it takes Andrew 3 years to pay back the loan, how much interest will he pay?

Answers

Answer:

$147

Step-by-step explanation:

Given:

Loan amount = $700Interest rate = 7% simpleTime = 3 years

Interest amount:

$700*3*0.07 = $147

Answer:

Simple interest=(Principal×Rate×Time)/100

Principal=$700, Rate=7%, & Time=3 years

→S.I. = (700×7×3)/100 = 147

Andrew has to pay a interest of $147.

Does anyone know the next number in this pattern?? 125,-25,5,-1

Answers

Answer:

1/5

Step-by-step explanation:

you're dividing by -5

plz hurry
How many faces does the solid made from the net below have?


A shape has a pentagon base. There are 5 triangles on the sides.
5
6
10
15

Answers

Answer:

6

Step-by-step explanation:

I

did quiz.

The net of the solid is a plane shape, and The net of the solid is made from 6 faces

How to determine the number of faces?

From the question, we understand that:

Sides = 5 trianglesBase = 1 pentagon

So, the number of faces is:

Face = Triangle + Pentagon

This gives

Face = 5 + 1

Face = 6

Hence, the net of the solid is made from 6 faces

Read more about surface areas at:

https://brainly.com/question/6613758

#SPJ2

How much is 645 divided by 5

Answers

Step-by-step explanation:

129

hope it helps

please mark me as brainlist

Answer:

it is 129

Step-by-step explanation:

EMERGENCYYYYYYY ANSWER THIS PLS I HAVE ONLY 2 MINS
140,000+36.25​​+1,000=

Answers

Answer:

141036.25

Step-by-step explanation:

Answer:

141036.25

Step-by-step explanation:

which angle is the smallest angle

Answers

Answer:

angle c

Step-by-step explanation:

Answer:

should be angle c if im correct

Tucker's bedroom is a rectangle that measures 3
5
6
yards by 4
1
6
yards. His dad buys two area rugs that each have a length of 4 yards. Rug one has an area of 16
35
36
square yards. Rug two is 15 square yards.

Which rug will fit Tucker's room?

Answers

Answer:

my teacher has cancer please help her at #snowmanchallenge

Step-by-step explanation:

try to spread the help every snowman is ten dollars for her

Mae Ling earns a weekly salary of $325 plus a 7.5% commission
on sales at a gift shop. How much would she make in a work week if she sold
$5,800 worth of merchandise? Write in money format.

Answers

Answer:

$760

Step-by-step explanation:

Given data

weekly = $325

commission= 7.5%

if she sold $5,800 worth of merchandise

Her earnings will be

Week earning= base salary+ 7.5% of sales

Week earning= 325+ 7.5/100*5800

Week earning= 325+ 0.075*5800

Week earning= 325+ 435

Week earning= $760

Use this list of numbers to answer the following questions:
0,4, -2, 2/3, -1.8, 16, 3.2,-5/4

1. Which numbers are rational numbers that are not integers?

2. Of the remaining numbers, which are integers but not whole numbers?

3. Of the remaining numbers, which are whole numbers?

Answers

1.

ans= -1.8 and 3.2,

2.

ans= -5/4 and 2/3

3.

ans= 0,4 and 16

Hope it helps.

Answer:

1.  2/3 ,-5/4 , -1.8 , 3.2

2. -2  and 0

3. 4 and 16

Step-by-step explanation:

1.Rational numbers should have a numerator and a denominator. An integer should not be a decimal or a fraction.

In this case : 2/3 ,-5/4 , -1.8 , 3.2

2. Whole numbers are counting numbers. An integer can be non-negative, positive, negative or zero.

In this case : -2 , 0

3. Whole numbers remaining are ;

   4  and 16

A professor grades a set of exams and then computes the quartiles:
Q0 = 60. Q1 = 70. Q2 = 80 Q3 = 87. Q4 = 95

If the professor curves every grade up by 10 points, then how will Q2 be affected by the curve?

I. It will increase by 10 points
ii. It will be 10 points higher than the median for the noncurved data
III It will be halfway between Q1 and Q3 for the curved data

a. I only
b. II and III
c. I, II and III
d. I and II
e. I and III

Answers

Answer:

Answer is c. I, II and II

Step-by-step explanation:

Solution:

Answer is c. I, II and II

It will be increase by 10 points and it will be 10 points higher than the median for the noncurved data. and it will be halfway between Q1 and Q3 for the curved data.

Median for noncurved data = Q2 = 80

Median for curved data = 90

It will increase by 10 points = 90  

It will be 10 points higher than the noncurved data = 90-80 = 10 points

if the set contains 20 values then, noncurved data will be:

60 _ _ _ _ 70 _ _ _ _ 80 _ _ _ _ 87 _ _ _ _ 95

Curved data will be: (all grades increased by 10 points)

70 _ _ _ _ 80 _ _ _ _ 90 _ _ _ _ 97 _ _ _ _ 105

Here, we can see median = Q2 = 90, exactly, halfway between Q1 =80 and Q3 = 97

Hence, C is the right answer

Plllllwaaaaasseeee hellollll

Suppose you are given two quadrilaterals, ABCD EFGH. If the similarity ratio of ABCD to EFGH is 4:3, and it EH =
60, find AD
a. 45
0.90
b. 40
d. 80
Please select the best answer from the choices provided
B

Look at image^^^

Answers

Answer:

d. 80

Step-by-step explanation:

Similarity ratio of ABCD to EFGH = 4:3.

This implies that the ratio of AD to EH = 4:3

If EH = 60, then:

AD:60 = 4:3

AD/60 = 4/3

Multiply both sides by 60

AD = ⁴/3 × 60

AD = 80

will make brainliest what is 2,837 to the nearest 10????????????????????????

Answers

Answer:

2,840

Step-by-step explanation:

since the three is in the tens place and 7 in single if 5 and up round up fi 4 and below leave it alone you will then take the 3 and round up to give you 2,840

2840 is the answer :)

whoever gets this right gets brainliest

Answers

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Explain how to model the problem with algebra tiles and then write an algebraic expression that represents the situation.

Ruby gave away one of her puppies.
(not sample respince)

Answers

Step-by-step explanation:

the answer is in the picture

Answer:

The variable, the number of golf balls, is modeled by an orange x tile.

Finding 8 more golf balls is modeled by 8 orange + tiles.

The expression that represents the situation is x + 8.

Translate (4,3) to the left 3 units. Then reflect the result over the y-axis. What are the coordinates of the final point?

Answers

Translation left 3 units: subtract 3 from the original x coordinate --> 4-3=1
Reflection across y-axis: change the sign of the x coordinate --> 1 => -1
Final answer: (-1, 3)

find the exact value of tan30⁰ × cos30⁰
give your answer in its simplest form​

Answers

ANSWER:

tan(30⁰)=√3/3

cos(30⁰)=√3/2

switch sides:

sin(x) /√3/2 =√3/3

multiply both sides by 3:

3·sin(x) /√3/2 =3·√3/3

simplify:

2√3 sin (x) =√3

divide both sides by 2√3:

2√3 sin (x) / 2√3 = √3 / 2√3

simplify:

sin (x)= 1/2

Evaluate the expression: (10) -3x (-2) +5

Answers

Answer:

-3x(-2)+15

Step-by-step explanation:

add the numbers

80 points! Look at the pic attached. I will mark brainliest to the correct answer. Random answers will be reported :) thanks

Answers

Answer: No, it is not commutative. If used a square as an example, centered at (1,1). If a dilation is performed on the square of a scale factor of 3, and the square is translated 5 units downward, then the result would be different than if I switched the order, doing the translation downward first and then performing the dilation centered at (1,1).

I hope this helps! If you need any further clarification, just let me know below. Thanks! Have a good day, and good luck on your assignment. :)

Answer:

this helps me :-))

thanks

i need help
(64-4) / 2-7^2

Answers

Answer:

-19

Step-by-step explanation:

60/2-7²

30-49

-19

The answer is -19 hope it helps!

64 + (5 ÷ 3) - 2^3
help me plz

Answers

Answer:

57.67

Step-by-step explanation:

64+1.67-8

65.67-8

57.67

If bcd~gef find value of x

Answers

Answer:

[tex]x = 13[/tex]

Step-by-step explanation:

Given

See attachment

Required

Find x

From the attachment, we have:

[tex]BC = x + 4[/tex]

[tex]BD = 2x - 7[/tex]

[tex]GE = 51[/tex]

[tex]GF = 57[/tex]

Because both triangles are similar, we use the following equivalent ratios:

[tex]BC : BD = GE : GF[/tex]

Substitute values for each parameter

[tex]x + 4 : 2x- 7 = 51 : 57[/tex]

Convert to fractions

[tex]\frac{x + 4}{2x- 7} = \frac{51 }{ 57}[/tex]

Simplify the right-hand side

[tex]\frac{x + 4}{2x- 7} = \frac{17}{19}[/tex]

Cross Multiply

[tex]19(x + 4) = 17(2x - 7)[/tex]

[tex]19x + 76 = 34x - 119[/tex]

Collect Like Terms

[tex]19x - 34x = -76 - 119[/tex]

[tex]-15x = -195[/tex]

Solve for x

[tex]x = \frac{-195}{-15}[/tex]

[tex]x = 13[/tex]

Answer: x=13

Step-by-step explanation:

:(x+4) 57 = (2x-7) 5157x + 228 = 102x - 357357+228 = 102x - 57x585 = 45x13 =

What is the simplified form of each expression?
21. 2x + 5x + 4x
A. 11 + 3x
B. 7x
C. 11x
D. 7x + 4x

Answers

Answer:

C

Step-by-step explanation:

They all share a common variable so you can add them all together to get the simpliest form.

help me pls thank you alot!

Answers

your answer will be -1/7
Answer -1/7..........


What is the value of E(-1) n (3n+2)?

Answers

Answer:  C) 6

====================================================

Explanation:

The weird looking E symbol is the greek uppercase letter sigma. It refers to a sum.

It tells us to add up terms in the form (-1)^n*(3n+2) where n is an integer ranging from n = 1 to n = 4.

------------------

If n = 1, then we have

(-1)^n*(3n+2) = (-1)^1*(3*1+2) = -5

Let A = -5 as we'll use it later.

------------------

If n = 2, then

(-1)^n*(3n+2) = (-1)^2*(3*2+2) = 8

Let B = 8 since we'll use this later as well

------------------

If n = 3, then

(-1)^n*(3n+2) = (-1)^3*(3*3+2) = -11

Let C = -11

-------------------

If n = 4, then

(-1)^n*(3n+2) = (-1)^4*(3*4+2) = 14

Let D = 14.

--------------------

We'll add up the values of A,B,C,D to get the final answer

A+B+C+D = -5+8+(-11)+14 = 6

This means that

[tex]\displaystyle \sum_{n=1}^{4}(-1)^n(3n+2) = 6[/tex]

SIMPLIFY -3/4( 8/9Y - 18) - 3/5(5/6Y + 25)?

Answers

Answer:

I believe the answer is

-7y+9/6

Answer:

-7/6 y -3/2

Step-by-step explanation:

The diagram show a 5cm x 6cm x 7cm cuboid pls help you

Answers

Answer:

d ≈ 10.5

Step-by-step explanation:

The formula for the diagonal of a retangular prism (cuboid) is

[tex]d=\sqrt{l^2+w^2+h^2}[/tex]

1.) Plug in all the values for l, w, and h

[tex]d=\sqrt{5^2+6^2+7^2}[/tex]

2.) simplify by squaring the terms inside the square root

5 * 5 = 25

6 * 6 = 36

7 * 7 = 49

[tex]d=\sqrt{25+36+49}[/tex]

3.) Add the terms

[tex]d=\sqrt{110}[/tex]

4.) Simplify

[tex]d = 10.488[/tex]

5.) Round to one decimal place

d ≈ 10.5

Please help me I don’t get it

Answers

Answer:

x=8°

Step-by-step explanation:

If two sides are equal than there angles are also equal.

2x+40+5x+22+5x+22=180

12x+84=180

12x=180-84

12x=96

x=96/12

x=8°

Describe the possible lengths of the third side of the triangle given that the lengths of the other two sides are 12 feet and 18 feet.

I attached the picture too.

Answers

Answer:

6 ft < L₃ < 30 ft

Step-by-step explanation:

To obtain the answer to the question given above, we must bear in mind that:

The sum of the length of two sides of any triangle is always greater than the 3rd length i.e

L₁ + L₂ > L₃

With the above information in mind, we can obtain the answer to the question given above as follow:

Length 1 (L₁) = 12 feet

Length 2 (L₂) = 18 feet

Length 3 (L₃) =..?

Case 1:

L₁ + L₂ > L₃

12 + 18 > L₃

30 > L₃

L₃ < 30 feet

Case 2:

L₁ + L₃ > L₂

12 + L₃ > 18

Collect like terms

L₃ > 18 – 12

L₃ > 6 feet

Thus,

6 feet < L₃

Combining case 1 and 2,we obtained:

6 ft < L₃ < 30 ft

Therefore, the possible Lenght of the 3rd side is : 6 ft < L₃ < 30 ft

Domesticated animals were primarily valued for meat.
true or false

Answers

Answer:

False

Step-by-step explanation:

Hope this helps :)

can anyone help me i dont understand this

Answers

It is 8, because 8-11 is -3.
it’s 8
8-11= -3

to find the answer for future questions , just subtract the number (-11) from the sum (-3)
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