1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
a_sh-v [17]
3 years ago
8

The sum of three consecutive integers is 105. What are the three integers?

Mathematics
2 answers:
sasho [114]3 years ago
5 0

Answer:

34

35

36

Step-by-step explanation:

Here we will use algebra to find three consecutive integers whose sum is 105.

We assign X to the first integer. Since they are consecutive, it means that the 2nd number will be X+1 and the third number will be X+2 and they should all add up to 105. Therefore, you can write the equation as follows:

X + X + 1 + X + 2 = 105

To solve for X, you first add the integers together and the X variables together. Then you subtract 3 from each side, followed by dividing by 3 on each side. Here is the work to show our math:

X + X + 1 + X + 2 = 105

3X + 3 = 105

3X + 3 - 3 = 105 - 3

3X = 102

3X/3 = 102/3

X = 34

Which means that the first number is 34, the second number is 34+1 and third number is 34+2. Therefore, three consecutive integers that add up to 105 are:

<u>34 </u>

<u>35 </u>

<u>36</u>

Ira Lisetskai [31]3 years ago
3 0

Answer:

34, 35, 36

Step-by-step explanation:

34 + 35 + 36 = 105

You might be interested in
Write the name (in words) of each shaded amount below each shape.
zalisa [80]

1. One half

2. One half

3. One quarter

8 0
2 years ago
When x2+3x-4 is subtracted from x (x2+3x-2) what is the difference
tankabanditka [31]
I'm assuming this is x^2 + 3x - 4 and x(x^2 + 3x - 2)

1.) First distribute x(x^2 + 3x - 2) to get x^3 + 3x^2 - 2x.

2.) Because you are subtracting all the terms from x^3 + 3x^2 - 2x, it's the same thing as distributing -1 to x^2 + 3x - 4 and then adding it to x^3 + 3x^2 - 2x.

3.) -1(x^2 + 3x - 4) = -x^2 - 3x + 4

4.) Add (x^3 + 3x^2 - 2x) + (-x^2 - 3x + 4)

5.) x^3 + 2x^2 - 5x + 4 is your final answer.

5 0
3 years ago
Read 2 more answers
Simplify, THEN evaluate for x = 3, y = -4, and z= -2.<br> 7(x - y) - 3(2 + 2x)
Tamiku [17]

Answer:  25

<u>Step-by-step explanation:</u>

   7(x - y) - 3(2 + 2x)

= 7x - 7y  - 6  - 6x

=   x - 7y  - 6

for x = 3, y = -4

      3 - 7(-4) - 6

=     3 + 28  - 6

=         31     - 6

=             25

8 0
3 years ago
The distance between each base on a field is 90 ft. How far does a catcher have to throw the ball from home plate to second base
Gnoma [55]

Step-by-step explanation:

A baseball field is in the shape of a square (or diamond).  Home plate and second base are opposite corners of each other.  So the distance is equal to the diagonal of the square.

Use Pythagorean theorem to find the diagonal, or use properties of a 45-45-90 triangle.

Using Pythagorean theorem:

c² = a² + b²

c² = (90 ft)² + (90 ft)²

c = 90√2 ft

c ≈ 127 ft

7 0
3 years ago
What does 4.23×9 equal
nata0808 [166]
<span>4.23 times 9 equals 38.07 :)</span>
8 0
3 years ago
Read 2 more answers
Other questions:
  • Compute<br>-85.8+(-42.7)=
    11·1 answer
  • For each random variable, state whether the random variable should be modeled with a Binomial distribution or a Poisson distribu
    6·1 answer
  • 17. The length of a rectangle is 3 inches greater than its width. The perimeter is 28 inches.
    14·1 answer
  • In circle P, BC = 24 ft. What is the length of AC
    12·1 answer
  • I will give Brainliest AND a Cookie!
    5·2 answers
  • What is all the square numbers that are all greater than 20 but less than 50
    8·1 answer
  • Which of the following is equivalent to tan 1-1)?<br> 究<br> 6<br> -<br> E |<br> 3<br> 4<br> ग<br> 2
    12·1 answer
  • Sampson has a list of items that are on sale to pick up at the store. The sale items are the following:
    11·2 answers
  • Quentin purchased 5 arrowheads for $1.75 each. He
    6·2 answers
  • Maya wants to build a bookshelf with a top, a bottom, and two shelves inside. She wants the height of the entire bookshelf to be
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!