Answer:
30 and 10
Step-by-step explanation:
Given ratio of age = 3 : 1 = 3x : x ( x is a multiplier )
Six years ago their age ratio was
3x - 6 : x - 6 = 6 : 1 ← express in fractional form
=
( cross- multiply )
6(x - 6) =3 x - 6
6x - 36 = 3x - 6 ( subtract 3x from both sides )
3x - 36 = - 6 ( add 36 to both sides )
3x = 30 ( divide both sides by 3 )
x = 10
Thus their present ages are
mother = 3x = 3 × 10 = 30
daughter = x = 10
Answer:
3 more students need to sign up
Step-by-step explanation:
Let the equal number of students in 9 teams be x.
Total number of signed up students = 690.
Let t be the required number of students to be signed.
Therefore, 9x = 690+t.
This means, 690+t is a multiple of 9.
The least value of t to make 690+t, a multiple of 9 is 3 and hence,
= 77
Hence, 3 more students need to sign up and each of the 9 teams consists of 77 students.
Answer:
The prediction for the number of transistor per IC in 1992 is of 4,194,304,000
Step-by-step explanation:
Moore's law:
Moore's law states that the number of transistors per IC doubles every year.
Format of the function:
Following Moore's law, t years after our initial estimative, the number of transistors per IC will be given by:
In which N(0) is the initial estimate.
The number of transistors per IC in 1972 seems to be about 4,000 (a rough estimate by eye).
This means that
So
What would you predict the number of transistors per IC to be 20 years later, in 1992?
This is N(20). So
The prediction for the number of transistor per IC in 1992 is of 4,194,304,000