Maria collected some stones at the beach. Now she wants to make a clear plastic container to display the stones. To plan the container, Maria decides that she must first find the volume of the stones. Maria had an aquarium that is shaped like a rectangular parish. It's 8 inches wide, 16 inches long and 10 inches high. Maria pours some water onto the aquarium. She finds that the water reaches to the height of 4 inches. Find the volume of the water in the aquarium. Next, Maria now puts the stones on the aquarium. She measures and finds that the water reaches to new height of 7 inches. Find the volume of the stones

Answers

Answer 1

Answer:

The volume of the stones is 382 cube inches.

Step-by-step explanation:

The dimensions of the aquarium are;

length = 16 inches

width = 8 inches

height = 10 inches

The height of the water in the aquarium = 4 inches

i. Volume of the water in the aquarium = length x width x height

                               = 16 x 8 x 4

                               = 512 cube inches

The volume of water in the aquarium is 512 cube inches.

ii. The new height of water = 7 inches.

New volume of water = 16 x 8 x 7

                                  = 896 cube inches

The new volume of water is 869 cube inches.

The volume of the stones = New volume of water - initial volume of water

                                  = 869 - 512

                                  = 384 cube inches

The volume of the stones is 382 cube inches.


Related Questions

Let R(x)=3x3+2x2+x and S(x)=4x2+1. Find R(x)−S(x).

Answers

Answer:

hope it will help u......................

The function R(x) - S(x) is [tex]3x^{3} -2x^{2} +x-1[/tex].

What is function?

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable) is called function.

According to the given question.

We have two functions

[tex]R(x) = 3x^{3} +2x^{2} +x[/tex]

And, [tex]S(x) = 4x^{2} + 1[/tex]

Therefore, the function   R(x) - S(x) is given by

[tex]R(x) - S(x) = 3x^{3} +2x^{2} +x-(4x^{2} +1)[/tex]

[tex]\implies R(x) - S(x) = 3x^{3} +2x^{2} +x - 4x^{2} -1[/tex]

[tex]\implies R(x) - S(x) = 3x^{3} -2x^{2} +x-1[/tex]

Hence, function R(x) - S(x) is [tex]3x^{3} -2x^{2} +x-1[/tex].

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Given
f (x) = x3 + 1
and
g(x) = x – 1
find the composition
f(g(x))

Answers

Answer:

(x-1)³+1

is correct option

i need help and it would be great if someone could answer most of them please

Answers

Answer:

[tex]h=6\\k=2.5\\n=3\sqrt{10}\\m=\sqrt{21}\\p=\sqrt{17}[/tex]

Step-by-step explanation:

All of the triangles in this problem are right triangles. This means that all of them contain a right angle, this is indicated by the box around one of the angles. The Pythagorean theorem is a property of the sides of a right triangle, this property, in the form of an equation, is as follows,

[tex]a^2+b^2=c^2[/tex]

Where (a) and (b) are the legs, that is, the sides that are adjacent to the right angle of a right triangle. The parameter (c) represents the hypotenuse, the side opposite the right angle of a right triangle. For each triangle, substitute the given side lengths, simplify, and solve for the unknown side.

[tex](h)^2+(8)^2=(10)^2\\h^2+64 = 100\\h^2=36\\h=6[/tex]

[tex](k)^2+(6)^2=(6.5)^2\\k^2+36=42.25\\k^2=6.25\\k=2.5[/tex]

[tex](n)^2+(\sqrt{10})^2=(10)^2\\n^2+10=100\\n^2=90\\n=\sqrt{90}\\n=3\sqrt{10}[/tex]

[tex](m)^2+(2)^2=(5)^2\\m^2+4=25\\m^2=21\\m=\sqrt{21}[/tex]

[tex](p)^2+(\sqrt{68})^2=(\sqrt{85})^2\\p^2+68=85\\p^2=17\\p=\sqrt{17}[/tex]

Please help me I will give you 16 points I don’t know what that do but I will

Answers

Answer:

40

Step-by-step explanation:

The serving sizes, [tex]x[/tex], of 20, 80, and 120 have a required amount of meat in pounds, [tex]y[/tex], of [tex]y=\frac{1}{10}x[/tex] (the number of pounds of meat is equal to 1/10th the serving size)

However, for the row with a serving size of 40, the number of pounds of meat is equal to [tex]\frac{6}{40}=\frac{3}{20}[/tex] the serving size. Therefore, the serving size of 40 has a different ratio of serving size to pounds of meat than the other ratios.

Which polynomial is factored completely? g Superscript 5 Baseline minus g 4 g cubed + 18 g squared + 20 g 24 g squared minus 6 g Superscript 4 2 g squared + 5 g + 4

Answers

Answer:

It's D on Edge 2021

I did the assignment

The polynomial that is factored completely is one that can not be factored again is 2g² + 5g + 4. Therefore, option D is the correct answer.

What is the factorisation of a polynomial?

Factorisation of a polynomial is the decomposition of a polynomial into smaller polynomials.

Thus, the polynomial that is factored in completely is the polynomial that can not be decomposed again.

Now,

g⁵ - g = g(g⁴ - 1) (it can be factored)

4g³ + 18g² + 20g = 2g(g + 2)(2g + 5)

24g² - 6g⁴ = 6g²(4g² + g²)

2g² + 5g + 4 cannot be factored again. It is already factored completely

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Which expression represents the situation below?
14 times the sum of 8 and 7, divided by 6.

Answers

Answer:

option 1

Step-by-step explanation:

Sum of 8 and 7 = 8 + 7

14 times sum of 8 and 7 = 14 x (8 + 7)

Divided by 6 = 14 × (8 + 7) ÷ 6

Answer:

1.) 14 × ( 8 + 7 ) ÷ 6

Step-by-step explanation:

Sum of 8 and 7 = 8 + 7

14 times of sum of 8 and 7 = 14 × ( 8 + 7 )

And it Divided by 6 = 14 × ( 8 + 7 ) ÷ 6

Determine the zeros from the graph:
can someone please help

Answers

Answer:

-3, -1, 2 i belive sorry if I'm wrong

Slope of (1,-15) (10, -13)

Answers

1 is the correct answer

Answer:

i really dont know

Step-by-step explanation:

If the original function f(x) = 2x2 - 1 is shifted to the left 3 units to make the function g(x), which expression would represent g(x)?
(1)2(x-3)^2-1 (3)2x^2+2
(2)2(x+3)^2-1 (4)2x^2-4​

Answers

Answer:  2(x+3)^2 - 1

To shift the f(x) function 3 units to the left, the xy axis must move 3 units to the right. This effectively means each x input is 3 units larger than before. That's why we replace every x with x+3.

15. What is the equation of the line that contains the point (3,-1) and is perpendicular to the line whose
equation is 6x + 2 y = 4?

Answers

Answer:

2y=-2x

Step-by-step explanation:

2y=4-6x

2y=-2x

y=-1

please help me i don’t know how to solve this

Answers

Answer:

welp good luck ha

Step-by-step explanation:

EASYY ASAPPP!!!!!!
Include 3 examples of each vertical, horizontal, and oblique lines of symmetry that you can find in your house. List them below

Answers

Answer:

fridge. door. cabinet. Each line goes from bottom right to top left

Step-by-step explanation:

what equation can be used to represent "six added to twice the sum of a number and four is equal to one-half of the difference of three and the number"?

Answers

Answer:

6+2(n+4) = (3-n)÷2

Step-by-step explanation:

6 + 2n + 8 = (3-n)/2

14 + 2n = (3-n)/2

multiply through by 2 to eliminate the denominator

28 + 4n = 3 - n

25 + 4n = -n

25 = -5n

n = -5

8 steps ----> 20 ft
6 steps -----> 15 ft

4a. Is this a proportional relationship?
yes
no

14b. If no, explain. If yes, find constant of proportionality. *

Answers

Answer:

It is a proportional relationship. 1 step/2.5 Feet.

Step-by-step explanation:

First of all, you need to find out what a single step equals to feet.

If 6 steps is 15 feet, and 8 is 20, then 2.5 feet is the transition of proportional relationship. (15, 17.5, 20)

This means that the proportional relation ship is that every 1 step is equal to 2.5 feet.

Can somebody pls help me!!?

Answers

Answer:

$ 7.29

Step-by-step explanation:

bill = $40.50

tip = 18%

tip amount = tip% of bill

=18/100 * $40.50

=729/100

=$ 7.29

Answer:

7.29 DOLLARS IS THE ANSWER

simplify 3^3 - 2x(5x-5) + √25

Answers

-10x^2+10x+32 is the simplified answer

HELP ME PLZ!!!!! Plz!!!

Answers

Answer:

hi the right answer is option C.112

here's why:

[tex] \frac{14}{50} \times 400 = 112[/tex]

ANSWERS:

positive linear

negative linear

nonlinear

no relationship

Answers

Answer:

Step-by-step explanation:

No relationship i belive

The answer is no relationship

Step by step explanation

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Polygon ABCD is a parallelogram, and m-ABC = 127º. The length of BC is 10 units, and the length of AB is 5 units.
1271
D
units, and m_BCD is
The perimeter of the parallelogram is

Answers

Answer:

Perimeter = 30 units

m<BCD = 53°

Step-by-step explanation:

Recall: in any parallelogram, consecutive angles are supplementary. Also, the pairs of parallel sides are equal in length.

We would use this knowledge to solve the problem given.

m<ABC = 127° (given)

BC = 10 units

AB = 5 units

✔️Perimeter of the parallelogram = AB + BC + CD + AD

AB = CD = 5 units (pair of parallel sides)

BC = AD = 10 units (pair of parallel sides)

Perimeter = 5 + 10 + 5 + 10

Perimeter = 30 units

✔️m<BCD = 180° - m<ABC (consecutive angles are supplementary)

m<BCD = 180° - 127° (Substitution)

m<BCD = 53°

PLEASE HELP. !!!!!!!!!

Answers

Answer:

Step-by-step explanation:

Remark

The law of chord intersection is that each chord from one point on the circumference to the intersect point when multiplied by the left over amount of the chord = the same thing done to the other chord. It's easier to understand the formula used to solve this problem than it is to work through the definition.

Equation

x*4 = 14 * 2

Explanation

Take x from the chord's end on the circumference to the intersect point and four's length from the intersect point to the circumference. Multiply them

Do the same thing with the other chord.

Solution

4x = 28          Divide by 4

x = 28/4

x = 7

2. A stack of 500 sheets of paper is 2.5 inches high. Each sheet of paper is 8.5 inches wide and 11 inches long. A person places more sheets onto the stack, making the total volume of the stack 561 cubic inches. Approximately how many more sheets of paper were added to the original stack of paper?

1) 200

2) 700

3) 1,200

4) 1,700

Answers

1200 hajajajajsksslskskskskskskskjsjsjsjsjsjsjjsjsjsjsjjs

David must choose a number between 55 and 101 that is a multiple of 4, 8, and 12. Write all the numbers that he could choose. If there is more than one number, separate them with commas.

Answers

Answer:

72,96

Step-by-step explanation:

Multiple's of 4 starting above 50 to 101

52, 56, 60, 64, 68, 72, 76, 80,84,88,92,96,100

Multiple's of 8 starting above 50 to 101

56, 64, 72, 80, 88, 96,

Multiple's of 12 starting above 50 to 101

60, 72, 84, 96,

See which numbers are in all three lists

72,96

Nala and lily are playing a dice game where they score points. After one round, the ratio of nala point to lily's point is 7 to 9. If nala has 14 more points than lily, determine how many points lily has.

Answers

Answer:

Lily has 63 points and Nala has 49.

Step-by-step explanation:

Since Nala and Lily are playing a dice game where they score points, and after one round, the ratio of Nala's points to Lily's points is 7 to 9, if Nala has 14 more points than Lily, to determine how many points Lily has se you must perform the following calculation:

9 - 7 = 2

14/2 = 7

7 x 7 = 49

7 x 9 = 63

63 - 49 = 14

Therefore, Lily has 63 points and Nala has 49.

If EG = 10 and EF = 4, then
FG = [?]
E
F
G

Answers

Answer:

Step-by-step explanation:

It's 6

may anyone help me please and thank you so much !

Answers

Answer:

8

Step-by-step explanation:

true or false : A triangle can have interior angles of 50 degrees, 70 degrees, and 68 degrees​

Answers

false, because the 3 interior angles must all add up to a total of 180°

Answer:

it is false as the sum of the degrees of the triangle should be 180 but here it is 188 so it is false

On a spelling quiz lily got 16 out of 20 questions correct which radio shows represents the number of that response to the total number of questions

Answers

I’m not exactly sure what your asking so maybe one of these is right 16/20 16:20 80% 4/5

For the image below, state the line of reflection:
4
***
O
y=-x
o
yx
o
X-axis
y-axis
State the line of reflection of this pre-image and image

Answers

There is no image????

If 3/5 of class of 30 students went swimming, how many went swimming?

Answers

Answer:

18 students.

Step-by-step explanation:

3/5ths of 30 is 18.

18 students went swimming

............................

Answers

Answer:

8.63

Step-by-step explanation:

It ends in a one and it has to end in the 100ths place sooo.... yeah

Hope this helps!

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