The product of three consecutive integers is 3360. What is the sum of the three integers?

Answers

Answer 1

Step-by-step explanation:

let the integer be x .

three consecutive integers : x, x+1, x+2.

according to the problem,.

Let the first of the 3 consecutive numbers be X.

Therefore the second number is (X + 1)

The third number is therefore (X + 2)

The product of the 3 consecutive numbers is:

( X )( X + 1 )( X + 2 ) = 3360 Equation( 1 )

Expanding Equation ( 1 ) gives

X³ + 3X² + 2X - 3360 = 0 Equation (2)

Solve Equation (2 ) which gives the following values for X

X1 = 14

X2 = - 8.5 + i (12.951834)

X3 = - 8.5 - i (12.951834).

the numbers are 14,15,16.

sum is 14+15+16 = 45.

hope this helps you.


Related Questions

The measures of the exterior angles of a heptagon are x°, 2x°, 3x°, 5x°, 7x°, 8x°, and 10x°. Solve for x.

Answers

Answer:

x = 10

Step-by-step explanation:

Exterior angles in any polygon always measure 360°

x + 2x + 3x + 5x + 7x + 8x + 10x = 360°

36x = 360

  x = 360/36

  x = 10

Answer:

80 dagreea

Step-by-step explanation:

I NEED HELP WITH GEOMETRY

Answers

Answer:

a) 136 square units

b) 92 square units

Step-by-step explanation:

A)

The triangle is worth:

16 * 16 / 2 = 128 + 16 * 16 / 2 = 128 = 256.

There is a rectangle in the middle with deletes 120 square units from 256.

256 - 120 = 136, so the first shape equals 136 square units.

B)

The smaller shaded triangles is 32 square units because 8 * 8 / 2 = 32.

The biggest one would be 15 * 8 / 2 = 60 square units.

32 + 60 = 92 square units.

Hope this helped!

Answer:

a. 136 [tex]units^{2}[/tex]

b. 92 [tex]units^{2}[/tex]

Step-by-step explanation:

a. Find the area of the triangle and the area of the rectangle, then subtract the area of the rectangle by the triangle.

Area of triangle: bxh / 2 = 32x16 / 2

                                       = 512 / 2

                                       = 256

Area of rectangle: bxh = 20 x 6

                                     = 120

Total area: 256 - 120 = 136 [tex]units^{2}[/tex]

b. Just like a., find the area of the white triangle and the rectangle, then subtract the area of the triangle by the rectangle.

Area of triangle: bxh / 2 = 23x8 / 2

                                       = 184 / 2

                                       = 92

Area of rectangle: bxh = 23 x 8

                                     = 184

Total area: 184 - 92 = 92 [tex]units^{2}[/tex]

PLS HELP ME NO SPAM ONLY HELP IF YOU KNOW TYSM

Answers

Answer:

j = 37

Step-by-step explanation:

angle j = angle k corresponding angles

-4x-12-2x+7=10-2x-8-3x

-6x-5=2-5x

-5-2=-5x+6x

x= -7 sub back into j=

the difference of 10 and u?

Answers

Answer:

10-u

Step-by-step explanation:

the variable u can be any number, one that we don't know of.

Ali and Khamis are solving 4a-5b=7 for b. Is either of them correct ? Explain.
PLS I'LL MARK YOU BRAINLIST DIRECTLY !!!

Answers

Ali is correct because you shouldn’t deliver the minus in the 5b number

Answer:

Ali is correct

Step-by-step explanation:

khamis is wrong

he got his negative numbers and positive numbers mixed up when taking it to the other side

Find the area of the triangle below.
Be sure to include the correct unit in your answer.
14 yd
15 yd
17 yd

Answers

Answer:

17 yd

Step-by-step explanation:

Cause why not?

Carry on learning:)

At a carnival, Ryan bought 16 packs of 6 tickets each. He also found 8 more tickets on the ground. How many tickets did Ryan have in all?

Answers

Answer:

104

Step-by-step explanation:

16 packs of 6 tickets

so... 16 x 6 = 96

96 + 8 = 104

Use the table from problem 1 to complete this problem.
Write an exponential decay function to represent the amount of medicine, M, left in the body after t, hours.
A.M(t)=(0.85)t

B.M(t)=400(0.85)t

C.M(t)=15(400)t

D.M(t)=400(0.15)t

Answers

Answer:

C

Step-by-step explanation:

M is t so 15x400 will b C


ASAP PLEASE!!!
Find the measure of the indicated angles.show work.complete sentence a. m<QRP = ____
b. m<QRX = ____​

Answers

The measure of m<QRX and m<QRP are 129 and 51 degrees respectively.

The sum of the interior angle of a triangle is 180 degrees, hence;

m<QPR + m<QRP + M<PQR = 180

Substitute the given parameters

49 + m<QRP + 80 = 180

m<QRP + 129 = 180

m<QRP = 180 - 129

m<QRP = 51 degrees

The sum of interior angle is equal to the exterior

m<QPR +  M<PQR = m<QRX

m<QRX = 49 + 80

m<QRX = 129 degrees

Hence the measure of m<QRX and m<QRP are 129 and 51 degrees respectively.

Learn more here: https://brainly.com/question/23327304

(Find the length of the missing side in each triangle)​

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The relevant trig relations are summarized by the mnemonic SOH CAH TOA. This means ...

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

  Tan = Opposite/Adjacent

So, for each triangle, determine the relationships of the given sides to the given angle: adjacent, opposite, or hypotenuse. Then write and solve the equation using one of the above templates.


What additional piece of information is needed to show that ABC is congruent to XYZ by AAS?

Answers

D because That is the most reasonable answer
D i took that test a couple days ago

A line passes through the point (8, 6) and has a slope of - 3/2

Answers

Answer:

y = - 3/2x + 18

Step-by-step explanation:

y-intercept: 6 - (-3/2)(8) = 6 + 12 = 18

y = -3/2x + 18

5 1/6
I need this for tomorrow please help??

Answers

Approxmiately 5.167

It's 1.56 repeating but you can round it to 5.167 or 5.17

Issebelles car holds 16 gallons of gas the fuel gauge shows that the tank is 3/4 full how many gallons of gas are in the tank

Answers

Answer:Do it yourself.

Step-by-step explanation:

Explain one way you can tell these lines are parallel.

Plz help, and Paragraph or sentences

Answers

If the slope is the same but they have 2 different y-intercepts, the lines are parallel.

Remember that y=mx+b, where m is slope and b is y-int, y and x are variables.

Example:

y=3x+5 and y=3x+1

Parallel because the slope is the same.

y=3x-2 and y=2x-1

NOT parallel because the slope is different.

Hope that helps

PLS HELP WILL MAK BRAINLIEST NO FAKE ANSWERS!!!

Answers

Answer:

look below

Step-by-step explanation:

a)

x ÷ 60 = num of days

b)

if we substitute x for 280,

280 ÷ 60 = 4.3333...

It will take 4.333 days (4 days 8 hr) to complete the novel.

Solve for x
9x-6=5x-10

Answers

Answer:

-1

Step-by-step explanation:

9x-6=5x-10

Group like terms

9x-5x=-10+6

4x=-4

Divide both sides by 4

x=-1

Hope it helps.

Answer:

x=-1

Step-by-step explanation:

4x=-10+6

4x-10+6

4x=-4

x=-4÷4

What does 2^10/4^42 equal

Answers

If you calculate 20^10/4^42 then you will find out it equals25

Marie has 25 cards. Each card has a different symbol on it. Marie gives one card to Shelly and one card to Pauline. In how many different ways can Marie do this?

Answers

50 different ways. Do I have to list them? Could I also have brainliest?

Answer:

600

Step-by-step explanation:

Rob has budgeted $77 per month for his phone bill. Line access for calls and SMS texts costs $50, and each GB of data is an additional cost. After paying for access, he has enough money left for exactly 6 GB. He decides he wants to download 2 apps, and the apps cost $4.75 each. Rob also buys a ringtone that costs $2.50. How much more money, in dollars, does he need to pay for 4 GB?

Answers

Answer:

speed=distance/time

so..

8=distance/15.

120km= distance

Step-by-step explanation:

I believe you just preferred the answer but not how i got it..But even so. Wish you luck.

Paisley needs to order some new supplies for the restaurant where she works. The restaurant needs at least 587 glasses. There are currently 307 glasses. If each set on sale contains 20 glasses, which inequality can be used to determine the minimum number of sets of glasses Paisley should buy?

as a equation please

Answers

Answer:

The restaurant needs at least 587 glasses

587-307 = 280

each set contains 20 glasses

14 sets contain 280 glasses

let the minimum number of sets be x

x ≥ 14

The inequality represents the minimum number of sets of glasses Paisley should buy is 14 ≥ x.

The relationship between two or more expressions that is either greater or less than each other but not equal to each other is called inequality.

Given that:

Number of glasses the restaurant needs = 587

Number of glasses the restaurant has = 307

Since each set contains 20 glasses, the total number of glasses in "x" sets would be 20x.

The equation can be set as:

Total glasses needed ≥ Current glasses + Glasses in sets to buy

Substitute the values in the above inequality:

587 ≥ 307 + 20x

280 ≥ 20x

14 ≥ x

The inequality represents the minimum number of sets of glasses Paisley should buy is 14 ≥ x.

Learn more about inequality here:

https://brainly.com/question/20383699

#SPJ3

Which statement compares the two numbers correctly?
6x
+3x
+2x
100
six hundred twenty-nine thousandths
1000
06x
6x+3x) +2xਰ)
six hundred twenty-nine thousandths
1
O।
+2
= six hundred twenty-nine thousandths
100
six hundred twenty-nine thousandths < 6x
( 6 x+2+ਰ ) + 2 ਅਰਹਰ)
> 6 x+2+ਚ) • ਅਰ)
O six hundred twenty-nine thousandths > 6x

Answers

Answer:

1

Step-by-step explanation:

Line B passes through the points (5, 10) and (0,0). What is the slope of the line
perpendicular to line B?
O 1
2
مسیر
1
2
o –
O2
None of the other answers are correct

Answers

Answer:

1/2 DID THE TEST

Step-by-step explanation:

YOU WILL DO YOU GOOD LUCK

An airplane has a wingspan of 20 feet and a length of 15 feet. If the model of this airplane has a wingspan of 8 inches, what is the length of this model?

Answers

Answer:

The length of the model is 6 inches.

Step-by-step explanation:

The wingspan of the airplane and length of the airplane are a ratio of 4:3

The model is also supposed to be 4:3.

4:3 x 2 = 8:6

Or, 20x12=240

240/8=30

15x12=180

180/30=6.

Answer:

6 inches

Step-by-step explanation:

Evaluate each of the expressions below using the given value.

Answers

Answer:

23

Step-by-step explanation:

2a/3+13

Because a=15, we can substite a for 15...

2(15)/3+13

Solve...

30/3+13

10+13

23

The answer is 23.

Maths ( a ship was travelling on a bearing of 270°. Another way of discribing its direction is? )
A)north
B)south
C) east
D) west

Answers

Answer:

Step-by-step explanation:

It starts at 0 degrees which is the x axis going east. 270 degrees, by convention goes counter clockwise. So that takes you to the minus y axis. You are not going south.

Given M || N, Find the value of X and Y

Answers

Answer:

Step-by-step explanation:

9x -1 +5x -15 = 180 supplementary angles

14x = 196

x = 14 sub into

5x -15= y -20 opposite angles

5(14) -15+20 =y

75 = y.

Peter bought a pen for $120 and sold it to gain 20% on his cost price. How much did he gain?

Answers

Answer: He gained 24 dollars.

Step-by-step explanation:

What’s the missing number?

Answers

Answer:

missing number is 5

Step-by-step explanation:

idunno

50 pts
A cube has a volume of 73 cubic centimeters. What is its surface area in
square centimeters?
Just type the number of the answer

Answers

Answer:

can't gfygdgdgyfdfzdfxdgguf

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