Answer:
About 17 weeks
Step-by-step explanation:
Given
Ryan:
<em />
<em> (weekly)</em>
Sarah:
(weekly)
Required
Determine the number of weeks they have the same cards
Represent the number of weeks with w:
For Both individuals, number of card at any given week is:
So,
For Ryan, the expression is:
For Sarah, the expression is:
To determine the number of weeks, we have to equate both equations:
Collect Like Terms
Solve for w
16.6 implies about 17 weeks, because 16.6 approximates to 17
<em>Conclusively, Ryan and Sarah will have the same number of balls in about 17 weeks</em>
Answer:
95
Step-by-step explanation:
Use the mean formula: mean = sum of elements / number of elements
Plug in the mean and number of elements, then solve for the sum of the numbers:
mean = sum of elements / number of elements
19 = sum of elements / 5
95 = sum of elements
So, the sum of the numbers is 95.
Answer:
13 hours
Step-by-step explanation:
Average speed = Distance traveled / time taken
⇒ Distance = Average speed × Time
d = s × t
For the first trip;
Average speed = 280 mph
d₁ = 280t₁ ------(1)
where;
d₁ is the distance covered to get to the destination
t₁ is the time taken to get to the destination
For the second trip;
Average speed = 240 mph
d₂= 240t₂ ------(2)
where;
d₂ is the distance covered on the way back
t₂ is the time taken on the way back
The trip is the same distance to and fro. Therefore,
d₁ = d₂
Substituting the equation for d₁ and d₂
280t₁ = 240t₂ ------(3)
It took one hour less time to get there than it did to get back, then,
t₁ = t₂ - 1
t₂ = t₁ + 1 ------(4)
Substituting equation (4) into equation (3)
280t₁ = 240(t₁ + 1)
280t₁ = 240t₁ + 240
280t₁ - 240t₁ = 240
40t₁ = 240
t₁ = 240/40
t₁ = 6 hours
From equation (4)
t₂ = t₁ + 1
t₂ = 6 + 1
t₂ = 7 hours
The total time for the trip is t₁ + t₂ = 6 + 7
= 13 hours
Answer:
$1.99 per pound
Step-by-step explanation:
5.97 / 3 = 1.99
Answer:
The length of each side is 4 m
Step-by-step explanation:
The volume of a cube is given by
V = s^3 where s is the side length
64 = s^3
Take the cube root of each side
64 ^ (1/3) = s^3 ^ (1/3)
4 = s
The length of each side is 4 m
