MATHEMATICS COLLEGE

Find three consecutive integers whose sum is 216. (Hint: if n represents the smallest of the three integers, n + 1 and n + 2 representthe other two numbers.)

Answers

Answer 1

Answer:

Answer:

71, 72, 73

Step-by-step explanation:

So we want to find three consecutive integers that equal 216.

Let the first integer be n.

Then the second integer is n+1, and the third integer is n+2.

Thus:

$n+(n+1)+(n+2)=216$

Combine like terms:

$3n+3=216$

Subtract 3 from both sides:

$3n=213\n$

Divide 3 from both sides:

$n=71$

So, the first term is 71.

And the other two is 72 and 73.

And we are done :)

Related Questions

Which are true regarding the statement "A quadrilateral having exactly one pair of parallel opposite sides is a trapezoid”? Check all that apply. It is a conditional statement that can be written as “If a quadrilateral has exactly one pair of parallel opposite sides, then it is a trapezoid.” The hypothesis is: a quadrilateral having exactly one pair of parallel opposite sides. The hypothesis is: it is a trapezoid. The conclusion is: a quadrilateral having exactly one pair of parallel opposite sides. The conclusion is: it is a trapezoid.
What is the greatest number that rounds to 500 when rounded to the nearest ten?
2. Solve the following problems involving simple interest. RecallSimple Interest-INT=PV*r*tAn investor decides to offer a business owner a $45,000 loan at simple interest of 3.5%per year. Find the total amount in dollars, the investor will receive when the loan isrepaid after 7 years.
Solve the following system of equations using the elimination method.7x + 20y = 142x – 10y = 4Question 18 options:A) (3,1)B) (2,0)C) (4,–5)D) (–3,4)
25 points!!! Please help but DON'T give an answer pls Am i right?

A well is 7 meters deep, and a snail climbs up from the bottom of the well.It climbs 3meters during the day and falls 2 meters at night.How many days can the snail crawl out of the well?

Answers

Answer:

Step-by-step explanation:

The number of bacteria at the beginning of an experiment was 30 and the bacteria grow at an hourly rate of 1.4 percent. Using the model given by () = 0e, estimate the number of bacteria, rounded to the nearest whole number after 20 hours.

Answers

Answer:

The estimated number of bacteria after 20 hours is 40.

Step-by-step explanation:

This is a case where a geometrical progression is reported, which is a particular case of exponential growth and is defined by the following formula:

$n(t) = n_(o)\cdot \left(1+(r)/(100) \right)^(t)$ (1)

Where:

$n_(o)$ - Initial number of bacteria, dimensionless.

$r$ - Increase growth of the experiment, expressed in percentage.

$t$ - Time, measured in hours.

$n(t)$ - Current number of bacteria, dimensionless.

If we know that $n_(o) = 30$ , $r = 1.4$ and $t = 20\,h$ , then the number of bacteria after 20 hours is:

$n(t) = 30\cdot \left(1+(1.4)/(100) \right)^(20)$

$n(t) \approx 39.616$

$n(t) = 40$

The estimated number of bacteria after 20 hours is 40.

Please help will give brainliest

Answers

Answer:

I'm not completely sure but i'm going to guess on D the domain is 1 < f < 7, the range is 24 < c(f) < 168

Step-by-step explanation:

because 1 cup is < to a cup of Flour (f), and the expression says 7 cups in total so i f is less than or equal to the total number of cups 7. then the range says c(f)=24(f), meaning you get 24 cookies for the input amount "f" of cups of flour. So the range would be 24 is grater of equal to the c(f)which in total (7 x 24) is equal to 168

Emily simplified this expression. Expression: (5−2)2+23×4 Step 1: (3)2+23×4 Step 2: 9+23×4 Step 3: 9+9×4 Step 4: 9+36 Step 5: 45 Emily made a mistake. Which step shows her first mistake? Step 1 Step 2 Step 3 Step 4

Answers

Answer:

Step 2 shows Emily's first mistake.

Step-by-step explanation:

3(2) = 6

But instead of this Emily wrote 3(2) = 9.

Determine whether −3x−y2=−1 is a function.

Answers

The equation −3x − y² = −1 is not a function because it violates the definition of a function where each input should have a unique output.

To determine whether the equation −3x − y² = −1 represents a function, we need to check if there is a unique output (y) for every input (x) or if there are multiple outputs for the same input. In other words, we need to ensure that each x-value maps to only one y-value.

First, let's rearrange the equation to isolate y²:

−3x − y² = −1

y² = 3x - 1

Now, it's evident that for a single value of x, there could be two possible values of y due to the square root. This means that for some values of x, there would be multiple outputs (y-values). Therefore, the equation −3x − y² = −1 is not a function because it violates the definition of a function where each input should have a unique output.

To know more about function click here :

brainly.com/question/32599830

#SPJ3

Answer:

No (not a function)

Step-by-step explanation:

Begin by isolating the y-term to find

−3x−y2−y2y2=−1=3x−1=−3x+1

For each value of x, we multiply it by −3, add 1, and then take the square root to get the y-value. For example, if x=−8, we have

y2y2y2y=5=−3x+1=−3(−8)+1=25ory=−5

We have that if x=−8, then y=5 or y=−5. In other words, a single value of x results in more than one value of y. Since some value of x corresponds to more than one value of y, the equation does not define a function.

What is the solution to the following inequality X/-2 > 5