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
zhannawk [14.2K]
3 years ago
15

The sum of 2 consecutive odd integers is 52. If x represents the smaller integer, then the larger integer is

Mathematics
2 answers:
julsineya [31]3 years ago
5 0

Answer:

27

Step-by-step explanation:

2x+2=52

2x=50

x=25

x+2=27

Alex73 [517]3 years ago
4 0
In order to find the larger integer, we simply add 2 to x.
This may sound confusing, but consider that 1 is an odd number. Add 2, and you get 3. Add 2, and you get 5, and so on. By adding 2 to an odd number, you'll get another odd number (this works for even numbers too!).

The equation should be
x + (x + 2) = 52
2x + 2 = 52
2x = 50
x = 25
25+2=27

The larger integer is 27
You might be interested in
A statement Sn about the positive integers is given. Write statements Sk and Sk+1, simplifying Sk+1 completely. Show your work.
pentagon [3]

\displaystyle S_k = \sum\limits_{i=1}^k{i(i+1)} = \dfrac{k(k+1)(k+2)}{3} \\ \\ S_{k+1} = \sum\limits_{i=1}^{k+1}{i(i+1)} = \dfrac{(k+1)(k+1+1)(k+1+2)}{3}=\\ \\ = \dfrac{(k+1)(k+2)(k+3)}{3}

4 0
3 years ago
The ordered pair (0,0) represent the location of the
Ratling [72]
Point? I'm pretty sure or the origin point
5 0
3 years ago
Solve each Algebraic Equation
Alexus [3.1K]

Answer:

x=83

y=69

k=71

a=117

q=51

x=9

p=-42

Step-by-step explanation:

4 0
3 years ago
The distance between the point (2,1,1) and the plane x-2y=5 is​
Eduardwww [97]

The given plane has normal vector

x-2y=5\implies\mathbf n=\langle1,-2,0\rangle

Scaling <em>n</em> by a real number <em>t</em> gives a set of vectors that span an entire line through the origin. Translating this line by adding the vector <2, 1, 1> makes it so that this line passes through the point (2, 1, 1). So this line has equation

\mathbf r(t)=\langle1,-2,0\rangle t+\langle2,1,1\rangle=\langle 2+t, 1-2t, 1\rangle

This line passes through (2, 1, 1) when <em>t</em> = 0, and the line intersects with the plane when

x-2y=5\implies(2+t)-2(1-2t)=5\implies5t=5\implies t=1

which corresponds the point (3, -1, 1) (simply plug <em>t</em> = 1 into the coordinates of \mathbf r(t)).

So the distance between the plane and the point is the distance between the points (2, 1, 1) and (3, -1, 1):

\sqrt{(2-3)^2+(1-(-1))^2+(1-1)^2}=\boxed{\sqrt5}

7 0
3 years ago
Find the product: (6n-4)(3n-8)
lara [203]
The product is 18n^2-48n-12n+32 which simplifies to 18n^2-60n+32. I got this using the FOIL method (First, Outer, Inner, Last)
6 0
3 years ago
Other questions:
  • VVVVVVVVVVVVVVVVVVVVVVVVV
    13·1 answer
  • Emily was going to sell all of her stamp collection to buy a video game. After selling half of them she changed her mind. She th
    6·2 answers
  • I need help asap plot it or locate it!
    13·2 answers
  • The length of the room is 25 feet longer than it is wide. The area is 176 square units. Find the dimensions of the room
    11·2 answers
  • Someone can help me with this one please ?
    9·1 answer
  • Help please!!!!!!!!!!!!
    7·1 answer
  • How does the sketch of a graph of function help describe its behavior
    9·1 answer
  • You have two rocks: Rock A has a mass of 40g and volume of 8cm3 and Rock B has a mass of 60g and a volume of 30 cm3. Which rock
    5·1 answer
  • Tom and Jeremy have a circular pool with a diameter of 12 feet.​What is the circumference of the pool?
    5·1 answer
  • Does anybody have the answer to this
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!