3 laps in 2.5 minutes
1 lap = 2.5/3 minute
20 laps = (2.5/3)*20 = 16.67
20 laps ≈ 16.67 minutes
Answer:
the domain of the function f(x) is 
the range of the function f(x) is 
Step-by-step explanation:
Consider the parent function 
The domain og this function is
the range of this function is 
The function
is translated function
7 units to the right and 9 units up, so
the domain of the function f(x) is 
the range of the function f(x) is 
Answer: In set theory, the union (denoted by ∪) of a collection of sets is the set of all elements in the collection. It is one of the fundamental operations through which sets can be combined and related to each other.
A U B U C = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9 }
Step-by-step explanation:
A = {1, 2, 5, 7}
B = {3, 4, 6, 7}
C = {0, 5, 8, 9}
A U B U C = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9 }
Answer:
x = 7
Step-by-step explanation:
123 = 17x + 4
123 - 4 = 17x
119 = 17x
119 / 17 = x
7 = x
Number of pounds of cashews is 36 pounds and number of pounds of walnuts is 4 pounds.
Step-by-step explanation:
- Step 1: Given details are cost of cashews = $1.58, cost of walnuts = 78 cents = $0.78, total weight of nuts = 40 pounds, cost of nuts per pound = $1.50
- Step 2: Let number of pounds of cashews to be mixed be C, then number of pounds of walnuts will 40 - C. Form equation with these variables.
⇒ 1.58 C + (40-C) 0.78 = 40 × 1.50
⇒ 1.58 C + 31.2 - 0.78 C = 60
⇒ 1.58 C - 0.78 C = 60 - 31.2
⇒ 0.8 C = 28.8
⇒ C = 36 pounds
- Step 3: Calculate number of pounds of walnuts
⇒ Number of pounds of walnuts = 40 - C = 4 pounds