How many days did Pete's Pizza meet its goal? Round the calculation to the nearest percent.

56 out of 128 students went on a trip during vacations what percent of students went on trips

EleoNora [17]

56/128
Simplify
28/64 - 14/32 - 7/16
7/16 = x/100
Cross multiply
700 = 16x
x=43.75
43.75%

8 0

4 years ago

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:

Maximization With Derivatives

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

Twice the sum of two consecutive integers equals 42

Marianna [84]

Hello,

Let's assume n the first integer
n+1 the greater
n+(n+1)=2n+1 is odd but 42 (universel answer in Robots IE) is even!!!!
Not answer!

6 0

3 years ago

Jaffrey was offered a job at $950 per month with a $22 increase every month for the first year. How much money can he make in th

iogann1982 [59]

Answer:

Jaffrey will end up making $1214 in the first year

Step-by-step explanation:

950 + 12(22) = ?

first lets find out what 12 * 22 =?

12 * 22 = 264

now lets add 264 to 950

264 + 950 = 1214

5 0

3 years ago

guys i need help with solving the system of equations and combining the equations. also show your work. the equations are x-4y=-

Firdavs [7]

X-4y=-12
4x-y=12

eliminate y's
multily 2nd equaiton by -4 and add to top one

x-4y=-12
-16x+4y=-48 +
-15x+0y=-60

-15x=-60
divide both sides by -15
x=4
sub back
x-4y=-12
4-4y=-12
minus 4 both sides
-4y=-16
divide both sides by -4
y=4

x=4
y=4
(x,y)
(4,4)

5 0

3 years ago