Two containers are used to hold liquid. These containers have exactly the same shape. The first container has a height of , and it can hold of liquid. If the second container has a height of , how much liquid can it hold?

Answers

Answer 1

The second container can hold (1000/3) x h2 cubic centimeters of liquid.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

We can use the concept of similar shapes to solve this problem.

Since the two containers have exactly the same shape, the ratio of their corresponding dimensions (height, width, and length) will be the same. Let's denote the height of the second container by h2.

Now,

The first container has a height of h1 and can hold v1 units of liquid.

Since the containers have the same shape, the ratio of their heights will be the same as the ratio of their volumes.

So,

h2/h1 = (volume of container 2) / (volume of container 1)

Solving for the volume of container 2.

(volume of container 2) = (h2/h1) x (volume of container 1)

Substituting the given values, we get:

(volume of container 2) = (h2/3) x (1000)

where we have converted 1 liter to 1000 cubic centimeters.

Simplifying this expression.

(volume of container 2) = (1000/3) x h2

Therefore,

The second container can hold (1000/3) x h2 cubic centimeters of liquid.

Learn more about expressions here:

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Related Questions

What is (f • g) (x) ?

Answers

Answer:

=12x-3

Step-by-step explanation:

Stick g(x) in for x in the function of f(x)

f(x) = -4x+5

g(x) = -3x+2

f(g(x)) = -4( -3x+2) +5

         = 12x -8+5

         =12x-3  

Cleiton vai participar de uma maratona e para isso treina diariamente correndo 7 km. No final de três semana quantos quilômetros terá percorrido?

Answers

Answer:

Number of kilometer he run in 3 week = 147 kilometer

Step-by-step explanation:

Given:

Cleiton's daily run = 7 km

Find:

Number of kilometer he run in 3 week

Computation:

Number of days in a week = 7

Number of days in 3 week = 7 x 3

Number of days in a week = 21 days

Number of kilometer he run in 3 week = Cleiton's daily run × Number of days in a week

Number of kilometer he run in 3 week = 7 × 21

Number of kilometer he run in 3 week = 147 kilometer

Which of the following is equivalent to 5(4-m)-2(m+3)? *

don’t give me that link .

Answers

[tex]\longrightarrow{\green{Option\:1.\:(14\:-\:7m)}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]5 \: (4 - m) - 2 \: (m + 3) \\ \\ = 20 - 5m - 2m - 6[/tex]

Combining like terms, we have

[tex] = 20 - 6 - 5m - 2m \\ \\ = 14 - 7m[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]

I need help with can you guys show me the work.

Answers

Answer:

Δy = 30 ft.

Step-by-step explanation:

From the question given above, the following data were obtained:

Angle θ = 17.5°

Hypothenus = 100 ft

Opposite = Δy =?

The value of Δy can be obtained by using sine ratio as follow:

Sine θ = Opposite / Hypothenus

Sine 17.5 = Δy / 100

Cross multiply

Δy = 100 × Sine 17.5

Δy = 30 ft

how many miles from the runaway airplane at the start of this approach.​

Answers

Answer:

it should be 41 ml I think.

Luis put out 6 different pies at a picnic at the end of the picnic, he noticed this about the pies: one whole apple pie was eaten, and 3/4 of another apple pie was eaten 1/2 of the blackberry pie was eaten 1/8 of the blueberry pie was eaten 5/8 of the cherry pie was eaten 3/4 of the peach pie was eaten. What is the total amount of pies that where left over

Answers

Answer:

2 1/4

Step-by-step explanation:

amount left of apple pie = 1 - 3/4 = 1/4

amount left of blackberry pie = 1 - 1/2 = 1/2

amount left of blueberry pie = 1 - 1/8 = 7/8

amount left of cherry pie = 1 - 5/8 = 3/8

amount left of peach pie = 1 - 3/4 = 1/4

add this figures together

1/4 + 1/2 + 7/8 + 3/8 + 1/4

2 4 + 7 + 3 + 2

8

A retailer sells a refrigerator for a list price of $1,200. The retailers cost was $850. What is the percentage of the markup?

Answers

Answer:

41%

Step-by-step explanation:

1200-850=350

350 is the markup, now we need the percentage

the orginal price was 850 so we just need to divide 350 by 850

we get 0.4117...

convert that to a percentage and we have 41% markup

Write each absolute value in a box to show the order from least to greatest.

Answers

Answer:

From least to greatest: -12 -8 -2 5 11

Step-by-step explanation:

Please mark brainliest have a good day and i hope i helped :)

Answer:

(11)=(3)-(1)+(6)=6

Step-by-step explanation:

The slope of the line below? answer quickly

Answers

Answer:

D: - 2/7

Step-by-step explanation:

The gradient of the line is -2/7 because:

3-1 =2

-4-3=-7

2/-7

give me the factors of 30​

Answers

Answer: 1,2,3,5,6, and 10

Step-by-step explanation:

Will mark brainliest

Answers

Answer:

350

Step-by-step explanation:

32% of a number is 64 what is the number

Answers

Answer:

If you take 32 percent of a number and get 64, then what is that number? In other words, you know that 32 percent of a number is 64 and you want to know what that initial number is. Therefore, the answer to "64 is 32 percent of what number?" is 200, and you can also derive that 32 percent of 200 equals 64.

Step-by-step explanation:

200

Step-by-step explanation:

32% x = 64

(32/100)x= 64

0.32x=64

x=64÷0.32

x=200

What is the area of this figure? Enter enter in the box ___units2

Answers

Answer:

Step-by-step explanation:

U still in school

Answer:

42 square units

Step-by-step explanation:

We can divide the figure in two triangles and one rectangle

the two triangles are congruent

base  = |-5-2| = 7

height = 2

Total area of the two triangles = (7 *2)/2 * 2 = 14 square units

the rectangle have the length that is equal to the base of the triangles

height = |-2-2| = 4

Area = 7 *4 = 28 square units

Final area = 14+ 28 = 42 square units

PLEASE HELP! Urgent I'll give brainliest if answer is right tysm.
The force, F (Newtons), between two objects is inversely proportional to the square of the distance, d (metres), between them.
The force is 0.35 Newtons when the distance between the objects is 8 metres.
Work out F (rounded to 2 DP) when d=7 metres.

Answers

Sorry for the wrong answer

Answer:

0.46 Newtons

Step-by-step explanation:

The force, F (Newtons), between two objects is inversely proportional to the square of the distance, d (metres), between them.

f = k/d²

--------------------------------

to determine k use The force is 0.35 Newtons when the distance between the objects is 8 metres.

0.35 = k/8²

0.35 = k/64

multiply both sides by 64

22.4 = k

---------------------------

Work out F (rounded to 2 DP) when d=7 metres.

f = 22.4/7²

f = 22.4/49

f = 0.46

Please help this is due today!!

Answers

Answer:

81 grams

Step-by-step explanation:

if you use the calculator by putting in 7 for t in the equation: 100(0.97)^7

then  solve you get 80.79..... a big long decimal. round to the nearest whole number and you get 81

Y-intercept = 5
Slope = 3

Answers

Answer:

the equation as intercept form is

y = 3x + 5

y= 3+5 is the answer hope u get it right

Evaluate the following expression when r= 3 and t = 3.
(2 + r) - 11

Answers

Answer:

-6

Step-by-step explanation:

substitute

(2 + 3) -11

5 - 11

-6

Answer:

The answer is -6

Step-by-step explanation:

First, plug in the numbers into the original equation - (2+(3))-11

Then, simplify.  (5)-11

Simplify one more time.  -6

(I dont see anywhere to use the (t) in your equation)

Give the name (monomial,
binomial, trinomial etc.) and
degree of the polynomial.
4x5 + 3x3 – 7x

Answers

Answer:

Name:- Trinomial

Degree:- 5 [ the highest power of x is 5 ]

hope it is helpful to you

Find the second term of the arithmetic series described by a = -10, an = 26 and Sn = 200. 1. 1.5 2. -8.5 3. 16 4. 25

1. 1.5
2. -8.5
3. 16
4. 25​

Answers

Answer:

16

Step-by-step explanation:

mark it as the Brainliest

1. If NK = 7 and KL = 15, find NL.


2. If m∠JMK = (8x – 13)° and m∠LMK = (4x + 19)°, find x.

Answers

Answer:

NL = 13.26

x = 9.5

Step-by-step explanation:

Find the diagram attached

1) Given that NK = 7 and KL = 15

NL² =  KL² - NK²

NL²  = 15² -7²

NL²  = 176

NL  = 13.26

2) Given that m∠JMK = (8x – 13)° and m∠LMK = (4x + 19)°

From the  rhombus;

m<JML = 120 degrees

m∠JMK + m∠LMK = m∠JML

8x-13 + 4x +19 = 120

12x + 6 = 120

12x = 120-6

12x = 114

x = 114/12

x =  9.5

Hence the valle of x is 9.5

I need help. Please 30 points if you know no links, or I will report you.

Answers

Answer: for first question answer is second option and other question answer is again b

Step-by-step explanation:

Firstly you already see that the median is increasing because it is first 403 and changing to 553. We can understand it increased

Select the FOUR equations that are equivalent to 2(x+3)−2=16.

A (x+3)−1=8open paren x plus 3 close paren minus 1 is equal to 8

B (x+3)−2=8open paren x plus 3 close paren minus 2 is equal to 8

C 2(x+3)=182 times open paren x plus 3 close paren is equal to 18

D x+3=9x plus 3 is equal to 9

E 2x=122 x is equal to 12

F 2x=15

Answers

Answer:

A (x+3)−1=8open paren x plus 3 close paren minus 1 is equal to 8

C 2(x+3)=182 times open paren x plus 3 close paren is equal to 18

E 2x=122 x is equal to 12

Step-by-step explanation:

Given:

2(x+3) − 2 = 16

2x + 6 - 2 = 16

2x = 16 - 6 + 2

2x = 12

x = 12/2

x = 6

A. (x+3)−1=8

x + 3 - 1 = 8

x = 8 - 3 + 1

x = 6

B (x+3)−2=8

x + 3 - 2 = 8

x = 8 - 3 + 2

x = 7

C 2(x+3)=18

2x + 6 = 18

2x = 18 - 6

2x = 12

x = 12/2

x = 6

D x+3=9x

3 = 9x - x

3 = 8x

x = 3/8

E 2x=12

x = 12/2

x = 6

F 2x=15

x = 15/2

x = 7 1/2

What’s a converse in mathematics

Answers

Answer:

A converse is the result of reversing its two constituent statements.

Example, P-Q. Converse would be Q-P

In logic and mathematics, the converse of a categorical or implicational statement is the result of reversing its two constituent statements. For the implication P → Q, the converse is Q → P. ... Either way, the truth of the converse is generally independent from that of the original statement.

Point slope form equations can be converted into slope intercept form. Distinguish whether the following
equations are the equations of the same line. Prove and explain your answer. Show your work for your
teacher to review.
y+ 1 = 5(x + 2) and y = 5x + 10
PLEASE HELP IM LITERALLY DYING

Please help I will give brainlist

Answers

Answer:

they are NOT the same

Step-by-step explanation:

y+ 1 = 5(x + 2) is  y = 5x + 9

distribute the 5 and get 5x + 10

when you subtract the 1 from both sides the 10 becomes a 9

Use the proportion of the triangle enlargement to find the missing measure of the enlarged triangle. 1. Set up the proportion:

Answers

Answer:

[tex]x =24[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Required

Complete the blanks

1: Set up the proportion:

[tex]\frac{9}{6} = \frac{x}{16}[/tex]

2: Use cross product:

[tex]9(16)=6x[/tex]

3: Simplify:

[tex]144 = 6x[/tex]

4: Divide:

[tex]144/6 = 6x/6[/tex]

[tex]24 = x[/tex]

[tex]x =24[/tex]

Answer: 4 cm

Step-by-step explanation:

Please help first real answer will get brainliest

Answers

Answer:

6

Step-by-step explanation:

a1(n-1) + D

d = 6


(12 points)Please I need this answer right away multiple-choice answer trolls will be reported thank you lovesss
Hopefully one if you can help me And explain

Answers

Answer:

It's A

Step-by-step explanation:

B is out, because each step increases the value linearly by 1

C is out, because each step increases the value linearly by 9

D is out, because each step increases the value linearly by 6

A increases fivefold per step

I plotted the given ordered pairs as points on a plot and figured out the exact function for you, just so that you can look at it

I will give anyone who can give me the right answer to the Brainist! I really need an answer!

Answers

Answer:

a. 49 ft (nearest ft)

b. 24.5 sec

Step-by-step explanation:

a. work out TOP

[tex] \sqrt{ {45}^{2} + {20}^{2} } \\ = 49.24 \\ = 49[/tex]

b.

[tex] \frac{49}{2} \\ = 24.5[/tex]

divide by 2 coz its 2 ft per second. so 49 ft for 24.5 sec

Answer:

49 feet

25 seconds

Step-by-step explanation:

use the pythagorean theorem

a² + b² = c²

20² + 45² = c²

400 + 2,025 = c²

2425 = c²

Take the square root of both sides

c = 49.244289009

Rounded

49 feet

------------------------

time

t = 49 /2

t = 24.5 seconds

Rounded

25 seconds

a right cone with base circumference 14 pi ft
and slant height 3 times the radius. Give answer in terms of pi

Answers

the answer is a batty fish with a Somali forehead

which of the following is equivalent to squareroot 8?

Answers

Answer:

2√2

Step-by-step explanation:

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