A rectangular container that has a length of 30 cm, a width of 20 cm, and a height of 24 cm is filled with water to a depth of 15 cm. When an additional 6.5 liters of water are poured into the container, some water overflows

Answers

Answer 1

Answer:

Step-by-step explanation:

1.1 L

Given:

A rectangular container that has:

   a length of 30 cm,

   a width of 20 cm, and

   a height of 24 cm

It is filled with water to a depth of 15 cm.

When an additional 6.5 L of water are poured into the container, some water overflows.

Question:

How many liters of water overflow the container?

The Process:

Step-1: calculate the volume of rectangular container

The volume of rectangular container is 14,400 cm³, then converted to 14,4 L.

Step-2: calculate the volume of water filled in the container to a depth of 15 cm

The volume of water filled is 9,000³ cm, then converted to 9 L.

Step-3: calculate the volume of water overflow when an additional 6.5 L of water is poured into a container.

The volume of water overflow equals the initial water volume is added to the additional water volume then subtracted by the container volume.

The volume of water overflow =

Thus, the volume of water overflow of the container is 1.1 L.


Related Questions

Your backyard is 60 feet long and 50 feet wide. You install a circular pool with a 10-foot radius. What is the area of the backyard, in square feet, that can be planted with grass? Round your answer to the nearest whole number (Area of a rectangle = base x height) (Area of a circle = 3.14 x (radius) ^2)

Answers

Answer:

2686

Step-by-step explanation:

First let's find the area of the garden.

[tex]60 \times 50 = 3000ft {}^{2} [/tex]

Now let's find the area of the pool.

[tex]3.14 \times 10 {}^{2} [/tex]

[tex]3.14 \times 100 = 314ft {}^{2} [/tex]

Lastly subtract both products.

[tex]3000 - 314 = 2686[/tex]

The picture shows a piece of transparent paper with a design drawn on it. The paper is then folded twice, as shown. What will be seen on the folded paper?

Answers

Answer:

Step-by-step explanation:

What is the equation of the parabola with focus (0, 1/2) and directrix y= -1/2

Answers

keeping in mind that the vertex is half-way between the focus point and the directrix, and since the focus point is above the directrix, meaning the parabola is a vertical parabola opening upwards, the parabola will more or less look like the one in the picture below, with a distance from the vertex of "p" being positive since it's opening upwards.

[tex]\textit{vertical parabola vertex form with focus point distance} \\\\ 4p(y- k)=(x- h)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h,k+p)}\qquad \stackrel{directrix}{y=k-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\cap}\qquad \stackrel{"p"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\begin{cases} h=0\\ k=0\\ p=\frac{1}{2} \end{cases}\implies 4(\frac{1}{2})(y-0)~~ = ~~(x-0)^2\implies 2y=x^2\implies y=\cfrac{1}{2}x^2[/tex]

solve x/3+y/4=2
2x/3+3y/4=5

Answers

Step-by-step explanation:

please mark me as brainlest

Answer:

Step-by-step explanation:

[tex]\dfrac{x}{3}+\dfrac{y}{4}=2\\\\\\\text{Multiply the whole equation by the LCM of 4 , 12 which is 12}\\\\ 12*\dfrac{x}{3}+12*\dfrac{y}{4}=12*2\\\\\\4x + 3y=24 \ -------------------(i)[/tex]

[tex]\dfrac{2x}{3}+\dfrac{3y}{4}=5\\\\\\\text{Multiply the whole equation by 12}\\\\12*\dfrac{2x}{3}+12*\dfrac{3y}{4}=5*12\\\\\\[/tex]

8x + 9y = 60 -------------------------(ii)

Multiply  equation (i) by (-2)

(i)*(-2)              -8x -6y = -48

(ii)                     8x +9y = 60   {Now add. x will be cancelled}

                                3y = 12    {Divide both sides by 3}

                                  y = 12/3

y = 4

Substitute y = 4 in equation (i)

4x + 3*4 = 24

4x + 12   = 24

         4x = 24 - 12

         4x = 12

           x = 12/4

x = 3

[tex]\boxed{x = 3 \ ; \ y = 4}[/tex]

Which number is a multiple of 2?
A) 14
B) 21
C) 7
D) 19

Answers

Answer:

The answer is A

Step-by-step explanation:

Since the number that you are finding the multiple of is 2, it has to be an even number. Another way is if 2 by another whole number equals the answer choice then you got your answer.

If my dot plot is not skewed or symmetrical which measure of variability should I use? (15 data points) PLEASE HELP THE ASSIGNMENT IS DUE TONIGHT!
these are the data points: 5,6,7,7,7,8,8,9,9,9,9,9,10,10,11
I also need the best measure of center!

Answers

If the data is not skewed, then the mean is the best measure of center.

This then also includes the standard deviation because the standard deviation relies on the mean.

To get the mean, add up the data values:

5+6+7+7+7+8+8+9+9+9+9+9+10+10+11 = 124

Then divide by the sample size n = 15

124/n = 124/15 = 8.267 approximately

Once you determine the mean, you can then determine the standard deviation which involves a bit more complicated steps. The rough outline is:

Subtract each data value from the mean. So right off the bat, we can see how important the mean is when it comes to calculating the standard deviation.Square those differences from step one.Add up the squares to get the Sum of the Squared Errors (SSE)Divide the SSE by n-1 to get the sample variance, or divide by n to get the population variance. It will depend on context which version you go for.Apply the square root to the variance to get the standard deviation.

Once again, step 1 shows how critical the mean is to finding the standard deviation. The standard deviation measures how far each value is from the mean on average. In other words, it's like a measure of the average distance from the mean.

Use of spreadsheet software is strongly recommended to keep track of everything. You can also use a standard calculator to compute the standard deviation. There are also tons of free online calculators that can help out with that as well.

-----------------------------------------------------------

If the data was skewed to one side, then the median is the better measure of center because it is not affected by outliers. The IQR (interquartile range) is used instead of the standard deviation for skewed distributions.


Give the center and radius of the circle described by the equation and graph the
equation. Use the graph to identify the domain and range.
(x+3)² + (x - 2)² = 9

Answers

Answer:

I don't know the exact answer but, I had a problem like this the other day. This is how to find it out. I am just in a rush so I have to go if not I would help you figure it out.

Step-by-step explanation:

Write the equation of each circle.

1. center at (9, 0), radius 5

SOLUTION:  

ANSWER:  

2. center at (3, 1), diameter 14

SOLUTION:  

Since the radius is half the diameter, r = (14) or 7.

ANSWER:  

3. center at origin, passes through (2,2)

What is the slope-intercept form of 11x-13y=39?

Answers

Answer:

Step-by-step explanation:

y=11/13x−3

hope this helps and mark me brainliest as well please.

Nine times the sum of a number and 2 is equal to 4.

Answers

Answer:

9(n+2) = 4

Step-by-step explanation:

9(n+2) = 4

to solve for 'n' first distribute the 9 to get:

9n + 18 = 4

subtract 18 from each side to get:

9n = -14

n = -14/9

i need help on a math question thank u

Answers

Answer:

XZ is longer than XY

Step-by-step explanation:

First we can notice all of the answers consist of knowing the lengths, so we must now find the lengths for each segment. To do this, we must use the pythagorean theorem.

(1, -1) and (-5, -5)

-5- -1 = -4

-5-1 = -6

-4^2+-6^2 = c^2

16+36 = c^2

52 = c^2

7.21110255 = c

So, the length of XZ is 7.21110255 units long

(1, -1) and (8, -2)

8-1 = 7

-2--1 = -1

7^2+-1^2 = c^2

49+1 = c^2

50 = c^2

7.07106781 = c

So, the length of XY is 7.07106781 units long.

XZ is longer than XY

What is the value of x?
Enter your answer in the box.

Answers

Since it is an equilateral triangle, all the sides are equal

(To make things more simple, you can compare 2 sides out of 3 --> as in you can choose the 2 most simple ones to solve)

4x-10 = 3x+2          Simplify like terms

x = 12

If you want to prove, just plug 12 back into each side

Hope this helped :)

Find the volume of the given prism.

Ans:60cm^3​

Answers

Answer:

60 cm³

volume of triangular prism : area of base * Length

Given:

side of triangle : 4 cmside of triangle : 3 cmangle between 4 cm and 3 cm : 90°Length : 10 cm

Find area of base:

[tex]\rightarrow \sf \dfrac{1}{2} * side \ 1 \ * side \ 2 \ * \ sin (\theta)[/tex]

[tex]\rightarrow \sf \dfrac{1}{2} *\ 4 \ * \ 3 \ * \ sin (90)[/tex]

[tex]\rightarrow \sf 6 \ cm^2[/tex]

Volume :

A * L6 * 1060 cm³

Answer:

60 cm³

Step-by-step explanation:

To calculate the volume of the prism, we need to find the area of the triangle and multiply it by the height of the prism.

⇒ Volume of prism = Area of triangle × Height of prism

Find the area of the triangle

⇒ Volume of prism = (Area of triangle) × Height

⇒ Volume of prism = (1/2 × Base × Altitude) × Height of prism

⇒ Volume of prism = (1/2 × 3 × 4) × Height of prism

⇒ Volume of prism = (3 × 2) × Height of prism

⇒ Volume of prism = 6 × Height of prism

Substitute the height in the volume

⇒ Volume of prism = 6 × Height of prism

⇒ Volume of prism = 6 × 10

Solve for the volume.

⇒ Volume of prism = 6 × 10

Volume of prism = 60 cm³

A case of glue weighs 24 pounds. A pallet loader can lift 3 tons. How many cases can a pallet loader lift?

Answers

Answer:

250 cases

Step-by-step explanation:

3 tons is 6000 pounds

you divide 6000 by 24 and get 250

that is your answer

What are the coordinates of the point on the directed line segment from (-1, -1) to
(5,-5) that partitions the segment into a ratio of 1 to 3?

Answers

The partitions involves dividing the line into subsegments

The coordinate of the point on the directed line segment is (0.5,-2)

How to partition the line?

The given parameters are:-

line segment = (-1, -1) to (5,-5)

Segment ratio = 1 : 3

The coordinates of the partition is calculated as:

[tex](x,y) = (\frac{mx_2 + nx_1}{m+ n},\frac{my_2 + ny_1}{m+ n})[/tex]

Substitute known values

[tex](x,y) = (\frac{1 *5 + 3 * -1}{1+ 3},\frac{1 *-5 + 3 * -1}{1+ 3})[/tex]

Evaluate the products

[tex](x,y) = (\frac{2}{4},\frac{-8}{4})[/tex]

Evaluate the quotients

[tex](x,y) = (0.5,-2)[/tex]

Hence, the coordinate of the partition is (x,y) = (0.5,-2)

Read more about line partitions at:

https://brainly.com/question/12959377

-2x > 12
A. X>-6
B.x>14
C. X<14
D. X<-6

Answers

Answer:

D. x< -6

Step-by-step explanation:

Divide both sides by −2. Since −2 is negative, the inequality direction is changed.

x < 12/-2

Divide 12 by −2 to get −6.

x < -6

Could someone help me with this

What is -x<-29?​

Answers

Answer:

its positive 29 since you dividin a negative 1 and a negative divided by a negative is a positive

Step-by-step explanation:

Answer:

Assuming you're hoping to solve the inequality for x, x > 29

Step-by-step explanation:

When dividing both sides of an inequality by -1, the sign will be reversed. In this case, the sign will change from a less than to a greater than, meaning -x < -29 => x > 29.

55 POINTS QUICK PLEASE!!!!!!!

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Bailey’s Cakes and Pastries baked a three-tiered cake for a wedding. The bottom tier is a rectangular prism that is 18 centimeters long, 12 centimeters wide, and 8 centimeters tall. The middle tier is a rectangular prism that is 12 centimeters long, 8 centimeters wide, and 6 centimeters tall. The top tier is a cube with edges of 4 centimeters each. What is the volume of each tier and of the entire cake?

Answers

Answer:

Formula

Volume of a rectangular prism = width × length × height

Bottom Tier

volume = 12 × 18 × 8

            = 1,728 cm³

Middle Tier

volume = 8 × 12 × 6

            = 576 cm³

Top Tier

volume = 4 × 4 × 4

            = 64 cm³

Entire Cake

Volume = bottom tier + middle tier + top tier

             = 1728 + 576 + 64

             = 2,368 cm³

please help I will mark BRAINLIEST ​

Answers

Answer:

Your answer is t>28

Have a nice day!

mark as brainliest

Answer:

T>28

Step-by-step explanation:

Each level of a smartphone app adds more gems for you to match. On
level one, there were 13 gems. On level twelve, there were 123 gems.
When you complete all twelve levels, how
many total gems will you have
matched? (2 points)
O 748
• 816
O 660
O 605

Answers

Answer is 816. Hope this helps

If George went camping 15 times, how could you figure out how many times Dave went camping?

Answers

Answer:

no you couldnt

Step-by-step explanation:

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

BC = 11

hope it helps...!!!

Answer:

x = 11

BC = 48

Step-by-step explanation:

11 + 37 = 48 and 4(11) + 4 = 48 and since they are both being multiplied by 11 in place of the x, that makes it congruent. BC is 48 because 11 + 37 = 48. hope it makes sense

What is the outlier for the data set?
Heart Rate
5 0 7
6 3 5 6 8 8
7 0 2
8
9 0
5 0 = 50 beats per minute
40
50
68
90

Answers

Answer:

6 3 5 6 8 8

Step-by-step explanation:

farthest apart than any other number

Answer:

Your correct answer is 90 :)

Step-by-step explanation:

90 is the biggest number in the number set so therefore it is an outlier. 

Have an amazing day!!

Please rate and mark brainliest!!

true or false? criminal cases cannot be brought before a jury trial

Answers

Answer:

Step-by-step explanation:

True

Find the distance between (4,-5) and (-3,-5).​

Answers

Answer:

7 units

Step-by-step explanation:

Since the two points have the same y-coordinate of -5, the distance between them is due to the difference of their x-coordinates.

Distance

= 4-(-3)

= 4 +3

= 7 units

Note:

Should the two points have different x and y coordinates, you may use the distance formula below.

[tex]\boxed{\textcolor{steelblue}{\text{Distance between 2 points}= \sqrt{(y_1 - y_2)^{2} + (x_1 - x_2)^{2} } }}[/tex]

where (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate

ANSWER FOR EXTRA POINTS ⭐️⭐️⭐️

Answers

It should be b) from my recollection.

the answer is b if i remeber

Hi can you show me how to do thistles and

Answers

Answer:

#6:

Step-by-step explanation:

#6

So these two angles are actually the same. Since the lines l and m are parallels and those angles are opposite from each other, they are the same.

This means you can solve for x by saying:

3x-63 = 2x+2

x = 65

#7

Since the l and m are parallels, and the angles are NOT opposite, when you add the two angles together, you should get 180 degrees

So:

(2x + 20) + (6x + 24) = 180

x = 17

Please help with give brainliest

Answers

Answer:

9/20

Step-by-step explanation:

1/4=.25

1/5=.20

add .25 and .20 and you get .45

convert .45 into a fraction in which you can just use the fractions provided and all you got to do is match the decimal on a calculator

As Juan continued his hitting practice showing off his abilities, one of the balls flew over the center field stands and into the parking lot. “Did you see that shot”, he yelled at the girls. “The ball hung in the air for at least 10 seconds”, he exclaimed.

The formula for this hit is:
h(x−) = 16+x2 8+3x 4 where h is the height of the ball and x is the number of seconds the ball is in the air.

I need help with part B

Answers

Answer:

  A. Find h(10) = 0 . . . (it is not)

  B. h(5.235) = 0; hang time was about 5.235 seconds

Step-by-step explanation:

The hang time of the ball is the value of x in h(x) such that h(x) = 0.

__

A.

Juan can show the hang time is 10 seconds by finding h(10) = 0. The value of h(10) is ...

  h(10) = -16(10²) +83(10) +4 = -1600 +834 = -766 ≠ 0

Juan cannot prove the hang time was 10 seconds.

__

B.

The hang time is the solution to ...

  h(x) = 0

  -16x² +83x +4 = 0 . . . . . use the given expression for h(x)

  x² -5.1875x = 0.25 . . . . divide by -16

  x² -5.1875x +6.7275390625 = 6.9775390625 . . . . add (5.1875/2)²

  (x -2.59375)² = 6.9775390625 . . . . . . . . . . rewrite as a square

  x = 2.59375 ±√6.9775390625 ≈ {-0.048, 5.235} . . . . square root, find x

The hang time of the ball was about 5.235 seconds.

__

We like a graphing calculator for finding a quick solution to questions like this.

A city has a population of 380,000 people. Suppose that each year the population grows by 6.5%. What will the population be after 10 years?
Round your answer to the nearest whole number.

Answers

The growth formula is:

y = a•(1+x)^(t/p)

y is the end result

a is the initial amount

x is the percent growth as a decimal

t is the total amount of time

p is how often the growth occurred

Note that t and p both need to be the same units, whether that be seconds or days or months or years etc.

So,

y = 380000 • (1.065)^(10/1)

y = 380000 • 1.87713746527

y = 713312.236802

y = 713312

Answer my question #2

Answers

Answer:

Ans is mean .because mean means average.

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