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
Zepler [3.9K]
3 years ago
10

Find 2 consecutive integers whose sum is -97

Mathematics
1 answer:
blsea [12.9K]3 years ago
4 0

Answer:

The first integer is: -49

The second integer: -49+1 = -48

Solution Check:

-49+(-48) = -97

Step-by-step explanation:

Let the first integer: x

As we are looking for a consecutive integer, so

The second integer would be: x+1

We know the sum of these two integers is -97. Thus, we can write this equation and solve for 'x'.

x+\left(x+1\right)=-97

x+x+1=-97

2x+1=-97

2x=-98

Divide both sides by 2

\frac{2x}{2}=\frac{-98}{2}

x=-49

Therefore,

The first integer is: -49

The second integer: -49+1 = -48

Solution Check:

-49+(-48) = -97

You might be interested in
The total cost of 1 pencil and 2 erasers is £8, and the total cost of 2 pencils and 4 erasers is £20, as shown below:
Paul [167]

Answer:

see explanation

Step-by-step explanation:

The 2 equations are

x + 2y = 8 → (1)

2x + 4y = 20 → (2)

8 0
3 years ago
Find an equation of the line passing through the point ( 6 , − 4 ) (6,-4) and perpendicular to 9 x − 3 y = 9 9x-3y=9 . Write you
MrMuchimi

Answer:

y =-\frac{1}{3}-2

Step-by-step explanation:

We are given;

  • A point (6, -4)
  • An equation of a line, 9x - 3y = 9

We are required to determine the equation a line passing through a point (6, -4) and perpendicular to the given line;

  • To answer the question we need to get the gradient of the given line first.
  • We write the equation 9x - 3y = 9  in the form of y = mx + c, where m is the slope;
  • That is;

y = 3x -3

  • Thus, the slope of the line is 3

But; m₁ × m₂ = -1 (For perpendicular lines)

Therefore;

m₂ = -1 ÷ 3

    = -1/3

Therefore, the slope of the line in question is -1/3 and the line passes through (6, -4).

To get its equation, we get another point (x, y)

Then;

\frac{y+4}{x-6}=\frac{-1}{3}

Thus;

3(y+4) = -1(x-6)\\3y + 12 = -x+6

In the form of slope-intercept, the equation will be;

3y = -x - 6\\y =-\frac{1}{3}-2

Thus, the equation of the line is;

y =-\frac{1}{3}-2

7 0
3 years ago
Rewrite the expression as a multiple of a sum of two numbers with no common factor. <br> 30 + 12
fomenos
The expression 30 + 12 can be rewritten as 2x(13+8)
3 0
4 years ago
Read 2 more answers
Which of the following best describes the pattern in the diagram shown
Vikentia [17]

As you move from left to right, the number of points in the star increases by 1 and is the best option which describes the diagram which is therefore denoted as option B.

<h3>What is a Point?</h3>

This can be referred to an important object in geometry and is usually represented by a dot. It also helps to tell the exact location of substances or objects and doesn't have certain parameters such as the length or width.

We can deduce that Star 1 has four points, star 2 has five points and star 3 has six points. We can therefore infer that the stars in the diagram given below has some amount of points which increases by one as we move from left to right thereby making it the most appropriate choice in this type of scenario.

Read more about Point here brainly.com/question/17206319

#SPJ1

5 0
2 years ago
Estimate a 15% tip on a dinner bill of $43.66 by first rounding the bill amount to the nearest ten dollars.
Airida [17]

Answer:

$43.66 rounded to the nearest 10 =$40

15% of $40 = $6

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Angle theta lies in the second quadrant, and sin theta = 3/5. What is cos theta and tan theta?
    6·1 answer
  • A shipments of 8 boxes was delivered to mason bookstore each box holds the same number of book if there are 744 books in the shi
    7·2 answers
  • What is the density of 5 pennies if its 12.5 g/ 10ml?
    5·1 answer
  • there are 2 germs in a jar and they multiply by 2 every minute how many germs are there after a hour​
    14·1 answer
  • Homework help...Last question: Estimate the product of 15.217 × 9.54. Round each number to the nearest whole number.
    12·1 answer
  • What is the slope of any line parallel to line containing (-5,2)&amp;(1,8)
    6·1 answer
  • The value of the solid’s surface area is equal to the value of the solid’s volume. Find the value of x.
    7·1 answer
  • 9. Byron wants to use the distributive property to rewrite the addition problem below
    12·1 answer
  • What is the main problem with this paragraph
    14·1 answer
  • AC method, Factoring step by step I don't know how to do .
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!