Let x be the length of the train.
On the basis of the observer;
Speed of the train = x/6
On the basis of the bridge;
Total distance covered by any point of the train= 350+x
Speed = (350+x)/20
Equating the two expressions of speed;
x/6 = (350+x)/20
20(x) = 6(350+x)
20x = 2100+6x
(20-6)x = 2100
14x = 2100
x= 2100/14 = 150 m
Speed = x/6 = (350+x)/20 = 150/6 = 500/20 = 25 m/s.
Therefore,
Length of train = 150 m
Speed of train = 25 m/s
(2x) + 11 < 44
x is multiplied by two because we are looking for twice of x. 11 is added to the 2x because we are looking for eleven more than the sum of twice of x. Since 2x + 11 is less than 44, we use the lesser than ( < ) symbol.
Answer:
43
Step-by-step explanation:
Based on the pattern of the scatter plot, 43 seems to be the better option.
To complete the equation and tell which property you used.
(3×10)×8=___(10×8)
The property of basic operations that was used here is the:
1. Associative property of
multiplication where you can group or cluster certain values or numbers in an
equation and still yield the same product.
The missing value would be 3. Hence,
2. (3 × 10) × 8 = 3 (10 × 8)
Observe the parenthesis which has only moved from starting with three to
the value of ten.
Answer:
f(-4) = 6
f(0) = -6
f(1) = -4
On a coordinate plane, a parabola opens up. It goes through (negative 4.25, 10), has a vertex of (negative 0.5, negative 6.2), and goes through (3.25, 10). Solid circles appear on the parabola at (negative 4, 6), (negative 2, negative 4), (negative 1, negative 6), (0, negative 8), (1, negative 4), (2, 0), and (3, 6).
Step-by-step explanation:
hope it helps