Answer:
a=-30
Step-by-step explanation:
Noelle goes east at N mph.
Karina travels west at N + 9
then their velocity between them is (N + N + 9)
After 8 hours they travel 8(2N + 9) = 232
(2N + 9) = 29
2N = 20
N = 10 mph for Noelle
N+9=19 mph for Karina
<h3>
Answer: x-2y = -8</h3>
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Explanation:
Multiply both sides by 2 to clear out the fraction
y = (1/2)x+4
2y = 2[ (1/2)x + 4 ]
2y = 2*(1/2)x + 2*4
2y = x + 8
Then move the x term over to the left side
2y = x+8
2y-x = 8
-x+2y = 8
Optionally we can multiply both sides by -1
-x+2y = 8
-1*(-x+2y) = -1*8
x-2y = -8
This is in standard form Ax+By = C with A = 1, B = -2, C = -8
The reason why I multiplied both sides by -1 was to make A > 0 which is what some textbooks use as convention. Of course -x+2y = 8 is equally valid too.
Answer:
36 minutes
Step-by-step explanation:you look at it and solve it
Answer:
$90
Step-by-step explanation:
The shoes now cost 130% of the original cost
The original cost is 100%
Take the new amount and divide it by 130:
117/130 = .90
Then multiply that number by 100 to get the original percent
.90 x 100 = $90
To check, multiply $90 by 130% or 1.30 to make sure that a 30% increase makes the product $117
$90 x 1.30 = $117
