MATHEMATICS HIGH SCHOOL

Two hundred percent more than 50 is?
a).100 b).150 c).175 d).200 e).250

Answers

Answer 1
Answer: 50+2\cdot50=50+100=150

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A company has three operational departments namely weaving, processing and packing with capacity to produce three different types of clothes namely suiting’s, shirting’s and woolens yielding a profit of rupees 2 ,4and 3 per meter respectively.1 meter of suiting requires 3 minutes in weaving, 2 minutes in processing and 1 minute in packing. Similarly 1 meter of shirting requires 4 minutes in weaving ,1 minute in processing and 3 minutes in packing.1 meter of woolen requires 3 minutes in each department .In a week total run time of each department is 60,40 and 80 hours for weaving, processing and packing respectively. Formulate this as LPP and find the solution.

Answers

Answer: Scroll down for solution

Step-by-step explanation: To formulate this problem as a Linear Programming Problem (LPP), we need to define the decision variables, objective function, and constraints.

1. Decision Variables:

Let's denote the number of meters of suiting, shirting, and woolen produced as:

- x1: Number of meters of suiting produced

- x2: Number of meters of shirting produced

- x3: Number of meters of woolen produced

2. Objective Function:

The objective is to maximize the profit, which can be calculated as follows:

Profit = 2x1 + 4x2 + 3x3

3. Constraints:

a) Weaving Department:

The total run time available for weaving is 60 hours per week. The time required to produce 1 meter of suiting, shirting, and woolen in the weaving department is given as 3 minutes, 4 minutes, and 3 minutes, respectively. Since there are 60 minutes in an hour, the constraint for the weaving department can be expressed as:

3x1 + 4x2 + 3x3 ≤ 60

b) Processing Department:

The total run time available for processing is 40 hours per week. The time required to produce 1 meter of suiting, shirting, and woolen in the processing department is given as 2 minutes, 1 minute, and 3 minutes, respectively. The constraint for the processing department can be expressed as:

2x1 + 1x2 + 3x3 ≤ 40

c) Packing Department:

The total run time available for packing is 80 hours per week. The time required to produce 1 meter of suiting, shirting, and woolen in the packing department is given as 1 minute, 3 minutes, and 3 minutes, respectively. The constraint for the packing department can be expressed as:

1x1 + 3x2 + 3x3 ≤ 80

d) Non-negativity constraint:

The number of meters produced cannot be negative, so we have the constraint:

x1, x2, x3 ≥ 0

Now, we have the LPP formulated with the decision variables, objective function, and constraints. To find the solution, we can use a method such as the Simplex method or graphical method to optimize the objective function while satisfying the constraints.

Solve the following simultaneous linear equations by the elimination method. 2p - 3q = 13
p - 3q = 2​

Answers

Answer:

p = 11           q = 3

Step-by-step explanation:

      2p - 3q = 13

-      p - 3q = 2

p = 11

p - 3q = 2​

(11) - 3q = 2

-3q = -9

q = 3

Answer:

p=11 q=3

Step-by-step explanation:

subtract second from first

2p-3q=13

-p+3q=-2

p=11

plug in

11-3q=2

-3q=-9

q=3

What is the seventh term of (x + 4)8?A. 114,688x2
B. 114,688x3
C. 114,688x4
D. 114,688x5

Answers

The (p+1)-th term of the Newton binomial expansion

(a+b)^(n)

is given by

t_(p+1)=\dbinom{n}{p}\,a^(n-p)\,b^(p)
__________________________

We want the 7th term. Hence, we set p+1 to be 7:

p+1=7~~\Rightarrow~~p=6


Then, the 7th term is

t_(7)=\dbinom{8}{6}\,x^(8-6)\,4^(6)\n\n\n t_(7)=(8!)/(6!\cdot (8-6)!)\cdot x^(8-6)\cdot 4^(6)\n\n\n t_(7)=(8\cdot 7\cdot \diagup\!\!\!\! 6!)/(\diagup\!\!\!\! 6!\cdot 2!)\cdot x^(2)\cdot 4^(6)\n\n\n t_(7)=(8\cdot 7)/(2\cdot 1)\cdot x^(2)\cdot 4^(6)\n\n\n t_(7)=28\cdot x^(2)\cdot 4,096\n\n \boxed{\begin{array}{c} t_(7)=114,688\,x^(2) \end{array}}


Correct answer: \text{A. }114,688\,x^(2).

On one play, a football team gained 9 yards. On the next play, the football team received a penaltyof -10 yards.

Answers

Answer:

If your asking what the sum of the yards is it would be -1

Step-by-step explanation:

First I would make a number line from -10 to positive 10. Then from zero add nine. Then subtract 10 from 9. Since 10 is bigger than nine it would be a negative number. Hope this helped.

Of 60 students in a class 2/3 are girls, and 2/5 of the class are taking music lessons. What is the maximum number of girls that are not taking music lessons?

Answers

24 girls. Because 60/3=20 20*2=40. So than u do 40/5=8 8*2=16 40-16=24.

Find the distance between the two points in simplest radical form.
(4,3) and (−2,0)

Answers

Answer:

Step-by-step explanation:

The simplest radical form would be the 3 square root 5. Since the answer would be the square root of 45, the simplest radical would be 3 square root 5
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