The product of 3 consecutive integers is 4,896. What is the largest of the three consecutive numbers?

Answers

Answer 1

Answer:

18

Step-by-step explanation:

1. Try to create an equation. We can say that the first number is x and the following numbers are x+1 and x+2. That means that x*(x+1)*(x+2)=4896.

2. Solve and Simplify. x^3+3x^2+2x=4896.

3. Solve and Simplify (2) I'm assuming that you're not looking for the complex solutions, so x=16.

4. Find the 3rd number. 16+2=18

Answer: 18 is the largest number of the three


Related Questions

How could you use a multiplication algorithm to multiply a 4-digit number by a 1-digit number?
Choose all that apply.



Multiply each place value in order. Regroup if needed. Add any regrouped values to each place value.



Add the digits in the 4-digit number and multiply by the 1-digit number.



Multiply to find the partial products and then add.



Use place value to rewrite the 4-digit number as a sum. Use the Distributive Property to find partial products. Add.



Multiply the digits in the 4-digit number and add the 1-digit number.

Answers

Answer:

is 1,2,3 the answer ? if not what is the answer cuz im doing the same question

Step-by-step explanation:

Solve the problem by entering and solving an equation.
A rectangular picture frame has a perimeter of 52 inches. The height of the frame is 12 inches. What is the width of the frame?

Answers

Given : A rectangular picture frame has a perimeter of 52 inches. The height of the frame is 12 inches.

To Find : The width of the frame .

Solution : Let us take the width of the frame be x . So , we know the formula to find the perimeter of rectangle as ;

[tex]\boxed{\red{\bf Perimeter_{rectangle}=2(l+b)}}[/tex]

Where , l is the length of the rectangle and b is the breadth of the rectangle .

⇒ Perimeter = 2 ( l + b ) .

⇒ 52 in. = 2 ( 12 + x ) in.

⇒ 52 in.= 24in. + 2x .

⇒ 2x =( 52 - 24 ) in

⇒ 2x = 28 in.

⇒ x = 28/2 in.

⇒ x = 14 in.

Hence the width of the rectangle is 14 inches.

20x+x-2=4 rational equation​

Answers

Answer:

x = 2/7

Step-by-step explanation:

Step 1: Write equation

20x + x - 2 = 4

Step 2: Solve for x

Combine like terms: 21x - 2 = 4Add 2 to both sides: 21x = 6Divide both sides by 21: x = 6/21Simplify: x = 2/7

Step 3: Check

Plug in x to verify it's a solution.

20(2/7) + 2/7 - 2 = 4

40/7 + 2/7 - 2 = 4

42/7 - 2 = 4

6 - 2 = 4

4 = 4

Answer:

x = 2/7

Step-by-step explanation:

Collect like terms:

20x + x = 21x ----> 21x - 2= 4

Move the constant to the right hand side and change the sign of the constant:

21x = 4 + 2

Calculate:

21x = 4 + 2 ---> 21x = 6

Divide both sides by 21:

21/21 and 6/21 = 2/7

Solution:

x = 2/7 or x= 0.285714

Carmine paid an electrician x dollars per hour for a 5-hour job plus $70 for parts. The total charge was $320. Which equation can be used to determine how much the electrician charged per hour? (Tek 7.10A)

Answers

Answer:

First one (5x=320-70)

Step-by-step explanation:

If she paid 70$ for parts, then you have to subtract it from 320$ because that is the total. Therefore, 5x will be equal to 320-70 or 5x=320-70 :)

What is a possible third side to a triangle with side lengths of 13 and 4?

Answers

The possible third side to a triangle is 12.

Given that,

The side length is 13 and 4.We need to find the third side length.

Based on the above information, the calculation is as follows:

Here we use the pythagoras theorem.

[tex]= \sqrt{13^2 - 4^2} \\\\= \sqrt{169-16} \\\\= \sqrt{153}[/tex]

= 12.37

= 12

Learn more: brainly.com/question/17429689

How many solutions does the equation have?
3(d+11) = 6(d +33)
O 0
O 1
O infinitely many

Answers

9514 1404 393

Answer:

  1 solution

Step-by-step explanation:

The coefficients of d are different on the two sides of the equation (3d vs 6d), so the equation has one solution.

__

Dividing by 3 gives ...

  d +11 = 2(d +33)

  d + 11 = 2d + 66

Adding -d-66 to both sides gives ...

  -55 = d . . . . . . the one solution

Answer:

The answer is B

Step-by-step explanation:

i took the test and 1 was correct so.

Which 2 subjects are 2 unit apart

Answers

Answer:

I believe that your answer is C and Moon.

Question 1/ Which of the following describes the slopes of parallel lines? 1. same slope 2. zero slopes 3. different slopes 4. have no slope

Question 2/ what is the slope of the line represented by y = -5x + 2?

Question 3/ which of the following would be parallel to the graph of 2x -3y = 18?

Question 4/ What is the slope of the line that is parallel to the graph of y = -4x - 12​

Answers

i think it’s b but i could be wrong

eight water faucets having the same rate of flow,fill a tank in 27 minutes.If two faucets are turned off,how long will the remaining 6water faucets take to fill the tank?​

Answers

Answer:

36 minutes

Step-by-step explanation:

If x is the flow rate of each faucet, then 8x is the flow of eight faucets, and the volume of the tank is:

V = (8x) (27)

V = 216x

When there are six faucets, the time is:

216x = (6x) t

t = 36

line m passes through point (-2,-1) and is perpindicular

Answers

Perpendicular slope is the opposite reciprocal

The sum of twice a number n and 8 is less than 25

Answers

Answer:

2n+8=25

Equation

Step-by-step explanation:

n=8.5

This is the answer

A submarine is diving to a total depth of 57 feet. It descends 10% of the total depth in 1 minute. How deep will the submarine be after 2 minutes?

Answers

Answer:

11.4

Step-by-step explanation:

10% of 57 is 5.7

5.7 in 1 min

5.7*2 for 2 min

you get 11.4

Hooray! You solved the problem!

Answer:

It's 11.4 Feet

Step-by-step explanation:

If it takes the sub 1 minute to go down 10% of 57 feet, then another minute will be another 10%. So 10% = 5.7 feet, and 10% + 10% = 11.4 feet.

In a group of 80 people, 50 can speak Nepali, 45 can speak English and 7 of them do not
speak both languages.
a) Find the number of people who speak both languages.
b) Also illustrate the above information in Venn diagram.​

Answers

Answer:

Universal set is 80

Number of people that speak Nepali is 50

Number of people that speak English is 45

Number of people that do not speak both is 7

a. Number of people that speak both languages is 22

b. As above

Step-by-step explanation:

a. Let make number of people that speak both languages x

To get x

(50-x) + (45-x) + x + 7 = 80

(50-x) + (45-x) + x = 80 - 7

(50-x) + (45-x) + x = 73

Open bracket

50-x+45-x+x= 73

50+45-2x+x = 73

95 - x = 73

-x = 73 - 95

-x = -22

x = 22

Therefore, number of people that speak both languages is 22

b. To get venn diagram

Number of people that speak Nepali is 50 - 22 = 28

Number of people that speak English is 45 - 22 = 23

Therefore, total = 28+23+22+7 = 80

Lorie is using long division to find the quotient of x^3 + 6x^2 + 5 and x^2 + x -1, as shown at the bottom of this question.

What mistake did Lorie make?

A. She added an extra term to the dividend.

B. She combined the constants incorrectly in the last step.

C. The second term in the quotient should be 7.

D. The last term in the quotient has an incorrect denominator.

Answers

Answer:

Option (B)

Step-by-step explanation:

x² + x - 1) x³ + 6x² + 0x + 5 ( x + 5

           - (x³ +   x²  -  x)

                      5x² + x + 5

                    -(5x² + 5x - 5)

                             -4x + 10

Result : [tex]x+5+\frac{-4x+10}{(x^{2}+x-1)}[/tex]

By the comparing the result with the Lorie's solution,

She made a mistake in the last step in which she combined the constant incorrectly.

Therefore, Option (B) will be the answer.

у
STEPS
1.
2
(0,1)
2.
3.
X
6
-310
4
-2
(4, -2)
+4
slope

Answers

AnsweI'm nauseous, I'm dyin'

(She ripped my heart right out)

Can't find her, someone to

(My eyes are all cried out)

Lost it, riots

Gunfire inside my head, I've

Lost it, riots

Gunfire inside my headr:

Step-by-step explanation:

The graph below shows the amount of money Janet earned at her new job.
Janet's Earnings
у
80
70
60
50
Money Earned ($)
40
30
20
10
0
2 4 6 8 10 12 14 16
Hours Worked
How much does Janet earn per hour?

Answers

Answer:

b

Step-by-step explanation:

The amount of money Janet earns per hour is given by the slope of the line m = $ 7.50

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 4 , 30 )

Let the second point be Q ( 8 , 60 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = amount of money Janet earns per hour

So , slope m = ( 60 - 30 ) / ( 8 - 4 )

On simplifying , we get

The amount of money Janet earns per hour = 30/4

The amount of money Janet earns per hour = $ 7.50

Hence , the amount of money Janet earns = slope = $ 7.50

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ7

What is the answer to -1x(-2)

Answers

Answer: 2x

Step-by-step explanation:

Answer:

2x

Step-by-step explanation:

Since there's two negative signs, the product should be positive. Just multiply 1x and 2 together to get the answer. :D

Angle 9 and angle 8 are what kind of angles? *
2
8/1
6/5
11/12
Alternate Interior Angles
Same Side Interior Angles
Corresponding Angles
Alternate Exterior Angles
What is the value of x.

Answers

Answer:

Angle 9 and Angle 8 they are the same

Step-by-step explanation:

Answer:

1,2,5

Step-by-step explanation:

also this one! :( pls help again! thanks.

Answers

Answer:

9 is the answer

2+1x1000000000000000000

Answers

Answer:

30000000000000000.. ....

What are reasons A, B, and C in the proof?

Prove: (4 · 3)l + (2 · 4)l = 20l

Statements Reasons
(4 · 3)l + (2 · 4)l = (4 · 3)l + (4 · 2)l A. _________________
= 4(3l + 2l) B. _________________
= 4(5l) Addition
= (4 · 5)l C. _________________
= 20l Multiplication

Answers

Answer:

A. Commutative property

B. Associative and distributive properties.

C. Associative property.

Step-by-step explanation:

We proceed to present which reason are utilized by supporting procedure:

1) [tex](4\cdot 3) \cdot i +(2\cdot 4)\cdot i[/tex] Given

2) [tex](4\cdot 3)\cdot i +(4\cdot 2)\cdot i[/tex] A. Commutative property

3) [tex]4\cdot (3\cdot i+2\cdot i)[/tex] B. Associative and distributive properties.

4) [tex]4\cdot (5\cdot i)[/tex] Addition.

5) [tex](4\cdot 5)\cdot i[/tex] C. Associative property.

6) [tex]20\cdot i[/tex] Multiplication/Result.

is 33 a prime or a composite number​

Answers

Answer: 33 is a composite number


Explanation: The number 33 is not a prime number because it is possible to express it as a product of prime factors. In other words, 33 can be divided by 1, by itself and at least by 3 and 11. So, 33 is a 'composite number

Answer:

A composite number

Step-by-step explanation:

because it is possible to express it as a product of prime factors. In other words, 33 can be divided by 1, by itself and at least by 3 and 11. So, 33 is a 'composite number'.

is 2 tenths + 11 hundredths greater than 0.14?

Answers

2 tenths + 11 hundredths is greater than 0.14.

2 tenths +11 hundredths is 3 tenths and 1 hundredth, or 0.31

Given vectors a = (2, 6) and b = (-3, 4), find – 3 a +5b.
Write your answer in component form.

Answers

Answer:

[tex]\huge\boxed{-3\overrightarrow{a}+5\overrightarrow{b}=\left<-21;\ 2\right>}[/tex]

Step-by-step explanation:

[tex]\overrightarrow{a}=\left<2;\ 6\right>\\\\\overrightarrow{b}=\left<-3;\ 4\right>\\\\-3\overrightarrow{a}+5\overrightarrow{b}=-3\left<2;\ 6\right>+5\left<-3;\ 4\right>=\left<-3\cdot2;\ -3\cdot6\right>+\left<5\cdot(-3);\ 5\cdot4\right>\\\\=\left<-6;\ -18\right>+\left<-15;\ 20\right>=\left<-6+(-15);\ -18+20\right>=\left<-21;\ 2\right>[/tex]

Grace is measured for her annual check up. She is 28 1/5 inches tall. Last year she was 25 3/5 inches tall. How much did she grow in one year?

Answers

Answer:

2 3/5 inches in a year

Step-by-step explanation:

28 1/5 - 25 3/5 = 141/5 - 128/5 = 13/5 = 10/5 + 3/5 = 2 + 3/5 = 2 3/5

In the game of​ roulette, a wheel consists of 38​ slots, numbered​ 0, 00,​ 1, 2,​ ..., 36. To play the​ game, a metal ball is spun around the wheel and allowed to fall into one of the numbered slots. The slots numbered 0 and 00 are​ green, the odd numbers are​ red, and the even numbers are black. To simulate outcomes from spinning the​ wheel, a researcher used the integer distribution to randomly generate 1000 numbers from 1 to​ 38, where 37 represents 0 and 38 represents 00.

Required:
a. What is the probability that the metal ball lands on green or red?
b. What is the probability that the metal ball does not land one green?

Answers

Answer:

hkkkkkkkkv

Step-by-step explanation:

khvvvvvvvvvvvvvvv

HELP PLEASE !!!!!!!!!!!!!!!!!!

Answers

Answer:

?

Step-by-step explanation:

A contractor bought 8?2 ft2 9f sheets of metal. she has used 3.5ft2 so far has 84.60 worth of sheets metal remaining. the equation 8.2x-3.5x=84.6 represents how much sheet is remening and the cost of the remaining. how much does the sheet metal cost per square foot?​

Answers

Answer:

The ratio 19/25 is the same as 76/100, or 0.76.

Multiplying this by 100%, we get 76%, the percentage of questions answered correctly.

Subtracting 76% from 100% results in 24%, which is the percentage of questions not answered correctly.

Step-by-step explanation:

Which of the pairs of events below is mutually exclusive?

Select the correct answer below:



drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards


drawing a 2 and drawing a 4 with replacement from a standard deck of cards



drawing a heart and then drawing a spade without replacement from a standard deck of cards


drawing a jack and then drawing a 7 without replacement from a standard deck of cards

Answers

Answer:

Drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards.

Step-by-step explanation:

Given four pair of events:

1. Drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards

2. Drawing a 2 and drawing a 4 with replacement from a standard deck of cards

3. Drawing a heart and then drawing a spade without replacement from a standard deck of cards

4. Drawing a jack and then drawing a 7 without replacement from a standard deck of cards

To find:

Which of the pairs is mutually exclusive?

Solution:

First of all, let us have a look at the definition of mutually exclusive events.

Mutually exclusive events do not have any case in common.

In other words, two events are known as mutually exclusive when both the events can not occur at the same time.

Now, let us have a look at the given options one by one:

1. Drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards.

We know that there is only one ace of spades in a standard deck.

Therefore, the two events can not occur one after the other, so these are mutually exclusive events.

2. Drawing a 2 and drawing a 4 with replacement from a standard deck of cards.

The two events can occur one after the other, so these are not mutually exclusive.

3. Drawing a heart and then drawing a spade without replacement from a standard deck of cards.

Separate cards are drawn one after the other, so not mutually exclusive.

4. Drawing a jack and then drawing a 7 without replacement from a standard deck of cards.

Separate cards are drawn one after the other, so not mutually exclusive.

you have been planning to buy a new swimsuit this year. you just found one that you really like that is 50% off. if the original cost of the swimsuit is $24 how much is it now?

Answers

Answer:

$12

Step-by-step explanation:

50% is half off of something, which in this case would be the $24, so you would just take half off the 24. So you could divide it by 2 which would be 12.

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