Answer:
(- 5, 1 )
Step-by-step explanation:
- 6x - 14y = 16 → (1)
- 2x + 7y = 17 → (2)
Multiplying (2) by - 3 and adding to (1) will eliminate the x- term
6x - 21y = - 51 → (3)
Add (1) and (3) term by term to eliminate x
0 - 35y = - 35
- 35y = - 35 ( divide both sides by - 35 )
y = 1
Substitute y = 1 into either of the 2 equations and solve for x
Substituting into (1)
- 6x - 14(1) = 16
- 6x - 14 = 16 ( add 14 to both sides )
- 6x = 30 ( divide both sides by - 6 )
x = - 5
solution is (- 5, 1 )
=1001.5
Go .5 below and .5 above this answer to get your consecutive integers.
Therefore the answer is 1001 and 1002.
Answer:
5.5 minutes
Step-by-step explanation:
Fill in the given information and solve for t.
75 = -15cos(2πt/15) +65
-10/15 = cos(2πt/15)
t = 15/(2π)arccos(-2/3) ≈ 5.492
The volume reaches 75 dB about 5.5 minutes after the truck arrives.
1.) The error is that she attached the
variable with the flat fee (which is
constant) and put the daily rent as a
constant (which is variable).
The correct equation is:
365+125x=250+175x
2.) N=5
3.) k=-35.
Explanation: Solution:
17k-6=37k+4 . 17k-37k=4+6 .
-27k=10 . k=10\cdot(7-2) . k=-35 .
4.)
.
Step-by-step explanation:
let the first-day ride be x
Then the second-day ride will be
=1.5
x
The third-day ride will be=1.5(1.5x)
The Fourth-day ride will be=1.5*1.5(1.5x)
hence for the four days the distance covered is
65=x+1.5x+1.5*1.5x+1.5*1.5*1.5x
65=x+1.5x+2.25x+3.375x
65=8.125x
divide both sides by 8.125 we have
x=65/8.125
x=8mile
the first-day ride be x=8miles
the second-day ride will be
=1.5
x
=1.5*8= 12miles
The third-day ride will be=1.5(1.5x) = 18miles
The Fourth-day ride will be=1.5*1.5(1.5x) = 27miles
