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
baherus [9]
3 years ago
8

Find three consecutive odd integers where the sum of the two largest is seven less than three times the smallest.

Mathematics
1 answer:
Basile [38]3 years ago
5 0

Answer:

<h3>              13, 15, 17</h3>

Step-by-step explanation:

x    - an integer  then  2x + 1 is an odd number  (the smallest one)

consecutive odd numbers increase by 2

so the next odd number (the middle number) is:

2x + 1 + 2 = 2x + 3

and the third (the largest) consecutive is:

2x + 3 + 2 = 2x + 5

the sum of the the two largest numbers is:

2x + 3 + 2x + 5

3 times the smallest number is:  

3(2x + 1)  

the sum of the two largest is seven less than three times the smallest, so:

2x + 3 + 2x + 5 = 3(2x + 1) - 7

4x + 8 = 6x + 3 - 7

   -6x       -6x

-2x + 8 = -4

   -8       -8

-2x  = -12

÷(-2)    ÷(-2)

  x = 6

2x+1 = 2•6+1 = 13

2x+3 = 2•6+3 = 15

2x+5 = 2•6+5 = 17

Check:

2x+3+2x+5 = 15+3+15+5 = 38

38+7 = 45

45÷3 = 15

You might be interested in
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
MissTica

A number line ranges from minus 5 to 5 with increment of 1 unit. Left, Point F is plotted on the number line at minus 3. Right, point G is plotted on the number line at 1.50, then the distance between F and G is 4.50.

Calculating the Distance between F and G:

It is given that, on a number line,

Point F is located at -3

Point G is at 1.50

Since, 1.5 > (-3) and each number is at a 1 unit difference form the adjacent number on the number line,

The difference between F and G = 1.50 - ( -3 )

This implies that the distance between F and G = 1.50 + 3

= 4.50 units

The numbers lying between the points F and G on the number line are: -2, -1, 0, and 1

Learn more about a number line here:

brainly.com/question/13189025

#SPJ1

3 0
2 years ago
HELP!<br> What is the missing term? What is the rule? 8 9/10, 7 7/10, 6 1/2 , _________
KengaRu [80]

Answer:

5 3/10

Step-by-step explanation:

You subtract 1 1/5 from the number (n).

(In equation) x = n - 1 1/5

5 0
3 years ago
Read 2 more answers
Does (3/2)^2 equal 2
Viktor [21]

Answer:

no

Step-by-step explanation:

3/2*3/2= 9/4

9/4= 2 1/4

3 0
3 years ago
Describe what probability is and how it is used in the real world. Explain how to calculate probability of an event. Explain the
slavikrds [6]

Answer:

Nearly every day you use probability to plan around the weather. Meteorologists can't predict exactly what the weather will be. So they use tools and instruments to determine the likelihood that it will rain, snow or hail.

Step-by-step explanation:

6 0
3 years ago
A survey team is trying to estimate the height of a mountain above a level plain. From one point on the plain, they observe that
Alex73 [517]

Answer:  3528.25

Step-by-step explanation:Make a sideview sketch

you should have 2 triangles, one right-angled containing the height and a scalene triangle with angles 24° , 153° (the supplement of 27°) and 3°

the side opposite the 3° angle is 1000

by let the side opposite the 24° be x, (also the hypotenuse of the right-angled triangle)

x/sin24 = 1000/sin3

x = 1000sin24/sin3

let the height of the mountain be h

sin 27 = h/x

h = x sin27 = (1000sin24/sin3)(sin27)

= 3528.25

8 0
3 years ago
Other questions:
  • A first number plus twice a second number is 88. twice the first number plus the second totals 3131. find the numbers.
    11·1 answer
  • What side lengths do the area models of 45 and 60 have in common?
    6·2 answers
  • a ladder that is 15 feet long reaches the window of a building 12 feet above the ground .Whaf is the distance from the base of t
    12·1 answer
  • What is the value of x in the equation −6 + x = −3?
    14·2 answers
  • "In the diagram, m = 128° and m = 76°. What is mABC?
    9·2 answers
  • Determine if the following sets of quadratics are equivalent. Choose true or false. x 2 - 10x + 14 = 0 and (2x - 10)2 = 156 (x -
    6·1 answer
  • The Carolina panthers play 8 home games each year.Tickets cost an average of $35. The stadium seats 74,000 people. Revenue is a
    9·1 answer
  • Pls answer quick asdasdasdsad
    12·2 answers
  • HELP PLEASE THANK U BAES
    11·1 answer
  • An object is moving at speed of 8 miles per year. Express this speed in meters per
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!