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
zysi [14]
3 years ago
5

Find two consecutive integers whose sum is -29

Mathematics
1 answer:
LuckyWell [14K]3 years ago
8 0

Example:

The sum of two consecutive integers is -15.  What is the product of the two integers?

x = 1st consecutive integer

x + 1 = 2nd consecutive integer   {consecutive integers increase by 1}


x + x + 1 = -15   {the sum of two consecutive integers is -15}

2x + 1 = -15   {combined like terms}

2x = -16   {subtracted 1 from each side}

x = -8   {divided each side by 2}

x + 1 = -7   {substituted -8, in for x, into x + 1}


-8 and -7 are the two consecutive integers


Their product is 56.

​


You might be interested in
10. Un átomo de potasio tiene 19 protones en el núcleo y 20 neutrones. A partir de estos datos, a) ¿Cuál será su número atómico?
hram777 [196]

Answer:

translate this to English and I'll help!(:

6 0
2 years ago
A jar contains 6 blue, 4 red, and 2 green marbles. What is the probability that three blue marbles are drawn with out replacemen
ch4aika [34]

Answer:  The required probability is 9.09%.

Step-by-step explanation:  Given that a jar contains 6 blue, 4 red, and 2 green marbles.

We are to find the probability that three blue marbles are drawn with out replacement.

Total number of marbles = 6 + 4 + 2 = 12.

After drawing one blue marble, we are left with total 11 marbles. And after drawing the second blue marble, we are left with total 10 marbles.

Therefore, the probability of drawing three blue marbles without replacement is given by

p\\\\\\=\dfrac{^6C_1}{^{12}C_1}\times\dfrac{5C_1}{^{11}C_1}\times\dfrac{^4C_1}{^{10}C_1}\\\\\\=\dfrac{6}{12}\times\dfrac{5}{11}\times\dfrac{4}{10}\\\\\\=\dfrac{1}{11}\\\\\\=\dfrac{1}{11}\times100\%\\\\=9.09\%.

Thus, the required probability is 9.09%.

6 0
3 years ago
What is the radius of a circle whose equation is X^2 plus Y^2 -10X +6 X +18=0?
frosja888 [35]

ANSWER

The radius is 4

EXPLANATION

The given equation is:

{x}^{2}  +  {y}^{2}  - 10y + 6x + 18 = 0

We complete the square to get the expression in standard form:

{x}^{2}  + 6x +  {y}^{2}  - 10y  + 18 = 0

{x}^{2}  + 6x +  9 + {y}^{2}  - 10y  + 25  =  - 18 + 9 + 25

We factor using perfect squares to get:

{(x + 3)}^{2}  +  {(y - 5)}^{2} =  16

This implies that,

{(x + 3)}^{2}  +  {(y - 5)}^{2} =   {4}^{2}

Comparing to

{(x  - h)}^{2}  +  {(y - k)}^{2} =   {r}^{2}

The radius is r=4

3 0
3 years ago
Estimate 200,629 +28,542
Alinara [238K]
200,629 \approx 201,000\\28,542 \approx 29,000\\\\ 201,000 + 29,000 = 230,000\\200,629 + 28,542 \approx 230,000
5 0
3 years ago
Read 2 more answers
What is the value of x?<br><br> enter your answer in the box
antiseptic1488 [7]

Answer:

2(x+10) = 3x-30          (reason: vertical angles are congruent)

2x+20 = 3x-30

20 = 1x-30

1x = 20+30

1x = 50

x = 50

5 0
3 years ago
Read 2 more answers
Other questions:
  • A flower bed is in the shape of a rectangular prism. It’s dimensions are 3 feet wide by 16 feet long by 6 inches deep.
    5·1 answer
  • A sailboat has a mast that holds a triangular sail.The sail has a base of twelve meters and a height of nine meters. The cost of
    14·2 answers
  • P(x)-x15x-48x + 450, x è 3 is an approximation to the total profit (in thousands of dollars) from the sale of x hundred thousand
    11·1 answer
  • What is 8,000,000,60,0000,53 expanded form
    7·1 answer
  • The phrase "six less than twice y" can be represented by the algebraic expression.
    7·2 answers
  • Need help please!!! <br> “ALL THE YOUNG DUDES” “CARRY THE NEWSSSS””
    15·1 answer
  • 5+2+2(5)+3=4(5) plr help me​
    9·2 answers
  • What is the co-efficient of ab in the equation <br><img src="https://tex.z-dn.net/?f=%282a%20-%205b%29%20%5E%7B2%7D%20" id="TexF
    11·1 answer
  • Use three of the numbers 3, 4,
    8·2 answers
  • What is the measure of
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!