Ben drinks tea at an incredible rate. He drinks 7/2 liters of tea every ⅔ of an hour. How many liters of tea did he drink in one hour. Show your work.

Answers

Answer 1

Answer:

[tex]\frac{21}{4}[/tex] or 5.25 litres

Step-by-step explanation:

Hi there,

Since 1 hour is equivalent to [tex]\frac{3}{3}[/tex] and we have the amount for [tex]\frac{2}{3}[/tex] of an hour, we can find the amount Ben drinks for [tex]\frac{1}{3}[/tex] hour and multiply by 3.

To find the amount Ben drinks in [tex]\frac{1}{3}[/tex] hour, we should divide the amount at [tex]\frac{2}{3}[/tex] hour by 2.

[tex]\frac{7}{2}[/tex] ÷ 2 = [tex]\frac{7}{4}[/tex]

Now that we know the amount at [tex]\frac{1}{3}[/tex] hour, we can multiply by 3 to determine the amount of tea he drank in one hour.

[tex]\frac{7}{4}[/tex] × 3 = [tex]\frac{21}{4}[/tex]

Therefore, Ben drank [tex]\frac{21}{4}[/tex] or 5.25 litres of tea in one hour.

Hope this answer helps. Feel free to ask questions.

Cheers.


Related Questions

What is the factorization of the polynomial below? 2x2 + 24x + 72​

Answers

2(x+6) squared

Hope I was right!
2x^2+24x+72

What two factors of 2 and 72=24
72x2=144

Two factors of 144 that = 24 are 12 and 12

2x^2+12x+12x+72

2x(x+6)12(x+6)

(2x+12)(x+6)

Above answer is correct

HELP PLEASE FAST i'm not understanding how to do this (i'll give brainiest to whoever has best answer)

The bar below is 7 inches long and divided into 2 equal parts.

What is the length of one of those parts?


Fill in the blanks in the equation using fractions or mixed numbers

to show the length of one of the parts.

X 7 inches = inches

Answers

Answer:

The length of each part is 3.5 inches.

Step-by-step explanation:

The question states that the bar is 7 inches long, with the two parts being equal lengths.

What you would do to find the length of each bar is doable with simple division. Take 7, and divide it by 2. 2 goes into seven 3 times, which would leave 1. Add a decimal and a zero, bring the zero down, and you get 10. 2 goes into 10 five times, giving you the 5 in 3.5.

1/2×7=3.5 inches is the equation which gives the length of the one of the part of bar.

What is Area of Rectangle?

The area of Rectangle is length times of width.

Given that the bar is 7 inches long and divided into 2 equal parts.

We need to find the length of one of those parts.

We take the whole bar as a whole number.

The two parts of the bar are considered as parts of the bar.

The seven inches is divided equally.

The length of the bar is seven inches.

We need to divide seven by two to get the length of one part.

When seven is divided by the two we get three point five inches which is the length of the one of the part of the bar.

1/2×7=3.5 inches

The equation which gives the length of the one of the part of bar is 1/2×7=3.5 inches.

Hence, 1/2×7=3.5 inches is the equation which gives the length of the one of the part of bar.

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What is the solution to the system of equations below? 2x-y=10 and y=-1/2x+5​

Answers

x= 10/3 y=20/3

You can substitute the second equation into the first one because the second one tells you what y is so you plug in to the first equation.

Ahhh help me pleaseeee its overdue and needs to be turned in today!!!

Answers

Step-by-step explanation:

4.25× 1.59 = 6.7575 = $7

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you.

$7 will be the answer hope this helped

Consider the reduction of the complex figure with a scale factor of 1
7
. What is the area of the reduced figure?

A large complex figure with 5 sides has a left side length of 28 millimeters and top side length of 42 millimeters. The area is 1225 millimeters squared. A smaller complex figure with 5 sides has a left side length of 4 millimeters and top side length of 6 millimeters.
Please explain, please

Answers

It’s A here’s a picture to make you happy so yeah

If line segment AB is 400%, what is the length of a line segment that is 100%?
_____ inch(es)
(Type a whole number or a decimal) ​

Answers

4 divided by 4, equals 1 so that means that 100% out of 400% of the line is equal to 1 inch

If line segment AB is 400%, 1 in is the length of a line segment that is 100%.

What is percentage?

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

given that,

from the given diagram, we get,

the line AB = 4 in.

and,  line segment AB is 400%,

now, we have to find the length of a line segment that is 100%.

so, we get,

4 in = 400%

so, 100% = 4/ 400 * 100

               = 1 in.

Hence, If line segment AB is 400%, 1 in is the length of a line segment that is 100%.

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Heather buys 2 loaves of bread at $1.45each, 3 cans of soup at $0.50 each, and a pound of butter for $2.50. She gives the check-out clerk a bill and gets $3.10 in change. What bill did she give the clerk?

Answers

Step 1:
Work out how much 2 loaves of bread was
1.45 x 2 = 2.9

Step 2:
Work out how much 3 cans of soup cost
0.5 x 3 = 1.5

Step 3:
Add up all the prices
1.5 + 2.9 + 2.5 = 6.90

Step 4:
Add the total of the items with the change
6.90 + 3.10 = 10.00

Step 5:
Answer
Heather gave the clerk a $10 bill

What is the answer for 4y-46+y=4-5y+10 ?

Answers

Answer:

y = 6

Step-by-step explanation:

4y - 46 + y = 4 - 5y + 10

simplify

5y - 46 = 14 - 5y

add 5 y to each side

10y - 46 = 14

add 46 to each side

10y = 60

divide both sides by 10

y = 6

I will give brainliest to whoever helps me with this question. Also, if you could please explain to me how you solved it I would appreciate it!

Answers

Answer:

92

Step-by-step explanation:

Just as 32, 20, and 40, boom! easy as pie.

HELP PLEASE!

7.2 < x + 4.2.​

Answers

Answer:X=4.2

Step-by-step explanation:

Answer:

x>3

Step-by-step explanation:

1) Adam predicted his car payment to be $250 each month. His actual car payment is $275 each month. Salma predicted her car payment to be $200 each month. Her actual car payment was $225 each month. b) By what percent was Salma’s prediction off?

Answers

Answer:12.5

Step-by-step explanation:

25 is 12.5 percent of 225 225 minus 200 is 25

Answer:i think the answer should be 12.5%Step-by-step explanation:And the explenation bruv 25 is 12.5 percent of 225 225 minus 200 is 25

PLS PLS PLS HELP!!!!!!!!!!!!!!!!!2

Answers

Answer:

B

Step-by-step explanation:

because.

HELP WILL GRIVE BRAIN 100 POINTS PLEASE ANSWER ALL 5

Answers

Answer:

1. The sum of 4 and x is 7, and to isolate the variable, you move the 4 to the other side and the equation will change into x=7-4, giving us x = 3

2. To solve this inequality, you must isolate the variable x by moving -9 to the other side. To do this, you have to divide 27 by -9, and this causes the direction of the inequality sign to change. After you divide, the inequality changes to this: x<-3

3. since there are no negative numbers involved in this inequality, you divide 3 by 1/4 (or multiply it by 4) to isolate x. this gives us x <= -12

4. To solve this algebraic equation, you must isolate the variable 3x. To do this, you must move -9 to the other side of the equation by adding 9 to the 6. this gives us 3x=15 and x = 5

5. To put x by itself, you subtract 1 by 4, giving you x<-3

I am not sure sorry,Why? Did you search up how to take a screen shot lol

50 please help on these questions!

Answers

Answer:

pic1=56-28x

pic2=3cd+12c

pic3=s−t

pic4= the last answer

pic5= the third answer

Step-by-step explanation:

i did the math so just trust me

PLZZZZ HELP
simplify (5 + 7) 2

Answers

Answer:

144

Step-by-step explanation:

Sorry , Thought it's multiplied not powerd

12^2=144

The height of a vase is 6.2 feet when rounded to the nearest tenth of a foot. What is the shortest possible height of the vase? Give your answer to 3 decimal places. Plzzzzzzzzzz help me!

Answers

Answer:

6.145

Step-by-step explanation:

the 5 converts the 4 to a 5 and the new 5 converts the 1 to a 2 giving you 6.2

Answer: do 6.2 rounded tenth by foot but look it up  for the answer

Step-by-step explanation:

that all i can say because  i don't get the question either ok sorry

PLEASE HURRY!!!
Shaquille, Lyle, and Amanda collect stamps. Shaquille has one-half the number of stamps that Lyle has. Amanda has two-thirds as many stamps as Lyle. Together they have 364 stamps. How many stamps does Amanda own?

Answers

amanda owns 112 stamps

Answer:

Amanda has 112 stamps

proof:

Lyle has 168 stamps

Shaq has 84 stamps

Step-by-step explanation:

S = number of stamps Shaquille has

L = number Lyle has

A = number Amanda has

S = 1/2L

A = 2/3L

S + L + A = 364

substituting for S and A

1/2L + L + 2/3L = 364

reduce

2 1/6L = 364

divide both sides by 2 1/6

L = 168

S = 1/2(168) = 84

A = 2/3(168) = 112

Please help!
The illustration below shows the graph of y as a function of x.
Complete the following sentences based on the graph of the function.
- As x increases, y _______ (increases/decreases).
- The rate of change for y as a function of x is not __________ (constant/constant), therefore the function is ________ (linear/nonlinear).
- For all values of x, the function value y ___ (≤/≥/=) 0.
- The y-intercept of the graph is the function value y = ____.
- When x = 1, the function value y = ___.

Answers

Answer: As "x" increases "y" *decreases*

y as a function of x is not *constant*

Therefore the function is *nonlinear*

For all values of x, the function value y *≥* 0.

The y intercept of the graph is *8*

x=1 function value of y is *5*

The given function is an exponential function and its qualities are explained below.

What is a logarithmic function?

The opposite of an exponential function is a logarithmic function. A log function and an exponential function both use the same base. An exponent is a logarithm. f(x) = bx is how the exponential function is expressed. The formula for the logarithmic function is f(x) = log base b of x.

As we can observe in the graph.

The illustration below shows the graph of y as a function of x.

Complete the following sentences based on the graph of the function.

- As x increases, y decreases.

- The rate of change for y as a function of x is not constant, therefore the function is nonlinear.

- For all values of x, the function value y > 0.

- The y-intercept of the graph is the function value y = 8.

- When x = 1, the function value y = 5.

Learn more about logarithmic functions here:

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Can anyone please help me with this? You need to find the equation to solve for x, the value of x, and the value of each angle measure for all 5 questions. I will give brainliest

Answers

Answer:

[tex]1. 3x+21 = 6x-60\\or, 6x-3x = 21+60 [Being~corresponding~angles]\\or, 3x = 81\\or, x = 27.\\Equations: 3x+21=6x-60\\Value ~of ~x = 27\\Angle ~measure = (3x+21), (6x-60) = 3(27)+21,6(27)-60 = 102,102\\[/tex]

[tex]2. 12x - 18 = 8x+10 [Being~vertically~opposite~angles]\\or, 12x - 8x = 18+10\\or, 4x = 28\\or, x = 7\\Equations: 12x-18 = 8x+10\\Value~ of~ x: 7\\Angle ~measure: (12x-18),(8x+10) = 66,66\\[/tex]

[tex]3. Have~a~look~at~the~figure.\\Here, y = 3x+9 [Being~ vertically ~opposite ~angles]\\Also, y+5x+3 = 180^{o} [ Being~cointerior~angles]\\or, 3x^{o}+9^{o}+5x^{o}+3^{o}=180^{o}\\or, 8x^{o}+12^{o}=180^{0}\\or, 8x^{o} = 168^{o}\\or, x = 21^{o}\\So, 3x+9 = 3(21)+0 = 72^{o} ~and ~5x+3 = 5(21)+3 = 108^{o}\\Equations: y = 3x +9, y+5x+3=180^{o}\\Value ~of~ x: 21^{o}\\Angle ~measure: 72^{o},108^{o}[/tex]

[tex]4.~~~~ (3x+10)^{o}+(3x-28)^{o} = 180^{o} [Being~cointerior~angles]\\or, ~~~6x -18^{o} = 180^{o}\\or, 6x=198^{o}\\or, x = 33^{o}\\So, 3x+10 = 3(33)+10 = 109^{o}~and~3x-28 = 3(33)-28 = 71^{o}\\Equations: 3x+10+3x-28 = 180^o\\Value~ of~ x: 33^o\\Angle~measure: 109^o,71^o\\[/tex]

[tex]5. Solution,\\12x+15 = 15x [Being ~alternate~angles]\\or, 15x-12x = 15\\or, 3x=15\\or, x = 5^{o}\\So, 12x+15 = 12(5)+15 = 75^o = 15x\\Equations: 12x+15=15x\\Value~of~x: 5^o\\Angle ~measure: 75^o,75^o[/tex]

Describe the intersection of each plane and solid.

Answers

Answer:

triangle=3

circle=1

rectangle=2

Step-by-step explanation:

The intersection of the plane and the solid has

1. Circular cross section.

2. Rectangular cross section.

3. Triangular cross section.

1. Since the base is circular and the plane through the solid is parallel to it, the base is also round.

As a result, the intersection of the plane and the solid has a Circular cross section.

2. Since the plane through the solid is parallel to it, the side is rectangle is also round.

As a result, the intersection of the plane and the solid has a Rectangular cross section.

3. The intersection of the plane and the solid has a Triangular cross section.

Learn more about Solid and plane here"

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hello there I need help! no rush! 938-(87+301 )

Answers

550 is the answer to the math problem

Which number is divisibly by both 3 and 4?
A.) 101,444
B.) 112,436
C.) 118, 764
D.) 118,422

Answers

The answer is c) 118,764

Answer:

Step-by-step explanation:

If evenly divisible by both 3 and four it must be divisible by 3X4=12

The only number evenly divisible by 12 in that list is 118764.

How many inches are in 200 meters?

Enter your answer in the box.

1 m ≈ 39.37 in.

Answers

Answer:

Step-by-step explanation:

1m = 39.37 inches

200 m = 200 x 39.37 = 7874

Answer: 7,874

Step-by-step explanation: I took the quiz (K12).

help asap last question will give brainlist

Answers

The answer is D, 2x + 10

Answer:

2x+10

Step-by-step explanation:

HELPP!!
Solve for n. What does n equal in this equation. n-3 = 8

Answers

Answer:

11. n=11.

Step-by-step explanation:

11 - 3 = 8

Hope this helps. Have a good day!

n-3 = 8
+ 3 +3

n = 8 + 3
n = 11

to be sure
n-3 = 8
11-3 = 8
✅✅

What was the initial price of a t-shirt if, after a 25% discount, it cost $12?
Please show how you answered it! I need to learn and get the answer too

Answers

Answer:

16

Step-by-step explanation:

IT MEANS 75% OF THE TOTAL PRICE IS $12 AS ITS 25% DISCOUNT.

THEREFORE, 12/75 X 100 = 48/3= 16

How many quarts are in 4 gallons

Answers

Answer:

16

Step-by-step explanation:

Please help the first two answers aren’t right.

Answers

It has to have an average of 10 feet per minute for 5 minutes, which means in five minutes the total of feet would have to be 50.
So you would add all these numbers up and you would get 38.
50 - 38 = 12 so the answer is 12ft

Help!!!!!!
Please and thank you

Answers

Answer:

1. A

2. B

3. A

Step-by-step explanation:

Hope this helps!

Please help me with this last problem

Answers

the answer is b actually

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