Answer:
Total money they had at first $252.
Step-by-step explanation:
Let,
x be the amount Silas had originally
y be the amount Raja had originally
According to given statement;
x = 3y Eqn 1
x - 84 = y + 42 Eqn 2
Putting x=3y in Eqn 2
3y - 84 = y + 42
3y - y = 42 + 84
2y = 126
Dividing both sides by 2
Putting y = 63 in Eqn 1
x = 3(63)
x = 189
Total money they originally had = 189 + 63 = $252
Hence,
Total money they had at first $252.
Answer:
(a + 2b)(a - b)
Step-by-step explanation:
Assuming you require the expression to be factored
Given
a² + ab - b² ← factor out from each term
= (a² + ab - 2b²) ← factor the quadratic
Consider the factors of the coefficient of the b² term(- 2) which sum to give the coefficient of the ab- term (+ 1)
The factors are + 2 and - 1, since
2 × - 1 = - 2 and 2 - 1 = + 1, thus
a² + ab - 2b² = (a + 2b)(a - b) and
a² + ab - b² = (a + 2b)(a - b)
Answer:
7 Hours 12 Minutes
Step-by-step explanation:
So they one of the printer increases at a rate of 1/12 and the other increases at a rate of 1/18. Since you don't know the time it actually takes, you will replace both numerators with and x. (x/12 and x/18). You want to set these up so that they are adding. (x/12 + x/18=1). Since you're adding, you want to change it to the same denominator. The lowest is 36 so you multiply x/12 by 3/3 (so you don't unbalance the equation) and x/18 by 2/2. You'll end up with 3x/36 + 2x/36= 1 which will simplify to 5x/36=1. Multiply each side by 36 to leave the variable by itself. It becomes 5x=36 and when you divide it by 5 you get 7.2. So it's seven and .2 hours, which is equivalent to7 and 1/5 of an hour or 7 hours and 12 minutes.
Answer:
the answer is that both x and y are acute
Answer:
-233/40
Step-by-step explanation:
5/8 + 1/4 - 2(3/4 + 13/5)
5/8 + 2/8 - 6/4 + 26/5
7/8 - 30/20 + 104/20
7/8 - 134/20
35/40 - 268/40
-233/40
