A circle with a radius of 5 units has a circumference of 31.416 units. Hope that helps!
Answer:
y = 2x - 6
Step-by-step explanation:
The slope-intercept equation is y = mx + b
where m is the slope and b is the point on the y axis when x=0 which is called the y intercept.
The slope is the rise over run.
Rise is the difference in the y values.
Run is the difference in the x values.
Rise = difference between -6 and -10 which is 4 units
Run = difference between 0 and -2 which is 2 units.
The slope would then be 4 over 2 or 4/2 which can be reduced down to 2.
If you visualize the line on the graph, the line slopes upward from left to right. So the slope must be a positive number.
Slope = 2
The y intercept is when x=0. One of the coordinates (0, -6) gives you that answer. When x=0, y = - 6. This is b.
Your equation would be y = 2x - 6
Answer:
Kevin must add 1.2 gallons of 100% lemon juice to make a mixture of 50% lemon and 50% lime.
Step-by-step explanation:
Given : Kevin wants to make a mixture that is 50% lemon juice and 50% lime juice. 100% lesson juice should he add to a juice mixture that is 40% lemon juice and 60% lime juice to make 6 gallons of the 50% lemon 50% lime juice mixture.
To find : How much 100% lesson juice should he add to a juice mixture.
Solution :
According to question, we wants to make mixture where lemon = lime
We have to make 6 gallons, where
40% lemon juice require to make 6 gallon
i.e, 
and 60% lime juice require to make 6 gallon
i.e, 
Now, to make them equal subtract both of them
Therefore, he must add 1.2 gallons of 100% lemon juice to make a mixture of 50% lemon and 50% lime.
Answer:
The solution to this system is (4, 1/6).
Step-by-step explanation:
Please separate these two equations for clarity. I like to write them in column format:
2.5y + 3x = 27
5x – 2.5y = 5
---------------------
8x = 32, and x = 4.
Subbing 4 for x in the second equation yields 5(4) - 2.5y = 5.
Then 20 - 2.5y = 5, or 15 = 2.5y. Solving for y, we get y = 1/6.
The solution to this system is thus (4, 1/6).
