Step-by-step explanation:
This is a linear equation in slope intercept form which is
where m is the slope and b is the y intercept.
The equation
Has a slope of -1/3 so this means that the slope will be decreasing. A negative linear equation increases as we go left. and decreases as we go right. The y intercept is 2. So this means the graph must pass through (0,2) and when x=0, y must be 2.
In other words, look for a line that the y values increase as we go left and decrease we go right. Also look for a point (0,2) and make sure the graph pass through it.
Answer:
<em>Riley has 72 tokens</em>
Step-by-step explanation:
<u>System of Equations
</u>
We have two conditions for the tokens Riley and Erik have earned. Let's call x and y to the number of tokens of Riley and Erik respectively. The first condition states that
Solving for y
The second condition is that the ratio of the number of tokens that Riley had to the number of tokens that Erik has is 8 to 7. It's written as
Or equivalently
Replacing y from the first equation
Operating
Simplifying
Riley has 72 tokens
Answer:
20 gallons
Step-by-step explanation:
The living room is made up of white trim and blue surface area between the walls. Since the ratio of the blue surface area between the walls to the white trim is given by 1 : 10.
Also 2 gallons of blue paints are used for the walls, let x represent the number of white paint used in gallons. Hence:
number of white paint in gallons = [1 / (1 + 10)] * total number of paints = 1 / 11 * total number of paints
2 = 1/11 * total number of paints used
total number of paints = 22 gallons
number of white paint (x) = [10 / (1 + 10)] * total number of paints = 1 / 11 * total number of paints
x = 10/11 * 22
x = 20 gallons
Therefore 20 gallons of white paint was used
The tax is 3.60, the total is 51.60
