Answer:
x=7
Step-by-step explanation:
m1= 84
m2= 96
m3= 84
m4= 96
m5= 96
m6= 84
m7= 96
m8= 84
we know that
A mixed number is a number consisting of a whole number and a proper fraction
so
we have
therefore
the answer is
The value of mixed number of number 8.21 is,
⇒ 8 (21 / 100)
We have to given that;
A number is,
⇒ 8.21
Now, We can simplify as;
⇒ 8.21
⇒ 8.21 × 100 / 100
⇒ 821 / 100
⇒ 8 21/100
Therefore, The value of mixed number of number 8.21 is,
⇒ 8 (21 / 100)
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A.
11
B.
17
C.
24
D.
44
Answer:
The least possible number is 13
Step-by-step explanation:
Since there are 6 types of cars, 2 kinds of radios and 5 types of Tv, then, there are a total of 6*2*5 = 60 combinations.
Each family should have a Tv, can and radio matching one of this 60 combinations, and the best way to ensure that the number of families that have the same kind of car, radio and tv is the least as possible, we are better sharing each combination in equal parts, or at least almost equal.
Since there are 780 families and a total of 780 combinations, then, each combination should be used by a total of 780/60 0 13 families.
x = −10
x = −7
x = −4
x = −2
The solutions to the equation are x = - 7 and x = 4
Equation solutions are the true values of x in the equation
The equation is given as:
(x - 2)(x + 5) = 18
Expand the equation
x^2 + 5x - 2x - 10 = 18
Subtract 18 from both sides
x^2 + 3x - 28 = 0
Factorize the expression
(x + 7) * (x - 4) = 0
Solve for x
x = - 7 and x = 4
Hence, the solutions to the equation are x = - 7 and x = 4
Read more about quadratic equations at:
Consider the given quadratic equation
Comparing the given quadratic equation to the general equation , we get a= 1, b=0 and c= -50
So, the solution to the quadratic equation is given by:
So, the solutions to the given quadratic equation are .
Answer:
c
Step-by-step explanation:
.......................
Answer:
Step-by-step explanation:
Given Andrew has $600 for materials and can make 18 pieces of furniture, you want to know the number of each kind that maximizes profit if each bookcase costs $20 and gives $60 profit, while each TV stand costs $40 and gives $100 profit.
If x and y represent the numbers of bookcases and TV stands Andrew builds, respectively, then he wants to ...
maximize 60x +100y
subject to ...
The attached graph shows the solution space for these constraints. The profit is maximized at the vertex of the space where the profit function line is farthest from the origin. Andrew maximizes his profit by building ...
Andrew needs to solve a linear programming problem to find how many bookcases and TV stands he should manufacture for optimal profit. This is done by setting up and solving inequalities representing Andrew's time and material cost constraints, graphing the feasible region, and finding the point(s) in this region that yield the highest profit.
This question deals with the topics of linear programming and profit maximisation. Here, Andrew has to decide how much of each type of furniture, bookcases or TV stands, he should produce to maximise profit while considering time and material cost constraints.
From the given conditions, we get two inequalities. The first related to time says that the total number of bookcases and TV stands is less than or equal to 18: let bookcases be x, TV stands be y, thus we have x + y <= 18. The second involving the cost of material says that the total cost spent on materials for both products does not exceed $600: thus, we also have 20x + 40y <= 600.
You can graph these inequalities on the x-y plane to get a visual representation of the possibilities.
Finally, to find the optimal solution (i.e., the highest profit), you calculate the profit function P = 60x + 100y for each point in the feasible region and select the point that provides the highest profit.
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