A powdered drink mix is stored in a cylindrical container that has a radius of 6 centimeters and a height of 14 centimeters. Which is closest to the maximum number of cubic centimeters the container will hold?

Answers

Answer 1

Answer: V=area of base times height
height=height
area of base=area of circle=pir^2
V=hpir^2
r=6
h=14

V=14pi6^2
V=14pi36
V=504pi
aprox pi=3.141592
V=1583.3 round
V=1583 cm^3

Answer 2

Answer: Basics of a circle of radius r = 6cm
A - area baze
A = πr² = π(6cm)² = 36πcm²
2A (upper and lower base) = 2* 36πcm² = 72πcm²

lateral surface is a rectangle . Side, and the length - lof the circle and side b is the height h of the cylinder .
l = 2πr = 2*π*6cm = 12πcm
h = 14cm
Ar - a rectangle
Ar = l*h = 12πcm * 14cm = 168πcm²

Area cylindrical
2A + Ar = 72πcm² + 168πcm² = 240πcm²

V = A*h = 36πcm² * 14cm = 504πcm³

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8 friends started a business. They will wear either a baseball cap or a shirt imprinted with their logo while working. They want to spend exactly $36 on the shirts and caps. Shirts cost $6 each and caps cost $3 each. Write a system of equations to describe the situation. Let x represent the number of shirts and y represent the number of caps.Graph the system. What is the solution and what does it represent?

Answers

For this case, the first thing we must do is define variables.

We have then:

y: number of caps

x: number of shirts

We now write the system of equations that represents the problem:

The graphical solution of the system of equations (see attached image) is:

Therefore, we have 4 shirts and 4 caps.

Answer:

See attached image for the graphic

number of caps = 4

number of shirts = 4

We can write this system of equations:

6x + 3y = 36
x + y = 8

If you graph this, it gives you a solution of (4, 4)

This tells us that the friends must buy 4 shirts and 4 caps in order to spend exactly $36 and to have 8 items total.

Write an absolute value inequality that has 3 and -5 as two of its solutions

Answers

absolute value makes all things inside positive (make result positive)
so one example is
|x+1|=4
so if you had 3 in it woul dyhave
|3+1|=4
|4|=4
4=4
true

if -5
|-5+1|=4
|-4|=4
4=4
treu

What is the vaule of X?

Answers

2x + 1 = 81

2x = 80

x = 40

x is a variable that represents the equation so x=40

How can estimation help me to find the area of a rectangle or square

Answers

If you know your multiplication tables it becomes quite simple to find the area of a rectangle. You can round your lengths up or down accordingly to find the area of a figure. For example, what if we had a square 2.334" by 3.574"? The 2.334 rounds down to 2 and the 3.574 rounds up to 4. Now we have a 2 by 4" rectangle. Now we find our area. 2*4=8 inches squared. Does that answer your question?

Write the equation of the line passing through (7,-4) and (-1,2) in slope intecept form

Answers

Answer: y = $(-3x)/(4)$ + $(5)/(4)$

Step-by-step explanation:

Using the formula for finding equation of a line :

$(y_(2) - y_(1) )/(x_(2)- x_(1))$ = $(y - y_(1) )/(x - x_(1) )$

From the question:

X1 = 7

X2 = -1

Y1 = -4

Y2 = 2

Substituting into the formula , we have

$(2 - (-4))/(-1 - 7)$ = $(y - (-4))/(x - 7)$

⇒ $(6)/(-8)$ = $(y+4)/(x - 7)$

$(-3)/(4)$ = $(y+4)/(x - 7)$

4( y + 4) = -3 ( x - 7)

4y + 16 = -3x + 21

4y = - 3x + 21 - 16

4y = - 3x + 5

y = -3x/4 + 5/4

Answer:

y=-3/4x+5/4

Step-by-step explanation:

A plane flew 1,000 miles away from London for one flight. For the next flight, it flew 500 miles toward London. How far was the plane from London after the second flight?

Answers

So, It First Flew 1000 Miles Away. So, It Is Positive 1000 Miles. Now, It Flew 500 Miles Closer, So Negative (closer) Distance. So, Add. 1000+(-500)
Adding Negative Is The Same As Subtracting So, 1000-500 = The Distance.
So, The Distance Away Is 500 Miles.

Answer:

500 miles

Step-by-step explanation:

Hope this helps!

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