The triangle pay $32 more for that day than it paid per day during the first period of time.
Step-by-step explanation:
The given is,
Triangle Construction pays Square Insurance $5,980
To insure a construction site for 92 days
To extend the insurance beyond the 92 days costs $97 per day
Triangle extends the insurance by 1 day
Step:1
Insurance per day from the 92 days period,
Where, Total insurance for 92 days = $ 5,980
Period = 92 days
From the values, equation becomes,
= $ 65 per day
Step:2
Insurance per day after the 92 days,
= $ 97
Amount Pay for that day than it paid per day during the first period of time,
= $32
Result:
The triangle pay $32 more for that day than it paid per day during the first period of time, if the Triangle Construction pays Square Insurance $5,980
to insure a construction site for 92 days and to extend the insurance beyond the 92 days costs $97 per day.
Answer:
7. x = 3
Step-by-step explanation:
To find the value of x, use the triangle sum property. Every triangle has interior angles which add to 180 degrees. To solve, add the expressions and numbers together then set equal to 180. Then use inverse operations to solve for x.
7. 20x - 9 + 10x + 9 + 90 = 180 Subtract 90 from both sides.
20x - 9 + 10x + 9 = 90 Add -9 + 9 = 0
20x + 10x = 90 Add like terms 20x + 10x = 30x
30x = 90 Divide both sides by 30.
x = 3
Repeat this process for each problem.
Answer:
17
Step-by-step explanation:
8.5 / 0.5
Answer:
a) 
is a solution of the linear equation.
b) The rate of change of the equation is 3.
c) The y-intercept of the equation is -2.
d) <em>Jayne is working in the grocery one day, according to her calculations, renting the lot costs 2 dollars per day and she could earn 3 dollars per hour by selling pastries. How much money does she earn after working 8 hours?</em>
Step-by-step explanation:
a) If is a solution of the linear equation, then 
. If 
, then the function evaluated at this value is:
Hence, is a solution of the linear equation.
b) The rate of change of the equation is represented by the slope of the function, which is the constant that multiplies the indepedent variable (
). Hence, the rate of change of the equation is 3.
c) The y-intercept of the equation is the only constant of the equation. Hence, the y-intercept of the equation is -2.
d) A real-world scenario would be the following: <em>Jayne is working in the grocery one day, according to her calculations, renting the lot costs 2 dollars per day and she could earn 3 dollars per hour by selling pastries. How much money does she earn after working 8 hours?</em>
Answer:
Solution is:
z (max) = 687.5
x₁ = 0
x₂ = 16
x₃ = 21
Step-by-step explanation:
From the problem statement we have:
Resources: machine time ( 183 h) labor (250 h) steel 185 (pounds)
Unit
Spoons 4 4 3
forks 4 9 2
knives5 5 5 4
Profit $ 9 20 17.5
Objective function z = 9*x₁ + 20*x₂ + 17.5 *x₃ to maximize
Subject to:
Availability of machine time : 183 h
4*x₁ + 4*x₂ + 5*x₃ ≤ 183
Availability of labor : 250 h
4*x₁ + 9*x₂ + 5*x₃ ≤ 250
Availability of steel : 185 pounds
3*x₁ + 2*x₂ + 4*x₃ ≤ 185
Requirement:
x₂ ≥ 16
General constraints:
x₁ ≥ 0 x₃ ≥ 0 all integers
After 6 iteration the solution using AtomZmath on-line solver
z (max) = 687.5
x₁ = 0
x₂ = 16
x₃ = 21
Resources used:
Machine time: 16* 4 + 21*5 = 64 + 105 = 169
remains 183 - 169 = 14 h
Labor: 16*9 + 21* 5 = 144 + 105 = 249
remains 250 - 249 = 1 h
Steel : 16*2 + 21*4 = 32 + 84 = 116
remains 185 - 116 = 69 pounds.
If it is decided that 20 units of forks are to be made then
we will need 4*4 = 16 h of machine time
9*4 = 36 h of labor
2*4 = 8 pounds of steel
We can get that from abandom to make one unit of x₃ ??
No because as we said we need 36 hours of labor ( we still have 1 we need 35 more hours ) if we make 20 x₃ insted of 21 we get only 5 hours.
z we got is maximum
