The price of one bag of popcorn is $3.75
Step-by-step explanation:
Let,
x represent the cost of a bag of popcorn
y represent the cost of a drink.
According to given statement;
4x+12y=30 Eqn 1
x+6y=11.25 Eqn 2
Multplying Eqn 2 by 2

Subtracting Eqn 3 from Eqn 1

Dividing both sides by 2

4x+12y=30 and x+6y=11.25 can be used to find the price of one bag of popcorn and the price of one drink.
The price of one bag of popcorn is $3.75
Keywords: linear equation, elimination method
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It would split up in eighths. So it would be like 1/8, 2/8, 3/8 ....
It's not the volume of the ramp, it's the angle.
anyways here's how to use trig to find the answer:
Tan <A= opposite/ adjacent
Tan <A= 5.0/ 37.4
<A= tan-1 (5.0/ 37.4)
<A= 7.61 degrees.
First, you have to give each a variable. In this case, the smaller number will be x and the larger number will be y.
Next, you need to make the equations. Your equations are:
y+3x=14
x+2=y
What you're solving for is y because the questions asks what the larger number is.
Then, substitute. It will be this after substituted:
x+2+3x=14
Combine like terms.
4x+2=14
Subtract by 2 on both sides.
4x=12
Divide by 4 on both sides.
x=3
^This what your smaller number is but you can easily find what y (the larger number) is. Substitute x into the other equation, which is basically adding 2 to 3.
y=5
(D)