Let
x-------> bags of <span>popcorn
</span>y-------> bags of hotdogs
we know that
2.50x+3y=200-------> equation 1
x=2y--------> equation 2
substitute 2 in 1
2.50*[2y]+3y=200--------> 5y+3y=200------> 8y=200-----> y=200/8
y=25
x=2y-----> x=2*25-----> x=50
the answer is
50 bags of popcorn
25 bags of hotdogs<span />
Answer:
Step-by-step explanation:

Answer:the length of segment MN is 12
Step-by-step explanation:
because the angles at the bottom of each segment are equal, the length of each segment is equal as well, so set you equation as 3x=x+8, subtract x from 3x then divide 8 by 2 which equals 4. (x=4) then plug in the value of x into x+8 and you have 12
Answer:
Height of the triangular face of the box is 12 cm.
Step-by-step explanation:
This question is not complete; please find the question as the attachment.
Volume of a triangular prism = Area of the triangular base × height
It's given in the question, Volume of the prism = 3240 cm³
Height of the prism = 30 cm
By substituting these values in the formula,
3240 = B × 30
B = 
B = 108 cm²
Area of the triangular face (B) = 
108 = 
108 = 9h
h = 12 cm
Therefore, height of the triangular face of the prism is 12 cm.