A leaky valve on the water meter overcharges Ahmed for one Liter of water for every 2 months. The overcharged amount w varies directly with time t . (a) Find the equation that models the variation . (b) Solve the equation to find the number of months it will take for Ahmed to be overcharged for 10 liters of water leaked. Show all your steps

Answers

Answer 1

Answer:

20 months

Step-by-step explanation:

A leaky valve on the water meter overcharges Ahmed for one Liter of water for every [tex]2[/tex] months. The overcharged amount [tex]w[/tex] varies directly with time [tex]t[/tex].

(a)

As the overcharged amount [tex]w[/tex] varies directly with time [tex]t[/tex],

[tex]w=kt[/tex]

Here, [tex]k[/tex] is a constant.

A leaky valve on the water meter overcharges Ahmed for one Liter of water for every [tex]2[/tex] months.

Put [tex]w=1\,,\,t=2[/tex]

[tex]1=2k\\k=\frac{1}{2}[/tex]

So,

[tex]w=\frac{t}{2}[/tex]

(b)

To find the number of months it will take for Ahmed to be overcharged for 10 liters of water leaked, put [tex]w=10[/tex] in [tex]w=\frac{t}{2}[/tex]

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

[tex]t=20[/tex] months


Related Questions

Need help with this;

Answers

Answer:

See below

Step-by-step explanation:

Deposit amount P = $4200Interest rate r = 3 1/2% = 3.5% = 0.035 PA compounded semiannuallyCompound n = 2 per year

Calculations as per following questions

a. I = $4200*(0.035/2) = $73.5b. A = $4200 + $73.5 = $4273.5c. I = $4273.5*(0.035/2) = $74.79d. A = $4273.5 + $74.79 = $4348.29e. I = $4348.29 - $4200 = $148.29f. I = $4200*0.035 = $147

what are two factors of 12 whose sum is 7

Answers

Answer:

Well it will be 7+5=12 and 6+6=12

Step-by-step explanation:

The two factors of 12 whose sum is 7 are 4, 3.

What is meaning of factors ?

Those numbers which can completely divide a number such that the remainder is zero are called factors of the number they divide.

The number given is

12

The factors of 12 are 1, 2, 3, 4, 6, 12.

The two factors of 12 whose sum is 7 are 4, 3

4+3 = 7

Therefore ,The two factors of 12 whose sum is 7 are 4, 3.

To know more about Factors

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FIND THE MEASURE OF THE MISSING ANGLE

Answers

Answer: the answer is 66

Step-by-step explanation: 180-90-24=66

Well the sum of all the angles of a triangle is 180˚ so 24+90=114˚

180˚-114˚=66˚.

Find the following angles from the above rectangle. ( answer only 5-12) please :)

Answers

The believe the answer is

10. FAE

here’s what i got

5.) 37°
6.) 53°
7.) 37°
8.) 53°
9.) 90°
10.) 37°
11.) 53°
12.) 37°

Andy buys shoes that are on sale for 25% off the regular price. If the sale price is $36.45, what was the regular price of the shoes to the nearest cent?​

Answers

She bought the shoe at a percent of 25

Which of the following is a Prime Number? 9, 5,4 ​

Answers

Answer:

5

Step-by-step explanation:

9 = 1,3,9

5 = 1,5

4 = 1,2,4

Answer: 5

Explanation: 5 has only two factors they are 1 and 5 this makes it a prime number

I would appreciate brainliest if this was helpful and correct! :)

Help me plz will give Brainly est

Answers

Answer:

$394.38

Step-by-step explanation:

the formula is I=PRT the trick here is converting the rate from 7% to a decimal. its 0.07. so you have I=(939)(.07)(6)=394.38

The volume of a 3 cm cube is
O 9 cu cm
O 12 cu cm
O 6 cu cm
O 27 cu cm

Answers

it would be b. 12 cu cm
It’s 12 cu cm it’s really east think of it in half

ill mark brainlist plss help

Answers

Answer:

5.86

Step-by-step explanation:

1 gram = 100 centigrams

The correct answer is : 5.86

3
Discuss TWO ways in which some cultural views that ex
a relationship negatively.
.4
Compare TWO ways in which destructive relationships ir
well-being as opposed to constructive relationships.
1.5
Recommend TWO ways in which women and children ca
protected from discrimination and violence.
1.6
Read the statement below and answer the question that
"Only 52 per cent of women married or in a un
make their own decisions about sexual relations​

Answers

Answer:

There are as many definitions of empire as there have been empires, but some pretty familiar elements appear in most of them. It starts with working on our “control issues”.

The two ways in which some cultural views may negatively affect a relationship are:

The notion that females should be domesticated and submissive has made them to be sometimes inferior in relationships.The view of male partners as a totalitarian leader (head) makes them to develop excessive ego and pride in relationships.

What is a relationship?

A relationship refers to a continuous and often committed interaction (association) that typically exist between two (2) or more people, which may either be platonic, romantic (intimate), negative, or positive.

In Sociology, there are four (4) main types of relationships and these include the following:

Family relationshipsRomantic (intimate) relationshipsFriendshipsAcquaintanceships

In conclusion, it is evident that some cultural views or perceptions may have a negative impact on a relationship.

Read more on relationships here: https://brainly.com/question/25862883

HELP ASAP
Write the equation of the line that passes through the points (1,-4) and (4, -5).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line

Answers

Answer:

[tex]y+4 = -\frac{1}{3} (x-1)[/tex]

Step-by-step explanation:

1) First, find the slope of the line. Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] to find the slope. Substitute the x and y values of the given points into the formula and solve:

[tex]m = \frac{(-5)-(-4)}{(4)-(1)} \\m = \frac{-5+4}{4-1} \\m = \frac{-1}{3}[/tex]

So, the slope is [tex]-\frac{1}{3}[/tex].

2) Use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to write the equation of the line in point-slope form. Substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] into the formula.

Since [tex]m[/tex] represents the slope, substitute [tex]-\frac{1}{3}[/tex]  in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point on the line, choose any one of the given points (it doesn't matter which one) and substitute the x and y values of it into the formula. (I chose (1,-4), as seen below). This gives the equation of the line in point-slope form.    

[tex]y-(-4) = -\frac{1}{3} (x-(1))\\y+4 = -\frac{1}{3} (x-1)[/tex]

Answer:

Step-by-step explanation:

Thanks for my points back

Can someone please help me with math.

Answers

Answer:

1 - B

2 - B

Step-by-step explanation:

Hey There!

The slope is the change in y over change in x

In the graph shown as y goes up 3 x goes down 4

so the slope is -3/4 or B

See graph below for number 2

I had plotted the two points (4,6) and (2,12) and the equation that passed through those points was y=-3x+18 so your answer is B

Can someone help me

Answers

the range is the difference between the largest number and the smallest, so 98-65=33

if the probaility that it will rain tomorrow is 1/5 what is the probaility that it will not rain tomorrow

Answers

Answer:

4/5 would be the answer....

Please help, will mark brainliest

Answers

Answer:

The picture is just a black screen. Please tell me the question in the comments and I will try to help!

Step-by-step explanation:

Logan is doing a handstand dive from a 12 meter platform. The equation that
models the path of her dive is given by h -4.9t2 + 12, where t is seconds.
At what height will she be after 1 second?

Answers

7.1 meters
First replace t with 1
-4.9(1)^2+12
(1)^2= 1
-4.9 times 1 is -4.9
12-4.9=7.1
Hence 7.1 meters

Hope this helps!

Sandy pays $120 for 4 violin lessons. How much does she pay for 8 violin lessons?

Answers

Answer:

$240

Step-by-step explanation:

120x2

Answer:

240

Step-by-step explanation:

120x2= 240

or

120+120=240


Colin predicted whether he got answers right or wrong in his 50 question exam.
He identified the 12 questions he thought he got wrong.
It turns out that Colin got 5 questions right that he thought he got wrong.
Colin also got a total score of 42 out of 50 in the test.
What is the percentage accuracy he had with predicting his scores

Answers

Answer:

92.86%

Step-by-step explanation:

Total questions, T = 50.

Colin thought 8 questions were right.

Colin got 5 questions right that he thought he got wrong.

Total score, s = 45.

So, actual number of questions which are wrong are 5.

Score according to him = 50 - 8 = 42.

Now, we know percentage accuracy is given by :

Therefore, percentage accuracy he had with predicting his scores is 92.86%.

Which of the following are the sines for the angles of this triangle? Select all that apply.

Answers

Answer:

Answer attached

Step-by-step explanation:

solve simultaneously
[tex] {2}^{x} + {3}^{y} = 9 \\ {2}^{x + 2} - {3}^{y + 1} = 8[/tex]

Answers

Answer:

I hope this helps you :)

Answer:

2x+3y=9

2x+2-3y+1=8

2x-3y=8

2x-3y+3y=8+3y

2x=8+3y

2x=8+3y

2      2

x=8+3y

    2

2(x) +3y=9

2* (8+3y)/2 +3y=9

(16+6y)/2)+3y=9

2*(16+6y)/2)+3y=9

16+6y+6y=18

6y+6y=18-16

12y=2

12y = 2

12      12

y=2

  12

y=0.16666666666667

2x+3 (0.16666666666667)=9

2x+0.5=9

2x=9-0.5

2x=8.5

2x = 8.5

2       2

x=8.5

    2

x=4.25

ava gathered data about the age of runners and the time it took them to complete a 5K race and half marathon. Her data is displayed in the given scatter plots

Answers

Based on the information provided by the table, it can be inferred that Running the half marathon took more than double the time than running the 5K. (option C)

How to read the graph?

The graphs shown relate the time and age of athletes who ran 5k and half marathon.

The first graph shows the relationship in 5k, in which all the athletes, regardless of their age, managed to complete the test between 20 and 30 minutes.

The second graph shows the relationship in the half marathon, in which the younger runners completed the test in less time (80 minutes) than the older athletes (140 minutes).

According to this information, it can be inferred that the athletes took more than twice the time used in the 5k race to complete the half marathon (option C)

Note: This question is incomplete because the graph and the options are missing. Here are the options and the graph.

Learn more about marathon in: https://brainly.com/question/14246476

40 to a ratio of 2:3

Answers

Answer: 16:24

Step-by-step explanation:

add the ratio so 2+3=5

Divide from 40 so 40/5=8

multiply by individual ratios

2*8:3*8= 16:24

9. The ratio of boys to girls in Mrs. Reeves's class is 4 to 5. There are 20 girls in the
class.
What is the total number of students in Mrs. Reeves's class?

Answers

Answer:

boys : girls

4 : 5

multiply by 4

16 : 20

total = 36

Answer:

80

Step-by-step explanation:

Joanne deposited $10,000 into an account that earns 5.5% compound interest, compounded annually. How much interest will Joanne earn after 10 years

Answers

Answer:

55.0%

Step-by-step explanation:

I used a calculator

Geometry question, help ya girl out

Answers

Answer:

A=36 a means area

Step-by-step explanation:

A=a+b/2

h=6+12/2

times 4=36

Answer:

=36cm^2

Step-by-step explanation:

6-12=6 (total cm of the bases for triangle B and C)

6/2= 3 (base of B and C trialngleis 3  )

Triangle formula: bh 1/2

(base)b= 3cm

height(h)=4

Formula: (3)(4) 1/2

=12 1/2

=6cm^2

^ area of 1 triangle

There are 2, so

6*2=12cm^2 (area of triangles )

Area of rectangle: L*W

4*6=24cm^2

Total area of trapezoid

=24cm^2+12cm^2

=36cm^2

Ms. Benson is making a jewelry box using 2 identical squares of wood and 4 identical rectangular pieces of wood, as shown below.



What is the surface area of the jewelry box in square inches (sq. in)?

Answers

Length of rectangles = 7 in.

Breadth of 4 rectangles = 3 x 4

                                          = 12 in.

Side of squares = 3 in.

Area of 4 rectangles = length x breadth

                                    = 7 x 12

                              = 84 sq. in.

Area of two squares = 2(side x side)

                                  = 2(3 x 3)

                                  = 18 sq. in.

Therefore, Surface area of the Jewellery box = 84 sq. in. + 18 sq. in.

                                                                              = 102 sq. in.

1. 4(2x + 3) = 36
Thanks please help with this

Answers

Answer: x=3

Step-by-step explanation: Hope this help :D

Answer:

x=3

Step-by-step explanation:

4(2x+3)=36

8x+12=36

8x=24

x=3

Major arc CBD measures 300 degrees. Which is the radian measure of its corresponding central angle? O 4 pie/3 O 5 pie/6 O 5 pie/3 O 11 pie/6

Answers

Answer:

[tex]\dfrac{5\pi}{3}[/tex]

Step-by-step explanation:

Given that,

Major arc CBD measures 300 degrees.

We need to find the radian measure of its corresponding central angle.

Radian measure is given by :

[tex]R=\dfrac{\pi}{180}\times d\\\\R=\dfrac{\pi}{180}\times 300\\\\R=\dfrac{5\pi}{3}[/tex]

So, the radian measure is [tex]\dfrac{5\pi}{3}[/tex].

2) Find the median.
4,9, 1, 4, 6, 2, 3,1
A) 1 and 4
B) 3.5
C) 3.75
D) 8
pls help me show work

Answers

Answer:

3.5

Step-by-step explanation:

1-List the numbers from least to greatest

1, 1, 2, 3, 4, 4, 6, 9

2- Then cross off a number from each side unitl you ar with 3 and 4 in the middle.

3- Add 3+4 Together

7

4- Divide by two

3.5

For what values of t can 2x^2+tx+10 be written as the product of two binomials?

Answers

What does binomials mean???

The value of t for which the given expression 2x²+tx+10 will be a product of two binomial is 9.

What is binomial?

A binomial expression is an expression that has two terms.

In order to get the value of t for which the given expression 2x²+tx+10 will be a product of two binomial. We need to find a number(A) that is when broken into two other numbers(B and C), the sum of these numbers(B and C) is the number itself(A). Also, the product of the two numbers is equal to the product of the rest two terms of the expression(2 and 10).

Therefore, the number that fulfills this condition is 9. Let's check by substituting the value of t as 9.

[tex]2x^2+tx+10\\\\= 2x^2+9x+10 \\\\= 2x^2+5x+4x+10\\\\ = x(2x + 5)+2(2x+5)\\\\= (x+2)(2x+5)[/tex]

Hence, the value of t for which the given expression 2x²+tx+10 will be a product of two binomial is 9.

Learn more about Binomial:

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