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
Leona [35]
1 year ago
11

The sum of an integer and 6 times the next consecutive odd integer is 61. Find the

Mathematics
1 answer:
vfiekz [6]1 year ago
4 0

If the sum of an integer and 6 times the next consecutive integer is 61, the the value of lesser integer is 7

Consider the first odd integer as x

Then the next consecutive odd integer = x+2

The 6 times the second integer=  6(x+2)

= 6x+12

Sum of an integer and 6 times the next consecutive odd integer is 61

Then the equation will be

x + 6x+12 = 61

Add the like terms in the equation

(1+6)x + 12 = 61

7x +12 = 61

Move 12 to the right hand side of the equation

7x = 61-12

7x = 49

x = 49/7

x = 7

The second number is

x+2 = 7+2

= 9

Hence, if the sum of an integer and 6 times the next consecutive integer is 61, the the value of lesser integer is 7

Learn more about equation here

brainly.com/question/28741857

#SPJ1

You might be interested in
The length of a rectangle is 8cm less than twice it's width find the the dimensions of the rectangle if the area is 120cm(2)
Anton [14]

Answer:

15 cm

Step-by-step explanation:

so:

if A= b x h and web have b Just Do the inverse formula:

H = a/b h=120/8 = 15 cm

Sorry for my bad English but I'm italian

5 0
3 years ago
Which expression can be used to find the volume of the sphere?
Kryger [21]

Answer:

They used 3.14 for pi:

V=\frac{4}{3} \pi r^3

V=\frac{4}{3} (3.14)(5)^3

Step-by-step explanation:

V=\frac{4}{3}\pi r^3 is the volume of a sphere with radius r.

I think that is the diameter given in the picture.

The radius is half the diameter.

So the radius is 5 since the diameter is 10.

Plug in this gives you:

V=\frac{4}{3} \pi (5)^3

4 0
3 years ago
Read 2 more answers
Find all possible values of k so that x^2 + kx - 32 can be factored.
daser333 [38]

Answer:

Step-by-step explanation:

The posssible factors are

x^2 + 4x - 32

(x+8)(x-4)

x^2+ 14x - 32

(x+16)(x-2)

(x+32)(x-1)

x^2+31x-32

8 0
3 years ago
The weather man predicts a 35% chance of rain today. He predicts a 60% chance of rain tomorrow. What is the probability that it
sineoko [7]

Answer:

21%.

Step-by-step explanation:

This would be 0.35*0.60 = 0.21 or 21%.

The probabilities are multiplied because the 2 events are independent.

8 0
3 years ago
<img src="https://tex.z-dn.net/?f=1%5Cfrac%7B3%7D%7B10%7D" id="TexFormula1" title="1\frac{3}{10}" alt="1\frac{3}{10}" align="abs
vfiekz [6]

Answer:

\frac{1}{30}

Step-by-step explanation:

Change the mixed number into an improper fraction

1 \frac{3}{10} = \frac{13}{10}, hence

\frac{13}{10} ÷ 39

To divide, leave the first fraction, change division to multiplication and turn 39 upside down, that is

= \frac{13}{10} × \frac{1}{39}

cancel the 13 and 39 by dividing both by 13

= \frac{1}{10(3)} = \frac{1}{30}


4 0
3 years ago
Other questions:
  • Find the trigonometric integral. (Use C for the constant of integration.)
    8·1 answer
  • Clover the clown charges $49.50 for a private party event and $55.25 for a community event. he did 4 private party events and 3
    7·1 answer
  • What is the midpoint of the coordinate F( -2, 4) and G(6, 1)
    8·1 answer
  • Graph the line with slope 1 passing through the point (5,1).
    14·2 answers
  • What is the answer to (-2x-1)-(x-7)
    6·1 answer
  • How many 1/3-​yard long pieces of wood can be cut from​ 1-yard long piece of​ wood?
    6·1 answer
  • The graph shows the relationship between the total cost and the number of gift cards that Raj bought for raffle prizes.
    13·1 answer
  • 1. Create a polynomial function, f(x), with the following characteristics.
    9·1 answer
  • What is the explicit formula of the arithmetic sequence?<br> -9, -6, -3, 0....
    12·1 answer
  • Easy problem for you guys to solve
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!