What is the factor expression of -20a-divided by 12b

6x-3x+9=2+8x<br><br> X+8=15+4x-7<br><br> 4x+5-x=10+3x+4

Effectus [21]

In order to find the solution you just have to answer one of the equations to solve for x then plug it in for the other ones. so lets start. so x equals 1/3

4 0

3 years ago

kenzie bought a shirt for $18. the next day she saw the shirt was selling for 24.60. what is the percent increase

Luba_88 [7]

You are trying to solve what percent of the difference between $26.60 and $18 is of $24.60, so:

$24.60 - $18 = $6.60

24.60x = $6.60
x = 6.60/24.60
x = 0.2683

So the percent increase is 26.83%

3 0

3 years ago

Please help me with this

balandron [24]

It would be the last one because 5 columns are shaded and there are 10 columns all together. 50/100= 0.5

6 0

4 years ago

Read 2 more answers

There are four movies showing at the theater, 2/5 of the people bought tickets for the comedy, 1/4 bought tickets for the horror

RUDIKE [14]

Given:

Number of people bought tickets for comedy = $\frac{2}{5}$

Number of people bought tickets for horror = $\frac{1}{4}$

Number of people bought tickets for kids movie = $\frac{3}{10}$

To find the number of people who bought tickets for the action movie.

Let us take,

Total number of tickets = 1

Now,

Total number of tickets for comedy, horror and kids movie are = $(\frac{2}{5} +\frac{1}{4} +\frac{3}{10} )$

So,

$(\frac{2}{5} +\frac{1}{4} +\frac{3}{10} )$

LCM of 5,4,10 = 20

= $\frac{8+5+6}{20}$

= $\frac{19}{20}$

Rest are action movie's tickets.

Therefore,

Number of action movie tickets = $1-\frac{19}{20}$

= $\frac{20-19}{20}$

= $\frac{1}{20}$

Hence,

The number of people who bought the tickets for action movie is $\frac{1}{20}$ .

7 0

4 years ago

Let V be the volume of the solid obtained by rotating about the y-axis the region bounded by y=√x and y=x^2. Find V either by sl

Ede4ka [16]

Answer:

The volume of the solid is $3\pi/10$

Step-by-step explanation:

In this case, the washer method seems to be easier and thus, it is the one I will use.

Since the rotation is around the y-axis we need to change de dependency of our variables to have $f(x)\rightarrow f(y)$ . Thus, our functions with $y$ as independent variable are:

$x=\sqrt{y}\\ x=y^2$

For the washer method, we need to find the area function, which is given by:

$A=\pi\cdot [(\rm{outer\ radius)^2 -(\rm{inner\ radius)^2 ]$

By taking a look at the plot I attached, one can easily see that for a rotation around the y-axis the outer radius is given by the function $x=\sqrt{y}$ and the inner one by $x=y^2$ . Thus, the area function is:

$A(y)=\pi\cdot [(\sqrt{y} )^2-(y^2)^2]\\A(y)=\pi\cdot (y-y^4)$

Now we just need to integrate. The integration limits are easy to find by just solving the equation $\sqrt(y)=y^2$ , which has two solutions $y=0$ and $y=1$ . These are then, our integration limits.

$V=\pi\int_{0}^1 (y-y^4)dy\\ V=\pi (\int_{0}^1 ydy - \int_{0}^1 y^4dy)\\ V=\pi/2-\pi/5\\\boxed{V=3\pi/10}$

3 0

3 years ago