Answer:
the cyclists rode at 35 mph
Step-by-step explanation:
Assuming that the cyclists stopped, and accelerated instantaneously at the same speed than before but in opposite direction , then
distance= speed*time
since the cyclists and the train reaches the end of the tunnel at the same time and denoting L as the length of the tunnel :
time = distance covered by cyclists / speed of cyclists = distance covered by train / speed of the train
thus denoting v as the speed of the cyclists :
7/8*L / v = L / 40 mph
v = 7/8 * 40 mph = 35 mph
v= 35 mph
thus the cyclists rode at 35 mph
the penny travels at a faster rate by 56.4 kilometers
penny = 153 for 30 min
penny = 306 for 1 hour
rocket = 208 in 50 min
208/5 = 41.6 *6 = 249.6 in 1 hour
penny is faster by 56.4 kilometers
Let C be the amount of compost
T be the amount of topsoil
Each compost cost = $25
Cost of C compost = 25C
Each topsoil cost = $15
Cost of T topsoil = 15T
Amount of compost + amount of topsoil = 10
C + T = 10 -------> Equation 1
cost of C compost + cost of T topsoil = 180
25C + 15T = 180 --------> equation 2
Solve the first equation for C
C + T = 10
C = 10 - T
Now plug it in second equation
25C + 15T = 180
25 ( 10 - T) +15T = 180
250 - 25T + 15T = 180 (combine like terms)
250 - 10 T = 180 (Subtract 250 on both sides)
-10T = 180 - 250
-10T = -70 ( divide by -10 on both sides)
T = 7
She purchased 7 cubic yards of topsoil .
The Given Expression is : → x² + 13
= x² + (√13)²
= x² - ( i √13)² As , i²= -1 because , i = √-1
= (x - i√13)(x +√13) → Using the formula , A² - B² = (A-B)(A+B)
Out of the four options Given : Option C →(x - i√13)(x +√13) is true regarding the expansion of function x² + 13.
A) about 39.5%
b) +/ - 1.5%
c) I'd say no. It is very unlikely because less than the majority wanted it changed
