Answer:
The father is 35years old and the son Tom is 15years old
Step-by-step explanation:
Let the father's be y
Let Tom's age be T
5 years ago:
The father's age is: y — 5
Tom's age:
T— 5.
But Tom's age was one third the father's age. This is written as:
T — 5 = 1/3(y — 5)
3(T — 5) = y — 5
3T — 15 = y — 5
3T — y = — 5 + 15
3T — y = 10 (1)
In 5years time:
The father's age is:
y + 5
Tom's age:
T + 5
But in 5years time, Tom will be half as old as his father. This is written as:
T + 5 = 1/2(y + 5)
2(T + 5) = y + 5
2T + 10 = y + 5
2T — y = 5 — 10
2T — y = — 5 (2)
Therefore, the equations are
3T — y = 10 (1)
2T — y = — 5. (2)
Solving by elimination method:
Subtract equation (2) from (1)
3T — y = 10
— (2T — y = — 5)
T = 15
Substituting the value of T into equation (1)
3T — y = 10
3(15) — y = 10
45 — y = 10
45 — 10 = y
y = 35
Therefore,
The father is 35years old and the son Tom is 15years old
There are 625 different 4-digit codes only made with odd numbers.
<h3>
</h3><h3>
How many different combinations can you make?</h3>
To find the total number of combinations, we need to find the number of options for each one of the digits.
There are 4 digits, such that each digit can only be an odd number.
- For the first digit, there are 5 options {1, 3, 5, 7, 9}
- For the second digit, there are 5 options {1, 3, 5, 7, 9}
- For the third digit, there are 5 options {1, 3, 5, 7, 9}
- For the fourth digit, there are 5 options {1, 3, 5, 7, 9}
The total number of different combinations is given by the product between the numbers of options, so we have:
C = 5*5*5*5 = 625.
There are 625 different 4-digit codes only made with odd numbers.
If you want to learn more about combinations:
brainly.com/question/11732255
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Answer:
B. The acidity can destroy essential nutrients in the soil, such as amino acids or nitrates.
All angles on a triangle add up to 180. If it's a right triangle it would be set up like this: 90+3x-4=6x-5=180. You would subtract 90 from 180 and get 90 left. 3x-4+6x-5=90. Then you would add 5 and 4 to 90.....3x+6x=99. Then you add 3x and 6x then you would be left with 9x=99. Divide 99 by 9 and you get x=11.
Answer:
All you need to do is subtract the coefficient.
Step-by-step explanation:
For example a minus b is c. So this is simply going to be c times d to the e you can do that if these two are the same.
