Answer:
Option D.
Step-by-step explanation:
We need to find the solution to the system graphed below.
If a system of equation have 2 linear equation then the intersection point of both lines lines is the solution of the system of equations.
In the given graph two straight lines intersect each other at (-1,-1).
Point of intersection = (-1,-1)
So, by using the given graph we can conclude that the solution of given system of equations is (-1,-1).
Therefore, the correct option is D.
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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Answer:
The new depth of the scuba diver is 330 feet below sea level.
Step-by-step explanation:
125 + 205 more below sea level = 330 below sea level
Answer:
k = 28
Step-by-step explanation:
12/k = 18/42
Cross multiply.
18k = 12 * 42
18k = 504
Divide both sides by 18.
k = 28
Answer:
x = 21
Step-by-step explanation:
<u>Step 1: Make an expression</u>
Since they are supplements, that means that they add up to 180 degrees.
3x + 6 + 5x + 6 = 180
<u>Step 2: Combine like terms</u>
3x + 6 + 5x + 6 = 180
(3x + 5x) + (6 + 6) = 180
8x + 12 = 180
<u>Step 3: Subtract 12 from both sides</u>
8x + 12 - 12 = 180 - 12
8x = 168
<u>Step 4: Divide both sides by 8</u>
8x / 8 = 168 / 8
x = 21
Answer: x = 21
