It opposite has to be a positive because the left of zero is negative so if K equals -50 the opposite has to be +50
Answer:
For this case we have the following expression:
(x ^ 6y ^ 8) ^ 3 / x ^ 2y ^ 2
Rewriting and for power properties we have:
(x ^ 18y ^ 24) / x ^ 2y ^ 2
(x ^ (18-2) y ^ (24-2))
(x ^ 16y ^ 22)
Answer:
The equivalent expression is given by:
(x ^ 16y ^ 22)
Answer: the total cost of the meal is
$17.7415
Step-by-step explanation:
The original cost of the breakfast $10.25 and the original cost of the coffee is $3.45. This means that the total cost of the breakfast and the coffee was
10.25 + 3.45 = $13.7
You leave a 20% tip. This means that the amount of tip that you left is
20/100 × 13.7 = 0.2 × 13.7 = $2.74
The sales tax is 9.5%. This means that the amount of sales tax that you paid is
9.5/100 × 13.7 = 0.095 × 13.7 = $1.3015
Therefore, the total cost of the meal would be
13.7 + 2.74 + 1.3015 = $17.7415
Answer:
x = -2
y = 5
Step-by-step explanation:
Given two equations
1. 7x + 10y = 36
2. y = 2x + 9
Substitute 2x + 9 for y in equation 1.
We have
7x + 10y = 36
7x + 10(2x + 9) = 36
Distribute 10 into (2x + 9)
We have
7x + 10 x 2x + 10 x 9 = 36
7x + 20x + 90 = 36
27x + 90 = 36
Subtract 90 from both sides to eliminate 90 on the left side
27x + 90 - 90 = 36 - 90
27x = -54
Divide both sides by 27 to isolate x
27x/27 = -54/27
x = -2
Now substitute -2 into either equation to get y
Using equation 2, we have
y = 2x + 9
= 2 x -2 + 9
= -4 + 9
= 5
x = -2
y = 5
Check
7(-2) + 10(5) = 36