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!
We asked to solve the volume of the cone and we know that the formula for solving the volume is shown below:
V = 1/3*pi*r²*h where "r" for the radius and "h" for the height
We have the given values such as:
r= diameter/2 = 12/2
r= 6 inches
h=6 inches
Solving for the volume:
V= 1/3 *pi*6²*6
V=72pi in³
The answer is the letter "A" 72pi inches³.
1. Find the centre of the circle or the midpoint of the two numbers
(6-6/2}, (-2+6/2)
(0, 2)
2. Find radius using the distance formula
√<span>(6 - 2)² + (-6 - 0)²
</span>√4² + (-6)²
√16 + 36
√52
r = 7.21
3. Plug in
x² + (y - 2)² = 52
So it is option D 99% sure
Answer:
A : False
B : False
Step-by-step explanation:
<em>A : The mode of a data set is whichever number comes up the most.</em>
8 comes up the most times, so 8 is the mode.
<em>B : The median is a number which is in the middle of a data set</em>
This is the data set as a list of numbers :
2, 5, 5, 5, 6, 6, 8, 8, 8, 8
the two sixes are in the middle, if there are 2 numbers in the middle, add them together and divide by two,
6 + 6 = 12
12 / 2 = 6
6 is the median.
