Answer:
Dorsey = 4.8 hours
Campbell = 24 hours
Step-by-step explanation:
It takes "x" hours for Dorsey
So, it will take 5 times more for Campbell, so
It takes "5x" hours for Campbell
Rate is inverse of time, so rates are:
Dorsey: 1/x
Campbell: 1/5x
We know Rate * Time = Work
When together, it takes 4 hours to finish a work, so we can write:
Solving for x, we get the time of Dorsey:
Dorsey takes 4.8 hours alone
Campbell takes 4.8 * 5 = 24 hours alone
Answer: the cost of admission for each child is $10
the cost of admission for each adult is $14
Step-by-step explanation:
Let x represent the cost of admission for each child.
Let y represent the cost of admission for each adult.
The cost of admission to a popular music concert was 162 dollars for 12 children and 3 adults. This is expressed as
12x + 3y = 162- - - - - - - - - - - - -1
The admission was 122 dollars for 8 children and 3 adults in another music concert. This is expressed as
8x + 3y = 122- - - - - - - - - - - - -2
Subtracting equation 2 from equation 1, it becomes
4x = 40
x = 40/4
x = 10
Substituting x = 10 into equation 1, it becomes
12 × 10 + 3y = 162
120 + 3y = 162
3y = 162 - 120
3y = 42
y = 42/3
y = 14
Answer:
52 in.
Step-by-step explanation:
Let the width = x.
The length is x + 18.
perimeter = 2(L + W)
244 = 2(x + x + 18)
122 = 2x + 18
2x = 104
x = 52
The width is 52 in.
Answer:
the 2nd option is the right one on edgenuiity
Step-by-step explanation:
Answer: Tan = 18/24
Explanation: Tan = Opposite/Adjacent
