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
blagie [28]
3 years ago
10

find three consecutive odd integers such that the sum of the last two is 15 less than 5 times the first​

Mathematics
1 answer:
Viefleur [7K]3 years ago
3 0

2n + 1 , 2n + 3 , 2n + 5

____________________________

( 2n + 5 ) + ( 2n + 3 ) = 5 × ( 2n + 1 ) - 15

4n + 8 = 10n + 5 - 15

4n + 8 = 10n - 10

Add both sides 10

4n + 8 + 10 = 10n - 10 + 10

4n + 18 = 10n

Subtract both sides 4n

4n - 4n + 18 = 10n - 4n

18 = 6n

Divide both sides by 6

18 ÷ 6 = 6n ÷ 6

n = 3

_________________________________

Thus that three numbers are :

2(3) + 1 , 2(3) + 3 , 2(3) + 5

6 + 1 , 6 + 3 , 6 + 5

7 , 9 , 11

And we're done ....

You might be interested in
Find the equation of the axis of symmetry of the following parabola algebraically.
mr Goodwill [35]

Answer:

the equation of the axis of symmetry is x=8

Step-by-step explanation:

Recall that the equation of the axis of symmetry for a parabola with vertical branches like this one, is an equation of a vertical line that passes through the very vertex of the parabola and divides it into its two symmetric branches. Such vertical line would have therefore an expression of the form: x=constant, being that constant the very x-coordinate of the vertex.

So we use for that the fact that the x position of  the vertex of a parabola of the general form: y=ax^2+bx+c, is given by:

x_{vertex}=\frac{-b}{2\,a}

which in our case becomes:

x_{vertex}=\frac{-b}{2\,a} \\x_{vertex}=\frac{48}{2\,(3)} \\x_{vertex}=\frac{48}{6} \\x_{vertex}=8

Then, the equation of the axis of symmetry for this parabola is:

x=8

4 0
3 years ago
What is the square root of Pi
Sauron [17]

The square root of Pi is approximately 1.77245.

8 0
3 years ago
Read 2 more answers
Sonal went to school for 219 days in a full year. if her attendance is 75 percent find the number of days on which the school wa
Charra [1.4K]
Sonal went to school for 219 days in a full year. if her attendance is 75 percent find the number of days on which the school was open

7 0
3 years ago
Find the solution to the following equation by transforming it into a perfect square trinomial.
Alja [10]
x^{2} -12x=13\ \ \ \Leftrightarrow\ \ \ x^2-2\cdot x\cdot 6+6^2-6^2=13\\\\ \Leftrightarrow\ \ \ (x-6)^2=13+36\ \ \ \Leftrightarrow\ \ \ (x-6)^2=49\ \ \ \Leftrightarrow\ \ \ (x-6)^2=7^2\\\\x-6=7\ \ \ \ \ \ \ or\ \ \ \ \ \ \ \ x-6=-7\\\\x=13\ \ \ \ \ \ \ \ \  \ \ \ \ \ \ \ \ \ \ \ \ x=-1\\\\Ans.\ x\in \{-1,\ 13\}
6 0
3 years ago
Read 2 more answers
What is the slope of a linear that is perpendicular to the line y=-1/2x+5?​
Vlada [557]

Step-by-step explanation:

Equation of given line is:

y =  -  \frac{1}{2} x + 5 \\  \\ equating \: it \: with \: y =m_1x + c  \\ we \: find \:  \\ m_1 = -  \frac{1}{2} \\ let \: m_2 \: be \: the \: slope \: of \: required \: line \\  \\  \therefore \: m_1 \times m_2 =  - 1( \because \: lines \: are \:  \perp) \\  \\ \therefore \: -  \frac{1}{2} \times m_2 =  - 1\\  \\ \therefore \: m_2 = 2 \\

Thus, the slope of required line is 2.

6 0
3 years ago
Other questions:
  • Please help. I need answers quick. Please explain how you got your answer.
    15·1 answer
  • What is the surface area of a box that is 20.1 m long, 6.8 m wide and 7.4 m high?
    6·1 answer
  • What is the volume of a triangular prism that is 10cm long, 7 cm wide and 4 cm high
    7·1 answer
  • Given the functions, f(x)=30x4+9x3+27x2−21x−17 and g(x)=6x+3, divide f(x) by g(x) and simplify.
    7·1 answer
  • Please help with 19 and 20 and explain
    11·2 answers
  • Please Help! I'm stuck!
    15·1 answer
  • A 2 digit square whose digits add up to an even number
    7·1 answer
  • Divide r+5/r2+5r-14 by r2+4r-21/r-2
    8·1 answer
  • You spin the spinner once. What is P(less than 3 or prime)?<br><br> •3/5<br> •2/5<br> •1<br> •3/4
    13·1 answer
  • What is the measure of angle M?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!