Answer:
Let Hassan score be X
Then Dionnie score will be X + 4
: the sum of Hassan and Dionnie is 180
X + ( X + 4 ) = 180
X + X + 4 = 180
COLLECTING LIKE TERMS
2X = 180 – 4
2X = 176
DIVIDING EACH TERM BY 2
2X/2 = 176/2
X = 88
: Hassan scored 88 and Dionnie score 92
Step-by-step explanation:
Answer:
300 seconds
Step-by-step explanation:
The first dog run at v₁ = 15 m/sec the second one run at v₂ = 12 m/sec
we know that d = v*t then t = d/v
Then the first dog will take 300/ 12 = 25 seconds to make a turn
The second will take 300 / 15 = 20 seconds to make a turn
Then the first dog in 12 turns 12*25 will be at the start point, and so will the second one at the turn 15.
To check first dog 12 * 25 = 300
And the second dog 15 * 20 = 300
That means that time required for the two dogs to be at the start point together is
300 seconds, in that time the first dog finished the 12 turns, and the second had ended the 15.
Another procedure to solve this problem is as follows:
between 12 m/sec and 15 m/sec the minimum common multiple is 300 ( 300 is the smaller number that accept 12 and 15 as factors 12*15 = 300) Then when time arrives at 300 seconds the two dogs will be again in the starting point
Answer:
Step-by-step explanation:
Since it is simple interest, you have to use the formula I = Prt.
(I is interest, P is principal (the starting amount), and r is the & rate as a decimal.
So, the interest would be
I = 543,300 (0.048) (2) = $52,156.80
The balance is the total amount. The balance would be the starting amount plus the interest.
Balance = 543,300 + 52,156.80 = $595,456.80
Set the equation to 0. new equation would be y^2/36 - x^2/121 = 0
factor the new equation: (y/6 + x/11)(y/6 - x/11) = 0
y/6 + x/11 = 0 —> y = -6x/11
y/6 - x/11 = 0 —> y = 6x/11
the asymptotes would be y = -6x/11, y = 6x/11
