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
snow_tiger [21]
3 years ago
12

The sum of two consecutive odd integers is 132. What are the two integers?

Mathematics
2 answers:
mixer [17]3 years ago
8 0

Answer:

65 and 67

Step-by-step explanation:

we can represent even numbers as 2n where n is an integer

so odd integers can be represented as 2n+1

consecutive odd integers are 2 apart (like 1,3,5, etc)

so we can represent the 2 odd consecutive integers as 2n+1 and 2n+3

their sum is 132

(2n+1)+(2n+3)=132

expand

2n+1+2n+3=132

4n+4=132

minus 4 from both sides

4n=128

divide both sides by 4

n=32

the numbers are 2n+1 and 2n+3

2n=2*32=64

2n+1=64+1=65

2n+3=64+3=67

the 2 integers are 65 and 67

sineoko [7]3 years ago
6 0

Answer:

65 and 67

Step-by-step explanation:

two consecutive odd numbers would look like this:

x and x + 2

this is because of how counting numbers works:

1  2  3  4  5  6  7

the consecutive numbers here would be 1, 3, 5, 7, etc.

if one number (x) was 1, the next number would be (x + 2) which is three. This formula will work for all consecutive odd numbers.

so, x + x + 2 = 132

2x + 2 = 132

      -2      -2

2x = 130

/2       /2

x = 65

the first number is x = 65

the second number is x + 2 which means this number is 65 + 2 = 67

(check: 65 + 67 = 132)

You might be interested in
Help help !! Please
JulijaS [17]

Answer:

mean = 70000

SD = 15239

X= 95000

Z  = (X-mean)/ SD

   = (95000-70000)/15239

   = 1.64

Now from Z-Table

% of employees = 100(1-.9495) = 5.02%

8 0
3 years ago
Select the correct answer.
wariber [46]

Answer:

<u>~Senpi boi here~</u>

Step-by-step explanation:

Multiply all terms by x and cancel:

x+2x+1=1x

3x+1=x(Simplify both sides of the equation)

3x+1−x=x−x(Subtract x from both sides)

2x+1=0

2x+1−1=0−1(Subtract 1 from both sides)

2x=−1

2x

2

=

−1

2

(Divide both sides by 2)

x=

−1

2

Check answers. (Plug them in to make sure they work.)

x=

−1

2

(Works in original equation)

<u>Answer:</u>

<u>x= −1/2</u>

<u>(</u>Hope this helps!)

5 0
1 year ago
Which linear inequality is represented by the graph? (A)y ≤1/3 x − 1 (B)y ≥ x − 1 (C)y &lt; 3x − 1 (D)y &gt; 3x − 1
lubasha [3.4K]

The equation of the line is \boxed{y \geqslant \frac{1}{3}x - 1}.

Further explanation:

The linear equation with slope m and intercept c is given as follows.

\boxed{y = mx + c}

The formula for slope of line with points \left( {{x_1},{y_1}} \right) and \left( {{x_2},{y_2}} \right) can be expressed as,

\boxed{m = \frac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}}

Given:

Explanation:

The line intersects y-axis at \left( {0, - 1} \right). Therefore, the y-intercept is -1.

The line passes through the points \left( {0, - 1} \right) and \left( {3,0} \right).

The slope can be obtained as follows,

\begin{aligned}m&= \frac{{0- \left( {- 1} \right)}}{{3 - 0}}\\&= \frac{1}{3}\\\end{aligned}

Substitute \dfrac{1}{3} for m, 3 for x and 0 for y in equation y = mx + c to obtain the value of c.

\begin{aligned}0& \frac{1}{3} \cdot 3 + c\\- 1&=c\\\end{aligned}

To check whether the equation includes origin substitute 0 for x and 0 for y in equation y \geqslant \dfrac{1}{3}x - 1.

\begin{aligned}0&\geqslant \frac{1}{3} \times 0 - 1 \\0&\geqslant - 1\\\end{gathered}

The statement is true. The equation contains origin.

The equation of the line is \boxed{y \geqslant \frac{1}{3}x - 1}.

Learn more:

  1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
  2. Learn more about equation of circle brainly.com/question/1506955.
  3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear equation

Keywords: numbers,slope, slope intercept, inequality, equation, linear inequality, shaded region, y-intercept, graph, representation, origin.

7 0
3 years ago
Read 2 more answers
Please help me and explain! (1 and 2)​
Ad libitum [116K]

1 is 384cm you multiply the 96 by 4 (because there is 96 4 times)

If I’m incorrect I’m sorry

8 0
2 years ago
A total of 638 tickets were sold for the school play. They were either adult tickets or student tickets. There were 62 fewer stu
UNO [17]
You need to subtract 638 and 62 and that will give 576
5 0
3 years ago
Other questions:
  • A 500 g bag of sugar costs N195. A 25 kg
    5·1 answer
  • How to find marginal profit function calculus?
    8·1 answer
  • What is the missing value?
    7·1 answer
  • If Z is the centroid of WXY, WR=87 SY=39 and YT=48 find each missing measure
    8·1 answer
  • Choose ALL the angles with a measure of 90°.
    6·2 answers
  • Could someone answer this please?
    5·2 answers
  • A dessert recipe calls for
    5·2 answers
  • Avery bought stock in a company two years ago that was worth x dollars. During the first year that she owned the stock, it incre
    15·1 answer
  • A line passes through the point (5,-6) and had a slope of -5. <br> write the equation for this line.
    7·1 answer
  • On a number line, the directed line segment from q to s has endpoints q at –14 and s at 2. point r partitions the directed line
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!