All categories

2 years ago

The sum of three consecutive integers is 9. What is the equation that represents the scenario?

Mathematics

2 answers:

bonufazy [111]2 years ago

7 0

Answer:

N+(N+1)+(N+2)=9

Step-by-step explanation:

just did it on edge

<em>Yee Yee</em> MERICA

larisa [96]2 years ago

3 0

The equation that represents the scenario is:

Option 1: n + (n + 1) + (n + 2) = 9

Step-by-step explanation:

We have to convert the given statement in an equation. As the variable used in the choices is n, so we will also use n.

Let n be an integer

then

The next integer will be n+1

and next integer to n+1 will be n+1+1 = n+2

So,

putting it in equation form

$n + (n+1) + (n+2) = 9$

Hence,

The equation that represents the scenario is:

Option 1: n + (n + 1) + (n + 2) = 9

Keywords: Variables, equations

Learn more about equations at:

#LearnwithBrainly

You might be interested in

On a certain route, an airline carries 8000 passengers per month, each paying $70.A market survey indicates that for each $1

son4ous [18]

Answer:

The maximum revenue is $661,250.

Step-by-step explanation:

The total revenue (R) is the product between the number of passengers (N) and the price of each ticket (P), so the inicial revenue is:

R = N * P = 8000 * 70 = $560,000

For each 1$ increase in the ticket, the airline loses 50 passengers, so if we call "x" the increase in the ticket price, we have that the revenue equation will be:

R = (8000-50*x) * (70+x) = 560000 + 8000*x - 50*70*x -50x2

R = -50*x2 + 4500*x + 560000

The value of x that gives the maximum value of a quadratic function is found using the formula:

x = -b/2a

where a and b are coefficients of the quadratic equation (in our case, a = -50 and b = 4500)

So the value of x that gives the maximum revenue is:

x = -4500 / (-100) = 45

Using this value in the revenue equation, we have that the maximum R is:

R = -50*45^2 + 4500*45 + 560000 = $661,250

(To get this revenue, the ticket will cost 70+45 = $115 and there will be 8000-50*45 = 5750 passengers)

3 0

2 years ago

A football team plays in a large stadium. With a ticket price of $17, the average attendance at recent games has been 50,000.

Verizon [17]

Answer:

a. N(x) = 50000 - 200x

b. R(x) = (50000-200x)(17+x)

Step-by-step explanation:

a. Given,

The the original price of each ticket = $ 17,

Also, the average attendance = 50,000

Let x be the number of times the original price of each ticket is increased by $ 1,

Also, for each $1 increase in the ticket price, attendance decreases by 200,

Thus, decrements in the attendance = 200x,

If N(x) represents the new average attendance,

Then,

N(x) = 50000 - 200x

Which is the required function,

b. Now,

Revenue = average attendance × price of each ticket

R(x) = N(x) × ( 17 + x )

⇒ R(x) = (50000-200x)(17+x)

Which is the required function.

3 0

3 years ago

The length of a rectangle is 5 inches longer than it is wide. If the area is 150 square inches, what are the dimensions of the r

ikadub [295]

Answer:

Width: 10 inches

Length: 15 inches

Step-by-step explanation:

Let the width be w.

Since the length is 5 inches longer than its width, the length = w +5.

Area of rectangle = length x width

w (w +5) = 150

w^2 + 5w = 150

w^2 + 5w -150 = 0

Using quadratic formula,

w = 10 or -15

Since the width cannot be negative,

the width is 10 inches.

Now just substitute w=10 into length = w +5.

length = 10 + 5

= 15 inches

5 0

3 years ago

Read 2 more answers

each month for 7 months, samuel mwos 3 lawns. How many more lawns does he need to mow before he has mowed 29 laws?

ira [324]

He needs to mow 8 more lawns

6 0

3 years ago

Read 2 more answers

(29) A runner is running 10 miles per hour.

leva [86]

The conversions factors needed are 1 mile= 5280 feet and 1 hour = 3600 seconds, speed in ft/s = 14.67 ft/s

<u>Solution: </u>

Given, A runner is running 10 miles per hour.

We have to find what conversion factors should be used to convert 10 mi/hr to ft/s?

Now, speed of runner = 10 miles per hour.

But we need the units to be in ft / s.

Then, conversion factors are miles to feet and hours to seconds.

Now, miles to feet ⇒ 1 mile = 5280 feet.

Now, hours to seconds ⇒ 1 hour = 3600 seconds

$\begin{array}{l}{\text { So,speed }=10 \frac{\text { miles }}{\text { hour }}} \\\\ {\text { speed }=10 \times \frac{1 \text { miles }}{1 \text { hour }}} \\\\ {\text { Speed }=10 \times \frac{5280 \text { feet }}{3600 \text { seconds }}} \\\\ {\text { Speed }=\frac{52800}{3600}=14.67 \mathrm{ft} / \mathrm{s}}\end{array}$

Hence, the conversions needed are 1 mile = 5280 feet and 1 hour = 3600 seconds, speed in ft/s = 14.67 ft/s

6 0

2 years ago