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
Vlad1618 [11]
3 years ago
11

"Find four numbers proportional to the numbers 2, 4, 5, and 6 if the difference between the sum of the two last numbers and the

sum of the first two numbers is equal to 4.8."
Mathematics
2 answers:
Liono4ka [1.6K]3 years ago
5 0

Answer:

  1.92, 3.84, 4.8, 5.76

Step-by-step explanation:

In the given set, the sum of the last two numbers is 5+6 = 11; the sum of the first two numbers is 2+4 = 6. The difference between these sums is 11-6 = 5.

You want to scale all the numbers by a factor of 4.8/5 = 0.96 so that the difference computed the same way is 4.8 instead of 5.

Then the numbers are ...

  0.96{2, 4, 5, 6} = {1.92, 3.84, 4.8, 5.76}

Lana71 [14]3 years ago
5 0

Answer:

\boxed{\text{1.92, 3.84, 4.80, and 5.76}}

Step-by-step explanation:

The numbers  must be in the ratio 2:4:5:6.

Let's call them 2x, 4x, 5x, and 6x. Then

5x + 6x =  11x = sum of last two numbers

2x + 4x =    6x = sum of first two numbers

According to the condition,

11x – 6x = 4.8

        5x = 4.8

          x = 0.96

2x = 1.92; 4x = 3.84; 5x = 4.80; 6x = 5.76

The numbers are \boxed{\textbf{1.92, 3.84, 4.80, and 5.76}}

Check:

(4.80 + 5.76) – (1.92 + 3.84) = 4.8

     10.56       –       5.76       = 4.8

                              4.8         = 4.8

OK.

You might be interested in
Write the product using exponents.<br> (-1/2)•(-1/2)•(-1/2)<br> Using exponents, the product is
nadya68 [22]

Answer: (-1/2)^3

-0.125

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
A typical cell phone plan has a fixed base fee that includes a certain amount of data and an overage charge for data use beyond
AnnyKZ [126]

Answer:

The equation will be:

C(g) = 15g + 62, if g > 2

8 0
2 years ago
Hiiiiiiiiiiiiiiiiii Need helpppppppppppp
kirill115 [55]

Answer:

Step-by-step explanation:

Angles around a point add up to 360

x + 53 + 37 + 139 = 360

               x + 229 = 360

                        x = 360 - 229

                        x = 131

7 0
3 years ago
If you drew a vertical line every time the SIN graph touched the x-axis, what function would that create an asymptote for?
Gnoma [55]

Answer:symptotes are invisible lines which are graphed function will approach very closely but not ever touch. This lesson covers vertical and horizontal

Step-by-step explanation: :)

8 0
2 years ago
2.the solution set of x +y =5 and x-y =3
Nataliya [291]

Answer:

Check the solution below

Step-by-step explanation:

2) Given the equation

x +y =5... 1 and

x-y =3 ... 2

Add both equations

x+x = 5+3

2x = 8

x = 8/2

x = 4

Substitute x = 4 into 1:

From 1: x+y = 5

4+y= 5

y = 5-4

y = 1

3) Given

x+3y =15 ... 1

2x+7y=19 .... 2

From 2: x = 15-3y

Substitute into 2

2(15-3y)+7y = 19

30-6y+7y = 19

30+y = 19

y = 19-30

y = -11

Substitute y=-11 into x = 15-3y

x =15-3(-11)

x = 15+33

x = 48

The solution set is (48, -11)

4) given

x/2 +y/3 =0 and x+2y=1

From 1

(3x+2y)/6 = 0

3x+2y = 0.. 3

x+2y= 1... 4

From 4: x = 1-2y

Substutute

3(1-2y) +2y = 0

3-6y+2y = 0

3 -4y = 0

4y = 3

y = 3/4

Since x = 1-2y

x = 1-2(3/4)

x = 1-3/2

x= -1/2

The solution set is (-1/2, 3/4)

5) Given

5.x=1/2 and y =x +1 then solution is

We already know the vkue of x

Get y

y= x+1

y = 1/2 + 1

y = 3/2

Hence the solution set is (1/2, 3/2)

6) Given

3x +y =5 and x -3y =5

From 3; x = 5+3y

Substitute into 1;

3(5+3y)+y = 5

15+9y+y = 5

10y = 5-15

10y =-10

y = -1

Get x;

x = 5+3y

x = 5+3(-1)

x = 5-3

x = 2

Hence two solution set is (2,-1)

6 0
3 years ago
Other questions:
  • How to find the 84% of 175
    12·2 answers
  • FUTA tax is paid A. only weekly. B. by an employee. C. by the employer. D. by both the employee and the employer.
    9·2 answers
  • Solve for F. Let m=5, a=3 F=ma
    7·1 answer
  • In △ABC, m∠A=72<br> °, c=61<br> , and m∠B=16<br> °. Find the perimeter of the triangle.
    9·1 answer
  • What is photosynthesis
    14·2 answers
  • Convert 54% into a decimal
    8·2 answers
  • 18. Noah paid off a loan with a simple interest rate of
    7·1 answer
  • I need help this is dude tomorrow
    11·2 answers
  • The cube of a whole number is 100 more
    10·1 answer
  • A procedure has an 81% success rate. The procedure is tried on 12 patients what is the probability that at least 8 patients show
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!