<u>First Train:</u>
Time taken = 9 hours (2pm to 11pm)
Let the speed be x
Distance = Time x Speed = 9x
<u>Second Train:</u>
Time taken = 5 hours (6pm to 11pm)
Speed = x + 48
Distance = Time x Speed = 5(x + 48)
Since both the distance they traveled are the same, we equate the distance to solve for x.
<u>Solve for x:</u>
9x = 5(x + 48)
9x = 5x + 240
4x = 240
x = 60
<u>Find the speed:</u>
x = 60 mph
x + 48= 108 mph
Answer: The spend of the two trains are 60 mph and 108 mph.
5.7 of anything minus 3.9 of the same thing leaves 1.8 of them.
Answer:
Mia's test score is 44 if she got 3 questions wrong.
Mia's test score is (50-2x) if she got x questions wrong.
Step-by-step explanation:
It is given that, Mia is taking a multiple choice test with a total of 50 points available. Each question is worth exactly 2 points.
If she got 3 questions wrong, then
Deducted marks 
Marks obtained by Mia = Total marks - Deducted marks
So, Mia's test score is 44 if she got 3 questions wrong.
If she got x questions wrong, then
Deducted marks 
Marks obtained by Mia = Total marks - Deducted marks
So, Mia's test score is (50-2x) if she got x questions wrong.
Answer:
0,36π inches³ or simply 1.13 inches³
Step-by-step explanation:
In this case, first, we need to calculate the volume of the sphere with the formula:
V = 4πr³/3
Replacing the data we have:
V = 4π(3)³/3
V = 36 in³
Now that we have the volume we need to calculate the resulting error. In this case, using linear approximation we have to use the derivates of V and r, so we have the following:
If V = 4πr³/3
Then the derivate of V (dV) would be:
dV = 4π*3*r²/3 dr
Where dr is the error of radius so:
dV = 4π*r² dr
Solving for dV:
dV = 4*3.14*(3)²*(0.01)
dV = 1.13 in³
So at the end, we just report the volume of the sphere as
V = 36 ± 1 in³
dV =
Answer:
k <40
Step-by-step explanation:
k-8<32
Add 8 to each side
k-8+8<32+8
k < 40
