The volumes of two cylindrical cans of the same shape vary directly as the cubes of their radii. If a can with a six-inch radius holds 1½ pints, how many gallons will a similar can with a 24-inch radius hold?

Answers

Answer 1

Answer:

The second similar can with a radius of 24-inch radius will hold 12 gallons

Step-by-step explanation:

The given parameters are;

The volumes of the cylindrical can ∝ (The radius of the cans)³

The volume of first can, V₁ = 1¹/₂ pints

The radius of the first can, r₁ = 6-inch

The radius of the second can, r₂ = 24-inch

Therefore, we have;

V ∝ r³

V = k × r³

∴ 1¹/₂ pints ∝ (6 in.)³

1¹/₂ pints = 43.3125 in³

∴ 43.3125 in³ = k × 216 in.³

The constant of proportionality, k = 43.3125/216 = 0.2005208333

Therefore, we have for the second can, we have;

V₂ = k × r₂³ = 43.3125/216 × (24 in.)³ = 2772 in.³

The volume of the second can = 2772 in.³

1 in.³ = 0.004329 gallons

∴ 2772 in.³ = 2772 × 0.004329 gallons = 12 gallons

Therefore, the volume the second similar can with a 24-inch radius will hold = 12 gallons.


Related Questions

please actually help me. ill give brainliest if you explain your answer.

Answers

Answer:

subtract 11 from both sides

Step-by-step explanation:

-3x+11=44

-3x=33

x=-11

Answer:

Subtract 11 from both sides

Step-by-step explanation:

[tex]-3x+11=44\\\\Subtract 11 from both sides\\-3x+11-11=44-11\\\\simplify\\\\-3x=33\\\\Divide both sides by -3\\\frac{-3x}{-3} =\frac{33}{-3} \\x=-11[/tex]

I need help fast thank you all!!

Answers

Answer:

b = 5.2

c = 3.5

Step-by-step explanation:

By 45°- 45° - 90° triangle theorem:

[tex]c = \frac{1}{ \sqrt{2} } \times 5 \\ \\ c = \frac{1}{ 2} \times 5 \sqrt{2} \\ \\ c = 2.5 \times 1.414\\ \\ c = 3.535 \\ \\ c \approx \: 3.5[/tex]

By 30°- 60° - 90° triangle theorem:

[tex] b = \frac{ \sqrt{3} }{2} \times (2 \times 3) \\ \\ b = 3 \sqrt{3} \\ \\ b = 3 \times 1.732 \\ \\ b = 5.196 \\ \\ b \approx 5.2[/tex]

Given D'E'F'G' is a dilation of DEFG, find the scale factor of dilation.

Answers

Answer:

7.5

Step-by-step explanation:

157.5/21 = 7.5

What is the measure of the missing angle?

Answers

23.3 is the exact answer

Helppp!!
What is the value of the missing angle?

Answers

Answer:

105

Step-by-step explanation:

all angles inside a triangle add up to equal 180, the inside angle at R is 75 degrees, the TP line is obviously a 180 degree angle, because it's just a straight line, so you subtract 75 from 180 to get 105

hope this helps :)

The hanger image below represents a balanced equation,
6
21
Find the value of d that makes the equation true.
MY
d=

Answers

Answer:

The value of d that balances the equation is d=15

Step-by-step explanation:

Equations

We are given an image with a hanger that represents a balanced equation.

If the equation is balanced, then the 'weights' of each side should be equal.

On the right side, there is 21 and on the left side, there are 6 and d.

Adding both, we have 6+d on the left side.

Equating both sides:

6 + d = 21

To find d, we subtract 6 on both sides:

d = 21 - 6

d = 15

The value of d that balances the equation is d=15

Answer:

d=15

Step-by-step explanation:

6+d=21

so that means d=15

6+15=21

hope this helped! :)

Wilson is 6 years older than Mary. Wilson's age is 10 years less than five times Mary's age. The equations below model the relationship between Wilson's age (w) and Mary's age (m):

w = m + 6
w = 5m − 10

Which is a possible correct method to find Wilson's and Mary's ages?

Solve w + 6 = 5w − 10 to find the value of w.
Write the points where the graphs of the equations intersect the x axis.
Solve m + 6 = 5m − 10 to find the value of m.
Write the points where the graphs of the equations intersect the y axis.

Answers

Answer:

no 4=f

Step-by-step explanation:

dwfn sdv and it appers to be marys age ;)

think before you do something rude

Answer:  

C. Solve m + 6 = 5m - 10  

Step-by-step explanation:  

Wilson is 6 years older than Mary.  

(MARY's age + 6 = WILSON's age)  

Wilson's age is 10 years less than five times Mary's age.  

(MARY's age * 5 - 10years = WILSON's age)

(Mary is 4 years old and Wilson is 10:  

4 + 6 = 10  

4(5) = 20 - 10 = 10  

just in case you were curious)

Good luck!!

Tyler ate x fruit snacks, and Han ate less than that. Write an equation to represent the relationship between the number Tyler ate (x) and the number Han ate (y).

Answers

Tx -yx I believe not sure

5x + 3y = 5
5x + 7y = 25

Answers

Answer:

(-2,5)

Step-by-step explanation:

Need help pls very important 25 points here for person who gives good answer will get brainlyest

Answers

Answer: D. 2

Step-by-step explanation:

-3t + 6 = 0

1. Subtract 6 from each side

-3t + 6 - 6 = 0 - 6

-3t = -6

2. Divide each side by -3 to isolate t and get the answer to the equation

-3t/-3 = -6/-3

t = 2

You can check your answer by plugging your calculated value back into the equation and evaluating to find that 0 = 0.

!!Please Help!! Find the value of z to the nearest tenth.

Answers

Answer:

x = 14[tex]\sqrt{2}[/tex]

y = 14

z= 14[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Notice that the top triangle is a 45-45-90 triangle and the triangle below is a 30-60-90 triangle.

Using the fact that the top triangle is a 45-45-90 triangle and also an isosceles triangle, we can see that x will be the same as its respective leg, 14[tex]\sqrt{2}[/tex]

Now, we must find a side length of the bottom triangle. We can use the Pythagorean Theorem to find the third side of the top triangle, which is also a side of the bottom triangle. We can find that the third side must be 28. We can now use this to find the other sides of the bottom triangle.

Since y is opposite to the 30 degree angle, it is half of the hypotenuse. The hypotenuse which we found earlier is 28, therefore, y is 14. z is then 14[tex]\sqrt{3}[/tex] using either Pythagorean Theorem or special right triangle properties for 30-60-90.

Can you please help me with this???

Answers

Answer:

SQT = 100

Step-by-step explanation:

A full circle equals 360 degrees, when the other angles are added up 140 + 120 = 260 which is 100 off of 360 meaning the last angle is that 100 degrees.

3
Regina writes the expression y +9.
4
Which expression is equivalent to the one Regina
writes?
A (9.3 : 4) + y
B 9+ y(3:4)
C (y +9)(3-4)
D None of these

Answers

Answer:

a

Step-by-step explanation:

if you do it right it is a

the answer would be (9•3 divided by 4)+y which is A

What is the simplest form of this expression?
-x(4x2 - 6x + 1)

Answers

Answer:

−4x3+6x2−x

Step-by-step explanation:

(−x)(4x2−6x+1)

=(−x)(4x2+−6x+1)

=(−x)(4x2)+(−x)(−6x)+(−x)(1)

=−4x3+6x2−x

what is the value of x? -6x=90
Please show you got the answer

Answers

Answer:

-15

Step-by-step explanation:

-6x = 90

x = 90 ÷ -6

x = -15

Answer:

X = -15

Step-by-step explanation:

90/-6 is equal to -15.

You divide the number from the side with the variable from the other side of the = sign.

Select the equation that represents the graph above.


y=x√−2y is equal to square root of x minus 2 , ,


y=x√+2y is equal to square root of x plus 2 , ,


y=x+2y is equal to x plus 2 , ,


y=x+2−−−−−√

Answers

Answer:

                                                          _

just did the test and got it right its /x + 2

Step-by-step explanation:

just did the test i cant make the simble though but the right answer is the one where the line is only above the x oh wait actually i see your questions know my delete key broke soooo its the 2nd option

Help me hurry please
Giving points

Answers

Increased:B,E
Decreased:A,D
Stayed the same:C
B and E increased. A and D decreased, and C stayed the same. :)

Find the exact length of the third side.
35
28

Answers

Answer:

44.821869662

Step-by-step explanation:

Could you write 9 inches and 180 as a ratio?

Answers

Answer:

9:120 but if simplified 1:20

Step-by-step explanation:

I hope this helps

2 lines that never intersect

Answers

Answer:

are parallel

Step-by-step explanation:

PLEASE MARK BRAINLIEST!

Answer:

Your answer is:

Step-by-step explanation:

dun, dun, DUNNN

parallel lines!

I hope this helps!

- sincerelynini

Sneakers at Mr lou's garage sale cost the same price. alexander paid $90.52 for four pairs. How many pairs of sneakers did justin buy if he paid $135.78? write a proportion and use cross products to solve for d, the number of sneakers that David bought.

Answers

Answer 6

Step-by-step explanation:

I found the answer on calculator

3х - 2y = 1 in standard form

Answers

Answer:

y= (3x-1)/2

Step-by-step explanation:

WILL MARK BRAINLIEST TO THE BEST ANSWERS. The interior angles of a pentagon measure x°, (2x)°, (2.5x)° , (x + 10)° , and (2x + 20)°. Determine the value of x. PLEASE SHOW ALL SOLUTIONS NESSICARY. THANK YOU.......

Answers

Answer:

x=60

Step-by-step explanation:

The sum of interior angles of a regular Pentagon is 540°

x+2x+2.5x+x+10+2x+20=540

8.5x=540-30

8.5x=510

x=510/8.5=60

Answer:

x = 60°

Step-by-step explanation:

Sum of interior angles of a regular polygon is:

180°(n-2)

Pentagon has 5 sides, so sum of angles is:

180°(5-2) = 180°*3 = 540°

For the given pentagon we have sum of angle measures as below, and solving for x:

x + 2x + 2.5x + (x +10) + (2x + 20) = 540°8.5x + 30° = 540°8.5x = 510°x = 510°/8.5x = 60°

The ratio of children to adults in a supermarket is 1 : 5
There are 15 children in the supermarket.
How many adults are in the supermarket?
pls answer quickly thanks :)

Answers

Answer: There are 75 Adults in the supermarket ask me why if you want a full on explanation. The full on reason of why it is 75 is because if you have a ratio of 1:5 and you now the one is for the kids and it is 15. Then you add 15 from 1 until you get to the 5th ratio. Hence, it brings you all the way to 75 adults. I hope this helped you, and anyone else

Step-by-step explanation:

Describe and correct the error in using properties of parallelograms.

Answers

Answer/Step-by-step explanation:

Opposite angles of a parallelogram are equal to each other.

Therefore, <S = <U, and <T = <V

Consecutive angles of a parallelogram are supplementary.

Therefore,

m<S + m<V = 180°

50° + m<V = 180°

m<V = 180° - 50° (subtraction property of equality)

m<V = 130°

write the slope-intercept form of the equation of the line.

Answers

Answer: y=x+2

Step-by-step explanation:

ok, so the points from the graph in the picture that i used were (0, 2) and (-2, 0).

(0, 2) is the y-intercept, which will replace b.

y=mx+2

the slope of the line is 1.

y=1x+2

y=x+2

PLEASE HELP ASAP!!

The graph represents which system of inequalities?

A.) y<=-2x+3
y<=x+3

B.) y>=-2x+3
y>=x+3

C.) y<=-3x+2
y<=-x+2

D.)y>-2x+3
y>x+3

Answers

Answer:

Its the yellow area

Step-by-step explanation:

There are about 16 kilometers in 10 miles. About how many kilometers are in 5 miles! HELP ​

Answers

Answer:

8 kilometers

Step-by-step explanation:

Since 5 is half of 10, then do 16/2 to find how many kilometers.

Answer:

8

Step-by-step explanation:

16 kilometres in 10 miles (divide by 10 to find 1)

  1.6km                         1 mile

   8(times1.6 by 5)                                   5 miles

please mark as brainliest!!!

Guys I rlly need help this due in 4 minutes, whats 1683 divided by 383 please help me

Answers

Answer:

1683 / 383 = 4.39 or approx 4.4

Answer:

4.39425587467 or 4 remainder 151.

Step-by-step explanation:

Long division.

How many solutions are there to the following equation?
5 ( x-3 ) - 3x = 8x - 15 - 6x

A) exactly two solutions
B) exactly one solution
C) no solution
D) infinitely many solutions

Answers

Answer:

D) infinitely many solutions

Step-by-step explanation:

5 ( x-3 ) - 3x = 8x - 15 - 6x

5x - 3x - 15 = 8x - 6x - 15

2x - 15 = 2x - 15

2x = 2x

Since, equations of both lines are same. Therefore, there are infinitely many solutions.

Answer:

D

Step-by-step explanation:

Given

5(x - 3) - 3x = 8x - 15 - 6x

5x - 15 - 3x = 2x - 15

2x - 15 = 2x - 15

Since both sides are the same then any real value of x will be a solution.

That is there are infinitely many solutions

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