Circles: Math Please Help: Circles

The ratio of the area of a circle, P , to the area of another circle, Q , is 16/81 .

stellarik [79]

Ratio of the radii = sqrt16 / sqrt81 = 4/9

so radius of circle Q is found by solving 4/9 = 8/x where x = radius of Q

x = 2*9 = 18

radius of circle Q = 18.

6 0

4 years ago

Gina takes classes at both Westside Community College and Pinewood Community College. At Westside, class fees are $98 per credit

Kipish [7]

Answer: second option.

Step-by-step explanation:

Let be "w" the credit hours at Westside Gina is taking.

You know that class fees are $98 per credit hour at Westside, then the expression for the dollar amount she paid for her class fees at Westside is:

$98w$

Since she is taking a combined total of 13 credit hours at the two schools, the credit hours at Pinewood Gina is taking can be represented by this expression:

$13-w$

You know that class fees are $115 per credit hour at Pinewood, then the dollar amount she paid for her class fees at Pinewood can be expressed as:

$115(13-w)$

Therefore, the expression for the combined total dollar amount she paid for her class fees is:

$total\ paid=98w+115(13-w)\\\\total\ paid= -17w + 1495$

6 0

3 years ago

Read 2 more answers

Jace purchases a new motorcycle for $8000. The bike depreciates 12% every year.

Alex777 [14]

Answer:

We know that the original price of the bike was $8,000.

After one year, the price of the bike decays a 12%, then the new price of the bike is:

P(1) = $8,000*( 1 - 12%/100%) = $8,000*(1 - 0.12)

After another year, the price again decays a 12%, the new price will be:

P(2) = $8,000*(1 - 0.12)*(1 - 12%/100%) = $8,000*(1 - 0.12)*(1 - 0.12) = $8,000*(1 - 0.12)^2

We already can see the pattern here, after t years, the price of the bike will be:

P(t) = $8,000*(1 - 0.12)^t

With this equation, we can find the price of the bike after 5 years, where we only need to replace t by 5

We will get:

P(5) = $8,000*(1 - 0.12)^5 = $4,221.9

The price of the bike after 5 years is $4,221.9.

Now we want two equations to represent this, so we need another.

This is kinda trivial, because there is only one equation that represents this, so we only can rewrite our equation in another form.

We could say that the price of the bike after t years is:

P(t) = $8,000*(0.88)^t

or something like:

P(t) = $7040*(0.88)^(t - 1)

Where i multiplied the initial value by 0.88, and then reduced the exponent by one.

3 0

3 years ago

The graph of y = 1 x is vertically stretched by a factor of 3, reﬂected across the y-axis and shifted to the left by 2 units. Wh

galben [10]

y = 3(-x - 2)

Any horizontal transformations or reflections you make to y = x must be within the parentheses.

8 0

3 years ago

Two whole numbers A and B satisfy the following conditions. Find A and B.

Alexus [3.1K]

Answer:

A=22 or 23

B=5

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers