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
ale4655 [162]
3 years ago
10

Find two consecutive odd integers such that their product is 111 more than 3 times their sum​

Mathematics
1 answer:
ziro4ka [17]3 years ago
7 0

Answer:

The numbers are -9 and -7 or 13 and 15

Step-by-step explanation:

Let

x and x+2 ----> two consecutive odd integers

we know that

x(x+2)=3[x+x+2]+111  

Solve for x

x(x+2)=3[x+x+2]+111\\ \\x^{2}+2x=6x+6+111\\ \\x^{2}-4x-117=0

Solve the quadratic equation by graphing

The solution is x=-9, x=13

see the attached figure

<em>First solution</em>

x=-9

x+2=-9+2=-7

The numbers are -9 and -7

<em>Second solution</em>

x=13

x+2=13+2=15

The numbers are 13 and 15

You might be interested in
How do you solve 7.2&gt;0.9(n+8.6)
labwork [276]
7.2>0.9(n+8.6)
multiply 0.9 by all in parentheses

7.2> (0.9*n) + (0.9*8.6)
7.2> 0.9n + 7.74

subtract 7.74 from both sides
-0.54> 0.9n

divide both sides by 0.9
-0.6> n

ANSWER: -0.6> n

Hope this helps! :)
6 0
3 years ago
Find the volume of the cubes or rectangular prisms in cubic centimeters.
DanielleElmas [232]

a) Volume of Rectangular prism is \frac{36}{125}\,\,cm^3

b) Volume of cube is \frac{8}{125}\,\,cm^3

c) Volume of cube is \frac{1}{125}\,\,cm^3

d) Volume of Rectangular prism is \frac{6}{125}\,\,cm^3

Step-by-step explanation:

Part a)

Volume of rectangular prism with

length= \frac{3}{5}\,\,cm

width= \frac{4}{5}\,\,cm

height = \frac{3}{5}\,\,cm

The formula used to find Volume of rectangular prism is:

Volume\,\,of\,\,rectangular\,\,prism=length*width*height

Putting values:

Volume\,\,of\,\,rectangular\,\,prism=\frac{3}{5} *\frac{4}{5} *\frac{3}{5}\\Volume\,\,of\,\,rectangular\,\,prism=\frac{36}{125}\,\,cm^3

So, Volume of Rectangular prism is \frac{36}{125}\,\,cm^3

Part b)

Volume of cube with side length of \frac{2}{5}\,\,cm

The formula used to find Volume of cube is:

Volume\,\,of\,\,cube=length^3

Putting value of length and finding volume:

Volume\,\,of\,\,cube=length^3\\Volume\,\,of\,\,cube=(\frac{2}{5})^3\\ Volume\,\,of\,\,cube=\frac{8}{125}\,\,cm^3

So, Volume of cube is \frac{8}{125}\,\,cm^3

Part c)

Volume of cube with side length of \frac{1}{5}\,\,cm

The formula used to find Volume of cube is:

Volume\,\,of\,\,cube=length^3

Putting value of length and finding volume:

Volume\,\,of\,\,cube=length^3\\Volume\,\,of\,\,cube=(\frac{1}{5})^3\\ Volume\,\,of\,\,cube=\frac{1}{125}\,\,cm^3

So, Volume of cube is \frac{1}{125}\,\,cm^3

Part d)

Volume of rectangular prism with

length= \frac{1}{5}\,\,cm

width= \frac{2}{5}\,\,cm

height = \frac{3}{5}\,\,cm

The formula used to find Volume of rectangular prism is:

Volume\,\,of\,\,rectangular\,\,prism=length*width*height

Putting values:

Volume\,\,of\,\,rectangular\,\,prism=\frac{1}{5} *\frac{2}{5} *\frac{3}{5}\\Volume\,\,of\,\,rectangular\,\,prism=\frac{6}{125}\,\,cm^3

So, Volume of Rectangular prism is \frac{6}{125}\,\,cm^3

Keywords: Volume

Learn more about Volume at:

  • brainly.com/question/6443737
  • brainly.com/question/12497249
  • brainly.com/question/12613605

#learnwithBrainly

6 0
3 years ago
Can anyone help me? pt.1
dlinn [17]

Answer:

write si quema kehhhhhhhhhhhh kehh ok

or si quema cuhhhhhh cuhhhhhhhh ok

8 0
3 years ago
PLEASE HELP 7TH GRADE MATH
grigory [225]

Answer:

B. 224

Step-by-step explanation: 42/60 means that 70 % of people ride the school bus. So 70 percent of 320 is 224. Hope this helps

7 0
3 years ago
Multiply the polynomials. (4x2 + 3x + 7)(8x – 5)
Triss [41]
32x^3+4x^2+41x-35

hope it helps

4 0
3 years ago
Read 2 more answers
Other questions:
  • 2x squared + 9x=-5 i need to solve for x
    12·1 answer
  • What is the value of the equation f(x) =2x -3x +7 when x equals 2
    14·1 answer
  • Which is greater 1 millennium or 10 centuries?
    8·2 answers
  • P=x/n solve for x please help
    8·1 answer
  • Helppppppppppppppppppppppppppppp
    15·2 answers
  • Grace loves to download new music. She originally had 47 songs but plans to purchase 3 new songs each week. She wants to know ho
    11·2 answers
  • Brandi needs to wrap a birthday present for her friend's party. Each side length is 16.7 in. What is the minimum amount of paper
    9·1 answer
  • If d(x) = x2 - 7x - 7, find d(x - 1).​
    12·1 answer
  • Find the value of n<br><br><br><br><br>1) 15/40 =n/3​
    14·1 answer
  • Kingsley knows that 111 inch is about 2.542.542, point, 54 centimeters. He wants to write an equation he can use to convert any
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!