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3 years ago

6

Cities are on sale for five each Jennifer has 45 and wants to buy as many as she can how many CDs can Jennifer buy

1 answer:

Sati [7]3 years ago

7 0

Answer:

9 cd's

Step-by-step explanation:

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Help number one plzzzz

fomenos

Answer:

D

Step-by-step explanation:

A=(length)(width)

A = (1 1/2)(5 5/8)

A = 8 7/16

5 0

3 years ago

Write the numbers in order from least to greatest.<br> 1.23, 2.13, 3.12, 1.11

nadya68 [22]

Answer:

1.11,1.23,2.13, 3.12

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

What is 315 written as a product of prime factors in index form? Can somebody please explain this to me in english?

dmitriy555 [2]

I'm guessing it's like this
example
18=2*3*3=(2¹)(3²)

315/5=63
63/3=21
21/3=7

factored form is 3*3*5*7=(3²)(5¹)(7¹)

4 0

3 years ago

What is the total amount on an investment account of $450 at an

olchik [2.2K]

The equation for simple interest is I = PRT. I = interest earned, P = principal/money invested, R = rate as a decimal, T = time in years.

I = (450)(0.03)(4)
I = 54

$54 is your answer

3 0

2 years ago

Pam has 90 m of fencing to enclose an area in a petting zoo with two dividers to separate three types of young animals. The thre

andrew-mc [135]

Answer:

The area function is

$A=\frac{135}{2}x-\frac{9}{2}x^2$ .

The domain and range of A is $(0,15m)$ and $(0, 253.125 m^2]$ .

Step-by-step explanation:

The given length of fencing is $90 m$ .

Let the length and width of each pen be $x$ and $y$ respectively as shown in the figure.

As there are 3 pens, so, the total area,

$A= 3 xy \;\cdots (i)$

From the figure the total length of fencing is $6x+4y$ .

Here, for a significant area for the animals, $x>0$ as well as $y>0$ as $x$ and $y$ are the sides of ben.

From the given value:

$6x+4y=90\;\cdots (ii)$

$\Rightarrow y=\frac {45}{2}-\frac{3x}{2}$

Now, from equation (i)

$A=3x\left(\frac {45}{2}-\frac{3x}{2}\right)$

$\Rightarrow A=\frac{135}{2}x-\frac{9}{2}x^2\;\cdots (iii)$

This is the required area function in the terms of variable $x$ .

For the domain of area function, from equation (ii)

$x=15-\frac{2y}{3}$

$\Rightarrow x$ [as y>0]

So, the domain of area function is $(0,15m)$ .

For the range of area function:

As $x \rightarrow 0$ or $y\rightarrow 0$ , then $A\rightarrow 0$ [from equation (i)]

$\Rightarrow A>0$

Now, differentiate the area function with respect to $x$ .

$\frac {dA}{dx}=\frac{135}{2}-9x$

Equate $\frac {dA}{dx}$ to zero to get the extremum point.

$\frac {dA}{dx}=0$

$\Rightarrow \frac{135}{2}-9x=0$

$\Rightarrow x=\frac{15}{2}$

Check this point by double differentiation

$\frac {d^2A}{dx^2}=-9$

As, $\frac {d^2A}{dx^2}$ , so, point $x=\frac{15}{2}$ is corresponding to maxima.

Put this value back to equation (iii) to get the maximum value of area function. We have

$A=\frac{135}{2}\times \frac {15}{2}-\frac{9}{2}\times \left(\frac {15}{2}\right)^2$

$\Rightarrow A=253.125 m^2$

Hence, the range of area function is $(0, 253.125 m^2]$ .

4 0

3 years ago