A group of 10 termites is capable of damaging 0.000084kg of wood in one week.
For clarity, converting milligrams to kilograms yields: 1.2mg = (1.2 / 1,000,000)kg equals 0.0000012kg. Consequently, a single termite will consume 0.0000012kg daily. Therefore, 10 termites will demolish a total of: (0.0000012 × 10) kg per day, resulting in 0.000012kg. As there are 7 days in a week, the total destruction across the week is calculated as 10 termites' daily destruction multiplied by 7, which translates to 0.000012 × 7 = 0.000084kg per week.
There exists an endless array of possibilities, one being 45/100 or 9/20
2.8y + 6 + 0.2y = 5y – 14
Start by simplifying the left side:
3y + 6 = 5y - 14
Next, deduct 3y from both sides:
6 = 2y - 14
Add 14 to both sides:
2y = 20
Now, divide by 2:
y = 20 / 2
y = 10
Response:
2/9 = 0.22
Clarification:
There are two ways to select the first number that is odd and less than 5: 1 and 3.
For each of these, the second number drawn can be any of the values from 1 to 9, giving us a total of 18 options.
Out of these, the only pairs that result in a sum less than 5 are (1,1), (1,2), (1,3), and (3,1). Thus we have 4 combinations from the total of 18:
4/18 = 2/9 = 0.22
Let’s define x as the amount invested by Sam in the first year.
Here are the corresponding expressions derived from the provided descriptions for Sam's investments.
For Sam:
2nd year: investment = 5x/2 - 2000
3rd year: investment = x/5 + 1000
The total Sam invested is:
x + (5x/2 - 2000) + (x/5 + 1000)
Next, we can form the expressions for Sally’s investments.
For Sally
1st year: investment = 3x/2 - 1000
2nd year: investment = 2x - 1500
3rd year: investment = x/4 + 1400
Thus, Sally's total investment is,
total = (3x/2 - 1000) + (2x - 1500) + (x/4 + 1400)
Setting both totals equal gives us:
(x) + (5x/2 - 2000) + (x/5 + 1000) = (3x/2 - 1000) + (2x - 1500) + (x/4 + 1400)
Solving for x,
x = 2000
For Sally's investment for the third year:
investment = x/4 + 1400 = (2000/4 + 1400) = 1900
RESULTS:
Sam's first year = $2000
Sally's third year = $1900
