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2 years ago

There are 121 students on 7 buses. What is the rate?

Mathematics

1 answer:

Alex_Xolod [135]2 years ago

5 0

Answer: 114 students are put on for buses

Step-by-step explanation: Pls mark branliest

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Suppose a rectangular pasture is to be constructed using 1 2 linear mile of fencing. The pasture will have one divider parallel

timama [110]

Answer:

$\displaystyle A=\frac{1}{192}$

Step-by-step explanation:

<u>Maximization With Derivatives</u>

Given a function of one variable A(x), we can find the maximum or minimum value of A by using the derivatives criterion. If A'(x)=0, then A has a probable maximum or minimum value.

We need to find a function for the area of the pasture. Let's assume the dimensions of the pasture are x and y, and one divider goes parallel to the sides named y, and two dividers go parallel to x.

The two divisions parallel to x have lengths y, thus the fencing will take 4x. The three dividers parallel to y have lengths x, thus the fencing will take 3y.

The amount of fence needed to enclose the external and the internal divisions is

$P=4x+3y$

We know the total fencing is 1/2 miles long, thus

$\displaystyle 4x+3y=\frac{1}{2}$

Solving for x

$\displaystyle x=\frac{\frac{1}{2}-3y}{4}$

The total area of the pasture is

$A=x.y$

Substituting x

$\displaystyle A=\frac{\frac{1}{2}-3y}{4}.y$

$\displaystyle A=\frac{\frac{1}{2}y-3y^2}{4}$

Differentiating with respect to y

$\displaystyle A'=\frac{\frac{1}{2}-6y}{4}$

Equate to 0

$\displaystyle \frac{\frac{1}{2}-6y}{4}=0$

Solving for y

$\displaystyle y=\frac{1}{12}$

And also

$\displaystyle x=\frac{\frac{1}{2}-3\cdot \frac{1}{12}}{4}=\frac{1}{16}$

Compute the second derivative

$\displaystyle A''=-\frac{3}{2}.$

Since it's always negative, the point is a maximum

Thus, the maximum area is

$\displaystyle A=\frac{1}{12}\cdot \frac{1}{16}=\frac{1}{192}$

6 0

3 years ago

10 times as much as O.08

umka21 [38]

You multiple 10 by 0.08 =0.8

7 0

2 years ago

Read 2 more answers

A rectangle had a length of 2x-7 and a with of 3x+8y. Write and simplify an expression for the perimeter of that rectangle?

wel

Answer:

Step-by-step explanation:

A rectangle had a length of 2x-7 and a width of 3x+8y

Perimeter P = 2(l + w)

P = 2(2x - 7 + 3x + 8y)

P = 2(5x + 8y - 7)

P= 10x + 16y - 14

4 0

3 years ago

What is the value of x

kirza4 [7]

The value of X = 10. A is the answer. You will equate the denominator by multiplying by the numerator and eventually you will get you answer which is 10

8 0

3 years ago

The area of a circle is 81 pi meters squared. What is the circumference, in meters?

pickupchik [31]

Answer:

I think the answer is 42.

6 0

2 years ago