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
Margarita [4]
3 years ago
7

Algebra 1 question : Solve for x : 3 - 5x + 6 = 14x - 32 + 10(2-x)

Mathematics
2 answers:
Zepler [3.9K]3 years ago
6 0
Hi there!

3 - 5x + 6 = 14x - 32 + 10(2 - x)
Work out the parenthesis.

3 - 5x + 6 = 14x - 32 + 20 - 10x
Combine like terms.

9 - 5x = 4x - 12
Subtract 9 from both sides.

- 5x = 4x - 21
Subtract 4x from both sides

- 9x =  - 21
Divide both sides by -9

x =  \frac{ - 21}{ - 9}  =  \frac{21}{9}  = 2 \frac{3}{9}  = 2 \frac{1}{3}



castortr0y [4]3 years ago
4 0

3 - 5x + 6 = 14x - 32 + 10(2 - x)

Distribute 10 inside the parentheses.

3 - 5x + 6 = 14x - 32 + 20 - 10x

Combine like terms.

9 - 5x = 4x - 12

Add 5x to both sides.

9 = 9x - 12

Add 12 to both sides.

21 = 9x

Divide both sides by 9.

x = 21/9

Simplify 21/9 by dividing both sides by 3: 7/3

Your answer is x = 7/3.

You might be interested in
A triangle is inscribed in a circle. The vertices of the triangle divide the circle into three arcs of lengths 3, 4, and 5. What
krok68 [10]

The area of the required triangle is <u>9/π²(3  + √3)</u> sq. units.

In the question, we are given that a triangle is inscribed in a circle. The vertices of the triangle divide the circle into three arcs of lengths 3, 4, and 5.

We are asked for the area of the triangle.

Now, the circumference of the circle = 3 + 4 + 5 = 12 units.

The formula for the circumference is 2πr, which gives is:

2πr = 12,

or, r = 6/π.

The length of the arcs are proportional to its central angle, making the angles: 3θ, 4θ, and 5θ, which needs to sum up to 360°, giving us θ = 360°/12 = 30°.

Thus, the three arcs subtends angles of θ₁ = 3θ = 90°,θ₂ = 4θ = 120°, and θ₃ = 5θ = 150°.

The area of the circle can be calculated as:

Area = (1/2)r² sin θ₁ + (1/2)r² sin θ₂ + (1/2)r² sin θ₃ = r²/2(sin θ₁ + sin θ₂ + sin θ₃).

Substituting the values, we get:

Area = 36/2π²(sin 90° + sin 120° + sin 150°),

or, Area = 36/2π²( 1 + √3/2 + 1/2),

or, Area = 9/π²(3  + √3).

Thus, the area of the required triangle is <u>9/π²(3  + √3)</u> sq. units.

Learn more about a triangle at

brainly.com/question/13734546

#SPJ4

5 0
1 year ago
HELPP PLEASEEEE ANYONE!!
Wewaii [24]

Answer:

kathryn= 6 years old

her mother= 38 years old

Step-by-step explanation:

kathryn=x

mother= x²+2

x²+2 +x=44

x=6

kathryn= 6 years old

her mother= 38 years old

4 0
2 years ago
Solve for x.<br> (1/3) over 3 =x over 8
Ugo [173]

8/3=3x (cross multiplied to get this)

X=8/9 (divided both sides by 3)

Hope this helps :)

8 0
3 years ago
Read 2 more answers
My son is having such a hard time with 6th grade math. and I'm no help at all. someone help please
lisabon 2012 [21]
I'd be more than happy to help. Im a sophmore and Love math
7 0
3 years ago
Read 2 more answers
PLEASE HELP with3,4,5,6 <br> DUE IN 20 min
Alika [10]

Answer:

3.

volume \ of \ cone = \frac{1}{3}\pi r^2h  = \frac{1}{3}*3.14*6*6*15 = 3.14*36*5 = 565.2cm^3

4.

volume \ of \ cone = \frac{1}{3}\pi r^2 h = \frac{1}{3} *3.14* 12*12*20 = 3.14*12*4*20 = 3014.4cm^3

5.

volume \ of \ sphere = \frac{4}{3} \pi r^3 = \frac{4}{3}*3.14 * 3*3*3* = 4*3.14*9 = 113.0cm^3

6.

diameter = 13cm\\\\radius = 6.5cm\\\\volume \ of \ sphere = \frac{4}{3} \pi r^3= \frac{4}{3} *3.14*6.5*6.5*6.5 = 1149.8cm^3

6 0
3 years ago
Other questions:
  • How can u tell <br> Whether 1080 is cube number
    12·2 answers
  • Mr. and Mrs. Carlo want to buy a new car, but they do not have enough money in their bank account to pay the entire cost after t
    15·1 answer
  • The shortest sides of two similar polygons have lengths in the ratio 2:5, the perimeter of the smaller polygon is 20, the perime
    5·1 answer
  • a baker made 5 pounds of icing. he used 4/9 of icing to decorate cakes. how much of the icing is left over?
    14·2 answers
  • If there are 12 eggs in a carton, how many are in 5 cartons?
    14·2 answers
  • Find the perimeter and area:<br> A pentagon has side lengths of 11cm.
    5·2 answers
  • Which sentence is true about an angle? A.an angle is formed by two lines that do not cross each other. B.An angle is formed at t
    15·1 answer
  • I am a boy looking for some type of hair product that keeps my hair in place. I don't want something that is like gel and that i
    7·1 answer
  • Please help. We have this for homework.
    8·1 answer
  • F(x)= -2x^2 - 5 and f(2)= -13<br><br> can someone solve this in steps please?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!