Answer:
30 small pretzels were sold that night.
Step-by-step explanation:
x = small pretzels
y = large pretzels
x + y = 50
2x + 4.5y = 150
x + y - y = 50 - y
x = 50 - y
2(50 - y) + 4.5y = 150
100 - 2y + 4.5y = 150
2.5y = 50
------- -----
2.5 2.5
y = 20
x + 20 = 50
x + 20 - 20 = 50 - 20
x = 30
Answer:
x-intercept of the graph of the function 
is, 
Step-by-step explanation:
Given the function: ......[1]
x-intercept defined as the graph crosses the x-axis.
Substitute value of y = 0 in [1] and solve for x;
or
Take the inverse cotangent of both sides of the equation and solve for x;
3x = arccot (0)
We know the exact value of 
then;
Divide both sides by 3 we get;
Since, the cotangent function is positive in the first and third quadrants.
The period of the function 
is 
so values will repeat every radians in both directions.
we have;
Therefore, the x-intercept of the graph of the function is ;
for every integer n;
Answer: I would say 5 days.
Step-by-step explanation:
I added both days together and divided by 2 because there are two individuals working on 20 trees and divided equally it would be 10 and it would take 5 days because that’s half.
Answer:
Step-by-step explanation:
From the given information, it is clear that the shape of ant form is rectangular prism.
Let us write formula for volume of rectangular prism (ant form)
V = l x w x h
Use the formula to write an equation.
Plug V = 375, w = 2.5 and l = 15
375 = 15 x 2.5 x h
375 = 37.5 x h
Divide both sides of the equation by 37.5
375/37.5 = (37.5 x h)/37.5
10 = h
Hence, the height of the form is 10 inches.
You have to use the Pythagorean theorem because it is a right triangle. Consequently it is the square root of 12 squared plus 17 squared or approximately 20.81
