Answer:
The correct option is c: the area of the 6-inch pizza is 1/4 the area of the 12-inch pizza.
Step-by-step explanation:
The area (A) of each pizza is given by:

Where:
r: is the radius
For the 12-inch pizza we have:

And for the 6-inch pizza we have:

The ratio between A₆ and A₁₂ is:

Hence:

Therefore, the correct option is c: the area of the 6-inch pizza is 1/4 the area of the 12-inch pizza.
I hope it helps you!
Answer:
<em><u>x=2, y=4</u></em> (as a point,) (2, 4) (last part is unnecessary unless you are graphing)
Step-by-step explanation:
Use substitution.
Substitute y for 2x.
Since y=2x, you can plug 2x into the place where y goes...
Instead of y=-1/2x+5
2x=-1/2x+5....Now solve
2.5x=5 (Sorry my computer cannot type fractions very clearly)
/2.5 /2.5 (dividing by 2.5 on both sides)
<u><em>x=2</em></u>
Now just plug x into any of the equations to find y (preferably the easier one).
y=2x becomes
y=2*(2)
=4
<em><u>y=4</u></em>
For problem one she starts off earning 10.24 dollars per hour. She receives a raise of 1.60 dollars. So first you have to add both 10.24 and 1.60 together to find out how much more she is payed. 10.24+1.60=12.04. She works 22.25 hours. It would take forever to add 12.04 22 and a quarter times so you multiply them. 12.04*22.25=267.89. So she would earn 267.89 dollars from working 22.25 hours.
For problem two you would start off by dividing 3/4 (the amount of pizza) by 5 (the five people) because when you do this it will give you the equal amount of pizza that each person can have. You get 0.15 which is equal to 3/20. So each person will get 3/20 of the 3/4 of the pizza that are left. (To simplify it the answer is 3/20) you can check your work by doing 3*5 which is 15. Make this the numerator and it’s 15/20. 15/20=3/4.
For the third problem you start off by putting aside the .25 of an ounce. Take the 3 ounces and multiply it by the cost per ounce 3.56. 3*3.56=10.68. Now that you have figured out how much 3 ounces cost out that aside. Now for the .25 of an ounce. Since .25 goes into one four times you do 3.56/4. It’s 0.89. This is how much it costs per .25 of an ounce. After that you add 10.68+0.89. It’s 11.57. To finish the problem you have to subtract 11.57 from 20 dollars. 20.00-11.57=8.43. The teacher receives $8.43 in change.
The diameter of the pool cover in one hundred feet
We are given
Clare is paid $90 for 5 hours of work
Total money paid =$90
total hours of work =5 hours
so, firstly we will find rate of work
rate of work = ( total money paid)/( total hours of work)
now, we can plug values
and we get
The rate of work is

$/ hour
now, we have to find time for amount paid is 25 cents
so, amount paid =25 cents
100 cents =1$
so, amount paid =$ 0.25
Since, the rate is constant
so, we can take same rate here
now, we can use formula
rate of work = ( total money paid)/( total hours of work)
now, we can plug values

now, we can solve for T
hour
since, T is in hours
so, we can change into seconds
1 hour =3600seconds
so, we can plug
seconds
seconds......................Answer