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
vodomira [7]
3 years ago
12

The second of the three numbers is 4 times the first the third is 2 more than the second. If the second number is decreased by t

wice the third the result is 28 what are the three numbers
Mathematics
1 answer:
Sergeu [11.5K]3 years ago
7 0

Answer:

the three numbers = -8, -32, -30

Step-by-step explanation:

let the first number = a

let the second number = b

let the third number = c

From the first statement:  b = 4a

From the second statement: c = b + 2

From the third statement: b - 2c = 28

From the above equations, we can solve (1) and (2) together.

c = b + 2

b = c - 2

Also, b - 2c = 28

(c - 2) - 2c = 28

c - 2 - 2c = 28

-c = 30

c = -30

b = -30 - 2

  = -32

b = 4a

a = b/4

a = -32/4

a = -8

Therefore, the three numbers = -8, -32, -30

You might be interested in
If BD = 8x - 27 and EC = 2x + 33, find BD.
KonstantinChe [14]
BD= 53 units
Good Luck! <3
4 0
3 years ago
Read 2 more answers
43. Can you place ten lumps of sugar in three empty cups so that
erma4kov [3.2K]

Answer: No.

Step-by-step explanation:

We have 10 lumps of sugar, and we want to divide them into 3 cups, in such a way that there is an odd number of lumps in each cup.

This only can happen if we have 3 odd numbers such that the addition is equal to 10.

Now 10 is an even number, remember that even numbers can be written as:

2*k

where k is an integer number.

And odd numbers can be written as:

2*n + 1

where n is an integer.

Then we have 3 odd numbers, let's call them:

(2*n + 1), (2*k + 1) and (2*p + 1).

Now let's add them:

(2*n + 1) + (2*k + 1) + (2*p + 1).

2*(n + k + p) + 1 + 1+ 1

2*(n + k + p) + 2 + 1 =

2*(n + k + p + 1) + 1.

Now, the number n + k + p + 1 is an integer number, let's call it X, then we have that the addition of the 3 odd numbers is:

2*X + 1

This is an odd number

So for any 3 odd numbers that we add together, the result will always be an odd number.

Then is impossible to add 3 odd numbers and get 10 as the result (Again, 10 is an even number).

Then is not possible to have an odd number of lumps in each cup.

5 0
2 years ago
Which points are on a graph where y varies directly with x and y = 3 when x = -3
kondor19780726 [428]

A coordinate system is a method of determining the position of points or other geometric components on a manifold. The points which vary are on a graph where y varies directly with x are (-1, 1), (0, 0), and (-5, 5).

<h3>What are coordinates?</h3>

A coordinate system is a method of determining the position of points or other geometric components on a manifold, such as Euclidean space, by using one or more integers, or coordinates.

Given that y varies directly with x, therefore, we can write,

y∝x

y = kx

Also, y=3 and x=-3, therefore, the value of k can be written as,

3=k(-3)

k=-1

Now, the points which vary are on a graph where y varies directly with x are (-1, 1), (0, 0), and (-5, 5).

Learn more about Coordinates:

brainly.com/question/23450276

#SPJ1

3 0
2 years ago
PLEASE HELP MEEEEEE....
garik1379 [7]

Answer:

you have to find the mean, median, and mode so the 1st is that you have to add numbers and then multiple it

Step-by-step explanation:

did this in 8th grade middle school

3 0
2 years ago
Location of bern as an ordered pair please help
navik [9.2K]

Answer:

Step-by-step explanation:

(3,-3)

4 0
3 years ago
Other questions:
  • Round 843 to the nearest ten.
    14·1 answer
  • Brownies are now on sale. Each brownie costs $0.20 less than the original price. Right now, if you buy 8 of them it will cost $1
    8·1 answer
  • Find the highest common factor and lowest common multiple of 60 and 150 using prime factors
    8·1 answer
  • What is f(5)?<br><br> –8<br> –1<br> 1<br> 8
    13·1 answer
  • Solve for x<br> 4(1 - x) + 2x = -3 (x + 1)
    12·1 answer
  • Based on data collected from its production processes, Crosstiles Inc. determines that the breaking strength of its most popular
    14·1 answer
  • 10. Which transformation will carry the rectangle shown
    13·1 answer
  • The vertex of this parabola is at (-2,-3). When the y-value is -2, the x-value is -5. What is the coefficient of the squared ter
    13·1 answer
  • PLEASE ANSWER THE QUESTION BELOW ASAP !!!!!
    12·2 answers
  • Mario has a rectangular prism completely filled with sand that has a base area of 85 cm² and a height of 15 cm. Mario pours all
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!