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2 years ago

3 less than the quotient of 18 and a number m in algebraic expression

Mathematics

1 answer:

SVETLANKA909090 [29]2 years ago

5 0

Answer:

18/m - 3

Step-by-step explanation:

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A closed can, in a shape of a circular, is to contain 500cm^3 of liquid when full. The cylinder, radius r cm and height h cm, is

Gemiola [76]

To express the height as a function of the volume and the radius, we are going to use the volume formula for a cylinder: $V= \pi r^2h$
where
$V$ is the volume
$r$ is the radius
$h$ is the height

We know for our problem that the cylindrical can is to contain 500cm^3 when full, so the volume of our cylinder is 500cm^3. In other words: $V=500cm^3$ . We also know that the radius is r cm and height is h cm, so $r=rcm$ and $h=hcm$ . Lets replace the values in our formula:
$V= \pi r^2h$
$500cm^3= \pi (rcm^2)(hcm)$
$500cm^3=h \pi r^2cm^3$
$h= \frac{500cm^3}{ \pi r^2cm^3}$
$h= \frac{500}{ \pi r^2}$

Next, we are going to use the formula for the area of a cylinder: $A=2 \pi rh+2 \pi r^2$
where
$A$ is the area
$r$ is the radius
$h$ is the height

We know from our previous calculation that $h= \frac{500}{ \pi r^2}$ , so lets replace that value in our area formula:
$A=2 \pi rh+2 \pi r^2$
$A=2 \pi r(\frac{500}{ \pi r^2})+2 \pi r^2$
$A= \frac{1000}{r} +2 \pi r^2$
By the commutative property of addition, we can conclude that:
$A=2 \pi r^2+\frac{1000}{r}$

7 0

3 years ago

When running a 100 meter race matt reaches his maximum speed when he is 40 meters from the starting line, and 7 seconds have ela

ch4aika [34]

Answer:

Step-by-step explanation:

time after 40 meters to 80 meters=12-7=5 s

distance=80-40=40 m

max. speed=40/5=8 m/s

4 0

2 years ago

Read 2 more answers

HELP!!!!:(<br>2.) WHAT'S THE RESULT?

Juli2301 [7.4K]

-1+5x

You combine like terms:

Here there are two different ones.

the number without the variable (the 1s) and the one with the variable (5x)

All you have to do is combine them:

1+(-1)+(-1) = 1-1-1 = -1

5x = 5x

So, the answer would be -1+5x

Hope this helps :D

6 0

2 years ago

-3x+7 x=-2<br> PLEASE SHOW WORK. Thanks

galben [10]

Answer:

1 :

Step 2 :

Equations which are never true :

2.1 Solve : 2 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

2.2 Solve : 2x+1 = 0

Subtract 1 from both sides of the equation :

2x = -1

Divide both sides of the equation by 2:

x = -1/2 = -0.500

One solution was found :

x = -1/2 = -0.500

5 0

3 years ago

Lily just paid off a $400 loan. She had to pay $60 in interest at a simple annual interest rate of 5%. How many years did Lily h

SCORPION-xisa [38]

Answer:

I=prt,,60=400*0.05t,,t=3 ..................

this is what i got i hope it is use full to you <3

Step-by-step explanation:

4 0

3 years ago