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3 years ago

11

Maya express charges 15 dollar for each person and great holiday charges fixed 84dollar and extra 12 dollar for a person. If the

total amount charged by each company is same find the number of people going on holiday

1 answer:

goblinko [34]3 years ago

6 0

Step-by-step explanation:

15 dollar for each

15*70*12

then 84*70

total amount. the above

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Step-by-step explanation:

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3 years ago

Read 2 more answers

7.45+(-24.45)+74.17+(-76.52)

Blizzard [7]

Answer:

-19.35

Step-by-step explanation:

Steps

7.45−24.45+74.17−76.52

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3 years ago

Whats the length of the short side?

anzhelika [568]

Call the short side x. We have

tan 72° = opposite/adjacent = (12.8 cm) / x

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3 years ago

Need to know the area of the composite figure.

MariettaO [177]

Answer:

Step-by-step explanation:

you can figure out the area by using two formulas: area of a circle (on each end are two semi circles which when combined, make a circle) and area of a rectangle

Acircle: pi(r^2) = pi(5^2) = 25pi

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area of composite figure: (25pi ft^2) + 200ft^2

4 0

3 years ago

Consider the implicit differential equation <img src="https://tex.z-dn.net/?f=%2849%20y%5E%7B3%7D%20%2B%2045%20xy%29%20dx%20%2B%

BaLLatris [955]

We're looking for an integrating factor $\mu(x,y)=x^py^q$ such that

$\mu\underbrace{(49y^3+45xy)}_M\,\mathrm dx+\mu\underbrace{(98xy^2+50x^2)}_N\,\mathrm dy=0$

is exact, which would require that

$(\mu M)_y=(\mu N)_x$
$(49x^py^{q+3}+45x^{p+1}y^{q+1})_y=(98x^{p+1}y^{q+2}+50x^{p+2}y^q)_x$
$49(q+3)x^py^{q+2}+45(q+1)x^{p+1}y^q=98(p+1)x^py^{q+2}+50(p+2)x^{p+1}y^q$
$\implies\begin{cases}49(q+3)=98(p+1)\\45(q+1)=50(p+2)\end{cases}\implies p=\dfrac52,q=4$

You can verify that $(\mu M)_y=(\mu N)_x$ if you'd like. With the ODE now exact, we have a solution $F(x,y)=C$ such that

$F_x=\mu M$
$F=\displaystyle\int(49y^3+45xy)x^{5/2}y^4\,\mathrm dx$
$F=10x^{9/2}y^5+14x^{7/2}y^7+f(y)$

$F_y=\mu N$
$50x^{9/2}y^4+98x^{7/2}y^6+f'(y)=98x^{7/2}y^2+50x^{9/2}y^4$
$f'(y)=0$
$\implies f(y)=C$

and so the general solution is

$F(x,y)=10x^{9/2}y^5+14x^{7/2}y^7=C$

8 0

3 years ago