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
bearhunter [10]
3 years ago
11

4/9x+1/5x=58 plzhelp

Mathematics
1 answer:
Olenka [21]3 years ago
6 0

Answer:

Solution

x = 90

Step-by-step explanation:

Combine multiplied terms into a single fraction

4

9

+

1

5

⋅

=

5

8

\frac{4}{9}x+\frac{1}{5} \cdot x=58

94​x+51​⋅x=58

4

9

+

1

5

⋅

=

5

8

\frac{4x}{9}+\frac{1}{5} \cdot x=58

94x​+51​⋅x=58

2

Combine multiplied terms into a single fraction

3

Multiply by 1

You might be interested in
Convert 3/11 to decimal equivalent using long division
sergey [27]
So simple... 3\ll=27\100 which equals 27.0 or 0.27
7 0
3 years ago
Find all the solutions for the equation:
Contact [7]

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

Divide both sides by x^2\,\mathrm dx to get

2\left(\dfrac yx\right)^2-\left(1+\dfrac yx\right)^2\dfrac{\mathrm dy}{\mathrm dx}=0

\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{2\left(\frac yx\right)^2}{\left(1+\frac yx\right)^2}

Substitute v(x)=\dfrac{y(x)}x, so that \dfrac{\mathrm dv(x)}{\mathrm dx}=\dfrac{x\frac{\mathrm dy(x)}{\mathrm dx}-y(x)}{x^2}. Then

x\dfrac{\mathrm dv}{\mathrm dx}+v=\dfrac{2v^2}{(1+v)^2}

x\dfrac{\mathrm dv}{\mathrm dx}=\dfrac{2v^2-v(1+v)^2}{(1+v)^2}

x\dfrac{\mathrm dv}{\mathrm dx}=-\dfrac{v(1+v^2)}{(1+v)^2}

The remaining ODE is separable. Separating the variables gives

\dfrac{(1+v)^2}{v(1+v^2)}\,\mathrm dv=-\dfrac{\mathrm dx}x

Integrate both sides. On the left, split up the integrand into partial fractions.

\dfrac{(1+v)^2}{v(1+v^2)}=\dfrac{v^2+2v+1}{v(v^2+1)}=\dfrac av+\dfrac{bv+c}{v^2+1}

\implies v^2+2v+1=a(v^2+1)+(bv+c)v

\implies v^2+2v+1=(a+b)v^2+cv+a

\implies a=1,b=0,c=2

Then

\displaystyle\int\frac{(1+v)^2}{v(1+v^2)}\,\mathrm dv=\int\left(\frac1v+\frac2{v^2+1}\right)\,\mathrm dv=\ln|v|+2\tan^{-1}v

On the right, we have

\displaystyle-\int\frac{\mathrm dx}x=-\ln|x|+C

Solving for v(x) explicitly is unlikely to succeed, so we leave the solution in implicit form,

\ln|v(x)|+2\tan^{-1}v(x)=-\ln|x|+C

and finally solve in terms of y(x) by replacing v(x)=\dfrac{y(x)}x:

\ln\left|\frac{y(x)}x\right|+2\tan^{-1}\dfrac{y(x)}x=-\ln|x|+C

\ln|y(x)|-\ln|x|+2\tan^{-1}\dfrac{y(x)}x=-\ln|x|+C

\boxed{\ln|y(x)|+2\tan^{-1}\dfrac{y(x)}x=C}

7 0
3 years ago
The cost of admission to the State Fair changed from $8.50 last year to $10.00 this year. Round to the nearest tenth. Show your
seropon [69]

Answer:

Percent increase is 17.6%

We still have to pay 7.50 with the coupon

Step-by-step explanation:

Percent increase = (new- original)/original *100%

                             = (10-8.5)/8.5 * 100%

                             = 1.5/8.5 * 100%

                             = 17.6470588%

Round to the nearest tenth

                                 17.6%

This is an increase since the cost went up.

If we have 25% off, we still have to pay (100%-25%) = 75%

10 *.75 = 7.50

We still have to pay 7.50 with the coupon

6 0
3 years ago
18°+2, what is the value of y?
Travka [436]

Answer:

Were is y located at?

Step-by-step explanation:

5 0
2 years ago
If there is one-third of a pizza left, and Becky only wants to eat one-half of it, how much of the pizza does she want?
natali 33 [55]
She wants to eat 1/6 of the pizza.
5 0
2 years ago
Read 2 more answers
Other questions:
  • Ursula Works At A Print Shop. She Uses A Printer That Can Print 12 Pages Per Minute. Yesterday She Started Printing Flyers For A
    12·1 answer
  • Correct answer gets brainliest and full ratings.
    10·1 answer
  • I’m completely lost can someone help me
    9·2 answers
  • Maths fractions help Question 1-4 thanks
    9·1 answer
  • Grandma​ Gertrude's Chocolates, a family owned​ business, has an opportunity to supply its product for distribution through a la
    10·1 answer
  • A triangle with one angle that measures 122 is considered blank
    13·1 answer
  • Find dy/dx implicitly and find the largest interval of the form −a < y < a or 0 < y < a such that y is a differentia
    12·1 answer
  • Convert 192 ounces to pounds. Round to the nearest hundredth if necessary.<br> QUICK PLEASE
    8·2 answers
  • PLEASE HELP!!!!!!!!!!!!!!!!!!!
    6·1 answer
  • Two friends share a protein bar which weighs 7 ounces. Each friend eats the same amount of the protein bar. Between which two
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!