<h3>
Answer:</h3>
5 Adults; 6 Children
<h3>
Step-by-step explanation:</h3>
If all the tickets purchased were child tickets, the cost would be 11×$35.95 = $384.45. The actual cost is $434.45 -384.45 = $50 more than that.
Changing a child's admission to an adult's admission adds $10 to the cost, so there must have been $50/$10 = 5 adult admissions in the mix. Of course, 11 - 5 = 6, the number of child admissions.
The families bought 5 adult tickets and 6 child tickets.
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<em>Using an equation</em>
Let x represent the number of adult admissions. Then 11-x is the number of child admissions, and the total cost is ...
... 44.95x + 34.95(11 -x) = 434.45
... 10x = 50 . . . . . . . . subtract 384.45 and simplify (compare to the above)
... 50/10 = x = 5 . . . . the number of adult admissions
Slope-intercept form of a line is y=mx+b.
Where m= slope and b= y-intercept.
First step is to compare the given equation y=35x+8 with the above equation to get the value of m.
After comparing the two equations we will get m=35.
Slope of paralle lines always equal which means slope of a line which is parallel to the above line will also be 35.
Now the line is passing through (-10,4).
Point slope form of a line is :
Next step is to plug in m=35, x1=-10 and y1=4 in the above equation. So,
y-4=35(x-(-10)
y-4=35(x+10)
y-4=35x+350
y=35x+350+4
y=35x+354.
So, the equation of the line is y=35x+354.
Answer:
Option A
. 1708 bags
Step-by-step explanation:
The picture of the question in the attached figure
step 1
Find the volume of the silo
The volume of the silo is equal to the volume of a cylinder plus the volume of a cone
so
we have
---> the radius is half the diameter
substitute
Remember that
The silo is approximately 85% full
so
The volume of grain in the silo is
step 2
Find the number of bags of grain
Divide the volume of grain in the silo by the volume of one sack