Answer:
k = 3
Step-by-step explanation:
Expanding the first term, we find 1/x at 10(kx)²(1/x)³ = 10k²/x
Expanding the first term, we find 1/x at 8*1⁷(-2/x)¹ = -16/x
Then
10k² - 16 = 74
k = 3
Solution:
<u>Simplify the equation and solve for r.</u>
- r/16 + 6 = 7
- => r/16 = 7 - 6
- => r/16 = 1
- => r = 16
The value of r is 16.
<u>Check:</u>
- r/16 + 6 = 7
- => 16/16 + 6 = 7
- => 1 + 6 = 7
- => 7 = 7 (Proved correct)
Answer:
speed of boat is 12 miles per hour and the speed of current is 9 miles per hour
Step-by-step explanation:
Answer:
Step-by-step explanation:
Jill makes purses and backpacks.
Let x represent the number of foot of fabric required to make a purse.
Let y represent the number of foot of fabric required to make a backpack.
To make each purse,she uses 1 foot less than half the amount of fabric she uses to make a backpack. This means that
x = (y/2) - 1
Therefore, the amount of fabric that Jill needs to make backpack will be
y/2 = x-1
y = 2(x-1) = 2x - 2
The number of feet of fabric that she will use to make a purse is
x = (y/2) - 1
(4x2-2x3)
(8-6)
xz=2
Hope this helps!