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
padilas [110]
3 years ago
7

How many Solutions does 6 + x/5 = x/5 - 5 - 3x/10 have?

Mathematics
1 answer:
klasskru [66]3 years ago
6 0

9514 1404 393

Answer:

  1 solution (x = -36 2/3)

Step-by-step explanation:

  6 + x/5 = x/5 - 5 - 3x/10 . . . . . . . given

  60 +2x = 2x -50 -3x . . . . . . . . . multiply by 10

  3x = -110 . . . . . . . . . . . . . . . .  add x-60 to both sides

  x = -110/3 = -36 2/3 . . . . . .divide by the coefficient of x

There is one solution to the equation.

_____

<em>Additional comment</em>

The coefficient of x on the left side of the equation is not equal to the coefficient of x on the right side. When that is the case, the equation will have one solution.

When the coefficients are equal, there will be no solutions if the constants are different, and there will be infinite solutions if the constants are the same.

You might be interested in
Is this a right triangle?
vesna_86 [32]

Answer:

yes!

Step-by-step explanation:

if it has a 90° angle it is a right triangle :)

8 0
2 years ago
Read 2 more answers
A wooden disk is shaped like a cylinder with a radius of 20.2 millimeters, and a height of 3.9 millimeters. What is the surface
asambeis [7]
The Area is = 3058.78 pir^2
5 0
3 years ago
22. Every hour, Jennifer can sew 24 dresses
JulsSmile [24]

Answer:

2.5 hours

Step-by-step explanation:

24 + 20 = 44

110 divided by 44 = 2.5

3 0
2 years ago
Someone help me please! :D
alexandr402 [8]
The angles of a quadrilateral add to 360, so we can solve for x by adding the 4 angle measures together and setting it equal to 360:

90 + 140 + (x - 10) + (x - 20) = 360

Combine like terms:

230 + 2x - 30 = 360

200 + 2x = 360

200 - (200) + 2x = 360 - (200)

2x = 160

Divide both sides by 2:

2x/(2) = 160/(2)

x = 80
3 0
3 years ago
Find the volume and surface area of the composite figure. Give your answer in terms of pi
ExtremeBDS [4]

Given:

A diagram of a composite figure.

Radius of cone and hemisphere is 8 cm.

Height of the cone is 15 cm.

To find:

The volume and the surface area of the composite figure.

Solution:

Volume of a cone is:

V_1=\dfrac{1}{3}\pi r^2h

Where, r is the radius and h is the height of the cone.

Putting r=8,h=15 in the above formula, we get

V_1=\dfrac{1}{3}\pi (8)^2(15)

V_1=\pi (64)(5)

V_1=320\pi

Volume of the hemisphere is:

V_2=\dfrac{2}{3}\pi r^3

Where, r is the radius.

Putting r=8, we get

V_2=\dfrac{2}{3}\pi (8)^3

V_2=\dfrac{1024}{3}\pi

V_2\approx 341.3\pi

Now, the volume of the composite figure is:

V=V_1+V_2

V=320\pi +341.3\pi

V=661.3\pi

The volume of the composite figure is 661.3π cm³.

The curved surface area of a cone is:

A_1=\pi r\sqrt{h^2+r^2}

Where, r is the radius and h is the height of the cone.

Putting r=8,h=15 in the above formula, we get

A_1=\pi (8)\sqrt{(15)^2+(8)^2}

A_1=\pi (8)\sqrt{289}

A_1=\pi (8)(17)

A_1=136 \pi

The curved surface area of the hemisphere is:

A_2=2\pi r^2

Where, r is the radius.

Putting r=8, we get

A_2=2\pi (8)^2

A_2=2\pi (64)

A_2=128\pi

Total surface area of the composite figure is:

A=A_1+A_2

A=136\pi +128\pi

A=264\pi

The total surface area of the composite figure is 264π cm².

Therefore, the correct option is A.

8 0
2 years ago
Other questions:
  • What is the y intercept of -16t&lt;2+150
    12·2 answers
  • A discounted amusement park ticket costs $12.95 less than the original price P write and solve an equation to find the original
    7·1 answer
  • What is the distance between the points (−6,8 ) and (3,−4)
    9·1 answer
  • Bob’s father has 4 children. Momo, Meme, and Mumu are three of them. Who’s the fourth?
    13·2 answers
  • I WILL GIVE BRAINLIEST<br> Evaluate 3 + (-h) + (-4) where h = -7
    6·1 answer
  • Marcus collected 5 fewer rocks then Esha.
    7·2 answers
  • HELP THIS IS MY LAST QUESTION. PLEASE
    13·1 answer
  • given f(x)=2x^2 and g(x)=4x-5, the composition f(g(x)) is equal to 32x^2-80 x+53 now find an expression for g(f(x))
    6·2 answers
  • What is the solution to this system of equations? Show your work. 46 points
    15·2 answers
  • Jerry bought 680 square feet of wood flooring to liven up his retail store. He has 1/4 of the flooring left over. How many squar
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!