Answer: We discover two outcomes:
1000 - 998 = 2
1001 - 999 = 2
Step-by-step explanation:
The problem can be stated as:
****-*** = 2
Where each asterisk symbolizes a distinct digit; here with a 4-digit number subtracting a 3-digit number to yield a difference of 2.
This can be represented as 99*, where we can increase any digit from 1 to 9 and we will achieve a 4-digit result:
So we rewrite it this way:
1000 - 998 = 2
When we add one to each side, the difference remains preserved, maintaining equal digit counts:[
1000 - 998 + 1 - 1 = 2
(1000 + 1) - (998 + 1) = 2
Thus, 1001 - 999 = 2
A simple case would also yield further solutions where digits can be zeros, for instance:
0004 - 0002 = 2
However, this trivial solution may be disregarded. This leads us to conclude that we have two unique solutions.
Answer:
Wyatt participated in 3 games and enjoyed 6 rides
Step-by-step explanation:
Let x represent the number of games
And let y represent the number of rides
Each game costs $1.25
Each ride costs $2.75
The total expenses incurred by Wyatt amounted to $20.25
Thus, the equation becomes: x1.25 + y2.75 = 20.25..... Equation 1
The number of rides he enjoyed is double the games he competed in
Y = 2x... Equation 2
By substituting the value of y into equation 1
x1.25 + y2.75 = 20.25
x1.25 + 2(x)2.75 = 20.25
x1.25 + x5.5 = 20.25
x6.75= 20.25
x= 20.25/6.75
X= 3
Y= 2x
Y= 2(3)
Y= 6
Thus, Wyatt participated in 3 games and enjoyed 6 rides
Response:
Total individuals Favorable = 5850
Detailed explanation:
Total Individuals = 8000
Company Anticipates those who will respond Favorably = 6000
Percentage Error = 
= 150
Total individuals Favorable = Company Anticipates those who will respond Favorably minus Percent Error
Total individuals Favorable = 6000-150
Total individuals Favorable = 5850.
The required work to pump water is 3,325,140 Joules. Step-by-step explanation: Work done by the pump is calculated by multiplying the force exerted on the pump by the distance the water is moved. Force equates to mass multiplied by gravitational acceleration. Consequently, Force = (water density × tank volume) × gravitational acceleration, leading to F = ρVg. Therefore, Work done = (ρVg) * d. Given the values of ρ = 1000 kg/m³, g = 9.8 m/s², d = 3 m, we compute the work done: Work = 1000 * 113.10 * 9.8 * 3 = 3,325,140 Joules.
