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2 years ago

An Apple Watch was marked down 1/9 of the original price. If the sales price was $224 what is the original price?

Mathematics

2 answers:

diamong [38]2 years ago

8 0

Answer:

ok so that means that the new price is 8/9th of the original one so we divide 224 by 8/9=252

Hope This Helps!!!

Ad libitum [116K]2 years ago

5 0

Marked down 1/9 means it sold for 8/9 of the original price.

Divide the sale price by 8/9:

224 / 8/9 = 224 x 9/8 = (224 x 9)/8 = 2016/8 = 252

The original price was $252

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The general solution of 2 y ln(x)y' = (y^2 + 4)/x is

Sav [38]

Replace $y'$ with $\dfrac{\mathrm dy}{\mathrm dx}$ to see that this ODE is separable:

$2y\ln x\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{y^2+4}x\implies\dfrac{2y}{y^2+4}\,\mathrm dy=\dfrac{\mathrm dx}{x\ln x}$

Integrate both sides; on the left, set $u=y^2+4$ so that $\mathrm du=2y\,\mathrm dy$ ; on the right, set $v=\ln x$ so that $\mathrm dv=\dfrac{\mathrm dx}x$ . Then

$\displaystyle\int\frac{2y}{y^2+4}\,\mathrm dy=\int\dfrac{\mathrm dx}{x\ln x}\iff\int\frac{\mathrm du}u=\int\dfrac{\mathrm dv}v$

$\implies\ln|u|=\ln|v|+C$

$\implies\ln(y^2+4)=\ln|\ln x|+C$

$\implies y^2+4=e^{\ln|\ln x|+C}$

$\implies y^2=C|\ln x|-4$

$\implies y=\pm\sqrt{C|\ln x|-4}$

4 0

2 years ago

The speed limit on a highway is 70 miles per hour. About how fast is this in miles per minute?

Lady bird [3.3K]

The speed of this:
70 miles per hour

1 hour = 60 minutes

70/60 = 7/6

around 1 1/6 mile per minute

hope this helps

7 0

3 years ago

What is the value of -2(x+5)?

bezimeni [28]

I thinks 5 because -2(x) = -2x and -2(5)=-10
So -2x=-10
-10/-2=5
X=5

7 0

3 years ago

Read 2 more answers

What is the solution for -10 < x - 9?

meriva

Answer:

x > -1

Step-by-step explanation:

Simplify both sides of the equation, then isolate the variable.

4 0

2 years ago

Read 2 more answers

A, B , and C are collinear points: B is between A and C. If AB = 36, BC = 5x - 9 , and AC = 54 , find x

balandron [24]

9514 1404 393

Answer:

x = 5.4

Step-by-step explanation:

The segment sum theorem tells you ...

AB +BC = AC

36 +(5x -9) = 54

5x = 27 . . . . . . . . . . . subtract 27 from both sides

x = 5.4 . . . . . . . . . . divide by 5

4 0

2 years ago