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
lara [203]
3 years ago
10

This is a double question. Part 1: 5(2x - 4) = 30. Solve for x Part 2: 5x + 3 - x + 2 = 41. Solve for x. I will mark Brainliest

to whoever solves both parts as well as explains it.
Mathematics
2 answers:
SOVA2 [1]3 years ago
4 0
PART 1:
5(2x-4)=30
Multiply both 2x and -4 by 5

10x-20=30
Then add 20 to cancel it out, but once u do something to that side u must do it to the other side. So add 20 to 30 which is 50.

10x=50

10x/10= 50/10
Divide both side by 10

X=5



PART 2:
5x + 3 - x + 2 = 41

4x + 5 = 41
Combine the like terms

4x=36
Then subtract 5 from both sides to cancel to get 4x by itself

4x/4=36/4
Then divide both sides by 4

X=9
Ainat [17]3 years ago
3 0

Answer:

see below

Step-by-step explanation:

Part 1: 5(2x - 4) = 30.

Distribute

10x -20 = 30

Add 20 to each side

10x-20+20 =30+20

10x = 50

Divide by 10

10x/10 = 50/10

x =5

Part 2: 5x + 3 - x + 2 = 41

Combine like terms

4x +5 = 41

Subtract 5 from each side

4x+5-5 = 41-5

4x = 36

Divide by 4

4x/4 = 36/4

x = 9

You might be interested in
Read the passage from "Annabel Lee.”
Ivenika [448]
I would say loneliness, because she is taken by a kings men .. and it’s not him
6 0
2 years ago
(x^2y+e^x)dx-x^2dy=0
klio [65]

It looks like the differential equation is

\left(x^2y + e^x\right) \,\mathrm dx - x^2\,\mathrm dy = 0

Check for exactness:

\dfrac{\partial\left(x^2y+e^x\right)}{\partial y} = x^2 \\\\ \dfrac{\partial\left(-x^2\right)}{\partial x} = -2x

As is, the DE is not exact, so let's try to find an integrating factor <em>µ(x, y)</em> such that

\mu\left(x^2y + e^x\right) \,\mathrm dx - \mu x^2\,\mathrm dy = 0

*is* exact. If this modified DE is exact, then

\dfrac{\partial\left(\mu\left(x^2y+e^x\right)\right)}{\partial y} = \dfrac{\partial\left(-\mu x^2\right)}{\partial x}

We have

\dfrac{\partial\left(\mu\left(x^2y+e^x\right)\right)}{\partial y} = \left(x^2y+e^x\right)\dfrac{\partial\mu}{\partial y} + x^2\mu \\\\ \dfrac{\partial\left(-\mu x^2\right)}{\partial x} = -x^2\dfrac{\partial\mu}{\partial x} - 2x\mu \\\\ \implies \left(x^2y+e^x\right)\dfrac{\partial\mu}{\partial y} + x^2\mu = -x^2\dfrac{\partial\mu}{\partial x} - 2x\mu

Notice that if we let <em>µ(x, y)</em> = <em>µ(x)</em> be independent of <em>y</em>, then <em>∂µ/∂y</em> = 0 and we can solve for <em>µ</em> :

x^2\mu = -x^2\dfrac{\mathrm d\mu}{\mathrm dx} - 2x\mu \\\\ (x^2+2x)\mu = -x^2\dfrac{\mathrm d\mu}{\mathrm dx} \\\\ \dfrac{\mathrm d\mu}{\mu} = -\dfrac{x^2+2x}{x^2}\,\mathrm dx \\\\ \dfrac{\mathrm d\mu}{\mu} = \left(-1-\dfrac2x\right)\,\mathrm dx \\\\ \implies \ln|\mu| = -x - 2\ln|x| \\\\ \implies \mu = e^{-x-2\ln|x|} = \dfrac{e^{-x}}{x^2}

The modified DE,

\left(e^{-x}y + \dfrac1{x^2}\right) \,\mathrm dx - e^{-x}\,\mathrm dy = 0

is now exact:

\dfrac{\partial\left(e^{-x}y+\frac1{x^2}\right)}{\partial y} = e^{-x} \\\\ \dfrac{\partial\left(-e^{-x}\right)}{\partial x} = e^{-x}

So we look for a solution of the form <em>F(x, y)</em> = <em>C</em>. This solution is such that

\dfrac{\partial F}{\partial x} = e^{-x}y + \dfrac1{x^2} \\\\ \dfrac{\partial F}{\partial y} = e^{-x}

Integrate both sides of the first condition with respect to <em>x</em> :

F(x,y) = -e^{-x}y - \dfrac1x + g(y)

Differentiate both sides of this with respect to <em>y</em> :

\dfrac{\partial F}{\partial y} = -e^{-x}+\dfrac{\mathrm dg}{\mathrm dy} = e^{-x} \\\\ \implies \dfrac{\mathrm dg}{\mathrm dy} = 0 \implies g(y) = C

Then the general solution to the DE is

F(x,y) = \boxed{-e^{-x}y-\dfrac1x = C}

5 0
3 years ago
Pls I need help fast and quick it's urgent!
sammy [17]

Answer:

I might be wrong but I think its the last answer choice.

Step-by-step explanation:

I'm sorry if its wrong :(

6 0
3 years ago
Anyone know this? algebra 1 is so hard LOL
musickatia [10]

Answer:

Y= 2x+3

Step-by-step explanation:

The slope of two parallel lines are always the same.

8 0
2 years ago
a bookstore sold 1,250 books in a month. if 70% of the books the store sold were paperbacks, how many paperback books did the st
xeze [42]
If you would like to know how many paperback books did the store sell in a month, you can calculate this using the following steps:

paperback books: 70% of the sold books = 70% of 1,250 books = 70% * 1,250 = 70/100 * 1,250 = 875 books

The correct result would be 875 paperback books.
8 0
3 years ago
Read 2 more answers
Other questions:
  • 74% of 643 is what number
    9·2 answers
  • Graph the function y = 4 square root of x. Then use the graph to find the missing x- or y-coordinates for the function to the ne
    12·2 answers
  • Given that f(x) = 2x + 1 and g(x) = the quantity of 3x minus 1, divided by 2, solve for g(f(3)). 5 7 9 10
    15·1 answer
  • “Your salary is $25,000 and you will be receiving a 2.5% pay increase this year. What will your new salary be?”
    7·1 answer
  • The area of the ice surface of a skating rink is about 221 yd2. The rink is about the shape of a rectangle where the ice-surface
    5·1 answer
  • A cylinder-shaped candle has a diameter of 5 inches and a height of 8 inches.
    7·2 answers
  • I need help on this I forgot how to do the work, answer please?
    8·1 answer
  • If 7y + 42 &lt;14 then which among the following is true​
    11·1 answer
  • This dot plot is not symmetric, and the data set has two
    7·1 answer
  • 37&lt;7-10x solve the inequality
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!