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3 years ago

What is the quotient of 4536 and 36?

Mathematics

2 answers:

GuDViN [60]3 years ago

6 0

Answer:

126.

Step-by-step explanation:

Using long division:

1 2 6

---------

36 ) 4536

---

216

----

docker41 [41]3 years ago

4 0

Answer:

126

Step-by-step explanation:

you divide 4536 and 36 and you get 126 as your quotient

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If Mr. O'Brien cuts five lawns per day at $40 each, and he has a goal of making $3500, how many days will it take to reach that

Ede4ka [16]

Answer:

17 days and a half.

Step-by-step explanation:

First, we can find how much money he makes per day cutting lawns. This can be found with the equation:

40 x 5 = 200

He makes $200 a day cutting lawns.

Now we can divide his goal money ($3500) by his daily rate ($200) to get the number of days it will take to reach his goal.

3500 ÷ 200 = 17.5

It will take him 17.5 days to reach his goal.

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State the linear programming problem in mathematical terms, identifying the objective function and the constraints. A firm makes

Sedbober [7]

Answer:

Maximum profit at (3,0) is $27.

Step-by-step explanation:

Let quantity of products A=x

Quantity of products B=y

Product A takes time on machine L=2 hours

Product A takes time on machine M=2 hours

Product B takes time on machineL= 4 hours

Product B takes time on machine M=3 hours

Machine L can used total time= 8hours

Machine M can used total time= 6hours

Profit on product A= $9

Profit on product B=$7

According to question

Objective function Z= $9x+7y$

Constraints:

$2x+3y\leq 6$

$2x+4y\leq 8$

Where $x\geq 0, y\geq 0$

I equation $2x+3y\leq 6$

I equation in inequality change into equality we get

$2x+3y=6$

Put x=0 then we get

y=2

If we put y=0 then we get

x= 3

Therefore , we get two points A (0,2) and B (3,0) and plot the graph for equation I

Now put x=0 and y=0 in I equation in inequality

Then we get $0\leq 6$

Hence, this equation is true then shaded regoin is below the line .

Similarly , for II equation

First change inequality equation into equality equation

we get $2x+4y=8$

Put x= 0 then we get

y=2

Put y=0 Then we get

x=4

Therefore, we get two points C(0,2)a nd D(4,0) and plot the graph for equation II

Point A and C are same

Put x=0 and y=0 in the in inequality equation II then we get

$0\leq 8$

Hence, this equation is true .Therefore, the shaded region is below the line.

By graph we can see both line intersect at the points A(0,2)

The feasible region is AOBA and bounded.

To find the value of objective function on points

A (0,2), O(0,0) and B(3,0)

Put A(0,2)

Z= $9\times 0+7\times 2=14$

At point O(0,0)

Z=0

At point B(3,0)

Z= $9\times3+7\times0=27$

Hence maximum value of z= 27 at point B(3,0)

Therefore, the maximum profit is $27.

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3 years ago

The diagram shows a sketch of John's yard. He wants to plant grass, so he must calculate the area of the yard. The distance from

Arturiano [62]

The area of the yard is 50,600 square feet.

Option: C.

<u>Step-by-step explanation:</u>

The given information forms a trapezoid.

The AB is the upper base (a) and its length is 200 feet.

The CD is the lower base (b) and its length is 260 feet.

A straight line distance from AB and CD is the height (h) and its measures as 220 feet.

The area of trapezoid A= $\frac{a+b}{2} (h)$ .

A= $\frac{200+260}{2} (220)$ .

= $\frac{460}{2}(220)$ .

=230(220).

=50600 $ft^2.$

Thus the area of John's yard is 50,600 square feet.

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3 years ago