First, simplify the parenthesis. You’ll get:
1/4(4z)+7=-z+1
Then multiply 1/4 by 4z. You’ll get:
z+7=-z+1
Love like terms to the same side. I wanted to have the variable positive on time, so I moved variables to the left and constants to the right. You’ll get:
2z=-6
Divide both sides by 2. You’ll get :
z=-3
Answer:
17.9 m/s
Step-by-step explanation:
Volume of the slick = 0.5 x π r² h--------------------------------- (1)
Where r = radius of slick
h = thickness of slick, 10⁻⁶m
If 0.5m³ of oil leaked, then the radius of the semicircular slick can be calculated from equation (1)
V = 0.5 x π r² h
0.5= 0.5 x π x r² x 10⁻⁶
r² = 10⁶/ π
r = 10³/√π
dV/dt = πrh dr/dt + 0.5π r² dh/dt----------------------------------- (2)
Asumming the film thickness is constant , equation (2) becomes
dV/dt = πrh dr/dt-------------------------------- (3)
dV/dt = 0.1m³/day
r= 10³/√π
dr/dt= rate of expansion of the slick
Substituting into (3);
0.1 = π x 10³/√π x 10⁻⁶ x dr/dt
dr/dt = 0.1 x 10⁶/ ( π x 10³/√π)
= 17.9479 m/s
≅ 17.9 m/s
Answer:
C
(8)(-5)
Just multiply, 8 x -5 = -40
Cost of paying someone to rake her yard for for years would be $80.
The leaf blower would cost $70.
So she would save $10 buy buying the leaf blower.
Answer:
After the discount, the customer will pay only 91.4% of the initial price.
Step-by-step explanation:
We have that the price of the current retailer, in dollars, is:
3.50
After the discount, the new price, in dollars, is:
3.20
We want to know what percentage of the original price is the final price.
To find out, we must divide the final price between the initial price and then multiply the result by 100%
So:
*100% = 0.914. * 100% = 91.4%
After the discount, the customer will pay only 91.4% of the initial price.
The discount percentage you are going to pay is 100% -91.4% = 8.6% of the initial price