"Jeannie is 8 years older than her younger sister April"
this translates to
J = A + 8
"added together, their ages equal 198"
this translates to
A + J = 198
Plug the first equation into this one and we get
A + A + 8 = 198
add like terms
2A + 8 = 198
subtract 8 from both sides
2A = 190
divide both sides by 2
A = 190/2 = 95
Therefore April is 95 years old
Answer:
2017.
Step-by-step explanation:
The equation for the future sale of motorcycles
= 5.75(1.16)^t where t is in years
For cars it is
3.5(1.25)^t
3.5(1.25)^t > 5.75(1.16)^t
(1.25)^t > (5.75/3.5) 1.16^t
t ln 1.25 > ln 1.64286 + t ln 1.16
t ln 1.25 - t ln 1.16 > ln 1.64286
t (ln 1.25 - ln 1.16) > ln 1.64286
t > ln 1.64286 / (ln1.25 - ln 1.16)
t > 6.64 .
So the answer is in the year 2017.
Answer:
2016
Step-by-step explanation:
To solve this problem, let us find the prime factors of the given numbers:
96
8 x 12
2 x 2 x 2 2 x 2 x 3
2⁵ x 3
144
12 x 12
2 x 2 x 3 2 x 2 x 3
2⁴ x 3²
126
2 x 63
2 7 x 9
2 3 x 3 x 7
2 x 3² x 7
So, the lowest common multiple = 2⁵ x 3² x 7 = 2016
Answer:
Prime numbers are numbers that have only 2 factors: 1 and themselves. For example, the first 5 prime numbers are 2, 3, 5, 7, and 11.