Barb pulled the plug in her bathtub and it started to drain. The amount of water in the bathtub as it drains is represented by the equation L = -5t - 8t + 120, where L represents the number of liters of water in the bathtub and t represents the amount of time, in minutes, since the plug was pulled. How many liters of water were in the bathtub when Barb pulled the plug? Show your reasoning. Determine, to the nearest tenth of a minute, the amount of time it takes for all the water in the bathtub to drain.

Answers

Answer 1

The bathtub had 120 L of water before Barb pulled the plug.

It will take about 9.23 minutes for the water to drain out.

Given equation: L = -5t - 8t + 120

Simplified: L = -13t + 120

Notice how it's written in slope-intercept form (y = mx+b)

The y-intercept (L) is 120. So the coordinates for L = (0 , 120)

The coordinates mean that before the water in the bathtub began draining out, it initially had 120 Liters of water.

Now that we know how many liters there were before, the new equation would look like this: L = -13t --> 120 = -13t

Solving the equation, we get that t = -9.23 minutes

Since time can't be negative, we'll just say that it will take 9.23 minutes to drain out all the water.

Answer 2
The bathtub had 120 L of water before Barb
pulled the plug.
It will take about 9.23 minutes for the water to
drain out.
Given equation: L=-5t - 8t + 120
Simplified: L=-13t + 120
Notice how it's written in slope-intercept form (y
= mx+b)
The y-intercept (L) is 120. So the coordinates for
L= (0, 120)
The coordinates mean that before the water in
the bathtub began draining out, it initially had
120 Liters of water.
Now that we know how many liters there were
before, the new equation would look like this: L
=-13t -> 120 = -13t
Solving the equation, we get that t=-9.23
minutes
Since time can't be negative, we'll just say that it
will take 9.23 minutes to drain out all the water.

Related Questions

Mr. Millar's garden is in the shape of a trapezoid shown below. What is the area of the garden?

Answers

Answer:

12.5 unit square

Step-by-step explanation:

The area of a trapezoid is calculated with the following formula:

(b1 + b2)*h/2 (b1: base, b2: base, h: height)

(4+6)*(2.5)*2 = 12.5

Mr. Clark claims that he has a coin that is weighted so that the probability of heads is 40%. To test this, his students flip the coin 200 times and calculate the relative frequency of heads and tails.

(OPTIONS FOR CHOOSE (IN ORDER))
(Q1) Reasonably Close To/Very Different From
(Q2) True/False
(Q3) 0.50/0.60/0.70

Answers

Answer:

1. The relative frequency of heads is (A) reasonably close to 40%.

2. Mr. Clark's claim about the theoretical probability is likely to be (A) True.

3. This means that the theoretical probability of tails is most likely 0.6 for this coin.

( I also had this question before)

Answer: I think the answers are

(Q1) is A (Q2) is A and (Q3) is B

Step-by-step explanation: A for the first question because the Law of probability says: If you run a shorter trial then you get biased results but run a more extended trial you get unbiased results and his results would have to be true also the relative frequency is 0.6

PLEASE MARK AS BRAINLYEST IF YOU CAN

A rectangular prism is 15 centimeters long, 33 centimeters wide, and 29 centimeters high. What is the surface area of the rectangular prism?
Help!

Answers

Answer:

hey!!!

3774 is the answer

please read the explanation... it always helps!!!

Step-by-step explanation:

okay i want you to imagine a tissue box... there are six sides... 4 that are equal in measure and the other two that are equal in measure... (i hope that was helpful and not confusing!! lol)

2 (15*33 + 15*29 + 33*29) = 3774

3774 cm squared

Answer:

total surface area = 3774 cm2

lateral surface area = 2784 cm2

top surface area = 495 cm2

bottom surface area = 495 cm2

Step-by-step explanation:

I just multiplied the dimensions given in question...

hope this helps! :D

Can someone answer this

Answers

Answer:

C

Step-by-step explanation:

Snow because the temperature is below freezing and the previous days forcast had clouds that indicated at least rain which would turn to snow

Answer:

Snow

Step-by-step explanation:

If the temp is below 30 degrees which is freezing, and it is going to percipitate ( i.e. rain, snow, sleet, hail,) it will be either snow sleet or hail because the rain will freeze due to the cold temperatures.

What is the interquartile range of this data set?

{18, 17, 10, 25, 20, 20, 30, 18, 18, 30, 25}



Enter the answer in the box.

Answers

Answer:

7

Step-by-step explanation:

Answer:
The interquartile range of the data set is 7.

Step-by-step explanation:

The given set of data is
(18, 17, 10, 25, 20, 20, 30, 18, 18, 30, 25)
Arrange the data in ascending order.
10, 17, 18, 18, 18, 20, 20, 25, 25, 30, 30
Divide the data in two equal parts.
(10, 17, 18, 18, 18), 20, (20, 25, 25, 30, 30)
Divide each parenthesis in 2 equal parts.
(10, 17), 18, (18, 18), 20, (20, 25), 25, (30, 30)
Now we can say that,
Q1 = 18, Median = 20, Q3 = 25
Interquartile rage of a data is
I.Q.R. Q3 Q₁
I.Q.R.25-18=7

Therefore the interquartile range of the data set is 7.

hurry ill give brainly

Answers

Answer:

A = 54 units²

Step-by-step explanation:

Area of triangle

[tex]A = \frac{1}{2} \times \text{base} \times \text{perpendicular height}[/tex]

You can read the lengths of the base and the height from the graph. Base is 12 units and height is 9 units. (Count the squares. Or 12 = 13 - 1 and 9 = 14 - 5)

[tex]A = \frac{1}{2} \times 12 \times 9\\A = 54 \text{ units}^2[/tex]

your answer is a=54 units^2

Jane arranged 99 chairs in 6 rows as evenly as possible.
(a) How many rows had exactly 16 chairs?
(b) How many rows had 17 chairs?

[A] (a) 3 rows [B] (a) 5 rows [C] (a) 6 rows [D] (a) 3 rows
(b) 2 rows (b) 3 rows (b) 2 rows (b) 3 rows

Answers

(C)a)6

i didnt know how to do b

Step-by-step explanation:

it is bcz 99÷16 is 6

Answer:

(a) 3 rows had 16 chairs.

(b) 3 rows had 17 chairs.

Explanation:

There must be 6 rows, which is constant.

Make equation's:

1st equation: 16p + 17w = 99

2nd equation: w + p = 6, w = 6 - p

Solve by substitution:

⇒ 16p + 17(6 - p) = 99

⇒ 16p + 102 - 17p = 99

⇒ -p = -3

⇒ p = 3

Then find w, w = 6 - p = 6 - 3 = 3

Hence, there is 3 rows of 16 chairs and 3 rows of 17 chairs.

Try to match match and confirm the answer:

17 × 3 + 16 × 3 = 99 chairs in 6 rows

500 people are asked to name their favorite color. The results of this survey are shown in the pie chart below:
Each sector of the pie chart makes an angle at the center. For example, the yellow sector makes an 18-degree angle, since 18 degrees is 5% of 360 degrees.

If we consider only the people who named a rainbow color (red, orange, yellow, green, blue, or purple), what percentage of those people preferred red?

Answers

Answer:

40 degrees is (40/360)=0.111=11.1%

The color closest to 11.1% is Purple at 12%.

The total who prefer a rainbow color is:

13+4+5+15+16+12=65

Of this 65, 13 prefer red, so 13/65=0.20,

of the people who preferred a rainbow color,

20% preferred red.

Step-by-step explanation:

The percentage of those people who preferred red is 20%.

What is a percentage?

The percentage means the required value out of 100.

It is calculated by dividing the required value by the total value and multiplying it by 100.

The percentage change is also calculated using the same method.

In percentage change, we find the difference between the values given.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

Considering only the people who named a rainbow color (red, orange, yellow, green, blue, or purple).

This means,

Total percentage.

= (13 + 4 + 5 + 15 + 16 + 12)

= 65%

Now,

The percentage of those people preferred red.

= 13%/65% x 100 %

= 13/65 x 100

= 20%

Thus,

The percentage of those people who preferred red is 20%.

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ2

help me please thank u

Answers

Answer:

[tex]225 {m}^{3} [/tex]

Step-by-step explanation:

To find the volume of the shape first we have to split the shape into two rectangles; a large one at the bottom and a small one at the top. The formula to find volume of a rectangle is

[tex]v = length \times width \times height[/tex]

note that after both volumes are found they should be added to determine the volume of the entire shape*

The length of the large rectangle is 5m, the width is 7m, and the height is 6m. Therefore the volume is

[tex]v = l \times w \times h \\ v = 5 \times 7 \times 6 \\ v = 210 {m}^{3} [/tex]

The length of the small rectangle is 5m, the width is 3m, and the height is 1m. Therefore the volume is

[tex]v = l \times w \times h \\ v = 5 \times 3 \times 1 \\ v = 15 {m}^{3} [/tex]

[tex]210 {m}^{3} + 15 {m}^{3} = 225 {m}^{3} \\ therefore \: the \: volume \: of \: the \: \\ entire \: shape \: is: \\ 225 {m}^{3} [/tex]

Answer:

[tex]V_{\ total}=225\ m^3[/tex]

Step-by-step explanation:

Step 1:  Find the volume of the big box

[tex]V_{\ big} = l * w * h[/tex]

[tex]V_{\ big} = 7\ m * 5\ m * 6\ m[/tex]

[tex]V_{\ big} = 210\ m^3[/tex]

Step 2:  Find the volume of the small box

[tex]V_{\ small} = l * w * h[/tex]

[tex]V_{\ small} = 3\ m * 5\ m * (7\ m - 6\ m)[/tex]

[tex]V_{\ small} = 3\ m * 5\ m * 1\ m[/tex]

[tex]V_{\ small} = 15\ m^3[/tex]

Step 3:  Combine the volumes

[tex]V_{\ total}=V_{\ big} + V_{\ small}[/tex]

[tex]V_{\ total}=210\ m^3 + 15\ m^3[/tex]

[tex]V_{\ total}=225\ m^3[/tex]

Answer: [tex]V_{\ total}=225\ m^3[/tex]

Find the missing values in the ratio table. Then write the equivalent ratios in the order they appear in the table.
calories: 25, 50, ?, ?
servings: 1/3, ? 1, 4/3

Answers

Calories increase by 25 each.
25, 50, ?, ? = 25, 50, 75, 100

Servings increase by 1/3 each. (1 = 3/3)

1/3, 2/3, 1, 4/3

Brainliest! Please help me

Answers

Hey there!

1/2 x 4/4 = 4/8

So , ? = 4

Answer:

the answer should be 4/8 hopefully because first of all you need to use a method that can help you save your life which is cross multiplying.

_1_= __?_

  2       8

you multiplied first 1 times 8 and then divide by 2 in which you will get an answer of 4/8 and to check it you divide 1/2 which gives you 0.5 and then divide 4/8 to see if it is an equivalent fraction and it will give you 0.5 in which yes sir its an equivalent fraction so 4/8 is the correct answer and have a great day.

Step-by-step explanation:

Please help me with this I would give you 50 points. Mrs. Hall's sixth-graders walk laps every day on the school track. the following are the numbers of laps the class competed in that lasted 12 weeks

15,18,20,20,10,22,14,7,18,19,15,23

create a box plot of the data.

Answers

Answer:

Refer to image below

Step-by-step explanation:

2. The lengths of three rods are $6 cm, 10 cm, and 11 cm. How can you use these rods to measure a length of 15 cm ?

Answers

26cm           10cm       11cm    

Step-by-step explanation:

The table below shows the price, y, of ground beef based on weight, x. Given that y is proportional to x, what would be the price of 3 pounds of meat?

Answers

B,cause after 2.25 it’s 3 pounds and if you - 4.95 with 3.85 you will get 1.10 and then you plus it with 4.95 equals 6.05 but obviously it’s not gonna be on there so you gotta do a lil rounding up ! I think,I just got the answer from my teacher
The answer should be (b)

can you guys help me please the options or 6 or 10 or 12 please

Answers

Answer:6

Step-by-step explanation: if you take the width of the box (30cm) and the book's width (15cm) you can quickly tell there can be two stacks because 15 +15 is 30. now take the height of the book (6cm) how many times can it go into the height of the box (20cm) 3. so 2 stacks of three is 6.

12 so essentially you want to

Louisa’s savings change by -$6 each time she goes bowling. In all, it changed by -$66 during the summer. How many times did she go bowling in the summer?**Just write the number

Answers

Answer: She went [tex]11[/tex] times during the summer.

Step-by-step explanation:

If Louisa's savings change by [tex]-6[/tex] each time she goes bowling and it went to [tex]-66[/tex], that means that Louisa went another [tex]11[/tex] times.

[tex]\frac{1}{11}[/tex]

So therefore your answer would be 11.

What is the value of x? image below

Answers

Answer:

Angle x = 72

Step-by-step explanation:

Angle AHI = Angle HIK = 63

(This is because the two angles are corresponding angles, HI//JK)

Angle x = 180 - 63 - 45

             = 72

Angle HJK is given and is 63 degrees, then angle HJK is a number added to 63 that makes 180 degrees. Angle HJK is 117. That means angle AHI is a number plus 117 = 180. Angle AHI is 63.
A triangle makes 180 degrees total no matter what so if we have two angle measures we can add them and subtract from 180. 63 + 45 = 108. 180-108= 72 degrees :)

Pls help me givving brainliest also NOOOO LINKSSSSSSSS

Answers

Answer is 30.

5•12= 60 ÷ ½ or 0.5 = 30.
1/2*l*w
1/2*12*5
Answer- 30

Reflecting shape A in y = -x line.

Answers

Answer:

given this points

Step-by-step explanation:

-5,2

-8,2

-5, 3

all reflected across the x axis making the y values stay the same for no vertical shifts

hurry illgive brainlt
Which ratios are equivalent to the given ratio?

3 to 2

Select each correct answer.


1510

23

4:12

6 to 4

18:12

Answers

The answers would be A, D, E
Solution:
18:12

6:4

(And if the first one is 15:10 then yes, but if it’s just a whole number which is 1510 then no)

1. How can you find the area of a circle?

Answers

Answer: by using the formula (pi)r^2

Step-by-step explanation:

the r stands for radius

4. Find the vertex, focus, and directrix of the parabola. Sketch its graph, showing the focus and the directrix.
x^{2}=-3 y

Answers

Answer:

vertex - (0,0)

focus - (0, 3/4)

directrix - 3/4

parabola- x^2=-3y

graph of equation:


Jayden wants to lay sod on his front yard and on half of his back yard. His front yard has a length of 50 feet and a width of 70 feet. His back yard has a length of 10 feet and a width of 30 feet. How many square feet of sod does Jayden need to purchase?

Answers

The first thing we must do for this case is to calculate the area of both yards.

We have then:

front yard:

A1 = (50) * (80)

A1 = 4000 feet ^ 2

Back yard:

A2 = (10) * (30)

A2 = 300 feet ^ 2

"Jayden wants to lay sod on his front yard and on half of his back yard"

Then, the total amount will be:

A = A1 + (1/2) A2

Substituting:

A = 4000 + (1/2) (300)

A = 4000 + 150

A = 4150 feet ^ 2

Answer:

jayden needs to purchase 4150 square feet of sodd

Answer:

Its an area equation. Area is length times width.

So to start, he needs 50 x 80 square feet in his front yard, BUT THAT IS ONLY HALF OF THE PROBLEM. For the front yard he needs 4000 sq. feet. For the back, it is different. He needs 10x40÷2. To first simplify, we do the multiplication. This comes to 400÷2. then it is simply 200.

Now for the easy part. Take the 4000 and add 200. Answer? 4,200.

PLEASE HELP!!

What is the surface area of the triangular prism shown?

Answers

Answer:

volume v: 3494.8 cm²

Step-by-step explanation:

I think I am not sure

Answer: 1008

Step-by-step explanation:

Brainly patrol please don’t delete

Writing a Complex Number in Standard Form In Exercises 11-22, write the complex number in standard form.
11. 8+\sqrt{-25}

Answers

Answer:

Step-by-step explanation:

a boom de la caca

which irrational number is the GREATEST?

Answers

Answer:

None

Step-by-step explanation:

Irrational numbers are numbers that go on and on. Since none of them ever end, there cant be a greatest irrational number.

the answer is D. i put them into the calculator and turned them into decimals

given the function f(x) = x2 - 4 + 3, what is the output of f(-3)?

x2(second power)
A). 24
B). 21
C). 0
D) -3

Answers

Answer: 0

Step-by-step explanation:


Brainly patrol pls don’t delete

f(-3) means substitute x = -3 to the function:
f(x) = x^2 - 4x + 3
f(-3) = (-3)^2 - 4(-3) + 3
f(-3) = 9 + 12 + 3
f(-3) = ?
So wouldn’t it be A 24?

please help!

A survey was conducted to determine how many movies were seen in one month among the 26 students in Mrs. Hampton’s sixth-grade class. The results are shown in the dot plot below.



a) Calculate the measures of center for the data in the dot plot, rounding your answers to the nearest tenths place. Show how you determined your answer. b) Are there any overall patterns in the data set? Striking deviations? Use mathematical reasoning to justify your answer.

b) Are there any overall patterns in the data set? Striking deviations? Use mathematical reasoning to justify your answer.


c) Calculate the measures of spread for Mrs. Hampton’s class data. Justify your response by describing the process used to find each measure.

d) Which is a better measure of spread: range or interquartile range? Why?

e) What does the value of the mean absolute deviation tell you about the spread of the data?

Answers

Answer:

B

Step-by-step explanation:

the answer is B step by step explanation

please help me with this square!

Answers

Answer:

EF

Step-by-step explanation:

its EF because its on the same corresponding side as LM

BRAINIEST PLS MY LADY

Answer:EF

Step-by-step explanation:

corresponds means having a close similarity; match or agree almost exactly. and by looking at the graph EF corresponds with LM meaning that EF is the answer.

Hope this helps, have a good day/night!

On a DVD, information is stored on bumps that spiral around the disk. There are 73,000 ridges (with bumps) and 73,000 valleys (without bumps) across the diameter of the DVD. What is the diameter of the DVD in centimeters? Round your answer to the nearest whole number.

Answers

Answer:

I pretty sure it's 8cm.

Step-by-step explanation:

I multiplied 73,000 by 0.000074, which resulted in 5.402.
Then, I multiplied 73,000 by 0.000032, which resulted in 2.336.
I added the products together, which gave a sum of 7.738.
Then I rounded to the nearest whole number, which is 8, because the tenth in the decimal (.7) rounds up because it is >4.

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