Answer:
8
Step-by-step explanation:
Hello,
This is related to ratios and proportions. We have a 12 foot tree that casts a 6 foot shadow, so now we are trying to figure out how tall is a tree that casts a 4 foot shadow.
We can set an easier method to get this.
12 = 6 (this means the 12 foot tree casts a 6 foot shadow)
x = 4 (this means how tall is the tree to cast a 4 foot shadow, the unknown height of the tree is denoted as x)
Then, we can cross multiply.
48 = 6x
Solve for x, which is the unknown height we are trying to figure out.
x = 8
Answer: Slope is rise over run, or y over x. So for the first one the slope is 60/30 or 2. If you wanna find the slope between two points you would do y2-y1 over x2-x1. For example if we use the first two points which are 60/30 and 50/40, it would be 50-60 over 40-30, which gives you -10/10. That can be simplified down to -1/1. That means that you have went down one and right one on your graph. You can apply these rules to many basic slope problems. I hope this helps! :)
To solve this, we simply need to break down the words and turn each part into an equation.
"Three times"
This shows that we will be multiplying 3 and something.
3*
"a number"
This shows that the number we will be multiplying 3 by is "n," which represents a number.
3*n or 3n
"plus 16"
This shows we will be adding 16 to the rest of the equation.
3n+16
Using the logic above, we can see that the equation to represent this is 3n+16.
The average change in temperature is +5 degrees every 1 hour.
Solve for y in the first equation.