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irga5000 [103]
2 years ago
13

Kenji has $600 to spend on exercise classes. Each weight training class(x) costs $20 and each aerobic class(y) costs $15. Write

an inequality for this situation and determine which ordered pair is a solution to the inequality. a. 645-09-08-00-00_files/i0200000.jpg c. 645-09-08-00-00_files/i0200001.jpg b. 645-09-08-00-00_files/i0200002.jpg d. 645-09-08-00-00_files/i0200003.jpg
Mathematics
2 answers:
motikmotik2 years ago
8 0
Where's the file/picture/image ?
Tema [17]2 years ago
4 0
Not sure if any files have what my answer is but.
$600 ➗ ($20x + $15y) =
$120 ➗ ($4x+$3y)
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masha68 [24]
Angle 11 is 119
and select alternate interior angles theorem
5 0
3 years ago
A ball of radius 15 has a round hole of radius 5 drilled through its center. Find the volume of the resulting solid. Hint: The u
OverLord2011 [107]

Answer:

The volume of the ball with the drilled hole is:

\displaystyle\frac{8000\pi\sqrt{2}}{3}

Step-by-step explanation:

See attached a sketch of the region that is revolved about the y-axis to produce the upper half of the ball. Notice the function y is the equation of a circle centered at the origin with radius 15:

x^2+y^2=15^2\to y=\sqrt{225-x^2}

Then we set the integral for the volume by using shell method:

\displaystyle\int_5^{15}2\pi x\sqrt{225-x^2}dx

That can be solved by substitution:

u=225-x^2\to du=-2xdx

The limits of integration also change:

For x=5: u=225-5^2=200

For x=15: u=225-15^2=0

So the integral becomes:

\displaystyle -\int_{200}^{0}\pi \sqrt{u}du

If we flip the limits we also get rid of the minus in front, and writing the root as an exponent we get:

\displaystyle \int_{0}^{200}\pi u^{1/2}du

Then applying the basic rule we get:

\displaystyle\frac{2\pi}{3}u^{3/2}\Bigg|_0^{200}=\frac{2\pi(200\sqrt{200})}{3}=\frac{400\pi(10)\sqrt{2}}{3}=\frac{4000\pi\sqrt{2}}{3}

Since that is just half of the solid, we multiply by 2 to get the complete volume:

\displaystyle\frac{2\cdot4000\pi\sqrt{2}}{3}

=\displaystyle\frac{8000\pi\sqrt{2}}{3}

5 0
3 years ago
C an somebody please tell me what 9+10 is?
Mekhanik [1.2K]

' 9 + 10 ' is a simple exercise in addition.  Its solution is  19 .

There is junk floating around the internet saying that 9+10=21.
That statement is false, and the arithmetic is wrong.
The whole thing is a joke.  If you ask someone to prove it, they will
perform a demonstration with Roman numerals, but the way they handle
the Roman numerals is itself defective, and they're hoping you won't notice.


5 0
3 years ago
Help me please i need help
adell [148]

Answer:

I have NO IDEA

Step-by-step explanation:

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8 0
2 years ago
Based on the diagram, which reason justifies this statement?
Norma-Jean [14]

Answer:

Complements of the same angle are congruent.

Step-by-step explanation:

7 0
3 years ago
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