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
antiseptic1488 [7]
3 years ago
10

3(x + 5) − 3 = 52 − 2x

Mathematics
2 answers:
Greeley [361]3 years ago
7 0
3(x+5)-3=52-2x

1.multiply inside the parentheses by 3 >> {3x+15-3=52-2x}

2. subtract 15 and 2 >>>> {3x+12=52-2x}

3. 3x-2x= 1x >>>> {x+12=52}

4. 52-12= 40 >>> {x=40}

5. answer is 40
Anna11 [10]3 years ago
5 0

Answer: The value of x is 8

Step-by-step explanation:

3(x + 5) − 3 = 52 − 2x

First open the bracket, and do multiplication

3x + 15 - 3 = 52 - 2x

3x + 12 = 52 -2x

Collect like terms, and make the whole expression equal to zero

3x + 12 - (52 - 2x) = 0

3x + 12 - 52 + 2x = 0

3x + 2x + 12 - 52 = 0

5x - 40 = 0

5x = 40

Divide both sides by 5

5x/5 = 40/5

x = 40/5

x = 8

You might be interested in
The volume of the triangular prism is 12.5 m³. The length is 2.5 m and the base is 2 m. What is the width?
Fantom [35]

Answer:

  (4)  5 m

Step-by-step explanation:

You want the length of side x of a right triangular prism with base edge lengths of 2.5 m and 2 m, and a volume of 12.5 m³.

<h3>Volume</h3>

The volume of the prism is given by the formula ...

  V = Bh

where B is the area of the base:

  B = 1/2bh . . . . where b and h are the leg dimensions of the right triangle

Using these formulas together, we have ...

  V = 1/2(2.5 m)(2 m)x

  12.5 m³ = 2.5x m²

Dividing by 2.5 m², we find x to be ...

  (12.5 m³)/(2.5 m²) = x = 5 m

The dimension labeled x has length 5 meters.

6 0
1 year ago
Use the divergence theorem to calculate the surface integral s f · ds; that is, calculate the flux of f across s. f(x, y, z) = x
valkas [14]
\mathbf f(x,y,z)=x^4\,\mathbf i-x^3z^2\,\mathbf j+4xy^2z\,\mathbf k
\mathrm{div}(\mathbf f)=\dfrac{\partial(x^4)}{\partial x}+\dfrac{\partial(-x^3z^2)}{\partial y}+\dfrac{\partial(4xy^2z)}{\partial z}=4x^3+0+4xy^2=4x(x^2+y^2)


Let \mathcal D be the region whose boundary is \mathcal S. Then by the divergence theorem,

\displaystyle\iint_{\mathcal S}\mathbf f\cdot\mathrm d\mathbf S=\iiint_{\mathcal D}4x(x^2+y^2)\,\mathrm dV

Convert to cylindrical coordinates, setting

x=r\cos\theta
y=r\sin\theta

and keeping z as is. Then the volume element becomes


\mathrm dV=r\,\mathrm dr\,\mathrm d\theta\,\mathrm dz

and the integral is

\displaystyle\iiint_{\mathcal D}4x(x^2+y^2)\,\mathrm dV=\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=1}\int_{z=0}^{z=r\cos\theta+7}4r\cos\theta\cdot r^2\cdot r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta
=\displaystyle4\iiint_{\mathcal D}r^4\cos\theta\,\mathrm dz\,\mathrm dr\,\mathrm d\theta
=\dfrac{2\pi}3
4 0
4 years ago
write the equation of the line, in standard form, that is perpendicular to y=3x-2 and passes through (-7,2)
34kurt

Answer:

x+3y=-1

Step-by-step explanation:

y=3x-2 so m=3 old slope

the new slope must be -1/3 (opposite reciprocal of the old slope).

y-y0=m*(x-x0)

y-2=-1/3*(x-(-7))

y-2=-1/3x-1/3*7

y-2=-1/3x-7/3

3y-6=-x-7

The standard form for linear equations in two variables is Ax+By=C.

x+3y=6-7

x+3y=-1

8 0
2 years ago
(a) (x+3)(x+2) =<br><br><br> How do I solve this without the use of parentheses
Ierofanga [76]

Answer: x^2+5x+6

Step-by-step explanation:

5 0
3 years ago
Look across each row of the table. What pattern do you see?
hjlf
Using the same numbers u started out with
7 0
3 years ago
Read 2 more answers
Other questions:
  • The area of a square quilt and its side length, is the relationship linear?
    8·2 answers
  • Of the shirts in Bonnie's dresser, 3/10 are striped, while another 3/10 are plaid. What fraction of the shirts are either stripe
    5·1 answer
  • Please help I don't understand this very well<br>*picture*​
    7·2 answers
  • I need help do you guys know how to help me with this
    9·1 answer
  • What is 180 inches in feet
    8·2 answers
  • -4y + 3x - 2x - 5y - 4<br> Combining like terms
    14·1 answer
  • Solve -5w = -80 for w.<br><br> w =
    12·2 answers
  • Gabby mixes ½ tablespoon of paprika for every ¾ teaspoon of salt. Calculate a unit rate to represent the amount of paprika per 1
    12·1 answer
  • What is 2 13/18 - z = 1 19/36
    11·1 answer
  • How to simplify algebraic fractions
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!