First let’s express the total number of marbles as such:
y(yellow marbles) + r(red marbles)=23; y+r=23
now let’s express the relation of yellow marbles to red marbles:
y=2r(2 times red marbles) - 4(4 less marbles); y=2r-4
since we figured out what y equals, we can plug into the first equation we created:
(2r-4)+r=23
now solve for r:
2r-4+r=23
combine like terms
3r-4=23
add 4 to both sides
3r=27
divide both side by 3
r=9
plug r back into first equation and solve for y:
y+9=23
subtract 9
y=14
there are 9 red marbles and 14 yellow marbles!
Answer:

rounded to the nearest hundredth
Step-by-step explanation:
use the pythagorean theorem to find the height of the cone

you get a = 8
the formula for the volume of a cone is

plug in 6 for the radius and 8 for the height. then solve
Hello.
In your question, we can see that the points Q, P, and R can be assumed that they are in a straight line, meaning that the angle measures will add up to 180 (think of half a circle, which is 360 degrees).
This means that every angle added up will add up to 180 degrees.
Meaning we can set up the below equation:





After finding
, we can plug it back in to each expression for each angle measure.
∠QPS = 
∠SPT = 
∠TPR = 
Hope this helps!
Answer:
rrrrrrrrrrrrrrrrrrrrrrrrrrrrrr
Step-by-step explanation:
uhh
The formula for circumference is πd.
Diameter is 2r.
5 x 2 = 10
Use 3.14 for π.
10 x 3.14 = 31.4 yards
Hope this helps!