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3 years ago

When a number is decreased by 17%, the result is 15. What is the original number to the nearest tenth?

Mathematics

1 answer:

Vera_Pavlovna [14]3 years ago

5 0

Answer:

About 18.1

Step-by-step explanation:

You can solve this problem by setting up an equation. Assuming that the original number is x:

x*(1-0.17)=15

0.83x=15

x=15/0.83 which is about 18.1 Hope this helps!

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3 years ago

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3 years ago

Perimeter of a mirror is 260. The length is x cm. Find the height of the mirror in terms of x

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3 years ago

Find an equation of the sphere with center (2, −10, 3) and radius 5. $$25=(x−2)2+(y−(−10))2+(z−3)2 use an equation to describe i

lana66690 [7]

In the $x,y$ plane, we have $z=0$ everywhere. So in the equation of the sphere, we have

$25=(x-2)^2+(y+10)^2+(-3)^2\implies(x-2)^2+(y+10)^2=16=4^2$

which is a circle centered at (2, -10, 0) of radius 4.

In the $x,z$ plane, we have $y=0$ , which gives

$25=(x-2)^2+10^2+(z-3)^2\implies(x-2)^2+(z-3)^2=-75$

But any squared real quantity is positive, so there is no intersection between the sphere and this plane.

In the $y,z$ plane, $x=0$ , so

$25=(-2)^2+(y+10)^2+(z-3)^2\implies(y+10)^2+(z-3)^2=21=(\sqrt{21})^2$

which is a circle centered at (0, -10, 3) of radius $\sqrt{21}$ .

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3 years ago