All categories

3 years ago

The sum of the least and greatest of three consecutive integers is 72 . what are three integers?

1 answer:

Ber [7]3 years ago

7 0

If the integers are consecutive, then each one is 1 more than the one before it.

Three consecutive integers are x, x+1, and x+2 .

The sum of the least and the greatest is (x   + x+2) = 2x + 2 .

You have said that this sum is 72. So    2x + 2 = 72

Subtract 2 from each side:     3x    = 70
Divide each side by 2 :    x      = 35 .

The smallest is 'x' = 35
The next one is x+1 =    36
The next one is x+2 = 37 .

Check:
The sum of the least and greatest is (35 + 37) = 72. yay!

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

A slightly slicker, more fun way to do this:

Three consecutive integers.
Call the middle one 'x'.
Then the smallest one is (x-1), and the biggest one is (x+1).

The sum of the smallest and the largest one is 72 .

   (x-1) + (x+1) = 72

   2x = 72

   x = 36

   (x-1) = 35
      x    = 36
   (x+1) = 37 .

You might be interested in

A Real estate agent receives a commission of 9% on property sold through her. What is her commission on a sale of $42,000?

NISA [10]

Answer:

$ 3780 will be commission

Step-by-step explanation:

as the commission is 9 % of the total amount of property sold

property sold for = 42000 $

9 % of the total property= 0.09 x 42000

= 3780 $

3 0

2 years ago

Read 2 more answers

Given the parabola below, find the endpoints of the latus rectum. (x-2)^2=-20(y+2)

Shtirlitz [24]

Answer:

The endpoints of the latus rectum are $(12, -7)$ and $(-8, -7)$ .

Step-by-step explanation:

A parabola with vertex at point $C(x, y) = (h,k)$ and whose axis of symmetry is parallel to the y-axis is defined by the following formula:

$(x-h)^{2} = 4\cdot p \cdot (y-k)$ (1)

Where:

$y$ - Independent variable.

$x$ - Dependent variable.

$p$ - Distance from vertex to the focus.

$h$ , $k$ - Coordinates of the vertex.

The coordinates of the focus are represented by:

$F(x,y) = (h, k+p)$ (2)

The latus rectum is a line segment parallel to the x-axis which contains the focus. If we know that $h = 2$ , $k = -2$ and $p = -5$ , then the latus rectum is between the following endpoints:

By (2):

$F(x,y) = (2, -2-5)$

$F(x,y) = (2,-7)$

By (1):

$(x-2)^{2} = -20\cdot (-7+2)$

$(x-2)^{2} = 100$

$x - 2 = \pm 10$

There are two solutions:

$x_{1} = 2 + 10$

$x_{1} = 12$

$x_{2} = 2-10$

$x_{2} = -8$

Hence, the endpoints of the latus rectum are $(12, -7)$ and $(-8, -7)$ .

4 0

2 years ago

2 people answer this so i can give one of you brainliest2 people answer this so i can give one of you brainliest2 people answer

Furkat [3]

Answer:

ummmmm ok u wanted someone to answer

Step-by-step explanation:

also do u have any song ideas

4 0

2 years ago

Read 2 more answers

Please help :)

romanna [79]

Answer:

Step-by-step explanation:

one calculator price =30/5=6

cost price of 6 calculator=6*6=36

6 0

2 years ago

Read 2 more answers

Dentify the location of the values square root of 10, square root of 13, and twenty two ninths on the number line.

Goshia [24]

A number line is a system that shows the location of all directed numbers on a straight line. All numbers can be plotted on a number line. Thus the required answer to the given question is; Option A. Point A is twenty-two ninths, point B is square root of 10, and point C is square root of 13.

A line on which the locations of all directed numbers can be shown is termed a number line. It has two extreme ends ranging from -∞ to +∞. Note that all numbers can be plotted on a number line. So that the position of any given number can be shown on the line.

In the given question, we have:

i. square root of 10 = $\sqrt{10}$

= 3.2

ii. square root of 13 = $\sqrt{13}$

= 3.6

iii. twenty-two ninths = $\frac{22}{9}$

= 2.4

But it has been given that;

Number line with points plotted at; two and four-tenths labeled point A, three and two-tenths labeled point B, and three and six-tenths labeled Point C.

Therefore,

Point A is twenty-two ninths, point B is square root of 10, and point C is square root of 13.

Thus the correct option is A.

For more clarifications on number line visit: brainly.com/question/22567573

#SPJ1

6 0

1 year ago