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
Margaret [11]
3 years ago
8

Two consecutive negative integers have a product of 30. what are the integers?

Mathematics
2 answers:
kolezko [41]3 years ago
5 0

Answer:

We have two sets of numbers

-6,-5        5,6

Step-by-step explanation:

Consecutive integers are next to each other

x, x+1

Product means multiply

x(x+1) = 30

Distribute

x^2 +x=30

Subtract 30 from each side

x^2 +x-30 = 30-30

x^2+x-30 =0

Factor

What 2 numbers multiply to give us -30 and add to 1

6 * -5 = -30

6-5 = -1

(x+6) (x-5) = 0

Using the zero product property

x+6=0   x-5=0

x=-6     x=5

x+1  is the next number

-6,-5        5,6

We have two sets of numbers

-6,-5        5,6

kupik [55]3 years ago
3 0

Answer:

The two numbers are -4 and -5.

Step-by-step explanation:


You might be interested in
John wants to make a 100 ml of 6% alcohol solution mixing a quantity of a 3% alcohol solution with an 8% alcohol solution. What
mart [117]

Answer:

-50 ml of 3% alcohol solution and 150 ml of 8% alcohol solution

Step-by-step explanation:

For us to solve this type of mixture problem, we must represent the problem in equations. This will be possible by interpreting the question.

Let the original volume of the first alcohol solution be represented with x.

The quantity of the first alcohol solution needed for the mixture is 3% of x

                   ⇒ \frac{3}{100} * x

                       = 0.03x

Let the original volume of the second alcohol solution be represented with y.

The quantity of the second alcohol solution needed for the mixture is 5% of y

                   ⇒ \frac{5}{100} * y

                       = 0.05y

The final mixture of alcohol solution is 6% of 100 ml

                 ⇒ \frac{6}{100} * 100 ml

                       = 6 ml

Sum of values of two alcohol solutions = Value of the final mixture

                     0.03x + 0.05y = 6 ml               ..........(1)

Sum of original quantity of each alcohol solution = Original volume of the of mixture

                     x + y = 100 ml                          ..........(2)      

For easy interpretation, I will be setting up a table to capture all information given in the question.

Component                       Unit Value      Quantity(ml)       Value

3% of Alcohol solution        0.03                 x                     0.03x

8% of Alcohol solution        0.08                 y                     0.08y

Mixture of 100ml of 6%        0.06               100                       6    

                                                                x + y = 100       0.03x + 0.08y =6

Looking at the equations we derived, we have two unknowns in two equations which is a simultaneous equation.

                                0.03x + 0.05y = 6 ml               ..........(1)

                                x + y = 100 ml                           ..........(2)    

Using substitution method to solve the simultaneous equation.

Making x the subject of formula from equation (2), we have,

                                x  = 100 - y                                 ..........(3)

Substituting  x  = 100 - y from equation (3) into equation (1)

                               0.03(100 - y) + 0.05y = 6  

                               3 - 0.03y + 0.05y = 6  

Rearranging the equation,            

                               0.05y - 0.03y = 6 - 3

                               0.02y = 3

                               y = \frac{3}{0.02}

                               y = 150 ml

Substituting y = 150 ml into equation (3) to get x

                              x  = 100 - 150 ml

                              x = - 50 ml

The quantity of the first alcohol solution needed for the mixture for 3% is - 50 ml

The quantity of the second alcohol solution needed for the mixture for 5% is 150 ml

This solution means 50 ml of the first alcohol solution must be removed from the mixture with 150 ml of the second alcohol solution to get a final mixture of 100 ml of 6% alcohol solution.

3 0
2 years ago
Can somebody help me asap?
Oduvanchick [21]

Answer:

44%

Step-by-step explanation:

First, take that pretty figure and align it into complete rows.

It will make 2 full rows plus one block.

1 row is 20% since 100 / 5 blocks is 20.

That's 11 blocks.

11 / 25 = .44 or 44%

8 0
2 years ago
An air traffic controller is tracking two planes.To start Plane A was at an altitude of 990 meters and plane B was at an altitud
soldi70 [24.7K]

The equation representing when the two planes would be at the same altitude is 9x=486

<h3>In terms of mathematics, what is an equation?</h3>

Equation: A declaration that two expressions with variables or integers are equal. In essence, equations are questions, and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics.

From (a) we get that: Altitude of Plane A = 990-18x

Altitude of Plane B = 1476-27x

make 890 - 18x = 1476-27x

-18x+27 x = 1476-890

9x=486

X= 54

so pass 54 seconds will the two plane at the same altitude.

To learn more about equations from given link

brainly.com/question/25678139

#SPJ9

8 0
1 year ago
Jun 07, 9:22:26 AM
german

Answer:

i dont know

Step-by-step explanation:

5 0
3 years ago
What does B.O.D.M.A.S. or B.E.D.M.A.S. mean?
kakasveta [241]
B E D M A S  MEANS BRACKETS EXPONENTS DIVISION MULTIPLICATION ADDITION AND SUBTRACTION
8 0
3 years ago
Read 2 more answers
Other questions:
  • Due to fire laws, no more than 720 people may attend a performance at metro auditorium. The balcony holds 120 people. There are
    7·1 answer
  • Explain how percents, fractions, and decimals are related.
    13·2 answers
  • An equation ___has one solution.<br> alwa<br> sometimes<br> never
    7·1 answer
  • What formula will I use to find the area?
    11·1 answer
  • What is the slope and vertical intercept of y = 6x-2?
    5·1 answer
  • Will mark brainliest for correct answer, due soon!
    5·1 answer
  • URGENT! Please help me find the total area of this house.
    10·1 answer
  • Help me please this is so hard
    11·1 answer
  • Geometry help if you can​
    15·2 answers
  • Please answer correctly.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!