the total of three consecutive numbers is 210. what are the numbers. show all work

Answers

Answer 1

Let n = the first of three consecutive numbers.

Let n + 1 = the second consecutive number, and ...

Let n + 2 = the third consecutive number.

Since we're given that: "the sum of three consecutive numbers is 210," then we can now translate this statement mathematically into the following equation to be solved for the unknown number n:
n + (n + 1) + (n + 2) = 210

n + n + 1 + n + 2 = 210

Collecting like-terms on the left, we get:
3n + 3 = 210

3n + 3 - 3 = 210 - 3

3n + 0 = 207

3n = 207

(3n)/3 = 207/3

(3/3)n = 207/3

(1)n = 69

n = 69

Therefore, ,...
n + 1 = 69 + 1 = 70 and

n + 2 = 69 + 2 = 71

CHECK:
n + (n + 1) + (n + 2) = 210
69 + (70) + (71) = 210
69 + 70 + 71 = 210
210 = 210

Therefore, the three consecutive numbers whose sum is 210 are indeed 69, 70, and 71, and 71 is obviously the largest of these three numbers

Related Questions

7x - 4 + = 12 show me the steps

Answers

Answer:

impossible, but two ways:

either:

x=16/7

or:

7x+8

Step-by-step explanation:

if it is 7x-4+12, then it is 7x+8 because it is an expression.

If it is 7x-4=12, then it is x=16/7 because it is an equation.

otherwise, it is python programming or impossible.

HELP ME PLEASE IF YOU LOVE GOD

Answers

Step-by-step explanation:

f(3)= 5(3) +2

= 15 + 2

=17

Please give give brainliest

D

50 POINTS HELP ASAP DUE IN AN HOUR

Answers

Answer:

Your Welcome...

Step-by-step explanation:

Answer:

The red line is: y = 2x -4

The blue line is: y = -1/2x + 1

Mrs.Welch needs to buy some cat food . If each can costs $0.79 and she has a coupon for $2 off the entire purchase, how many cans of cat food can she buy for under $7? solve this problem as an inequality.

Answers

Answer:

11 cans of cat food...........

Step-by-step explanation:

£0.79 x 11 = £8.69

£8.69 - £2 = 6.69

Answer:

Eleven (11) cans of cat food!

ms salinas is packing lunches for a field trip. She is placing 15 sack lunches in each of 3 ice chests. Each sack lunch contains a sandwich, an apple, and a bag of potato chips. 40% of the sandwhiches an turkey sandwiches. How many of the sack lunches contain a turkey sandwhich

Answers

Answer:18

Step-by-step explanation:

Because 40% of 45 is 18

Day 4 of trying to find kiyah mccain :(

Answers

Answer:

who is that? Maybe i know this person...

Step-by-step explanation:

Find the values of k so that each remainder is three.
10. (x^2+ 5x + 7) = (x + k)

Answers

Answer:

[tex]k=1\text{ or } k=4[/tex]

Step-by-step explanation:

We can use the Polynomial Remainder Theorem. It states that if we divide a polynomial P(x) by a binomial in the form (x - a), then our remainder will be P(a).

We are dividing:

[tex](x^2+5x+7)\div(x+k)[/tex]

So, a polynomial by a binomial factor.

Our factor is (x + k) or (x - (-k)). Using the form (x - a), our a = -k.

We want our remainder to be 3. So, P(a)=P(-k)=3.

Therefore:

[tex](-k)^2+5(-k)+7=3[/tex]

Simplify:

[tex]k^2-5k+7=3[/tex]

Solve for k. Subtract 3 from both sides:

[tex]k^2-5k+4=0[/tex]

Factor:

[tex](k-1)(k-4)=0[/tex]

Zero Product Property:

[tex]k-1=0\text{ or } k-4=0[/tex]

Solve:

[tex]k=1\text{ or } k=4[/tex]

So, either of the two expressions:

[tex](x^2+5x+7)\div(x+1)\text{ or } (x^2+5x+7)\div(x+4)[/tex]

Will yield 3 as the remainder.

please help im kinda unintelligent​

Answers

Answer:the answer is c

Step-by-step explanation:

Option c, is the correct answer.

I need to find out what makes m ll n I’m in geometry and this is big ideas please help if can

Answers

Answer:  x = 16

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

Explanation:

On that diagram, the unmarked angle above the (6x-8) is equal to (5x+12). This is because the unmarked angle and the angle marked with (5x+12) are corresponding angles. Corresponding angles must be congruent if you want line m to be parallel to line n.

From here we add up (5x+12) and (6x-8) and set that sum equal to 180. Solve for x

We get the following:

(5x+12)+(6x-8) = 180

5x+12+6x-8 = 180

(5x+6x)+(12-8) = 180

11x+4 = 180

11x = 180-4

11x = 176

x = 176/11

x = 16

...... I’m guessing x=16

Could someone confirm if I was correct?

Answers

compare to the correct answer on the picture. If not helped you can use a graph calculator and it should let you know wether or not you’re correct

Scale drawing of the gym.

A rectangle with length 9 centimeters and width 4 centimeters.

StartFraction 1 centimeter over 10 meters EndFraction = StartFraction 9 centimeters over new length EndFraction. (1) (new length) = (10) (9). New length = 90 meters.

Using the scale 1 cm : 5 meters, Tamara calculated the length of her old gym to be 45 meters and the width to be 20 meters.

Using a new scale, 1 cm : 10 meters, she found the length of the new gym to be 90 meters.



The width of the new gym is
meters.
The length and width of the new gym are
times the length and width of the old gym.

Answers

Answer: The width of the new gym is 40 meters,

the length and width of the new gym are

✔ 2

times the length and width of the old gym.

Step-by-step explanation:

Pls give brainliest!! Have a nice day!!

Answer:

40 meters and 2

Step-by-step explanation:

Write an equation where a number is added to a variable, and a solution is -8.

Answers

Answer:

heres a very simple one: x-18= -8 for x=10

Step-by-step explanation:

it just very simple, if you don't have any other choice.

Four friends are going to the movies. The cost of one ticket is $9.50, and the cost of one large popcorn is
$4.50. The expression 4(9.5)+4(4.5) shows the total cost for the four friends. Which of these is equivalent to
the given expression?
4[4.5+9.5)
4.5(4+9.5)
(4+4) (9.5+4.5)
(4x4) (9.5+4.5)

Answers

Answer:

4(4.5 + 9.5)

Step-by-step explanation:

Answer:4(4.5+9.5)

Step-by-step explanation:

If AC = x + 3 and DB = 3x – 19, find AC.

Answers

Answer:

AC=DB

x + 3=3x-19

x+22=3x

22=2x

11=x

find AC:

AC= 11+3

AC=14

14 is your answer!!

X + 2= 45

What’s the answer

Answers

Answer:

X = 43

Step-by-step explanation:

X + 2 = 45

X + 2 - 2 = 45 - 2

All you have to do is add 2 more to 43 and you'll get 45, so 43 is your answer.

What is the value of 2^-3 x 3^-2

Answers

Answer:

1/72

Step-by-step explanation:

2^-3 x 3^-2

½³×⅓²

⅛×⅑

1/72

Look at this information about recycling:
20 large plastic bottles can be recycled to make 1 fleece jacket
How many fleeces can be made with 280 large plastic bottles?

Answers

Answer:

14 fleeces can be made from 280 large plastic bottles.

Step-by-step explanation:

Given that:

20 large plastic bottles can be recycled to make 1 fleece jacket.

Ratio of bottles to jacket = 20:1

Number of large plastic bottles = 280

Let,

x be the number of fleece jackets.

Ratio of large bottles to fleece jackets = 280 : x

This is a proportional relationship.

20 : 1 :: 280 : x

Product of mean = Product of extreme

280 = 20x

20x = 280

Dividing both sides by 20

[tex]\frac{20x}{20}=\frac{280}{20}\\x = 14[/tex]

Hence,

14 fleeces can be made from 280 large plastic bottles.

math club has 36 members of which 13 are males and the rest are females. what is the ratio of females to males.​

Answers

you would have to subtract 13 from 36 to find the amount of females.

36-13 = 23

there must be 23 females

23:13 is the ratio

For this graph, mark the statements that are true.

Answers

Answer:

B

Step-by-step explanation:

Just answer it

BBSJSSJJSNSNNSOAOOALAKA

Answer:

A. The domain is the set of all real numbers.

D. The range is the set of all real numbers.

Step-by-step explanation:

The graph shows a polynomial function.

These are defined for any real values of x.

Pls help ASAP .Due Today,I will mark brainlist.​

Answers

Answer:

Step-by-step explanation:

Helpp plzzz
Thank you

Answers

Given:

32 and 28 are the two numbers.

To find:

(a) The GCF of 32 and 28.

(b) Using the GCF, find the factor of (32-28).

Solution:

(a)

The factor forms of the given numbers are:

[tex]32=2\times 2\times 2\times 2\times 2[/tex]

[tex]28=2\times 2\times 7[/tex]

It is clear that, 2 and 2 are the common factors in both.

[tex]GCF(32,28)=2\times 2[/tex]

[tex]GCF(32,28)=4[/tex]

Hence, the GCF of 32 and 28 is 4.

(b)

Using the GCF we need to find the factor of (32-28).

[tex]32-28=4\times 8-4\times 7[/tex]

Taking out the GCF, we get

[tex]32-28=4\times (8-7)[/tex]

Hence, [tex]32-28=4\times (8-7)[/tex].

5X +20 and the opposite of 20

Answers

Answer:  5x+(-20)=-15x  Step-by-step explanation:

PLEASE SOMEONE DO THE DAY7 : TIME FOR ME. GIVING BRAINLIEST FOR WHOEVER GETS IT RIGHT!

Answers

1. 1 hour and 30 minutes 2. 11:35 : your welcome !

Please help me with #1

Answers

Answer:

C

Step-by-step explanation:

The right answer is C because in this case n is lesser or equal to 0.

An online company lets you download songs for $1 each
after you have paid a $5 membership fee. The maximum
number of songs you can download in a month is 100.
How much do you pay?

Answers

Answer:$105

Step-by-step explanation:

I think but the way I done it was a 100 *1+5

What is the length of the Midsegment?

Answers

Answer:

5

Step-by-step explanation:

The midsegment should be half the length of the segment at the bottom.

2(x+4)=4x-2

2x+8=4x-2

10=2x

x=5

I hope this helps! :)

Calculate the slope of the line. Please help and explain!!

Answers

Answer:

1/3 because you go up one and right three until the line and the grid prefectly intersect

Subtracting Radicals
Combine the radicals gvx-37x.
5rx
–6/2x
-6

Answers

Given:

The expression is

[tex]9\sqrt{x}-3\sqrt{x}[/tex]

To find:

The result after subtracting the radicals.

Solution:

We have,

[tex]9\sqrt{x}-3\sqrt{x}[/tex]

We need to combine these terms.

Taking out common factors, we get

[tex]=(9-3)\sqrt{x}[/tex]

[tex]=6\sqrt{x}[/tex]

The result after subtracting the radicals is [tex]6\sqrt{x}[/tex].

Therefore, the correct option is B.

an item is regularly priced at $85. Martina bought it on sale for 20% off the regular price. How much did Martina pay?

Answers

Answer:

$68

Step-by-step explanation:

Answer:

68 is what she bought it for

Step-by-step explanation:

got it right

Select the correct answer.

Which expression is equivalent to

Answers

Answer:

B : √5g^5h^2

Step-by-step explanation:

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