Answer:
Time machine one = 3.56
Time machine two = 4.56
Step-by-step explanation:
Let machine 2 do the job in x hours
Let machine 1 do the job in x - 1 hours.
The general formula for this problem is
Time = A*B/(A + B)
Givens
Time = 2 hours
B = x hours alone
A = x - 1 hours alone.
#################
x *( x - 1)
======= = 2
(x + x - 1)
(x^2 - x)/(2x - 1) = 2
x^2 - x = 2(2x - 1)
x^2 - x = 4x - 2
x^2 - 5x + 2 = 0
a = 1
b = - 5
c = 2
This gives 2 roots
x = 4.56
x = 0.43
The second root will not work because when 1 is subtracted from 0.43 the time give will be minus, which won't work.
Time for machine 2 is 4.56
The time for machine 1 is 3.56
Check
(A * B)/(A + B) = 2
A = 4.56
B = 3.56
Time = 4.56*3.56/(4.56 + 3.56)
Time = 16.2336/(8.12)
Time = 1.9992
The rounding error in the check comes from the rounding error in the times.
Answer:
- <em><u>The slope is $ 10 per flower bundle.</u></em>
Explanation:
The <em>slope</em> of a linear function is the ratio of the change in the dependent variable over the change in the independent variable.
In the problem, the independent variable is the number of flower bundles and the dependent variable is the amount charged.
If you call n the number of flower bundles and c(n) the amount charged per order, the amount charged per order is modeled by linear function:
Where, 10 is the amount charged in dolars per flower bundle, and 15 is the delivery charge per order.
Then, for every increment in the number of flower bundles (n) the amount charged will increase in $ 10. That is the slope
- slope = $ 10 / flower bundle.
Solve for the area of the circular region first:
A = pi*r^2
A = pi*(30 mi)^2
A = 2827.43 mi^2
Density = 70000 people/2827.43 mi^2
Density = 24.76 = 25 people/mi^2 <--ANSWER Plz vote brainnliest
Answer:
I guess 400g good for your diet. and health
