The time,
T
(seconds), it takes for a pot of water to boil is proportional to the amount,
A
(litres), of water.
It takes 180 seconds to boil 2.8 litres of water.
Work out how long it takes (to the nearest second) to boil 2.2 litres.

Answers

Answer 1

Answer:

The time it takes to boil 2.2 litres of water is approximately 141 seconds

Step-by-step explanation:

The given parameters are;

The relationship of the variables, T and A is a proportional, therefore, we have;

T ∝ A, or T/A = k = Constant of proportionality

The time it takes to boil 2.8 liters of water = 180 seconds

∴ When A = 2.8 litres, T = 180 seconds, from which we have;

k = T/A = 180 s/(2.8 L) = 450/7 s/L

k = 450/7 s/L

When A = 2.2 litres, we have;

T/A = k

∴ T = k × A

Plugging in the value for both 'k', and 'A' when A = 2.2 litres, gives;

T = k × A = 450/7 s/L × 2.2 L = 990/7 s = 141.[tex]\overline{428571}[/tex] s

The time it takes to boil 2.2 litres of water, given a direct proportionality relation is, T = 141.[tex]\overline{428571}[/tex] seconds ≈ 141 seconds given to the nearest second.


Related Questions

PLEASE HELP YOULL GET 20 POINTS
Suppose a movie rental company charges $9.99 per month plus $1.25 for every movie rented.
A. Write a function rule that represents the relationship between the number of movies rented in a month and
the rental charge for that month.
b.
Write an equation that you could solve to find how many movies you rented if the total rental charge for one
month was $23.74.
C.
Solve this equation using a table.

Answers

Answer:

9.99+ 1.25x. X represents the every movies rented. I think my answer matches b, I am not sure.

Step-by-step explanation:

what they said^^^:))

WILL GIVE BRAILIEST PLZZZZ HELP MEEEEEE
A teacher surveyed her class after they had taken a vocabulary test. Eighteen of the students claimed they had studied at least one hour for the test. The remaining twelve students admitted that they had not studied for the test at all. The test results (expressed as a percent) for the two groups are shown below.

Studied: 88, 100, 94, 79, 92, 100, 95, 83, 89, 99, 100, 91, 89, 95, 100, 93, 96, 84

Did Not Study: 82, 72, 45, 91, 58, 83, 65, 87, 90, 77, 73, 89

Which of the following statements are true?

There is no mode of the group that studied.
In general, those students that studied scored much higher than those students that did not study.
The mean of the group that studied is over 15 percentage points higher than the mean of the group that did not study.
The median of the group that studied is over 95.
The median of the group that did not study is less than 80.

Answers

Answer:

In general, those students that studied scored much higher than those students that did not study.

Step-by-step explanation:

Hope this helps.

The median of the group that did not study is less than 80.

also

In general, those students that studied scored much higher than those students that did not study.

please it’s due in 30 minutes i will give brainly

Answers

Answer:

Area = 113.01 m²

Step-by-step explanation:

From the picture attached,

Area of the quadrilateral ABCD = Area of triangle ABC+ Area of triangle ACD

Construction to be done → Draw a perpendicular from a point A to the opposite side CD

Area of Δ ABC = [tex]\frac{1}{2}(AB)(BC)[/tex]

                         = [tex]\frac{1}{2}(12)(10)[/tex]

                         = 60 m²

Area of triangle ACD = [tex]\frac{1}{2}(AE)(CD)[/tex]

From ΔAEC,

sin(29°) = [tex]\frac{AE}{AC}[/tex]

AC = [tex]\sqrt{(12)^2+(10)^2}[/tex] [By Pythagoras theorem]

AC = [tex]\sqrt{244}[/tex]

AC = 15.62 m

Therefore, AE = 15.62sin(29)

                        = 7.57 m

Area of ΔACD = [tex]\frac{1}{2}(7.57)(14)[/tex]

                        = 53.01 m²                                

Area of ABCD = 60 + 53.01

                        = 113.01 m²            

Luis and Arnold did their own car wash during the weekends this past Summer. They made a total of $1,200 together. They decided they were going to invest their money. So they invested in stocks for Tesla. The interest they are making is at 12%. How much money would they earn after 7 years?

Answers

Step-by-step explanation:

Amount they will earn=Principal+Interest

Interest=$1200×0.12×7=$1008

Amount=$(1200+1008)=$2208

what does y = 3x + 5 look like on a graph?

Answers

It’s gonna cross 5 on the y axis. And it’s increasing by 3 cause that’s the slope. :) hope this helped

The two-way frequency table below shows data on whether Karissa had an ice cream cone and whether the day was during the week or on the weekend. Complete the following two-way table of column relative frequencies. (If necessary, round your answers to the nearest hundredth.) Weekday Weekend Had an ice cream cone 232323 454545 Did not have an ice cream cone 155155155 666 Weekday Weekend Had an ice cream cone Did not have an ice cream cone Column total 1.001.001, point, 00 1.001.001, point, 00

Answers

Answer:

Answers below

Step-by-step explanation:

0.13           0.88

0.87          0.12

Hope this helps!

The two-way column relative frequency table is,

                                            Weekday                        Weekend  

Had an ice cream cone                0.29                              0.88                

Did not have an ice -                    0.87                               0.11            

cream cone  

          Total                                   1.00                                 1.00                        

What is two-way frequency table?

"It is a way to display frequencies for two categorical variables."

"One category is represented by rows and a second category is represented by columns."

Now, We need to find the column relative frequency table.

First we find the total of each column.

                                        Weekday                        Weekend  

Had an ice cream cone             23                                45            

Did not have an ice -                 155                                 6            

cream cone  

          Total                               178                                51                

Now, divide each element of column by its respective total.

                                              Weekday                        Weekend  

Had an ice cream cone               23/178                               45/51                

Did not have an ice -                    155/178                                6/51                

cream cone  

          Total                                  178/178                               51/51

Therefore, the two-way column relative frequency table would be,

                                          Weekday                        Weekend  

Had an ice cream cone                0.29                              0.88                

Did not have an ice -                    0.87                               0.11            

cream cone  

          Total                                1.00                                 1.00            

Learn more about relative frequency table here:            

brainly.com/question/12576014

#SPJ3

         

Find the median for 5, 3, 6, 5, 2, 9

Answers

Answer:

5

Step-by-step explanation:

5 is the median

What are integers?
Please give your best explanation and a simple example (worth 20 points)

Answers

ExplanationWhat is Integer?

Integer is a subset of Real Number. It can be broken into these following:

Positive IntegerZeroNegative Integer

Integer can be any whole numbers. Keep in mind that Integers cannot be fractions, decimal, approximate value, etc. Integers can only be something like 1,2,3,-1,-2,0.

Integers are like Natural or Counting Numbers except they have 0 and negative numbers.

Positive Integer

Positive Integers are basically a natural or counting number. It starts from 1 to any positive countable infinity. Here is the example of positive integer: 1,2,3,4,5,6,7,...

Zero

Zero is just a number 0. It is between the negative and positive. 0 is neither positive or negative but it is categorized as Zero.

Negative Integers

Negative Integers are opposite of Positive Integers. The opposite of plus is minus and the opposite of minus is plus. Negative Integers are less than both 0 and Positive Integers. Here is the example: -1,-2,-3,-4,-5,...

Integers are whole numbers with a positive or negative counterparts.

If that doesn't make sense let me make some examples

-4, 100, 9300 would be integers. Using my definition they all have negative or positive counterparts.

-2.3, 7.8888(etc.) 2/3 would not be integers. Even though -2.3 and 7.8888(etc.) have negative/ positive counterparts they are not whole numbers.

Hope that helped!

Helppppppppp

In a recent year, there were 15,900,000 high school
students in the United States. Suppose 250,000 of a
random sample of 500,000 high school students
during that year played on a sports team. Estimate
the total number of U.S. High school students that
played on a sports team that year.

Answers

Answer:

The total number of U.S. high school students that played on a sports team that year can be estimated to be 7,950,000.

Step-by-step explanation:

From the random sample, we can expect that [tex]\frac{250000}{500000}=\frac{1}{2}[/tex] of all students played on a sports team that year. So in the bigger sample of 15900000 high school students, we can expect [tex]15900000 \cdot \frac{1}{2} = 7950000[/tex] students to have played on a sports team that year.

The sales tax in one state is 3%. Write a function rule for finding the total cost of an item with selling price x. Then find the total cost of a CD player with a selling price of $150.


f(x) = x – 3; $148.97

f(x) = 3 + x; $151.03

f(x) = 0.03x; $4.50

f(x) = 1.03x; $154.50

Answers

Answer: brainly.... D.    f(x) = 1.03x; $154.50

ok so the cd player cost

$150 the sales taxs is 7% so you do

7% of 150= $10.50

so you add

$150+$10.50= $160.50

so the total cost is $160.50

hope this help

plz mark me brainliest i really need it. :)

Step-by-step explanation: 2 answers from Brainly

1:  y=3/100x

y= 3/100 (150)

y=4.5

150+4.5=154.50 total cost of CD player.

Therefore that is the answer. Please mark as brainliest and give a thanks.

2:  F(x)= 1.03x; $154.50

Pls help me out ty..

Answers

Answer:

3.14159265359

Step-by-step explanation:

Hope this helps :)

Answer:

3.14

Step-by-step explanation:

Technically, pi is a an irrational number, meaning that its decimal form neither ends or repeats. But we always shorten it to 3.14.

A used automobile dealership recently reduced the price of a used compact car by 10​%. If the price of the car before discount was ​$18,100​, find the discount and the new price. The discount in price is ​$nothing. ​Thus, the new price is ​$nothing.

Answers

Answer:

Step-by-step explanation:

Your answer

New price = 16290

Discount = 1810

Mark it as Brainlist. Follow me for more answer.

HELP AND WILL GIVE BRAINLIEST!!! Solve for x

Answers

Answer:

22

Step-by-step explanation:

yevdywjebecgeh3bebebv3hruejjd÷×+jfur

Phil is riding his bike. He rides 15 miles in 3 hours, 30 miles in 6 hours, and
45 miles in 9 hours. What is Phil's constant rate (k) in SIMPLEST FORM. *
4 points
1/5 miles per hour
3/15 miles per hour
5/1 miles per hour
5 miles per hour

Answers

Answer:

5 miles per hour

Step-by-step explanation:

help me find value of y please !!:]

Answers

Answer     y=40

Step-by-step explanation:

its split in half so if one side is 40 that means the other side is to

Can somebody help???

Answers

6.52 and 6.67...............................

Answer:

first one I am thinking 6.52 and the second one I am thinking 6.67

Step-by-step explanation:

Hope this Helps!!!

HELP ME ILL MARK BRAINLIEST
What is it? also please explain the strategy and answer the question and also write an equation to represent the situation be sure to define your variables

Answers

Answer:

Step-by-step explanation:1/4 times 24 that gives you 6 and then 5 times 24 is $120

What is the missing length?
y
6 in
area = 18 in?
y
inches

Answers

Answer:

3in

Step-by-step explanation:

18 divded by 6 in is 3 in

The equation of line g is y = 6/7x +3/5. Line h is perpendicular to line g. what is the slope of line h?

Answers

Answer:

The slope of line H is -7/6

Answer:

Step-by-step explanation:

To be perpendicular m1(m2)=-1

The original line has a slope of 6/7 so the perpendicular line will have slope of

6m/7=-1

6m=-7

m=-7/6

What is the missing length? 16.8 yd u Area = 309.12 yd2 ) u = yards​

Answers

Answer:18.4

Step-by-step explanation:if im correct like please

Which figure shows a reflection of pre-image ABC over the y-axis?

please help :) i dont have a lot of points but will put you as brainliest

Answers

Answer:

A

Step-by-step explanation:

Sorry you got it wrong but i was confused since y axis is up and down but they ment straight across

how long will the rock take to hit the ground ​

Answers

1.3 seconds is the answer

HELP ME THIS I DUE 30 minutes

Answers

Step-by-step explanation:

3. = 1/2

4. = 1

5. = 0

6 . = 6/9 = 2/3

7. = 7/7 = 1

8. = 10/16 = 5/8

12. = 3/5

13.= 4/20.= 1/5

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you ☺️.

Solve:
-4 + x = 6
A)-24
B)-10
C)-2
D)10

Answers

Answer:

x = 10 so D

Step-by-step explanation:

-4 + x = 6

add 4 both sides to get the x by itself

so 4 + 6 = 10

then the final answer is  x = 10

Answer:

You have a negative 4 being added to the variable. To solve you need to use the opposite operation (what is the opposite of addition?)

For example:

7 = -3 + h

Subtraction -3 from each side.

7 -(-3) = -3- (-3) + h

10 = h

Step-by-step explanation:

What percent is equivalent to 0.25?

Answers

Answer:

25%

Step-by-step explanation:

the percent equivalent to 0.25 is 25%


Question in pic help plz


Answers

The answer would be C!!!!

no i wont help u (⌐■_■)

Ten out of 40 students made an A on their English test. Mr. Harris wants the same proportion of students to gen an A on his history test. If Mr. Harris has 60 students, what proportion will help determine how many students he wants to get an A on the test?

Answers

Answer:

15/60

Step-by-step explanation:

10/40 is equivalent to 5/20, and you can multiply the top and bottom of this fraction by 3 to get 15/60

8 Line segment AB, measuring 130 feet,
represents the slant height of the square
pyramid. Line segment AC represents
the altitude of the pyramid.
130 ft
B
240 ft
What is the length of altitude AC?
(8.1A, 8.16, 8.10, 8.1, 8.1F)
F 120 ft
G 50 ft
H 75 ft
J 60 ft
Use an unnercnon
.

Answers

The answers it going to be 60 that’s what my friend thinks

Answer:

the answer isnt 60 because i got that question wrong its 50

Step-by-step explanation:

A hexagon is shown below. Find the value of c and y.

What is the value of X:

What is the value of Y:

Answers

Answer:

oooooooooooofeqdcefef

Step-by-step explanation:

frwsrehbsrbtrdssswfegrhtjymkj,khgdzer

y’all help 3 giving brainlest if you help and give steps (send picture of your work if you can)

Answers

Answer 200 to 520 and 300 to 580.

Step-by-step explanation:

Each one increases by 60.

Answer:

They are adding 240 each time so; I'm a little unsure because the top is 160 and that's only 60 but...

Step-by-step explanation:

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