Answer:
2x + 4y = 110
Step-by-step explanation:
Let
The quantity of small tables = x
The quantity of large tables = y
The smaller tables can fit 2 people, the larger tables can seat 4 people.
Equation that describes the relationship between the quantity of small tables and the quantity of large tables, assuming exactly 110 people need seats.
Number of people×quantity (small table) + number of people×quantity (large table) = 110
2x + 4y = 110
1800000000000000000000000
Answer:
Step-by-step explanation:
In order to find the equation to this line, we need to note that we see two points on this graph. Using these two points, we can use them to find the slope of the graph and use one to find the y-intercept.
We know that the slope of a line is defined by 
(change in y / change in x). Therefore, we can use our two points that we know - (-5, 2) and (3, 4) to find the slope.
The change in y is 
, and the change in x is 
. Therefore, our slope is 
.
Now that we know our slope, our equation in slope-intercept form looks something like this.
However, we still have b to solve for. We can solve for this by substituting a point we already know into the equation. Let's substitute (3, 4) inside.
So now we know that the y-intercept is 
. Plugging that into our equation finishes it off, leaving our final equation to be 
.
Hope this helped!
Vsphere=(4/3)pir³
d/2=r
d=6.2
6.2/2=r=3.1
vsphere=(4/3)pi3.1³
vsphere=(4/3)pi29.791
Vsphere=124.72498666666666666666666666667
answer is 124.72498666666666666666666666667 cubic feet
or rounded to neares whole, 125 square feet
