pasagot lang po pls
bukas napo pasahan
Share
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Step-by-step explanation:
1. Let the number be x. We are given that (2/3)x - (1/6)x = 75. To solve for x, first simplify the equation:
(4/6)x - (1/6)x = 75
(3/6)x = 75
(1/2)x = 75
Now, multiply both sides by 2 to find x:
x = 150
So, the number is 150.
2. The sum of the first 6 numbers is 6 * 15 = 90, since their average is 15. When the 7th number is added, the average decreases by 1, so the new average is 14. The sum of all 7 numbers is 7 * 14 = 98. Therefore, the 7th number is 98 - 90 = 8.
3. Let Mary's sister's age be y. Since Mary is 5 years older than her sister, Mary's age is y + 5. After 7 years, Mary will be n years old. So, (y + 5) + 7 = n. Simplify the equation:
y + 12 = n
Now, Mary's age is y + 5, and her sister's age is y. Their total age in terms of n is:
(y + 5) + y = y + 5 + y = 2y + 5
Since y + 12 = n, we can solve for y:
y = n - 12
Substitute this into the equation for the total age:
2(n - 12) + 5 = 2n - 24 + 5 = 2n - 19
So, their total age in terms of n is 2n - 19.
ANSWER
1. Let's call the number we're trying to find "x".
Two-thirds of the number can be expressed as (2/3)x.
One-sixth of the number can be expressed as (1/6)x.
According to the problem, the difference between these two values is 75:
(2/3)x - (1/6)x = 75
To solve for x, we need to simplify and isolate the variable:
(2/3)x - (1/6)x = 75
(4/6)x - (1/6)x = 75 (we need a common denominator to subtract fractions)
(3/6)x = 75
(1/2)x = 75
Now we can solve for x by multiplying both sides by 2:
x = 150
Therefore, the number we're looking for is 150.
2. Let's call the value of the 7th number "x".
According to the problem:
- The average of 6 numbers is 15. This means that the sum of these 6 numbers is (6 x 15) = 90.
- When the 7th number is added, the average decreases by 1. This means that the sum of all 7 numbers is (7 x 14) = 98.
To solve for x, we need to subtract the sum of the first 6 numbers from the sum of all 7 numbers:
98 - 90 = 8
Therefore, the value of the 7th number is 8.
3. Let's call Mary's younger sister's age "x".
According to the problem:
- Mary is 5 years older than her younger sister, so Mary's age is x + 5.
- Mary will be n years after 7 years, so her age in 7 years will be x + 5 + n.
- Her younger sister's age in 7 years will be x + 7.
To find their total age in terms of n, we add their ages in 7 years:
(x + 5 + n) + (x + 7) = 2x + 12 + n
Therefore, their total age in terms of n is 2x + 12 + n.