Two containers, A and B begin with equal volumes of liquid.
120 ml is then poured from A to B.
А
B
Container B now contains 4 times as much liquid as A.
Find the volume of liquid left in container A at the end.
A
A
B.
B
Volume left in container A=
20
ml

Answers

Answer 1

Answer:

volume left in A is 80ml

Step-by-step explanation:

let original volume in both be x ml

after pouring from A to B

vol in A = x - 120

vol in B = x + 120

now it is given that

vol in B = 4 times vol in A

implies

[tex]x + 120 = 4 \times (x - 120) \\ x + 120 = 4x - 480 \\ 3x = 600 \\ x = 200[/tex]

hence original volume in A is 200ml. after pouring in B it is 200-120 = 80 ml


Related Questions

Cho tam giác ABC có AB =4cm ,AC=5cm,BC=6cm.Trên tia đối của tia AB lấy điểm D sao cho AD=5cm a) chứng minh : tam giác ABC đồng dạng với tam giác CBD b) tính CD

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Answer:

meta beta

Step-by-step explanation:

diem ryugudnhkng.

Find the percent of markup on a T-shirt that has a store cost of $4.87 and a selling price of $15.95

Answers

Answer:

69.47%

Step-by-step explanation:

Calculation to determine Find the percent of markup

Using this formula

Percent of markup=New price-Old price/Old price

Let plug in the formula

Percent of markup=$15.95-$4.87/$15.95

Percent of markup=$11.08/$15.95

Percent of markup=0.6947*100

Percent of markup=69.47%

Therefore the percent of markup is 69.47%

Lee ran a mile in 7 1/3 minutes. His friend Sam ran the same mile in 8 5/9 minutes. How many minutes faster did Lee run? (First answer will be the brainliest)

Answers

Answer:

1 2/9 minutes faster

Step-by-step explanation:

Take the larger number and subtract the smaller number

8 5/9 minutes - 7 1/3 minutes

Get a common denominator

8 5/9 - 7 1/3 *3/3

8 5/9 - 7 3/9

1 2/9 minutes faster

Jacqui likes to travel to the beach on weekends. She starts at her house, drives d miles, and then spends t hours walking the remaining w miles to get to the beach. Jacqui drives three times as long as she walks during the trip. The equation below represents Jacqui's average speed, a, in miles per hour, when traveling to the beach. a=d+w/3t+t What is the meaning of 3t + t3t+t in the equation above? -The total time that Jacqui spends traveling to the beach -The time that Jacqui spends driving to the beach -The total distance that Jacqui travels to the beach -Jacqui's maximum speed during her trip Jacqui's average speed during one trip to the beach was 3636 miles per hour. If Jacqui drove 70 miles and the entire trip to the beach took her 22 hours, how many miles did she walk to get to the beach?

Answers

Answer:

The answer is below

Step-by-step explanation:

1) Average speed is the ratio of the total distance travelled to the total time taken. Hence it is given by:

Average speed = total distance / total time

Total distance = d miles + w miles

Jacqui drives three times as long as she walks during the trip, hence:

time spent driving = 3t

Total time = 3t + t

Average speed = total distance / total time

a = (d + w) / (3t + t)

2) (3t + t) represents the total time that Jacqui spends traveling to the beach.

3) Given that a = 36 miles per hour, total time = 2 hours

a = total distance / total time

36 miles per hour = total distance / 2 hours

total distance = 72 miles

Total distance = distance walk + distance drove

72 = distance walk + 70

Distance walk = 2 miles

what additional information is needed to prove the triangles congruent by AAS

Answers

Answer:

pq=su

Step-by-step explanation:

its the only one that makes sense

Which of the following shows 3x + 15 + 6x – 7 + y in simplest terms?

Answers

it should be

9x+1y+8

      ^it could be just y instead of 1y

Answer:

the answer is = 9x+y+8

Step-by-step explanation:

...

The sum of a number is
4 less then 2 times a
number is 35 what is the number?

Answers

Answer:

21.5

Step-by-step explanation:35 divided by 2 = 17.517.5 + 4 = 21.5Just do the inverse

find the points on the y-axis, each of which is at a distance of 13 units from the point (-5,7)​

Answers

Answer:

The answer is (0,19) or (0,-5).

By distance formula,

after squaring on both sides we and solving we get,

so, y=19 or -5

Step-by-step explanation:

you get the idea, but i don't think this is the answer yet?

complete the conversion:
5 grams / metres squared = _________ kilograms / hectares
(5g/m2=_________ kg/ha)

Answers

Answer:

5 grams/metres squared = 50 kg/hectares

Step-by-step explanation:

We need to convert 5 grams/metres squared to kilograms/hectares.

We know that,

1 kg = 1000 g

1 hectare = 10000 m²

So,

[tex]5\ \dfrac{g}{m^2}=5\times \dfrac{0.001}{\dfrac{1}{10000}}\\\\=50[/tex]

Hence, 5 grams/metres squared = 50 kg/hectares

I don’t understand this equation. m= -3 and b = 3

Answers

can you please put the equation so i can answer it?

thank you!

Can you please put the equation so that we could answer it

14cm and 31cm and 34cm equal

Answers

Answer:

if its addition then it will be 79cm

Keelie has a triangular-shaped card. The lengths of its sides are 3 cm, 4 cm, and 5 cm. Is the card a right triangle?

Answers

Answer:

Yes, the card is a right triangle.

Step-by-step explanation:

The card is a right triangle, specifically a 3-4-5 right triangle.

A 3-4-5 right triangle is any right triangle that has side lengths in the ratio of 3:4:5.

The 3-4-5 rule says that any triangle with a side length ratio of 3:4:5 is a right triangle.

So, the card is a right triangle.

help meee it's pythagorean theorem, just need answers plsssssss

Answers

Answer:

Hi, there your answer is C or D and the second page is C

Step-by-step explanation:

What is the value of n?

Answers

Answer:

n = 28 degree

Step-by-step explanation:

2n + 17 + 2n - 5 + 2n = 180 degree (sum of interior angles of a triangle)

6n +12 = 180

6n = 180 - 12

n = 168/6

n = 28 degree

6n+12=180
180-12=168
168\6=28

A backpack that normally sells for $40 is on sale for $38. Find the percent of increase or decrease. *20 POINTS* (PLS SHOW WORK)

Answers

Answer:mj,bhvb n

mnbnmb mbnmbnb

Step-by-step explanation:

The ratio of coloured paper the white paper is 3:8 if there are 48 white paper how many coloured paper are there

Answers

Answer:

18

Step-by-step explanation:

Calculation to determine how many coloured paper are there

Let 3x represent the number of coloured papers

Let 8x represent the number of white papers

Given that 8x=48

Hence,

x=48/8

x=6

Now let determine how many coloured paper are there

Coloured paper=3x

Coloured paper=3(6)

Coloured paper=18

Thereffore the number of coloured paper that are there is 18

An aquarium holds 11.81 cubic feet of water, and is 2.8 feet long and 1.7 feet wide. What is its depth? Round your answer to the nearest whole number.

Answers

Answer:

2ft

Step-by-step explanation:

Depth = volume / ( length x width)

11.81 / (2.8 x 1.7)

11.81 / 4.76

depth = 2.48

2 ft (to the nearest whole number)

18.
Which of the following are the coordinates of the vertex of y= x2 - 10x + 2?

A. (–5, 23)

B. (–10, 2)

C. (5, –23)

D. (2, –10)

Answers

B ( -10 , 2 ) hope this helps you!!

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

C. (5, –23)

»»————- ★ ————-««  

Here’s why:  

I have graphed the given equation on a program. The vertex can be described as the 'turning point' of the parabola. When graphed, the parabola shows a vertex at (5, -23).See the graph below.

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

se cumple que: A^2 + B = 486 y el M.C.D. de A y B es 9. ¿Cuál es el valor de B

Answers

Answer:

i dont know spanish

Step-by-step explanation:

bill changes £450 from his bank to $729 what exchange rate did he get?

Answers

Answer:

$1.62

Step-by-step explanation:

find the equation of a circle with a point at ( 10 , - 4 ) and a point at ( -2 , - 4 )​

Answers

Answer:

Solution given:

letA=(10,-4)

B=(-2,-4)

centre[C](h,k)=[tex]\frac{10-2}{2},\frac{-4-4}{2}=(+4,-4)[/tex]

radius=[tex]\sqrt{(4-10)²+(-4+4)²}=6[/tex]units

we have

Equation of a circle is;

(x-h)²+(y-k)²=r²

(x-4)²+(y+4)²=36

or.

x²-8x+16+y²+8y+16=36

x²-8x+8y+y²=36-32

x²-8x+8y+y²=4

The equation is (x-4)²+(y+4)²=36 or x²-8x+8y+y²=4.

Answer:

[tex] \rm\displaystyle (x - 4) ^{2} + {(y + 4)}^{2} = 36[/tex]

Step-by-step explanation:

the given points are the diameter points of circle because notice that in the both points y coordinate is the same therefore it's a horizontal diameter

since (10,-4),(-2,-4) are the diameter points of the circle the midpoint of the diameter will be the centre of the circle

remember midpoint formula,

[tex] \displaystyle M = \left( \frac{x _{1} + x_{2} }{2} , \frac{ y_{2} + y_{2}}{2} \right)[/tex]

let,

[tex] \displaystyle x _{1} = 10[/tex][tex] \displaystyle x _{2} = - 2[/tex][tex] \displaystyle y _{1} = - 4[/tex][tex] \displaystyle y _{2} = -4[/tex]

thus substitute:

[tex] \rm\displaystyle M = \left( \frac{10 + ( - 2)}{2} , \frac{ - 4 + ( - 4)}{2} \right)[/tex]

simplify addition:

[tex] \rm\displaystyle M = \left( \frac{8}{2} , \frac{ - 8}{2} \right)[/tex]

simplify division:

[tex] \rm\displaystyle M = \left( 4, - 4 \right)[/tex]

so the centre of the circle is (4,-4)

since it's a horizontal diameter the the redious will be the difference between the x coordinate of the Midpoint and the any x coordinate of the given two points but I'll use (-2,-4) therefore the redious is

[tex] \displaystyle r = 4 - ( - 2)[/tex]

simplify which yields:

[tex] \displaystyle\boxed{ r =6}[/tex]

recall the equation of circle

[tex] \displaystyle (x - h) ^{2} + {(y - k)}^{2} = {r}^{2} [/tex]

we acquire that,

h=4k=-4r=6

therefore substitute:

[tex] \rm\displaystyle (x - 4) ^{2} + {(y - ( - 4))}^{2} = {6}^{2} [/tex]

simplify:

[tex] \rm\displaystyle (x - 4) ^{2} + {(y + 4)}^{2} = 36[/tex]

and we are done!

also refer the attachment

(the graph is web resource of desmos)

Find the missing side of the triangle. Round your answers to the nearest tenth if necessary.

6.5 cm

17.4 cm

14.6 cm

9.4 cm

Answers

Answer:

6.5cm)

Step-by-step explanation:

13.1 cm x 13.1 cm = 171.61

11.4 cm 11.4 cm = 129.96

171.61 - 129.96 = 41.65

Find the square root of 41.65.

41.65 = 6.4536811201050 x 6.4536811201050

Round 6.4536811201050.

x = 6.5cm

Note:

Pls let me know if my answer is incorrect, for the other users that will see this response. Thx!

-kiniwih426

Select the correct answer.
A school bus has 25 seats, with 5 rows of 5 seats. 15 students from the first grade and 5 students from the second grade travel in the bus. How
many ways can the students be seated if all of the second-grade students occupy the first row?
OA 25P20
OB. SPs * 20P15
OC5C525C14
OD. SPs *15P15
OE PSX25C5

Answers

Answer:

B. [tex]^{5} P_{5}[/tex] × [tex]^{20} P_{15}[/tex]

Step-by-step explanation:

No. of students from first grade = 15

No. of students from second grade = 5

There are 5 rows of seats

Each row contains 5 seats

Total seats = 25

No. of ways for second-grade students to occupy the first row (i.e first 5 seats) = [tex]^{5} P_{5}[/tex]

Remaining seats = 20

So, now we are left with 15 first grade students  

So, No. of ways for first-grade students occupy remaining seats = [tex]^{20} P_{15}[/tex]

Using the counting rule principle,

No. of ways for the students can be seated if all of the second-grade students occupy the first row = [tex]^{5} P_{5}[/tex] × [tex]^{20} P_{15}[/tex]

So, Option B is the correct answer

Hence, no. of ways for the students can be seated if all of the second-grade students occupy the first row is ×

There are ¹⁵P₁₅ x ¹⁰P₅ possible way to seat, if all of the second-grade students occupy the first row.

What is permutation?

A permutation in math is the number of ways in which a set of data or objects can be ordered or arranged, where the order matters.

Given that, a school bus has 25 seats, with 5 rows of 5 seats. 15 students from the first grade and 5 students from the second-grade travel in the bus.

Since you have to place all first-grade students in the first three rows,

Therefore,

For the 15 first-graders of the first three rows (15 seats), we have ¹⁵P₁₅ since all 15 places have to be occupied by all 15 first-graders.

Then we have 10 remaining seats left to be assigned to the 5 second-graders = ¹⁰P₅

We then multiply the permutation numbers of those two arrangements to get the total ways:

¹⁵P₁₅ x ¹⁰P₅

Hence there are ¹⁵P₁₅ x ¹⁰P₅ possible way to seat, if all of the second-grade students occupy the first row.

Learn more about permutation click;

https://brainly.com/question/30649574

#SPJ7

PLEASE SOMEONE HELP ME I WILL GIVE BRAINLIEST

Answers

20 a: x = 5

20 b: x = 12

17 c: 30

What is a two-column proof

Answers

Answer:

A two-column proof uses a table to present a logical argument and assigns each column to do one job, and then the two columns work in lock-step to take a reader from premise to conclusion.

Step-by-step explanation:

Basically in simple terms, one side is the statements, and the otherside is the reasoning

helpppppppppppppppppppppppppppppppppp!!!!!!!!!

Answers

The answer could be expressed as 2^8 because the product is 16!

PLEASE HELP! Math (recursive sequences)

Answers

Answer:

a₄ = 123

Step-by-step explanation:

a₁ = 1

a₂ = (1)² + 2

a₂ = 3

a₃ = (3)² + 2

a₃ = 11

a₄ = (11)² + 2

a₄ = 123

The function C(x) = 400x - 0.2x ^ 2 represents the total costs for a company to produce a product, where in dollars and x is the number of units sold. Which statement is true? is the total cost

Answers

Answer: it b y’all

Step-by-step explanation: I took the test

Answer:

B

Step-by-step explanation:

To determine the maxima and minima of the polynomial, differentiate the given based on x and equate to 0.                                   C(x) = 400x - 0.2x²                               dC(x) / dt = 400 - 0.4 x = 0 The value of x is 1000. This is the value of the maxima. As the value of C(x) continously becomes lesser as the value of x is set higher, the minima is not identified. Substitute x to the original equation,                               C(x) = (400)(1000) - 0.2(1000²) = $ 200,000Thus, the answer is letter B. 

Please help me on this question

Answers

Answer:

A = 6π

Step-by-step explanation:

Expression for the area of a sector is given by,

A = [tex]\frac{\theta}{360}(\pi r^{2} )[/tex]

For θ = 240° and r = 3,

By substituting these values in the given expression,

A = [tex]\frac{240}{360}(\pi) (3)^{2}[/tex]

   = [tex]\frac{240\times 9}{360}\pi[/tex]

   = 6π

Therefore, A = 6π is the answer.

I will give 25 points for it if solve this problem ​

Answers

Answer:

5/27

30/81 = 10/17

it's just ratios but if you need then vice versa, swap numerator and denominator

Answer:

the person on top is correct :)

Step-by-step explanation:

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