A: Adults
C:children
P: people
A= 2/9 P
C= A+95
P= A+C
= 2/9P + 2/9P+95
= 4/9 P+95, add -4/9P for both sides (same terms, same sides:))
P- 4/9P= 95
5/9P= 95
P= 171 people in the restaurant
Adult= 2/9*171= 38 Adults
Children= 38+95= 133 children
b) The surface area is 564.5. Picture below.
4. Three possibilities.
Formula for volume of a cylinder: πr^2h
Formula for volume of sphere: 4/3πr^3
If the radius of the sphere is 1 inch than the volume is: 4.18879 or 4.19 rounded.
I used substitution on this website https://www.omnicalculator.com/math/volume
Just plug in the 4.18879 at the cylinder volume and put in a random number in the radius or height whichever you want then it'll give you the one you left blank. You'll find three possibilities for the radius and height of 4.18879 volume.
Answer:
4.5 units
Step-by-step explanation:
In this case, if we draw the point on the xy cartesian plane, we know that the value of "x" is 4.5 and the value of "y" is 0.
Which means that when I draw this in any way, the maximum value it will take is 4.5 units, therefore the radius should not exceed this value, nor should it be less than 4.5 units since the circle would be distorted.
Which means that the radius is 4.5 units
Answer:
y-int: (0, 13)
Equation: y = -2x + 13
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
<em>m</em> = slope
<em>b</em> = y-intercept
Step 1: Define variables
<em>m</em> = -2
Random point (5, 3)
Step 2: Plug in known variables
y = -2x + b
Step 3: Find y-intercept <em>b</em>
3 = -2(5) + b
3 = -10 + b
b = 13
Step 4: Rewrite equation
y = -2x + 13
