Ask question

Ask question

All categories

2 years ago

6

The price of a notebook is 20% less than the price of a book. By

1 answer:

ki77a [65]2 years ago

3 0

Answer:

125%

Step-by-step explanation:

lets just say the book is $100. 20% less would be $80
now to go back to $100, we need to add $20 to $80
20 is 25% of 80, so add the extra 25% to 100% of 80

You might be interested in

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

What is the qoutient of 1/6 and 2/9

beks73 [17]

Answer:

$\frac{3}{4}$

Step-by-step explanation:

To find the quotient, we first need to know what quotient means.

Quotient is the solution to division problems.

So here is how we have to do this, first we identify our fractions:

$\frac{1}{6} and \frac{2}{9}$

Next, we must turn the fraction we are dividing by into a reciprocate:

$\frac{2}{9} turns into \frac{9}{2}$

Now we have $\frac{1}{6} and \frac{9}{2}$

Next, we multiply!:

$\frac{1}{6} x \frac{9}{2} = \frac{9}{12}$

Simplified:

$\frac{3}{4}$

8 0

3 years ago

Read 2 more answers

Last week, the price of apples at a grocery store was $1.60 per pound. This week, apples at the same grocery store are on sale a

Valentin [98]

Answer:

$6.48

Step-by-step explanation:

First you divide do the $1.60 and the 10% discount which will bring you to $1.44 and then you times $1.44 and 4 1/2 to get $6.48.

4 0

2 years ago

Read 2 more answers

Put the following equation of a line into slope-intercept form 4x+3y=-21

s2008m [1.1K]

Answer: Y=( $\frac{4}{3}$ ) x-7

Step-by-step explanation:

8 0

2 years ago

Using trig ratios to find the missing side or angle of a right triangle

Andru [333]

thats entire side is 12

Step-by-step explanation:

you have to multiply i think im not good at it sorry

8 0

2 years ago

Read 2 more answers