via the angle sum identity for cosine.
the expression 30 tens - 3 tens 3 tenths. A number proceeded by "tens" means that the number is multiplied by 10 while "tenths" means that the number is divided by 10. 30*10 - 3*10*3/10 equal to 300 - 9 or 291.
Since the problem is requesting the answer in minutes, we are going to convert the speed of Mr. Peter to miles per minutes; to do that, we are going to multiply his speed by the multiplier
:
Now, to find the distance from Boston to Worcester, we are going to use the distance formula:
where
is the distance
is the speed
is the time
We know that the speed of Mr. Peter is
and his time is 30 minutes. Lets replace those values in our formula:
Now, lets concentrate on Mr. Peter clone, Mr. P:
Lets convert the speed of Mr. P to miles per minute:
We also know that they will cover the same distance, 30 miles. Lets replace the values in our formula one more time to find t:
But since Mr. P <span>leaves 5 minutes after Mr. Peters, we need to add those 5 minutes to M. P's time:
</span>
We can conclude that Mr. P will arrive first, 5 minutes before Mr. Peter.
Answer:
System of Linear Equations entered :
[1] 6x-2y=8
[2] 3x-4=y
Equations Simplified or Rearranged :
[1] 6x - 2y = 8
[2] 3x - y = 4
Solve by Substitution :
// Solve equation [2] for the variable y
[2] y = 3x - 4
// Plug this in for variable y in equation [1]
[1] 6x - 2•(3x-4) = 8
[1] 0 = 0 => Infinitely many solutions
Answer:
6 points
Step-by-step explanation:
- 1/10=x/20
- cross multiply the x with the 10 and the 20 with the 1 so that you are now left with the fraction 10x/20
- 10x divided by 20 will give you x=2
- to check and make sure this is still equivalent with the 10% of shots Madeline makes divide 2/20
- Since this is still 10 percent Madeline makes 2 out of every 20 shots
- Multiply those 2 shots by three points since it was from the three point line and we get 6 points
Hope that helps :)