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3 years ago

Factor the expression 3w - 6

Mathematics

1 answer:

Musya8 [376]3 years ago

8 0

3 is common and therefore the factorization of the expression will be

3(w-2)

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betty closes the nozzle and fills it completely with a liquid. She then opens the nozzle. If the liquid drips at the rate of 14

natta225 [31]

Answer:

4.71 minutes

Step-by-step explanation:

Incomplete question [See comment for complete question]

Given

Shape: Cone

$r = 3$ -- radius

$h = 7$ --- height

$Rate = 14in^3/min$

Required

Time to pass out all liquid

First, calculate the volume of the cone.

This is calculated as:

$V = \frac{1}{3} \pi r^2h$

This gives:

$V = \frac{1}{3} * 3.14 * 3^2 * 7$

$V = \frac{1}{3} * 197.82$

$V = 65.94in^3$

To calculate the time, we make use of the following rate formula.

$Rate = \frac{Volume}{Time}$

Make Time the subject

$Time= \frac{Volume}{Rate }$

This gives:

$Time= \frac{65.94in^3}{14in^3/min}$

$Time= \frac{65.94in^3}{14in^3}min$

Cancel out the units

$Time= \frac{65.94}{14} min$

$Time= 4.71 min\\$

3 0

3 years ago

Graph the line that has a slope of 1/3 and includes the point (0,9).

jekas [21]

Answer:

you can use the calculator very nice

7 0

4 years ago

Write an algebraic expression for the given quantity. Let x represent the unknown value. One-eight of the sum of a number and th

Mashcka [7]

Answer:

Required expression for one-eight of the sum of a number and three is $\frac{x}{8} + 3$

Solution:

Given that unknown value is represented by variable x.

Need to create algebraic expression for One-eight of the sum of a number and three.

Let’s first find one eight of the number that is 1/8th of x = $\frac{x}8}$

Now on adding three we get

$\frac{x}{8} + 3$

Hence required expression for one-eight of the sum of a number and three is $\frac{x}{8} + 3$

7 0

3 years ago

At the movie theatre, child admission is $6.40 and adult admission is $9.90. On Friday, 154 tickets were sold for a total sales

Minchanka [31]

6.40x+9.90(154-x)=1230.90
Solve for x
X=84 for child

154-84=70 for adults

4 0

3 years ago

Make r the subject of the formula <img src="https://tex.z-dn.net/?f=v%20%3D%20%5Cpi%20%5C%3A%20h%20%7B%7D%5E%7B2%7D%28r%20-%

Vaselesa [24]

Answer:

$\boxed{r = \frac{h}{3} + \frac{v}{\pi {h}^{2} } }$

Step-by-step explanation:

$Solve \: for \: r: \\ = > v= \pi {h}^{2}(r - \frac{h}{3} ) \\ \\ v=\pi {h}^{2}(r - \frac{h}{3} )is \: equivalent \: to \: {h}^{2}\pi(r - \frac{h}{3} ) = v: \\ = > {h}^{2}\pi(r - \frac{h}{3} ) = v \\ \\ Divide \: both \: sides \: by \: \pi {h}^{2} : \\ = > r - \frac{h}{3} = \frac{v}{\pi {h}^{2} } \\ \\ Add \: \frac{h}{3} \: to \: both \: sides: \\ = > r = \frac{h}{3} + \frac{v}{\pi {h}^{2} }$

8 0

3 years ago