A vase is in the shape of a rectangular prism. It has a base area of 40
square inches and a height of 10 inches. The vase is filled to the top with
water and emptied into a fish tank. The fish tank is also shaped like a
rectangular prism. How much more water would be needed to fill the fish
tank to the top?

Answers

Answer 1

Answer:

40/10

Step-by-step explanation:

Answer 2

The amount of water needed to fill the fish tank to the top is 400 inch³

What is the Volume of a Rectangle?

The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle

Volume of Rectangle = Length x Width x Height

Volume of Rectangle = Area of Rectangle x Height

Given data ,

Let the volume of the fish tank be = V

Let the base area of the rectangle be A = 40 inch²

Let the height h of the rectangle be h = 10 inches

Now , the volume of the vase = volume of fish tank

So , the volume of fish tank is calculated from the formula,

Volume of fish tank = base area of the rectangle x height h of the rectangle

Substituting the values in the equation , we get

Volume of fish tank = 40 x 10 inch³

On simplifying the equation , we get

Volume of fish tank = 400 inch³

Therefore , the value of V is 400 inch³

Hence ,

The amount of water needed to fill the fish tank to the top is 400 inch³

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Related Questions

Help!! This is i-ready!!! Will get brainiest!!!

Answers

Answer:

It would be,

The people who volunteer usually have a motive to do so and will be the only ones represented.

Step-by-step explanation:

What is an estimate of 37.9% of 192.3?
A 57
B 02
C 80
D 100

Answers

Answer:

C.80

Step-by-step explanation:

37.9% of 192.3

=37.9/100 × 192.3

=0.379×192.3

=72.8817

≈80 (possible answer)

Complete Steps 1 - 2 in order. Triangle ABC has an area of 25 square feet and a perimeter of 5 65.5 feet. AABC is dilated by a factor of to create 2 ADEE. X 10. ​

Answers

Answer:

163.75

Step-by-step explanation:

a scale factor applies normally to lengths (one-dimensional sizes).

and the perimeter is calculated just by lengths (the side lengths).

so, we can apply the scaling factor directly to the perimeter.

perimeter of DEF = 5/2 × perimeter of ABC = 5/2 × 65.5 =

= 163.75 ft

what was step 1 ? we did not need it ?

Rq I’ll brainlist.

Simplify 4kp x k ???

Answers

Hello!

We have

4kp×k

Multiply 4 times k times k times p:

4k²p

k² = k times k (k times itself)

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

[tex]\boxed{An~Emotional~Helper~here~}[/tex]

- Halalna wrote lile
47 X 31 = 1,457
1,457 · 47 =
What is the quotient in Halaina's
problem?
A 47
B 31
с 30
D 25

Answers

Answer:

A quotient is the number we get when we divide one number by another.

for example

8 ÷ 4 = 2. In this case, the number 2 will be the quotient since it is the result we got when we divided 8 and 4.

I'm going to assume that "1,457 . 47 =" was meant to have a division sign, if that is the case then the answer is B 31.

You have just inherited $150,261 from a trust that has matured. you would like to invest the total amount into an account that pays you an annual compounded interest rate of 9.1%, and you would like to make annual withdrawals over the next 20 years such that by the end of this 20 year period, the amount remaining in the account will be zero dollars. determine, from the given information, the amount of the annual withdrawals. round to the nearest cent. a. $16,578.03 c. $15,978.10 b. $162,851.31 d. $15,575.98

Answers

A. 16,578.03 that’s the answer to the nearest

The amount of the annual withdrawals will be $16,574.24.The amount is the sum of the principal and the simple interest gain.

What is the amount?

The complete repayment of money at the end of the time period for which it was borrowed is referred to as the amount.

The given data in the problem is;

P ia the annual payment

PV is the present value = $150,261

r is the rate of intreast = 9.1% = 0.091

n is the time period= 20

The formula for the annual payment is found as;

[tex]\rm P= \frac{r \times PV}{1-(1+r)^{-n}} \\\\ \rm P= \frac{0.091 \times 150261}{1-(1+0.091)^{-20}} \\\\ \rm P=16,754.2437[/tex]

Hence the amount of the annual withdrawals will be $16,574.24.

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Scientists developed a maze for rats that has 555 compartments, and each compartment had a different food. In each trial, scientists would record which compartment the rat went to first. They were curious if the rats favored some compartments more than others. Here are the results from 1000 trials.

Answers

The expected count that can be deduced from the arrivals to the second compartment will be 200.

How to calculate the expected count?

It should be noted that in order to perform a goodness of fit test, the expected number of rats that are in each compartment will be gotten.

Therefore, the expected number of rats that will be in the second compartment will be:

= 1/5 × 1000

= 200

In conclusion, the correct option is 200.

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A candy bar box is in the shape of a triangular prism. The volume of the box is 2,400 cubic centimeters.

A triangular prism is shown with base of triangle labeled 16 cm, sides of triangles labeled 17 cm, and length of the box equal to 20 cm.

Part A: What is the height of the base? Show your work. (5 points)

Part B: What is the approximate amount of cardboard used to make the candy box? Explain how you got your answer. (5 points)

Answers

Answer:  the answer is 1000cm2.

The volume of a triangular prism shaped box is 2,400 cubic centimeters.

Base of the triangle = 16cm

Sides of the triangle = 17cm

Length of the box = 20cm

Triangular prism

A triangular prism is a three-sided prism made of a triangular base and a corresponding side.

A. To find the height of the base = 3 x the volume divided by the base area = 15cm. B. The approximate amount of card board used to make the candy box:

Using the lateral prism as the sides will be:

Lateral area =  Perimeter of triangle X height of the prism

Lateral area =  (16 + 17 + 17) X 20

Lateral area =  50 X 20

Lateral area =  1,000 cm2

Therefore, the answer is 1000cm2.


The residents of a downtown apartment building are starting a rooftop garden. They will plant 4 beds of vegetables for every 1 bed of flowers, plus have 5 extra beds of vegetables. They plan to plant
a total of 30 garden beds. In the system of equations shown, v is the number of vegetable beds and f is the number of flower beds.
v=4f +5

v+f= 30
How many vegetable beds and how many flower beds will be in the rooftop garden?

Answers

Answer:

89

Step-by-step explanation:

A bag contains 6 different colored chips. If 2 chips are selected at random, how many different combinations of colors are

possible?

Answers

Answer:

I think the answer is 4 or am I wrong please I don't understand

Math riddle where do you put smart hot dogs
no links and will give brainliest

Answers

Q: Where do you put a smart hot dog? A: On the honor roll.

The solution is, the final answer is 78.

What is addition?

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

here, we have,

The parts of the final expression are ...

 6 walker = 150

 walker = 150/6 = 25

 yoda^4 = 81

 yoda = 81^(1/4) = 3

2 Rtwo +100 = 120

Rtwo = (120 -100)/2 = 10

 luke + yoda × Rtwo + walker × Rtwo = 285

 luke + 3×10 + 25×10 = 285

 luke = 285 -280 = 5

And the grand finale:

 luke ^ yoda - Rtwo(walker / luke) + yoda

= 5^3 -10(25/5) +3 = 125 -50 +3

= 78

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Complete question:

May the fourth be with you math riddle.

picture is attached.

i REALLy WanT sOme HeLp
Jack brought 3 slices of cheese pizza and 4 slices of mushroom pizza for a total cost of $12.50. Grace bought 3 slices of cheese pizza and 2 slices of cheese pizza and 2 slices of mushroom pizza for a total cost of $8.50.
What is the cost of this one slice of mushroom pizza?
O $1.50
O $3.00
O $3.50
O $2.00

Answers

Answer:

$4.25

Step-by-step explanation:

Simple, 12.50 divided by four is 4.25. Meaning the answer is $4.25.

I need actual help on this.

Answers

Answer:

the average rate of change is D. -4

Can someone help me on this question? I Just need help with the 3rd question. Use the word bank below to answer. I’ll mark you brainliest if you answer soon!!!

Answers

Answer:

Transitive property

Step-by-step explanation:

I'm so sorry if it's wrong I took geo last year online and I still hated proofs. Transitive property is basically when x=y, y=z so x=z. since <4 and <5 are congruent and <1 and <4 are congruent, that would make <1 and <5 congruent because of the transitive property. Good luck with proofs!

Could the following side lengths make a right triangle?

28, 53, 45

Answers

Answer:

no. the triangle would be acute

Step-by-step explanation:

[tex]a^2 +b^2=c^2[/tex] ← formula for right triangle

[tex]28^2+53^2=45^2[/tex]?

[tex]28^2=784\\53^2=2809\\45^2=2025[/tex]

[tex]784+2809=3,593[/tex]

[tex]3,593 > 2025\\a^2 +b^2 > c^2[/tex]

which means the triangle is acute, not right.

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!

Stay Brainy!

Kallmekrish

Fill in the table and graph the parametric equation

Answers

Answer:

Shown above

Step-by-step explanation:

Sorry for my untidy handwriting

Identify potential solutions of the inequality 3x + 4 < 13. Select all that apply.

Answers

Answer:

3x+4<13

3x+4-4<13-4(3x<9) divide both sides by 33x/3< 9/3x < 3

The point I(–4, –1) is rotated 90 counter-clockwise about the origin. What is the image of I?


a. I(4, –1)
b. I(–1, –4)
c. I(1, –4)
d. I(4, 1)

Answers

Answer:

I(1, -4)

Step-by-step explanation:

(-4, -1) is in Quadrant 3 where x and y are negative

when it's rotated 90 ccw it will become in Quadrant 4 where x is positive and y is negative

and also the values of x and y switches

so the answer will be I(1, -4)

What is the area of a sector with a central angle of 10π7 radians and a radius of 18. 4 m? Use 3. 14 for π and round your final answer to the nearest hundredth. Enter your answer as a decimal in the box. M².

Answers

The area of the sector of the circle will be 759.34 m². It is the amount of area enclosed inside the sector's perimeter.

What is an area of the sector?

The area of a circle's sector is the amount of space encompassed inside the sector's perimeter. The origin of a sector is always the circle's center.

The region of a circle encompassed by its two radii and the arc connecting them is known as the sector of a circle.

The given data in the problem is;

[tex]\rm \theta[/tex] is the central angle=[tex]\frac{10\pi}{7}[/tex]= 4.485

r is the radius = 18.4 m

The area of a sector of a circle is found as;

[tex]\rm A= \frac{\theta}{2} \pi r^2 \\\\ \rm A= \frac{4.485}{2} \times (18.4)^2 \\\\ \rm A=759.34 \ m^2[/tex]

Hence the area of the sector of the circle will be 759.34 m².

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Katie took a plane to visit her grandparents for the summer. at the airport, she paid to check 3 bags. since all of her bags were over the weight limit, she had to pay an additional $6 fee for each bag. katie paid a total of $102 to check her bags.
which equation can you use to find the amount of money, x, it costs to check a bag that's under the weight limit?

Answers

Answer:

it costs  $26 to check a bag that's under the weight limit

Step-by-step explanation:

she had to pay an additional $6 fee for  each of the 3 bags.($18 in total)

x= each bag

3x +18 = 102

3x=84

x=26

   

Answer:It costs $28 for a bag that is under the weight limit.

Step-by-step explanation:

3(x+6) = 102

3x+ 18 = 1023x+18=102

3x = 843x=84

x = 28x=28

PLS ANSWER IT I just need the answer

Answers

The y-intercept is (0,2)

you can find the y-intercept by finding the value of y when x = 0

The slope is -5/2.

you can find the slope by using the equation below and any two points on the line, such as (0,2) and (2,-3)

           [tex]\frac{y2-y1}{x2-x1}=\frac{-3-2}{2-0} =\frac{-5}{2}[/tex]

               

Hope that helps!

8 times what equals 64

Answers

Answer:

8

Step-by-step explanation:

The required, following the given condition of the equation model,  8 times 8 equals 64.

We start with the equation 8x = 64, where x represents the unknown value we're trying to find. The equation states that when we multiply 8 by x, the result is 64.

To solve for x, we want to isolate it on one side of the equation. In this case, we can achieve this by dividing both sides of the equation by 8. Dividing both sides by 8 gives us:

8x = 64

(8x) / 8 = 64 / 8

Simplifying, we have:

x = 8

Therefore, 8 times 8 equals 64.

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If the cost of a dozen pencil is ₹ 159.48, what will be the cost of 24 such pencil?​

Answers

Answer:

₹ 318.96.

Step-by-step explanation:

24/12 = 2 , so twice as much;

159.48 * 2 = 318.96

what fraction gives you an answer of 11/12

Answers

Hi there! The fraction that gives you 11/12 is 44/ 48.

---

Hope this helps you!

WHO IS GOOD AT MATH AND CAN HELP ME WITH 20 QUESTIONS



The rectangular prisms shown are packed with unit cubes. Match the rectangular prisms that have the same volume.

Answers

Answer:

Step-by-step explanation:

In order to find which prisms have the same, we use the formula:

A = L x W x H (Area = Length x Width x Height)

So, count the individual squares on each side, multiply them, and that is the area. Then, find which ones are the same:

Cube 1: A = 4 x 4 x 3 = 48

Cube 2: A = 6 x 4 x 2 = 48

Cube 3: A = 4 x 3 x 3 = 36

Cube 4: A = 8 x 2 x 2 = 32

Cube 5: A = 4 x 2 x 4 = 32

Cube 6: A = 6 x 2 x 3 = 36

So, Cube 1 and Cube 2 are the same with 48.

Cube 3 and Cube 6 are the same with 36.

Cube 4 and Cube 5 are the same with 32.

:)

Answer: 1 and 2, 4 and 5, and 3 and 6.

Step-by-step explanation: To find the volume of a rectangular prism, you multiply the length, width, and height to get the volume.  The volumes for each cube is in the order of top left and continue until the bottom right.

48 cubic units.48 cubic units.36 cubic units.32 cubic units.32 cubic units.36 cubic units.

From there, you can match them, and then your answer is complete.

Let me know if this is right! :)

3x2 + 6x = 12 (using quadratic formula)

Answers

The answer is x=1
See the photo for the explanation.

Which property can be used to solve the equation?

5 d = 75
addition property of equality
subtraction property of equality
multiplication property of equality
division property of equality

Answers

Answer:

Division property of equality

Step-by-step explanation:

If you have an equation with the variable not equal to one you want it to equal one so you would divide to get the variable to 1 so 5/5 and then you would do the same to the other side(75/5) d=15.

Answer:Division property of equality

Step-by-step explanation:If you have an equation with the variable not equal to one you want it to equal one so you would divide to get the variable to 1 so 5/5 and then you would do the same to the other side(75/5) d=15.

Help will give brainleiest

Answers

Answer:

40" by 50"

Step-by-step explanation:

From inspection of the diagram,

height of 2 squares of the quilt ≈ height of doll plus a little bit

⇒ height of 2 squares of the quilt ≈ 18 + 2 = 20 in

⇒ height of 1 square of the quilt ≈ 20 ÷ 2 = 10 in

As the height of a square = width of a square

⇒ width of 1 square of the quilt ≈ 10 in

Dimensions of the quilt

width = 4 squares = 4 × 10 = 40 in

height = 5 squares = 5 × 10 = 50 in

Ratios

We can also work out the width and height by using ratios.

The ratio of width to height of the quilt = 4 squares : 5 squares

If we multiply by 10, the ratio becomes 40 : 50

Final Solution

40" by 50"

13 point
A square box has a height of 21 inches. What is the measure of the
diagonal of the box? Round to the tenths place.

Answers

Answer:

29.7 inches

Step-by-step explanation:

if it's a square box we can assume that all sides are equal. so the width is also equal to 21 inches.

to find the diagonal we use the pythagorean theorem which states that a^2 +b^2 =c^2 where c is the diagonal and (a) and (b) are 21

so diagonal is the root of

21^2 + 21^2

answer is 29.7

It's Eva's turn to bring the halftime snacks for her soccer team. She helps her dad cut up
oranges and wash grapes, and they load everything into a cooler shaped like a rectangular
prism. The cooler is 22.5 inches long, 12 inches wide, and has a volume of 4,320 cubic
inches.

How tall is the cooler?

Write your answer as a whole number or decimal. Do not round.

Answers

Answer:

Volume = a.b.c = k^3  

Step-by-step explanation:

Volume = a * 22.5 * 12 = 4320

a = 16 inches

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25Which equation best represents the relationship between x and y in the graph?Y9S254321-23Ay=-4-343BY--x-3c y = - 8x - 4D y = - 3X -4Cy7XDy=-31* gina wilson unit 8 right triangles&trignometry homework 2 help Melanie goes to a shelter to buy a dog. She has settled on two dogs, an Alsatian and a bulldog. To decide between them, she plans to flip a coin. Before she does, she flips the coin 50 times to check for fairness of the model. Her results are shown in the table.Coin Toss Result Times Result Occurredheads 24tails 26The relative frequency of landing on heads is ____. The relative frequency of landing on tails is ____. NEED HELP ASAP!!! GIVING BRAINLIEST+30 POINTS FOR FASTEST, BEST ANSWER FOR THESE TWO QUESTIONS!!!!!Solve nine times two thirds.Leave your answer as an improper fraction. eleven twenty sevenths eighteen twenty sevenths eleven thirds eighteen thirds What is the estimated sum of 709 645 798 704 and 658? i need help on this and a few more i have been busy lately Jade is going out for pizza with her friend.For 60 dollars how many pizzas can she buy if each pizza costs 12 dollars a 3-year old child arrives for an outpatient venipuncture clutching a very dirty doll. As you introduce yourseld, they hold it even tighter. Which of the following actions should you take? 4. Look at Ernesto's description of his new school in California and his old school in mazatlan. What do you notice about his choice of words and expressions? How does his language reveal his feelings? B. para sa agham1. ano ang ginawa mo, bakit mo ito ginawa? A mixture of h2 and water vapor is present in a closed vessel at 20.00c. the total pressure of the system is 755.0 mmhg. the partial pressure of the water vapor 17.50 mmhg. what is the partial pressure of h2? type in your answer using the correct number of significant figures. mmhg An acetylene tank has a volume of 390.0 L. It is stored at a temperature of 23.5 C and has apressure of 1765 kPa. How many moles of acetylene are in the tank? Need the answer for this question Tabetha has a mental picture of the layout of her house, also called a ________, so when she comes home late at night she can navigate through the rooms without turning on a light. Select one: a. Fixed ratio map b. Fixed interval map c. Cognitive map d. Latent map When the cpi is 185, an electric razor cost $57.81. what is the difference between the price of an electric razor in 1983 and the cost of an electric razor when the cpi is 207, to the nearest cent? a. $33.44 b. $31.25 c. $26.56 d. $6.88 A student wants to learn how to spell 200 words on a list. The student learned how to spell the first 25 words on the list at a rate of 5 words per day. At this rate, how many days will it take for the student to learn how to spell the remaining words on the list A. 14B. 15C. 35D. 45 Jasmine has four rectangular baking pans. Which of the pans has the greatest volume?Pan D: 8 in. by 8 in by 2 1/2 in.Pan A: 9 in. by 16 in by 1 1/2 in.Pan C: 9 in. by 9 in by 2 in.Pan B: 9 in. by 13 in by 1 in. which geographic region is most of the Great Rift Valley found can you guys answer this? What is the force between two 1.0 x 10-5 c charges separated by 2.0 m?