The product of three consecutive integers n - 1, n, and n + 1 is 210. Write and solve an equation to find the numbers.

Answers

Answer 1

We can write an equation to represent the relationship between the three integers n - 1, n, and n + 1 by multiplying these three numbers together:

(n - 1) * n * (n + 1) = 210.

We can then solve this equation to find the value of n.

To solve the equation, we can first factor the left-hand side to get (n - 1) * (n + 1) * n = 210. This expression can be further simplified to n^2 - 1 = 210. We can then solve this equation by adding 1 to both sides to get n^2 = 211, and then taking the square root of both sides to get n = sqrt(211).

The value of n must be an integer, so the only possible value for n is 14. This means that the three consecutive integers are 13, 14, and 15.

Learn more about Integers here:

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Related Questions


The diameter of a cylindrical water tank is 10 ft, and its height is 11 ft. What is the volume of the tank?

Answers

Answer:

the answer is 3455 cubic feet

Step-by-step explanation:

π x 100 x 11=3455

Find the greatest common factor of 10, 30, and 45.

Answers

Answer:

5

Step-by-step explanation:

The GCF of 10, 30, and 45 is 5.

∴ The greatest number that divides 10, 30, and 45 is [tex] { \underline{ \boxed{ \orange{ \tt{5}}}}} [/tex]

Hope it help ;)

Three percent of the students at Midwood High School are left-handed. There are 700 students at Midwood High School. How many students at Midwood High School are left-handed?
A.21 students
B.210 students
C.140 students
D.12 students

Answers

Answer:

21 students because 3% = 0.03 . When you multiply 0.03 by 700, you get 21.

Answer:

[tex] \frac{3}{100} \times 700[/tex][tex]3 \times 7[/tex][tex]21[/tex]

there are total 21 left handed students in the school.

A teacher chooses a student at random from a class of 25 boys. Which BEST describes the probability that the student chosen is a boy?
A) impossible
B) unlikely
C) likely
D) certain

Answers

Certain, there’s only boys in the class so it can only be a boy chosen.
D hope it is right

what is the value of A when we rewrite (32/5)^-2x as A^x​

Answers

Answer:

[tex](\dfrac{25}{1024})^x[/tex]

Step-by-step explanation:

The given expression is :

[tex](\dfrac{32}{5})^{-2x}[/tex]

We need to rewrite it in the form of [tex]A^x[/tex].

We know that, [tex](\dfrac{1}{x})^{-a}=x^a[/tex]

So,

[tex](\dfrac{32}{5})^{-2x}=(\dfrac{5}{32})^{2x}\\\\=(\dfrac{5^2}{32^2})^x\\\\=(\dfrac{25}{1024})^x[/tex]

So, [tex]A=\dfrac{25}{1024}[/tex]. Hence, this is the required solution.

Answer: A = (32/5)^-2

Step-by-step explanation:

help...........................

Answers

Answer:

1.54

Step-by-step explanation:

The problem asks for the absolute value of -1.54. Absolute value refers to the magnitude of a number regardless of its sign, so the negative sign is dropped.


PLEASE SOMEONE HELP I WILL GIVE BRAINLIEST
(Look at the picture)

Answers

X=12 because the ABC triangle is doubled the values

The similarity ratio of two similar triangles is equal to the ratio of their corresponding sides :

Similarity ratio = BA / GF = BC / GH = CA / HF

Similarity ratio = 18 / 9 = 14 / 7 = x / 6

x / 6 = 2

multiple sides by 6

6 × x / 6 = 6 × 2

simplification

x = 12

Unit rates can be helpful with creating a ratio table and plotting the equivalent ratios on a coordinate plane. Explain why. PLEASE ANSWER ASAP AND PLEASE GIVE ME THE ANSWER!!!

Answers

Answer:

Unit rate is often a useful means for comparing ratios and their associated rates when measured in different units. The unit rate allows us to compare varying sizes of quantities by examining the number of units of one quantity per one unit of the second quantity. This value of the ratio is the unit rate.

What is the the length of each chord ?

Answers

Answer:

3

Step-by-step explanation:

Kyle fills the candle mold with liquid candle wax. If
the candle has a volume of 99 cubic inches, what is the
width of the mold?

Answers

Answer:

w = 3 inches

Step-by-step explanation:

Given that,

The volume of the candle, V = 99 cubic inches

Length, l = 11 inches

Breadth, b = 3 inches

We need to find the width of the candle. The candle is in the form of a cuboid. The volume of cuboidal shape is given by :

[tex]V=lwh[/tex]

Put all the values,

[tex]w=\dfrac{V}{lb}\\\\w=\dfrac{99}{11\times 3}\\\\w=3\ inches[/tex]

So, the width of the mold is 3 inches.

a car company uae the symbol shown below for their logo. if the inside space of the logo is a rhombus,what is the length of FJ?​

Answers

Answer:

F has a new version of this book that is designed for the same as if you can use it to get a yellow one

How many plants spaced every 6" are needed to surround a circular walkway with a 25' radius

Answers

Answer:= 2 × 3.14 (25)

= 157.

circumference of circle feet is 157 × 12 inches.

Step-by-step explanation:

consider the following formula to find the circumference of circle

C= 2^_r

here r is radius of circle

the radius of circular is 25 ft.

Therefore circumference is as follows

C = 2^_r

1. Determine the more basic function that has been shifted reflected stretched or compressed.
2. Graph the given function by indicating how the more basic function has been shifted reflected stretched or compressed
[tex] m(x)- 2\sqrt[3]{x } - 4[/tex]

Answers

Step-by-step explanation:

kiop

Decrease 48 by 75% answer please

Answers

Answer:

75/100 × 48= 36

48-36= 12

solve for x in the diagram below

Answers

Answer:

15

Step-by-step explanation:

45+15=4x

60=4x

15=x

Neil swam 4 2/3 lengths of the pool. Mia swam 6 1/2 lengths of the pool. How many more lengths did Mia swim than Neil

Answers

Answer:

1 5/6

Step-by-step explanation:

A lock consists of 2 dials, where each dial has 6 letters. What is the probability of guessing the right combination in one try?

Answers

Answer:

i dont know the answer either

Step-by-step explanation:

thanks

Mrs. Ballesteros students raised $300, Mrs. Garcia's
students raised $210, and Ms. Ramirez students raised
$180. What is the mean, or average, amount of money
raised by the English students?

Answers

Answer:

$230

Step-by-step explanation:

To find the average all you have to do is add all the numbers together in a given set then divide the total by the amount of numbers in the set.

15.000 at 9 percent interest

Answers

Answer:

$16.35

Step-by-step explanation:

15 x 1.09 = 16.35

Find the area of the parallelogram

Answers

Answer: 621 cm

A = bh

A = 27 x 23

A = 621

Here is an expression:3.2t solve the equation when t=4

Answers

Answer:

3.2 x 4 = 12.8

therefore your answer will be 12.8

Solve for x.
2
8
4
X

Answers

Answer:

Impossible

Step-by-step explanation:

This diagram is not correctly stating the question

If a $6.00 ball was bought for $5.25, what was the percentage of the discount?
A. 25%
B. 12.5%
C. 15%
D. 20%
E. 75%
Please show work and I will make brainlist.

Answers

Answer:

B

Step-by-step explanation:

x% of 6 = 5.25

[tex]\frac{x}{100}[/tex] x 6 = 5.25

[tex]\frac{(5.25)(100)}{6}[/tex] = x

x = 87.5 %

discount = 100 - 87.5 %

= 12.5 %

5.25/6=x/100
Cross multiply
6x=525
525/6
87.5% is how much 5.25 is when compared to 6
100-87.5
12.5%
The answer is 12.5%

Which graph represents this system? y=5x+3 3 y=zx-1​

Answers

Answer:

where's the two graphs

Step-by-step explanation:

where are the two graphs that we need to choose from??

Answer:

[tex]y = 5x + 3[/tex]

[tex]3y = zx - 1[/tex]

Step-by-step explanation:

What are the solutions of the equation 9x4 - 2x2 - 7 = 0? Use u substitution to solve.

Answers

Answer: this is what i got hope this helped i took a sceernshot of it

Step-by-step explanation:

ples make brainly

Mrs. Carroll asked her students to write an exponential function that represents a growth rate of 15% each year with an initial value of 1,000. Which student completed the task correctly

Answers

Answer:

i need help with the same thing but no one cares

Step-by-step explanation:

You walk into a store that is closing. The pants normally cost $60.00 but it is discounted 75%. They are also taking an additional 20% off. What is the final price that you pay for the pants? dollars and cents. For example 19 dollars and 25 cents would be written as $19.25​

Answers

Answer:

The final cost that I will pay for the pants is $ 12.

Step-by-step explanation:

Since I walk into a store that is closing, and the pants normally cost $ 60.00 but it is discounted 75%, and they are also taking an additional 20% off, to determine what is the final price that I will pay for the pants se must perform the following mathematical calculation:

 

100 - 20 = 80

(60 - (60 x 0.75)) x 0.80 = X

(60 - 45) x 0.80 = X

15 x 0.80 = X

12 = X

So, the final cost that I will pay for the pants is $ 12.

*Determine the number of solutions the equation below has.
3(1 + d)-5 = 3d - 2
Explain how you know .

Answers

Answer:

6

Step-by-step explanation:

because i know

Point L is located at (-3,-6) where is L after a reflection over the y-axis

Answers

9514 1404 393

Answer:

  L'(3, -6)

Step-by-step explanation:

The reflection over the y-axis is modeled by the transformation ...

  (x, y) ⇒ (-x, y)

  L(-3, -6) ⇒ L'(3, -6)

Point L is located at (3, -6) after the reflection from the 3rd quadrant to the 4th quadrant across the y-axis.

Pls help it is khan academy :)

Answers

Answer:

4x-12

Step-by-step explanation:

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