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

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Step-by-step explanation:

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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.

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Answers

Answer:

75/100 × 48= 36

48-36= 12

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

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

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%

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.


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

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 ;)

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Answer:

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there are total 21 left handed students in the school.

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Answers

Answer:

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Step-by-step explanation:

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.

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Answers

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Answers

Step-by-step explanation:

kiop

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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]

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Step-by-step explanation:

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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

consider the following formula to find the circumference of circle

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Mrs. Ballesteros students raised $300, Mrs. Garcia's
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Answers

Answer:

$230

Step-by-step explanation:

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Kyle fills the candle mold with liquid candle wax. If
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Answers

Answer:

w = 3 inches

Step-by-step explanation:

Given that,

The volume of the candle, V = 99 cubic inches

Length, l = 11 inches

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Answers

Answer:

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Step-by-step explanation:

This diagram is not correctly stating the question

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