The formula for distance is equal to:
d = v * t
where d is distance, v is velocity or speed, and t is
time
Since the distance travelled by the two airplane is
similar, therefore we can create the initial equation:
v1 * t1 = v2 * t2
We know that v1 = 496, and v2 = 558 so:
496 t1 = 558 t2
or
x = 558 t2 / 496
We also know that airplane 1 travelled 30 minutes (0.5
hours) earlier than airplane 2, therefore:
x = t2 + 0.5
Hence,
496 (t2 + 0.5) = 558 t2
496 t2 + 248 = 558 t2
t2 = 4 hours
x = t2 + 0.5 = 4 + 0.5
x = 4.5 hours
So the equation is:
x = 558 t2 / 496
And the first plane travelled:
x = 4.5 hours
Answer:
Emiy would think that it is not the perfect tomato sauce because it has 12 cloves of garlic in every 900 mL of sauce and it should have 14.4 cloves of garlic in every 900 mL of sauce to be perfect.
Step-by-step explanation:
The statement indicates that for Emily the perfect tomato sauce have 8 cloves of garlic in every 500 mL. With that we can calculate the amount of cloves of garlic that a tomato sauce should have for Emily to consider it to be perfect using the rule of three:
8 cloves of garlic → 500 mL
x ← 900 mL
x= (8*500)/900= 14.4
According to this, the perfect tomato sauce would need to have 14.4 cloves of garlic in every 900 mL. As Raphael's tomato sauce only has 12, it means that Emily would think that it is not the perfect tomato sauce.
Answer:
Angle A is 168 degrees and angle B is 12 degrees.
Step-by step explanation:
x=14y
14y+y=180
15y=180
y=12
x=168
Answer: x^2+29x+39
You would first have to set up an equation, which would be ((2x+9)⋅(x+6))-((x-5)⋅(x-3)) to find the area of both rectangles.
Then you can simplify it, which gives us 2x^2+21x+54-(x^2-8x+15)
Then simplify it even more which gives us 2x^2+21x+54-x^2+8x-15
Then we can get our answer: x^2+29x+39
Hope that helps :)
Answer:
Expected value E = $0.45
Step-by-step explanation:
Expected value E = P×w - P'×l
Where;
P = probability of making the next 2 throw.
P = 223/406 × 223/406 = 0.3017
P' = probability of not making a throw.
P' = 1 - P = 1 - 0.3017
P' = 0.6983
w = expected win = $20
l = Expected loss = $8
Substituting the values;
E = 0.3017 × $20 - 0.6983 × $8
E = $0.4476
Expected value E = $0.45
